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Atomic data of 5g[K]J, 6f[K]J, nd[k]j (n = 7, 8), 8p[K]J and 9s[K]J autoionizing Rydberg series of 129Xe I
Journal Pre-proofs Atomic data of 5g[K] J , 6f[K] J , nd[K] J (n = 7, 8), 8p[K] J and 9s[K] J autoionizing Rydberg series of 129Xe I
Ola Hassouneh, Wa'el Salah, Sajeda Bathish PII: DOI: Reference:
S2211-3797(19)32790-1 https://doi.org/10.1016/j.rinp.2019.102864 RINP 102864
To appear in:
Results in Physics
Received Date: Accepted Date:
16 September 2019 7 December 2019
Please cite this article as: Hassouneh, O., Salah, W., Bathish, S., Atomic data of 5g[K] J , 6f[K] J , nd[K] J (n = 7, 8), 8p[K] J and 9s[K] J autoionizing Rydberg series of 129Xe I, Results in Physics (2019), doi: https://doi.org/10.1016/ j.rinp.2019.102864
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Atomic data of 5g[K]J, 6f[K]J, nd[K]J (n = 7, 8), 8p[K]J and 9s[K]J autoionizing Rydberg series of 129Xe I Ola Hassouneh†, Wa’el Salah*‡, Sajeda Bathish‡ † Department of Physics, The University of Jordan, Amman 11942, Jordan ‡ Department of Physics, The Hashemite University, Zarqa 13115, Jordan Abstract The energy levels, oscillator strengths, transition rates, Landé 𝑔𝐽-factors and magnetic dipole hyperfine constant for the 5g[K]J, 6f[K]J, nd[K]J (n = 7, 8), 8p[K]J and 9s[K]J autoionizing Rydberg series of
129Xe
have been computed. The computations, were carried out relative to the
ground state in the multiconfiguration Dirac-Hartree-Fock framework. Owing to restrictions imposed by electric dipole selection rules, the transitions from the ground state to the levels 8p, 5g and 6f levels are forbidden, therefore we computed all the 5p5(2P)6p-5p5(2P)8d, 5p5(2P)7p5p5(2P)nd (n =7, 8), 5p5(2P)5d-5p5(2P)8p, 5p5(2P)ns-5p5(2P)8p (n = 6, 7, 8) , 5p5(2P)6d-5p5(2P)8p, 5p5(2P)nd-5p5(2P)8p (n = 7, 8), 5p5(2P)nf-5p5(2P)7d (n = 4, 5) and 5p5(2P)nf-5p5(2P)5g (n = 4, 5) oscillator strengths and transition rates. In order to check the accuracy of the obtained data, the current theoretical results are compared with other earlier experimental and theoretical data available in the literature. In general, a high level of agreement has been observed for most of the levels. The present data is a continuation of our previous theoretical data calculated for
129Xe
I
(W. Salah, O. Hassouneh, Results in Physics, 12, 153 (2019)). Keywords: Atomic structure, Atomic energy level, Dirac Hamiltonian in atomic theory, Oscillator strengths, Radiative transition rates, Landé 𝑔𝐽-factor, Hyperfine constants. *Corresponding author: Email: [email protected]
1
1.
Introduction
Excluding helium, the ground state of noble gases owns a np6 closed shell configuration with n = 2, 3, 4, 5, 6 and 7 for neon, argon, krypton, xenon, radon and oganesson, respectively. Their onephoton excitation spectra display Rydberg series that converging towards two distinctive and adjacent ionization limits. In the xenon case, the ionization limits are np5(2P3/2) ( I3/2 = 97833.7 cm-1) and np5(2P1/2) (I1/2 = 108370.8 cm-1) [1]. For that reason, they have been a subject of extensive theoretical as well as experimental studies as showed by [2-3] for argon, [4] for krypton and [5] for xenon and the references therein. The jlk or Racah-coupling Scheme [6] prevails the energy terms of the excited states of inert gases. Even with a wealth of accurate experimental spectral data and particularly for the Rydberg series of even parity in inert gases, the knowledge of these data for the levels situated between the two limits of ionization as well as autoionizing levels is suffering from scarceness as was showed in our previous papers [2-5]. In an effort to overcome this scarcity in the spectral lines, we recently published a set of papers containing a complete set of spectral data for argon [2-3] and krypton [4]. The set of spectral data composed of energy levels, transition rates, oscillator strengths, magnetic dipole and electric quadrupole hyperfine constants and the Landé 𝑔𝐽-factors. In our recent paper [5], we reported a detailed spectral data for the levels belonging to the 6s[k]J, 4f [k]J, 5d[k]J, 6p[k]J, 7s[k]J, 5f [k]J, 6d[k]J, 7p[k]J and 8s[k]J
intermediate Rydberg series in
neutral 129Xe. Also, we computed all the 5p5(2P)5d-5p5(2P)nf (4 ≤ n ≤ 5), 5p5(2P)5d-5p5(2P)np (6 ≤ n ≤ 7), 5p5(2P)6s-5p5(2P)np (6 ≤ n ≤ 7), 5p5(2P)7s- 5p5(2P)6p, 5p5(2P)6d-5p5(2P)nf (4 ≤ n ≤ 5), 5p5(2P)6d - 5p5(2P)np (6 ≤ n ≤ 7), 5p5(2P)7s-5p5(2P)7p and 5p5(2P)8s-5p5(2P)np (6 ≤ n ≤ 7) oscillator strengths and transition rates. The calculations were performed through Multiconfiguration-Dirac-Hartree-Fock (MCDHF) method. All effects produced by the relativistic configuration interaction (RCI), correlations between valence electrons and corevalence electrons and core polarizations are considered. Also, corrections due to the Breit and quantum electrodynamics (QED) along with the effect of nuclear charge distribution are also considered in the calculations. With the purpose of improvement and completing the data set of spectral lines for
129Xe
I, we
devote this paper. In this paper, the spectral data for the levels generating from the 5g[K]J, 6f[K]J nd[K]J (n = 7, 8), 8p[K]J and 9s[K]J autoionizing Rydberg series of 129Xe I is performed in the 2
MCDHF framework. Also, we computed all the 5p5(2P)6p-5p5(2P)8d, 5p5(2P)7p-5p5(2P)nd (n =7, 8), 5p5(2P)5d-5p5(2P)8p, 5p5(2P)ns-5p5(2P)8p (n = 6, 7, 8) , 5p5(2P)6d-5p5(2P)8p, 5p5(2P)nd5p5(2P)8p (n = 7, 8), 5p5(2P)nf-5p5(2P)7d (n = 4, 5) and 5p5(2P)nf-5p5(2P)5g (n = 4, 5) oscillator strengths and transition rates. These data are required to improve our knowledge of atomic structure on the one hand, and to satisfy specific requirements in different research area of physics; in particular the determination of astrophysical abundance [7], plasma diagnostics [8] as well as processes of optical excitation [9-11], on the other hand. 2. Basic notation from the relativistic atomic structure theory The method described below has been presented earlier in references [2-5]. Here we give only a short representation of the basic equations which present the framework of the MCHDF method. 2.1 The Multiconfiguration Dirac-Hartree-Fock method The computation of spectral data was performed by the General Relativistic Atomic Structure Package GRASP2K code [12] in which the MCDHF method is not only implemented but also can be executed [13]. The atomic state wavefunction (ASF) of parity Π, total angular momentum J and 𝑀𝐽 are built from the configuration state wave functions (CSFs)
|𝛾, Π, 𝐽, 𝑀𝐽 >
𝑁
|
(1)
𝐶𝑆𝐹 = ∑𝑟 = 𝑐 𝛾 , Π, 𝐽, 𝑀𝐽 > 1 𝑟 𝑟
with 𝑁𝐶𝑆𝐹 refers to the number of CSFs, 𝛾𝑟 represents any additional quantum number required to complete the description of both ASF and CSFs and {𝑐𝑟} specifies the representation of the atomic state in this basis [14]. The CSFs are produced from antisymmetrized products of a complete set of orthonormal orbitals which are enhanced on the Coulomb-Dirac Hamiltonian bases 𝑁
𝑁―1 𝑁
𝐻 = ∑𝑖 = 1(𝑉(𝑟𝑖) 𝐼 + (𝛽 ― 𝐼 )𝑐2 + 𝑐 𝛼 ∙ (𝑃𝑖 + 𝐴(𝑟𝑖)) + ∑𝑖 = 𝑗 ∑𝑗 = 𝑖 + 1𝐻𝐵𝑖𝑗
(2)
with 𝐻𝐵𝑖𝑗 =
1 𝑟𝑖𝑗
𝑁
― ∑𝑖 <𝐶𝑆𝐹𝑗 (
𝛼𝑖 ∙ 𝛼𝑗 𝑟𝑖𝑗
cos (𝜔𝑖𝑗𝑟𝑖𝑗 /𝑐) + 𝑐2 (𝛼𝑖 ∙ ∇ )(𝛼𝑗 ∙ ∇ )
3
cos (𝜔𝑖𝑗 𝑟𝑖𝑗/𝑐) ― 1 𝜔2𝑖𝑗 𝑟𝑖𝑗
)
(3)
where 𝐻𝐵𝑖𝑗 is the Breit operator of electron-electron interaction, c = 137 is the speed of light , 𝑉
(𝑟𝑖) being the electric scaler potentials due to the electron-nucleus interaction and 1/𝑟𝑖𝑗 is the electric potential due to the electron-electron interaction, 𝐴(𝑟) is the magnetic vector potential, 𝑃 is the electron’s momentum operator, 𝛼 an 𝛽 are Dirac matrices [15], 𝐼 is the identity matrix, 𝜔𝑖𝑗 is the angular frequency of the photon, which the two electrons exchanging, and ∇ is the gradient operator acting only on the the inter-electronic radial space. The central field model of atoms assumes that the electrons move in a central potential, thereupon, the first summation of equation (2) reduces to single-electron Dirac Hamiltonian [16] 𝐻𝐷(𝑖) = 𝑐 𝛼 ∙ 𝑃𝑖 + (𝛽𝑖 ― 𝐼 )𝑐2 + 𝑉𝑁(𝑟) 𝐼
(4)
where 𝑉𝑁(𝑟) is the nuclear attraction potential at a distance r. The nucleus of charge Z modeled as a point or finite-size charge. In this model, the charge of nucleus of atomic mass A is assumed to be uniformly distributed over a sphere of radius 𝑅𝑛 = 2.022 × 10 ―5 𝐴1/3 . Under these circumstances, the electric potential for a nucleus of charge Z can be written in analytical form as 𝑉𝑁(𝑟) =
{
𝑧
(
― 2𝑅𝑛 3 ―
( ) ), 𝑟 2
𝑟 ≤ 𝑅𝑛
𝑅𝑛
―𝑍/𝑟 ,
(5)
𝑟 > 𝑅𝑛
Worthy to note that the second derivative of this potential has a point of discontinuity at the nuclear boundary. However, the present version of GRASP2K deal with the nuclear boundary as a grid point, thereby cancelling any numerical instabilities. The diagonalization of the Dirac-Coulomb-Breit Hamiltonian matrix yields the energy for the levels under consideration. 2.2 Radiative transition rates per second and oscillator strengths The relativistic transition rates 𝐴𝑓𝑖 for the electric dipole transition 𝐸1 from the excited state f to the initial state i is given in terms of the reduced matrix elements 𝑀𝑖𝑓[14-15] 𝐴𝑓𝑖 = 2 𝛼 𝜔𝑖𝑓
2𝑗𝑖 + 1 2𝐿+1
(
𝑗𝑓 𝐿 1/2 0
2
) |𝑀 |
𝑗𝑖 ―1/2
where 𝑀𝑖𝑓 is the reduced matrix elements 4
𝑖𝑓
2
(6)
{
(1) 𝑀(𝑒) 𝑖𝑓 + 𝐺 𝑀𝑖𝑓 𝑓𝑜𝑟 𝑒𝑙𝑒𝑐𝑡𝑟𝑖𝑐 𝑚𝑢𝑙𝑡𝑖𝑝𝑜𝑙𝑒 𝑡𝑟𝑎𝑛𝑠𝑖𝑡𝑖𝑜𝑛𝑠 𝑀𝑖𝑓 = 𝑀(𝑚) 𝑓𝑜𝑟 𝑚𝑎𝑔𝑛𝑒𝑡𝑖𝑐 𝑚𝑢𝑙𝑡𝑖𝑝𝑜𝑙𝑒 𝑡𝑟𝑎𝑛𝑠𝑖𝑡𝑖𝑜𝑛𝑠 𝑖𝑓
(7)
with G is the gauge parameter 𝐺=
{
0, 𝐶𝑜𝑢𝑙𝑜𝑚𝑏 𝑔𝑎𝑢𝑔𝑒
(8)
𝐿+1 𝐿
, 𝐵𝑎𝑏𝑢𝑠ℎ𝑘𝑖𝑛 𝑔𝑎𝑢𝑔𝑒
and 2𝐿 + 1
𝑙+1 𝑀(𝑚) 𝑖𝑓 = (𝑖)
𝐿 (𝐿 + 1) 𝐿
𝐿 𝑀(𝑒) 𝑖𝑓 = (𝑖) [
𝐿+1
(9)
((𝜅𝑖 ― 𝜅𝑓) 𝐼𝐿++ 1(𝜔𝑖𝑓) + (𝐿 + 1)𝐼𝐿―+ 1(𝜔𝑖𝑓))
𝐿+1
―
(𝜅𝑓 + 𝜅𝑖) 𝐼𝐿+ (𝜔𝑖𝑓)
𝐿
((𝜅𝑖 ― 𝜅𝑓) 𝐼𝐿+― 1(𝜔𝑖𝑓) ― 𝐿 𝐼𝐿―― 1 )]
(10)
𝐿 + ― 𝑀(1) 𝑖𝑓 = (𝑖) [ (𝜅𝑖 ― 𝜅𝑓) 𝐼𝐿 + 1(𝜔𝑖𝑓) + (𝐿 + 1)𝐼𝐿 + 1(𝜔𝑖𝑓)
+ ((𝜅𝑖 ― 𝜅𝑓) 𝐼𝐿+― 1(𝜔𝑖𝑓)𝐿 𝐼𝐿―― 1) + (2𝐿 + 1)𝐽𝐿 ]
(11)
with
∞
𝜔𝑖𝑓
( 𝑟)( 𝑃
∞
𝐼𝐿± = ∫0 𝑗𝑙
𝑐
𝜔𝑖𝑓
( 𝑟)( 𝑃
𝐽𝐿 = ∫0 𝑗𝑙
𝑛𝑖 𝜅𝑖
𝑐
𝑛𝑖 𝜅𝑖
(𝑟) 𝑄𝑛𝑓 𝜅𝑓 (𝑟) ± 𝑄𝑛𝑖 𝜅𝑖 (𝑟) 𝑃𝜅(𝑟))𝑑𝑟 (𝑟) 𝑃𝑛𝑓 𝜅𝑓 (𝑟) + 𝑄𝑛𝑖 𝜅𝑖 (𝑟) 𝑄𝑛𝑓 𝜅𝑓 (𝑟))𝑑𝑟
(12) (13)
where 𝑗𝑙 is the first kind spherical Bessel function. The oscillator strengths 𝑓𝑖𝑓 is linked to the transition rates 𝐴𝑓𝑖 for electric dipole transitions in SI units by 𝐴𝑓𝑖 =
2𝜋 𝑒2
𝑔𝑖
𝑚𝑒 𝑐 𝜖0 𝜆 𝑔𝑓 2
(14)
𝑓𝑖𝑓
Here e and 𝑚𝑒 being the electron charge and mass, respectively, c is the speed of light, 𝑔𝑖 and 𝑔𝑓 denote the statistical weight of the initial and final levels, respectively, 𝜖0 is the free space permittivity and 𝜆 is the wavelength transition.
5
2.3 Formalism of electron-nucleus (hyperfine) interaction In relativistic framework, the hyperfine structure of the atomic energy levels arising from the interaction between the electrons and the electromagnetic multipole moments of the nucleus [3]. The contribution of this interaction to the Hamiltonian can be achieved by a multipole expansion of order k 𝐻ℎ𝑓𝑠 = ∑𝑘 ≥ 1𝑇(𝑘) ∙ 𝑀(𝑘)
(15)
where 𝑇(𝑘) and 𝑀(𝑘) are spherical tensor operator of rank k ≥ 1 representing the electronic and nuclear part of the interaction, respectively [3]. The terms with k = 1 and 2 represent the magnetic dipole and the electric quadrupole interaction parts of the hyperfine interaction [3]. The hyperfine structure of an atom is usually presented on the {|𝐽 𝐼 𝐹 𝑀𝐹 > } fine structure basis, where F is the hyperfine quantum number of the total angular momentum 𝐹 = 𝐽 + 𝐼 and I is the nuclear angular momentum. F, I and J are always considered as a good quantum number. The matrix elements of 𝐻ℎ𝑓𝑠 over states with different J are neglected. Under these conditions, the hyperfine energy of the magnetic dipole and electric quadrupole interactions is given by 𝐸ℎ𝑓𝑠 =
𝐴𝑀𝐷 2
𝐶+
𝐵𝐸𝑄 ( 3 𝐶 (𝐶 + 1) ― 4𝐽 (𝐽 + 1)𝐼 ( 𝐼 + 1)) 8
𝐽 (2𝐽 ― 1)𝐼 (2𝐼 ― 1)
(16)
with 𝐶 = 𝐹(𝐹 + 1) ―𝐼 (𝐼 + 1) ―𝐽 ( 𝐽 + 1)
(17)
The nuclear magnetic dipole moment 𝜇𝐼 and the electric quadrupole moment Q contribute to the magnetic dipole 𝐴𝑀𝐷 and the electric quadrupole 𝐵𝐸𝑄 hyperfine constants [17-18], this results in 𝐴𝑀𝐷 =
𝜇𝐼 𝐼
(𝐽 (𝐽 + 1)(2 𝐽 + 1)) ―1/2 < J || 𝑇(1)|| J > 2𝐽 ( 2𝐽 ― 1)
𝐵𝐸𝑄 = 2𝑄 [ (2𝐽 + 1) ( 2𝐽 + 2)( 2𝐽 + 3)]
1/2
< 𝐽 ||𝑇(2)|| 𝐽 >
(18) (19)
However, there are restrictions on which electric quadrupole moment Q can be experimentally measured [3]. The experimental optical measurements are only sensitive to the quadrupole interaction as long as the nuclear spin I and the total angular momentum J are both ≥ 1. For any nuclear state which violate this condition, there will be no hyperfine 𝐵𝐸𝑄 constants to deal with. 6
The Landé 𝑔𝐽-factor of the levels in hand is 𝑔𝐽 =
2
𝑁
𝐽((𝐽 + 1))
2
(1)
< 𝛾𝑟 , Π, 𝐽||∑𝑗 = 1[ ― 𝑖 2 𝛼2 𝑟𝑗 (𝛼𝑗 𝐶(1) 𝑗 )
1
+ 2 (𝑔𝑠 ― 2) 𝛽𝑗∑𝑗] ||𝛾𝑟 , Π, 𝐽 >
(20)
with 𝑔𝑠 being the 𝑔-factor of the electron spin
(
𝑔𝑠 = 2 1 + where 𝑖 =
𝛼
2 𝜋 ― 0.328 478 695
𝛼 2
() 𝜋
+ (1.49 ± 0.2)
𝛼 3
( )) 𝜋
(21)
1
―1, ∑𝑗is the relativistic spin matrix [19] and 𝛼 = 137.0357999074 is the fine structure
constant. 3.
Results and discussions
3.1 Computational approach We have used the GRASP2K code to generate reliable numerical data for the energy levels, transition rates, oscillator strengths, hyperfine constants and Landé 𝑔𝐽-factors for many levels belonging to 5g[K]J, 6f[K]J, nd[K]J (n = 7, 8), 8p[K]J and 9s[K]J autoionizing Rydberg series of neutral xenon-129 isotope. The levels with different angular momentum are arranged in two groups of even and odd parity . The methodology of calculations is described elsewhere in details in our recent paper [5] and will not be given here in order to avoid repetition. The most important remarks in the present calculations, arising from the treatment of the valence electron in the outer shell. The 8d wave function is far away from the nucleus than the 5g, 6f, 7d and 8p wave function, whereas, the 6f-shell is closer to the nucleus than the 7d, 8p and 8d shells. The difficulty results from the treatment of the Rydberg electron in the valance shell which considered as open shell, whereas in some cases the closed shells have to be involved in the calculations [16], [20]. For that reason, the complete set of bases for the MCDHF expansion was built from one configuration state wave functions (CSFs). For heavier atom like xenon, the effect of the nuclear size must be involved in the calculations and therefore a fully relativistic treatment cannot be avoided. For that, the Dirac–Coulomb Hamiltonian is the proper Hamiltonian for oneelectron orbitals. Thusly, orbitals with high occupations are spectroscopic ones and must be taken into account. The basis state was constructed from single and double electron excitation from the ground state to various destination set. In the n = 5 active space, the destination set was {5d, 5f, 5g, 6p, 6d, 6f}. In the n = 6 active space, the destination set was {5d, 5f, 5g, 6p, 6d, 6f, 6g, 6h, 7s, 7
7p, 7d}, whereas in the n = 7 and 8 active space, the destination set was {5d, 5f, 5g, 6p, 6d, 6f, 6g, 6h, 7s, 7p, 7d, 7f, 7g, 7h, 7i, 8s, 8p, 8d} and {5d, 5f, 5g, 6p, 6d, 6f, 6g, 6h, 7s, 7p, 7d, 7f, 7g, 7h, 7i, 8s, 8p, 8d, 8f, 8g, 8h, 8i, 8k, 9s, 9p, 9d}, respectively. In the n = 9 active space, only {9s} orbital was considered. Because of that, we control the convergent of our numerical results by using a step wise increasing of the orbital set. As soon as the radial wave functions are obtained, corrections due to the frequency-dependent Breit interaction, vacuum polarization and self-energy correction were involved in the calculation of the matrix elements of the Dirac-Coulomb-Breit Hamiltonian. The diagonalization of this matrix enables us to determine the expansion coefficients 𝑐𝑟 of the CSF. Self-consistency optimization of the Radial functions and the corresponding expansion coefficients were performed by using the multiconfiguration self-consistent field (MCSCF) approach [21]. At this stage, we used the iterative technique of Davidson[22] in order to determine the eigenvalues and eigenvectors. Once these eigenvectors are determined, the allowed transition data between levels of opposite parities are calculated upon the electric-dipole transition rules. In Racah coupling scheme, these rules are as follows: ∆ J = 0, ± 1, ∆ j = 0, ∆ k = 0, ± 1 and ∆ l = ± 1. However, these rules are violated by transitions with change of the ionic core and transitions with ∆ l = 3 as reported by Rundel et al. [23] and Stebbings et al. [24]. Used for the calculation of energy levels of 129Xe I, an appropriate list of CSFS was constructed; depending on the notion of excitations from subshells to an active set of orbitals, i.e the active set method. By keeping all orbital subshells active, we considered an allowed single and double 2
excitation from [𝐾𝑟]4𝑑105𝑠25𝑝5( 𝑃𝑜) reference configuration, to one of the 5g, 6f, 7d, 8p, 9s and 8d relativistic orbitals under consideration. Due to the fact that many transitions of interest take place among levels which are situated between the two limits of ionization of
129Xe
I, the core-polarization and electron correlation effects are
included in the calculation. Thereupon, the ASFs are expanded over even 5s25p5 n'l' configuration states and one set of orbitals is optimized each time due to the stability of the GRASP2K code. The hyperfine structure constants and the Landé g-factors are calculated to first order in the MCDHF framework. However, the deformation of electron shell by nuclear moments are not considered in the calculations [25-26]. The appropriate wave functions | 𝐽, 𝑀𝐽 > used in MCDHF composed from all possible jj-coupled states that arising from the 5p5nl electronic configurations. 8
We used these wave functions in order generate the | 𝐼, 𝐽, 𝐹, 𝑀𝐹 > eigenstates of the hyperfine Hamiltonian. 3.2 Relativistic calculation of energy levels The MCDHF calculated values obtained in this work for the levels originating from the 5g[K]J, 6f[K]J, nd[K]J (n = 7, 8), 9s[K]J and 8p[K]J autoionizing Rydberg series of neutral xenon-129 isotope are given in table 1. In this table, comparison is made with other experimental and theoretical values in order to assure the reliability of our data. The theoretical values obtained by this work for the levels belonging to the 5g[K]J and 6f[K]J agreed well with those reported by NIST [27]. Moreover, this comparison showed that the energy of the 5g' [9/2]4, 5g' [9/2]5, 5g' [7/2]3 and 5g' [7/2]4 are reported here for the first time. These levels as well as the 6f ' [5/2]2, 6f ' [5/2]3, 6f ' [7/2] and 6f ' [7/2]4 levels converge to the second limit of ionization, they are autoionized into the 5p5(2P3/2) n'l' neighboring continua. The 5g' [K]J and 5f' [K]J levels merge and overlap with the 5g' [7/2]4 and 6f ' [7/2]4 level, respectively. The other levels situated under the first limit of ionization are not only bound but also overlap and interact with the other levels having the same J and K values. This interaction produces series of perturbations, the 5g [7/2]3 level couples with the 5g' [7/2]3 level, the 5g [7/2]4 level couples with the 5g' [7/2]4 level. Similarly, the 6f [5/2]3 level couples with the 6f ' [5/2]3 level and 6f ' [5/2]2 level couples with 6f [5/2]2 level. These couplings are due to the spin-orbit interaction. Furthermore, there are no considerable discrepancies between our theoretical results and the other experimental as well as theoretical ones for the levels belonging to the nd[K]J (n = 7, 8) and 8p[K]J series. The overall agreement between our results and the experimental ones is satisfying. From our theoretical point of view, the slight discrepancies between our results and the experimental ones for the levels belonging to the nd[K]J (n = 7, 8) series might be ascribed to the LS-coupling breakup for all levels in the nd[K]J (n = 7, 8) series. This breakup due to the relatively large spinorbit interaction within the 5p5 ion core than the core with the Rydberg electron. Because of that, a strong configuration interaction arises between these levels. Hence, the position of the nd[K]J (n = 7, 8) levels is very closer to the 9s[K]J levels [1]. As a result of this closeness, the 9s[3/2]1 level mixed with the 8d [1/2]1 level and the resulting eigenvectors are given in Russel-Saunders coupling as 9
| 9s 3P1 > = 0.643 |9s 1P1 > + 0.491 |9s 3P1 > ― 0.454 |8𝑑 1P1 > + 0.129 |8𝑑 3P1 > + 0.351 |8𝑑 3D1 >
(22)
| 8d 3P1 > = 0.596 |8𝑑 1P1 > + 0.026 |8𝑑 3P1 > ― 0.559 |8𝑑 3D1 > + 0.461 |9𝑠 1P1 > + 0.346|9s 3P1 >
(23)
and in Racah coupling as |9s [3/2]1 > = 0.795 |9s 1P1 > + 0.607 |9s 3P1 >
(24)
|8d [1/2]1 > 0.771 |8𝑑 1P1 > ― 0.033 |8𝑑 3P1 > ― 0.636 |8𝑑 3D1 >
(25)
Furthermore, the 9s' [1/2]1 1P1 level display strong configuration mixing with the 9s[3/2]13P1, 8d' [3/2]11P1, 8d [1/2]13P1 and 8d [3/2]13D1 levels. These s-d mixings justify the slight discrepancies between our theoretical results and those observed experimentally. On the other hand, the inconsistencies between our theoretical results for the levels belonging to the 7d[K]J series and those reported by Coulombe and Sinzelle [29] might be due to the Breit and quantum electrodynamics (QED) corrections along with the effect of nuclear charge distribution. These relativistic effects must be included in the calculations for heavy atoms such as xenon. However, these effects are not taken into account by Coulombe and Sinzelle in their phenomenological parametrized potential study [29]. Furthermore, perturbation takes place within the nd[K]J (n = 7, 8) series. Within these series, the 3P2 level couples with 3D2 level, the 3F3 level couples with the 1F3 level, the 3D1 level couples with the 1P1 level. Moreover, the 1F3 level perturbed by the 3D3 level and the 3F2 level perturbed by the 1D2 level. Instead of that, within the 7d[K]J series, Coulombe and Sinzelle took care only of the coupling of the 3P1 level instead of 1P1 level with 3D1 level, and the coupling between the 3P2 level and 3F2 instead of 3D2 level. However, the misplaced coupling is responsible of the discrepancies between our theoretical results and those reported by Coulombe and Sinzelle. Despite of this missed place coupling, it is curious that their theoretical and experimental results are in excellent agreement with each other. For the levels belonging to the 8p[K]J autoionizing Rydberg series, it can be seen that the overall, agreement between our theoretical results and those observed experimentally by NIST [27] and 10
LeClair and Trajmar [28] is fair. From our theoretical point of view, the slight discrepancies between our results and those observed experimentally by NIST and LeClair and Trajmar might be due to the cascading effects from the levels belonging to the higher nd[K]J (n = 8,9) series [5], [31]. This cascading process contaminates the experimental results of the levels belonging to 8p[K]J series. The 9d[5/2]2, 9d[5/2]3 and 9d' [5/2]3, 9d' [3/2]2, level decay to the 8p[3/2]1, 8p[3/2]2, 8p' [3/2]2 and 8p' [1/2]1 level, respectively. Furthermore, the 8d[3/2]1 level decay to the 8p[1/2]0 level, whereas the 8d' [3/2]1 level decay to 8p' [1/2]0 level. Similarly, the 8p'[3/2]1 level is populated by transitions from the 8d' [5/2]2, 8d' [3/2]1 and 9d' [5/2]2 levels. Furthermore, a perturbation, caused by spin-orbit coupling, between levels within the 8p[K]J series takes place. Consequently, states with the same total angular momentum J are mixed. Thereby, the 3D2 level couples with the 1D2 level, the 3D1 level perturbed by the 1P1 level and the 3P0 level perturbed by the 1S0 level. Regarding the levels belonging to the 9s[K]J series, an excellent agreement could be seen between our theoretical results and those observed experimentally as reported by NIST [27]. It is worthy to mention that the energy of the 9s' [1/2]1 is reported by Yoshino and Freeman [1] as 103945. 00 cm-1 and this experimental value was not displayed at NIST site. Evidently, the agreement between our theoretical result for this level and the one measured by Yoshino and Freeman is faire. These researchers carried out extensive measurements of the levels belonging to the nd[3/2]1, nd[1/2]1, nd'[3/2]1, ns[3/2]1 and ns'[1/2]1 with uncertainty of 0.1 cm-1. However, for the levels belonging to the ns'[1/2]1 series, their observed measurements only correspond to the wavelength of maximum absorption as seen on the photographic plates. This can be accepted because in their experiment, they saw a narrow resonance with high symmetry. Therefore, one must pay special attention when making comparison with their measured data. Moreover, the entire comparison shows that the energy of the 9s' [1/2]0 level is reported here for the first time. Within this series, the 3P1 and 1P1 levels perturbed each other. 3.3 Relativistic calculation of oscillator strengths and transition rates Based on the accurate calculated values of the energy levels in hand, the dimensionless corresponding oscillator strengths 𝑓𝑖𝑓 and the transition rates 𝐴𝑓𝑖 (in s-1) for the nd[K]J (n = 7, 8), and 9s[K]J Rydberg series relative to the 5p6(1S0) ground state are calculated in the length (𝑓𝑖𝑓(𝑙), 11
𝐴𝑓𝑖(𝑙)) as well as velocity (𝑓𝑖𝑓(𝑙), 𝐴𝑓𝑖(𝑙)) forms of the electric dipole operator in Babushkin and Coulomb gauges, respectively. As far as the transitions from the ground state to the 8p, 5g and 6f levels are restricted by electric dipole selection rules, we computed all the 5p5(2P)6p-5p5(2P)8d, 5p5(2P)7p-5p5(2P)nd (n =7, 8), 5p5(2P)5d-5p5(2P)8p, 5p5(2P)ns (n = 6, 7, 8) -5p5(2P)8p, 5p5(2P)6d5p5(2P)np (n =7, 8), 5p5(2P)8d -5p5(2P)8p, 5p5(2P)nf (n = 4, 5) -5p5(2P)7d and 5p5(2P)nf (n = 4, 5) -5p5(2P)8d and 5p5(2P)nf (n = 4, 5) -5p5(2P)5g oscillator strengths and transition rates. The obtained results are listed in table 2. The statistical weight of the initial and final levels i and f , respectively are represented by gi and gf , respectively. A variable discrepancy in the oscillator strengths between the two gauges can be observed. The gauges disparity might be due to different reasons: i. The disparity is mostly ascribed to the susceptibility of the Coulomb gauge to correlation corrections [3]. Actually, many researchers thinking that the inner-core correlation only has week influence on the valence electrons. As an approximation, for all excited states, they kept the 5p5 core as inactive [32]. However, the core-correlation has drastic effect in the accurate computation of the oscillator strengths and transition rates. In our calculations, the inner-core correlation was involved in the calculations by employing extensive multiconfiguration expansions for the electron states within the 5s25p5 core, following by single and double excitation from the 5s5p orbital to n'l' corelated orbitals. The core-valence correlation effects might be saturated in the single and limited double excitation in a certain number of virtual orbitals [5]. Therefore, the values of the oscillator strengths as well as those of the transition rates calculated in Babushkin gauge, converging to the external part of the electronic wavefunction. Whereas the equivalent values calculated in Coulomb gauge converging to the inner part where the core-core effects take place. Sometimes, core-valence correlation will be sufficient to get results of acceptable quality while core-core correlations can be very expensive. A great deal of patience and time-consuming labor may be needed to obtain good results. Thus, in order to study states of a neutral heavy atom such as xenon with open s, df and g- shells, we may well need several thousand configurational state functions (CSF) per atomic state, so the achievable accuracy will depend on expensive access to very powerful parallel computers. ii. Another contribution that affect the consistency might be mainly ascribed to the conservation of charge and the total dependency of the radial matrix elements on the nuclear charge density. Transition rates and oscillator strengths between the |𝛾𝑟 , Π, 𝐽, 𝑀𝐽 > initial state and the |𝛾𝑟 , Π, 𝐽, 12
𝑀𝐽 > final state were obtained in terms of the reduced matrix elements 𝑀𝑖𝑓 as shown by equation (6). If the wave functions of these states were individually constructed in two orbital sets; the first orbital for the initial state and the other orbital for the final state, then the wave functions in each orbital constitute a basis set and orthonormal to each other whereas those in different states violate the orthonormality condition, thereby, the calculation of the reduced matrix elements becomes difficult. To avoid this difficulty, we transformed the wave functions of the initial and final states so that the wave functions in the different orbital sets satisfy the biorthonormality condition [3336]. iii. Of particular importance is also the large splitting of the 5p5 core due to strong spin-orbit interaction, which produce configuration mixing of different energy levels in the excited states as discussed in section 3.2. Furthermore, some contributions to the transition rates in the Coulomb gauge cannot be taken into account with GRASP2K codes [4]. iv. One result in particular (and there are a few more displayed in table 2), which differs by considerable orders of magnitude, between the values of the oscillator strengths that obtained in Babushkin and Coulomb gauges, can be observed in table 2. The uncertainty in the calculated values of oscillator strengths originating from the uncertainty in the radial matrix elements that used in equation (6) and from the uncertainty in the calculation of the angular expansion coefficients in addition to uncertainty arising from cancellation effects. For heavy atoms like
129Xe,
large oscillator strength values obtained for allowed transitions in
Racah coupling. The np ― ns, np ― (n ― 1)s and np ― n'd transitions in Babushkin gauge correspond to large radial matrix elements. Thereupon, the uncertainty is considerable for such transitions due to the bases restriction which in turns affected the corresponding expansion coefficients. Moreover, the n'd[K]J = 1 and n'p' [K]J = 0 wavefunctions are not accurately determined due to d-p configuration mixing. For odd isotopes, the 8p'[1/2]0 1S0 with J = 0 of atoms may have magnetic moments significantly different from the pure nuclear one. This effect arising from hyperfine coupling which mixes states of J ≠ 0 contributions into the wavefunctions that describing states of zero total angular momentum and consequently produces some electronic magnetism into these states. More than that use of 8p'[1/2]1 eliminates transitions from 5d[5/2]3 and 5d'[5/2]3.
13
To further guarantee the accuracy of these results, most probably the dipole matrix elements in Racah coupling and intermediate spin-orbit coupling has to be calculated anyhow. After all, the discrepancy between the values of the oscillator strengths in Babushkin and Coulomb gauges was also reported by Irimia and Froese Fischer [32], Froese Fischer and Rubin [37], Bieron et al. [38], and Zhou et al. [39]. Moreover, Kim in his relativistic multiconfiguration calculation, found 15% difference between the values calculated in Babushkin and Coulomb gauge [40]. Worthy of note, the semiempirical calculations carried out by Aymar et al. [41] showed that the insertion of second order corrections produced remarkable disagreement between Babushkin and Coulomb gauge. However, the inconsistency of the theoretical results obtained in the two gauges should not be handled as an error bar of itself. In contrast, it showed that the core-polarization model is inappropriate to accurately calculate the energy differences between the initial and final levels of all transitions as showed by Irimia and Froese Fischer [32]. Afterall, researcher favor the results obtained in Babushkin gauge for comparison with the experimental results. In Table 3, our theoretical results of the oscillator strengths are compared with the available experimental and theoretical data. Our results in Babushkin gauge for the transition 5p6-5p5 8d are in good agreement with the results that experimentally reported and theoretically calculated by Geiger [42], whereas our results in Coulomb gauge are in fair agreement with those experimentally measured by Chan et al. [43].Furthermore, a remarkable discrepancies can be noticed between our theoretical results and the other available data for the other levels. Although, we could see a remarkable disagreement between the experimental results reported by different researchers for the levels displayed in table 3. The experimental measurements of the absolute oscillator strengths were performed via electron-impact-based technique using Beer-Lambert law [43]. The obtained experimental results are uncertain because considerable errors may take place due to linesaturation or bandwidth effects as soon as the bandwidth is of the same order or greater than the natural linewidth [43]. Our theoretical values obtained for the transition rates of some levels are given in table 4, together with other experimental values for comparison. In sight of this comparison, a remarkable disagreement can be seen between our results and those measured by Sabbagh and Sadeghi [45]. This disparity might due to the 8d and 9d cascading levels which populate the 8p-sublevels as
14
discussed earlier. Therefore, the complete nature spectrum of 8p levels required much narrower monochromator slit widths, in order to resolve the various transitions due to cascading levels. The cascade components produce uncertainty of 50% as one could see in the 6s[3/2]2 – 8p[5/2]2 transition reported by Sabbagh and Sadeghi. It is important to note that experimental values of Sabbagh and Sadeghi correspond to absolute transition rates measurements, however, for transitions from the 8p'[3/2]1, 8p'[1/2]1 and 8p'[1/2]0 levels, it has been compulsory to measure the 8d-8p and 9d-8p relative transitions which enable us to obtain the corresponding branching ratios. This process might be useful to minimize the errors in the experimental data due to cascading effects. On the other hand, this comparison showed that the experimental data as well as the theoretical ones available in the database are scarce and good agreement for one level is insufficient to justify the accuracy of these data. Therefore, more accurate experimental as well as theoretical data are required in order to judge the accuracy of our theoretical results. In the meantime, the reliability of our theoretical results of the energy levels assures the accuracy of our results for the oscillator strengths as well as the transition rates. 3.4 Relativistic calculation of Landé 𝒈𝑱-factor and Hyperfine magnetic dipole constant Relativistic calculations of the Landé 𝑔𝐽-factor and magnetic dipole hyperfine constant 𝐴𝑀𝐷 [in MHz] in the MCDHF framework has been made. The obtained results are displayed in table 5. To further assess the reliability of our theoretical data, the current results of the Landé 𝑔𝐽-factor and magnetic dipole hyperfine constant constants 𝐴𝑀𝐷 are compared with the published data as displayed in tables 6 and 7, respectively. From table 6, it is clear that our present theoretical values for the Landé 𝑔𝐽-factor calculated in the MCDHF framework appear to be in excellent agreement with those calculated by Coulombe and Sinzelle [29], whereas our results are in good agreement with the experimental values reported Chenevier and Moskowitz [46] and Moore [47]. Moreover, table 6 displayed an important disparity between our theoretical results and the experimental ones displayed by NIST for the 7d[7/2]3, 7d[3/2]2, 7d[5/2]2, 8d[1/2]1 and 8d[3/2]1 levels and the experimental ones reported by Coulombe and Sinzelle for the 7d[1/2]1, 7d[7/2]3, 7d[3/2]2, 7d[5/2]2 levels.
15
Table 7 displayed a remarkable disparity between our results for 𝐴𝑀𝐷 and the corresponding experimental ones reported by Kono et al. [48], Jackson and Coulombe [49] and Brandi et al. [51]. In contrast, our result for the level 8p[1/2]1 is in good agreement with the experimental value reported by Geisen et al. [50]. Furthermore, our result for the 8d [3/2]1 level is in satisfactory agreement with that measured by Brandi et al. [51]. On the other hand, our results for the 7d[1/2]1 and 7d[3/2]1 level not only disagree with the theoretical results reported by Coulombe and Sinzelle [29] as well as the experimental ones measured by Jackson and Coulombe [49] but also represents a hole for the former and an electron for the later. In contrast, Jackson and Coulombe [49] reported the value 0.0 ± 30 MHz for the latest level. However, the experimental values of 7d[1/2]1,7d[3/2]2 and 7d[3/2]1 level, measured by Jackson and Coulombe are in remarkable disagreement with those calculated by Coulomb and Sinzelle [29]. Moreover, excitation energy from the ground sate to these levels was as close to the first limit of ionization as enabled by the low intensity of lines decaying from the 6f, 7f and 8f levels [52] and low cascade depopulation was observed for the 6f, 7f and 8f levels [52]. In some cases, it is was a challenge problem to separate transitions from levels of different total angular momentum J belonging to the same as well as different configuration. The magnetic dipole hyperfine constants calculated in this work for the 7d[7/2]4, 7d[7/2]3, 7d[5/2]2, 7d'[5/2]2, 7d'[5/2]3, 7d'[3/2]2 and 7d'[3/2]1 levels agrees very well with the theoretical values reported by Coulombe and Sinzelle [29], while our theoretical values calculated for the 7d[7/2]4, 7d[3/2]2 and 7d[5/2]2 levels have a fair agreement with those measured experimentally by Jackson and Coulombe [49]. 4.
Conclusion
Based on the multiconfiguration Dirac-Hartree-Fock method, the most necessary configuration states wave functions were determined in order to calculate the spectral data for the levels arising from the 5g[K]J, 6f[K]J, nd[K]J (n = 7, 8), 8p[K]J and 9s[K]J autoionizing Rydberg series of the 129Xe
I. The spectral data is composed of energy levels, Oscillator strengths, transition rates, Landé
𝑔𝐽-factor and magnetic dipole hyperfine constant. Because the straight transition from the ground state to the levels 8p, 5g and 6f levels are not allowed by electric dipole selection rules, we computed all the 5p5(2P)6p-5p5(2P)8d, 5p5(2P)7p-5p5(2P)nd (n =7, 8), 5p5(2P)5d-5p5(2P)8p, 5p5(2P)ns-5p5(2P)8p (n = 6, 7, 8) , 5p5(2P)6d-5p5(2P)np (n =7, 8), 5p5(2P)nd-5p5(2P)8p (n = 7, 8), 16
5p5(2P)nf-5p5(2P)7d (n = 4, 5) and 5p5(2P)nf-5p5(2P)5g (n = 4, 5) oscillator strengths and transition rates. The present theoretical results are compared with the earlier theoretical and also experimental data available in the database in order to stringently judge the accuracy of our results. For most of the levels, our results agree well with the earlier theoretical and experimental published data. Analysis of various experimental and theoretical data of spectral lines published to till now for xenon, shows that there is a large discrepancy existing between the experimental-experimental, experimental-theoretical and theoretical-theoretical values. Further stringent accuracy estimation for our data set presented in this work necessitates more experimental results to compare with. Despite the fact that numerous experimental measurements have been performed, their output are still remarkably sparse. It is worthy to emphasize that the current spectral data with those that we published earlier for Argon[2-3], Krypton [4] and xenon [5] can be considered as a completion of the database for the noble gas. These data offering an opportunity for future experimental measurements for noble gas, they could be very useful in guiding spectroscopists to understand how black hole, neutron star or active galaxy generates light, how quick it moves, and what elements it is constructed from, since they act like a fingerprint that can be used to identify an atom.
References: [1] K. Yoshino, D. E. Freeman, J. Opt. Soc. Am. B2, 1268 (1985). 17
[2] W. Salah, O. Hassouneh, Eur. Phys. J. Plus, 132: 160 (2017) [3] O. Hassouneh, W. Salah, Eur. Phys. J. Plus, 132: 312 (2017) [4] W. Salah, O. Hassouneh, J. Phys. Commun. 2, 035014 (2018) [5] W. Salah, O. Hassouneh, Results in Physics, 12, 153 (2019) [6] G. Racah, Phys. Rev. 62, 438 (1942) [7] U.J. Sofia et. al., Astrophys. J. 522, L137 (1999) [8] P. Jönsson et al., Atoms, 5, 16 (2017) [9] J. Reyna Almandos et al., Phys. Scr. T134, 014018 (2009) [10] S. Eser, L. Ozdemir, , Acta Phys. Pol. A132, 1284 (2017) [11] R. Kau et al., Z. Phys. D36, 23 (1996) [12] P. Jönsson et al., Comput. Phys. Commun. 184, 2197 (2013) [13] I. P. Grant, Relativistic Quantum Theory of Atoms and Molecules: Theory and Computation, New York: Springer, (2007). [14] R.D. Cowan, The theory of atomic structure and spectra (University of California Press, Berkeley, 1981) [15] I. P. Grant, J. Phys. B7, 1458 (1974). [16] C. Froese Fischer et al., J. Phys. B 49, 182004 (2016). [17] I. Lindgren, A. Rosen, Case stud. At. Phys. 4, 93 (1975). [18] J. P. Desclaux, Comput. Phys. Commun. 9, 31 (1975). [19] M. J. Levine, J. Wright, Phys. Rev. Lett. 26, 1351 (1971) [20] C. Froese Fischer et al., Computational Atomic Structure. An MCDHF approach, (Bristol, Philadelphia, Institute of Physics publishing, 1997). [21] C. Froese Fischer, Comput. Phys. Commun. 1, 151 (1969). [22] E. R. Davidson, J. Comput. Phys. 17, 87 (1975). [23] R. D. Rundel et al., J. Opt Soc. Am. 65, 628 (1975). [24] R. F. Stebbings et. al., Phys. Rev. A12, 1453 (1975). [25] R. M. Sternheimer, Phys. Rev. 146, 140 (1966). [26] R. M. Sternheimer, Phys. Rev. 164, 10 (1967). [27] A. Kramida, Yu. Ralchenko, J. Reader and NIST team (2015). NIST Atomic Spectra Database (vers. 5.3), [online]. Available: http://physics.nist.gov/asd [2017, June 30]. National Institute of Standards and Technology, Gaithersburg, MD. 18
[28] L. R. LeClair, S. Trajmar, J. Phys. B: Atom. Mol. Opt. Phys. 29, 5527 (1996) [29] M. Coulombe, J. Sinzelle, J. Physique 36, 773 (1975). [30] L- G. Wang, R. D. Knight, Phys. Rev. A34, 3902 (1986). [31] M. B. Das, S. Karmakar, Eur. Phys. J. D32, 285 (2005). [32] A. Irimia, C. Froese Fischer, J. Phys. B: Atom. Mol. Opt. Phy. 37, 1659 (2004). [33] J. Olsen et al., Phys. Rev. E. 52, 4499 (1995). [34] P. Jönsson, C. Froese Fischer, Phs. Rev. A57, 4967 (1998). [35] S. Gustafsson et al., A&A., A76, 597 (2017). [36] J. Bieron et al., Eur. Phys. J. special topics 144, 75 (2007). [37] C. Froese Fischer , R. H. Rubin, J. Phys. B:Atom. Mol. Opt. Phys. 31, 1657 (1998). [38] J. Bieron et al., Phys. Rev. A 80, 012513 (2009). [39] F. Zhou et al., Phys. Rev. A 92 052505 (2015). [40] Y.- K. Kim, Phys. Scr. T47, 54 (1993). [41] M. Aymar et al.,Nucl. Instrum. Methods 90, 137 (1970). [42] J. Geiger, Z. Phys. A 282, 129 (1977). [43] W. Chan et al., Phys. Rev. 46, 149 (1992). [44] A. Delage and J.D. Carette, Phys. Rev. A 14,1345 (1976). [45] J. Sabbagh, N. Sadeghi, J. Quant. Spectrosc. Radiat. Transfer.17, 297 (1977). [46] M. Chenevier, P. A. Moskowitz, J. Physique, 35, 401 (1974). [47] C. E. Moore, Atomic energy levels NBS circular Vol. 3 (Washington, DC:US Govt Printing Office) (1952, 1958). [48] M. Kono et al., J. Phys. B:Atom. Mol. Opt. Phys. 46, 035401 (2013). [49] D. A. Jackson, M. C. Coulombe, Proc. R. Soc.335, 127 (1973). [50] H. Geisen et al., Phys. Lett. A130, 299 (1988). [51] F. Brandi et al., Phys. Rev. A64, 032505 (2001). [52] D. Verdugo et al., Physica 141C, 329 (1986). [53] C. C. Davis, T. A. King, J. Quant. Spectrosc. Radiat. Transfer 13, 825 (1973). [54] J. A. Cabrera et al., Physica 104C, 416 (1981).
19
Table 1: Energy data(cm ―1) for 129Xe I relative to the ground state 5p6 1S0 . Configuration /
Experimental energy 20
Computed energy
Terms
[27]
[28]
[29]
[30]
[29]
This work
5g 5g[5/2]2
3F
2
93421.53
93425.98
5g[5/2]3
3F
3
93421.53
93425.99
5g[11/2]5
1H
5
93427.38
93433.69
5g[11/2]6
3H
6
93427.38
93433.68
5g[7/2]3
1F † 3
93439.76
93447.94
5g[7/2]4
3F † 4
93439.76
93447.94
5g[9/2]4
1G
4
93446.13
93455.66
5g[9/2]5
1G
5
93446.13
93455.66
5g'[9/2]4
3H
4
104063.11
5g'[9/2]5
3H
5
104063.11
5g'[7/2]3
3G † 3
104063.13
5g'[7/2]4
3G † 4
104063.13
† 1F3 couples with 3G3, 3F4 couples with 3G4.
6f 6f[3/2]1
3D
6f[3/2]2
3D
1
94734.882
94753.54
2
94737.121
94755.37
6f[5/2]2
1D † 2
94759.935
94783.07
6f[5/2]3
3D † 3
94758.116
94781.44
6f[7/2]3
1F
94769.465
94794.72
6f[7/2]4
3F
4
94769.524
94794.75
6f[9/2]4
1G
4
94744.718
94767.40
6f[9/2]5
3G
5
94744.198
94766.47
3
6f ' [5/2]2 3F2† 105288.2
105399.31
6f ' [5/2]3 3F3† 105288.2
105397.71
6f ' [7/2]3
3G
3
105288.2
105397.85
6f ' [7/2]4
3G
4
105288.2
105398.06
† 3D3 couples with 3F3 and 3F2 couples with 1D2.
21
7d 7d[1/2]0
3P
0
92259.931
92260.43
92248.88
92537.45
7d[1/2]1
3P
1
92128.287
92128.79
92172.84
92685.53
7d[7/2]4
3F
4
92444.927
92445.43
92422.20
92748.29
7d7/2]3
3F † 3
92646.125
2646.62
92642.36
92883.45
7d[3/2]2
3P † 2
92721.53
92722.03
92734.50
92822.45
7d[3/2]1
3D † 1
92714.038
92714.54
92703.44
93800.06
7d[5/2]2
3F
2
92678.516
92679.01
92676.85
93034.64
7d[5/2]3
1F † 3
92733.597
92734.09
92743.0
93084.59
7d'[5/2]2 1D2†
103013.1
103215.98
103442.30
7d'[5/2]3 3D3†
103117.9
103280.81
103530.15
7d'[3/2]2 3D2†
103061.5
103199.57
103449.13
103409.5
104009.83
7d'[3/2]1
1P † 1
103419
103343.8
103419
† 3P2 couples with 3D2, 3F3 couples with 1F3, 1F3 perturbed by 3D3, 3D1 couples with 1p1 and 3F2 perturbed by 1D2.
8p 8p[1/2]1
3S
8p[5/2]3
3D
92153.279
91899.30
3
92264.950
91967.84
8p[5/2]2
3D † 2
92221.362
91952.73
8p[3/2]1
3D † 1
92333.066
92012.80
8p[3/2]2
3P
2
92370.923
92029.77
8p[1/2]0
3P † 0
92555.135
92110.98
8p'[3/2]1
1P † 1
102722.7
102564.31
8p'[3/2]2 1D2†
102827.6
102609.86
1
8p'[1/2]1
3P
1
102819.5
102599.91
8p'[1/2]0
1S † 0
102900.2
102659.21
† 3D2 couples with 1D2, 3D1 perturbed by 1P1 and 3P0 perturbed by 1S0.
9s 9s[3/2]2
3P
2
93398.253
93275.90
9s[3/2]1
3P † 1
93422.108
93293.66
9s'[1/2]0
3P
0
103927.0
103894.23
9s' [1/2]1
1P † 1
103943.6
103902.26
22
† 3P1 perturbed by 1P1.
8d 8d[1/2]0
3P
0
94124.342
94265.48
8d[1/2]1
3P
1
94228.004
94333.63
8d[7/2]4
3F
4
94226.320
94381.54
8d7/2]3
3F † 3
94290.225
94456.44
8d[3/2]2
3P † 2
94285.651
94423.78
7d[3/2]1
3D † 1
94685.467
94974.57
8d[5/2]2
3F
2
94339.433
94538.07
8d[5/2]3
1F † 3
94369.995
94566.41
8d'[5/2]2 1D2†
104779.4
104775.3
105041.25
8d'[5/2]3 3D3†
104835.9
104825.7
105091.09
8d'[3/2]2 3D2†
104795.6
104796.0
105044.43
1P † 1
104956.9
8d'[3/2]1
105350.14
† 3P2 couples with 3D2, 3F3 couples with 1F3, 1F3 perturbed by 3D3, 3D1 couples with 1p1 and 3F2 perturbed by 1D2.
23
Table 2: The oscillator strengths 𝑓𝑖𝑓 and the radiative transition rates 𝐴𝑓𝑖 (in s−1) for 129Xe I, as obtained in the length 𝑓𝑖𝑓(𝑙) , 𝐴𝑓𝑖(𝑙) and velocity 𝑓𝑖𝑓(𝑣) and 𝐴𝑓𝑖(𝑣) forms of the electric dipole transitions in Babushkin and Coulomb gauges, respectively. Multiplet/Terms 5p6 - 5p57d 1S - 3P 0 1 1S - 3D 0 1 1S - 1P 0 1 6 5p - 5p58d 1S - 3P 0 1 1S - 3D 0 1 1S - 1P 0 1 6 5p - 5p59s 1S - 3P 0 1 1S - 1P 0 1 5p56p - 5p57d 3P - 3P 2 1 3P - 3D 2 1 3P - 1P 2 1 1S - 3P 0 1 1S - 3D 0 1 1S - 1P 0 1 3S - 3P 1 0 3D - 3P 1 0 1P - 3P 1 0 3P - 3P 1 0 3S - 3P 1 1 3S - 3D 1 1 3S - 1P 1 1 3D - 3P 1 1 3D - 3D 1 1 3D - 1P 1 1 1P - 3P 1 1 1P - 3D 1 1 1P - 1P 1 1 3P - 3P 1 1 3P - 3D 1 1
gi
gf
E(cm−1)
1 1 1
3 3 3
1 1 1
𝑓𝑖𝑓(𝑙)
𝑓𝑖𝑓(𝑣)
92658.53 93800.06 104009.83
3.280E-03 2.049E-01 1.257E-01
2.648E-03 1.610E-01 9.780E-02
6.262E+06 5.054E+06 4.007E+08 3.151E+08 3.023E+08 2.352E+08
3 3 3
94333.63 94974.57 105350.14
1.757E-03 1.138E-01 6.345E-02
1.429E-03 9.038E-02 4.982E-02
3.476E+06 2.828E+06 2.283E+08 1.813E+08 1.566E+08 1.229E+08
1 1
3 3
93441.61 104050.2
3.866E-03 1.657E-03
3.500E-03 1.511E-03
7.505E+06 6.795E+06 3.988E+06 3.638E+06
5 5 5 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3
13391.82 14533.34 24743.11 3887.51 5029.03 15238.8 15175.49 13158.34 4423.62 2518.78 15296.57 16438.09 26647.86 13279.42 14420.95 24630.72 4544.7 5686.23 15896 2639.86 3781.39
2.843E-03 1.544E-01 1.571E-03 2.037E-05 2.428E-04 8.943E-02 5.599E-02 4.601E-03 5.080E-06 2.554E-05 1.222E-01 5.897E-03 6.628E-05 2.122E-02 9.651E-02 1.237E-04 2.144E-06 1.122E-07 4.656E-02 3.570E-05 1.228E-05
1.023E-03 4.737E-02 1.930E-04 1.333E-04 8.485E-04 4.133E-02 2.456E-02 1.097E-03 1.597E-05 3.687E-04 5.194E-02 3.452E-03 7.296E-06 5.851E-03 3.212E-02 7.673E-06 1.013E-06 1.013E-05 1.978E-02 5.025E-04 8.542E-05
1.133E+05 7.249E+06 2.139E+05 6.846E+01 1.365E+03 4.617E+06 8.601E+06 5.314E+05 6.631E+01 1.081E+02 6.356E+06 3.543E+05 1.047E+04 8.318E+05 4.463E+06 1.668E+04 9.848E+00 8.063E-01 2.616E+06 5.532E+01 3.903E+01
24
𝐴𝑓𝑖(𝑙)
𝐴𝑓𝑖(𝑣)
4.079E+04 2.225E+06 2.627E+04 4.478E+02 4.771E+03 2.134E+06 3.773E+06 1.267E+05 2.084E+02 1.560E+03 2.702E+06 2.074E+05 1.152E+03 2.294E+05 1.485E+06 1.035E+03 4.651E+00 7.285E+01 1.112E+06 7.787E+02 2.716E+02
3P
- 1P1 3S - 3P 1 2 3S - 3F 1 2 3S - 1D 1 2 3S - 3D 1 2 3D - 3P 1 2 3D - 3F 1 2 3D - 1D 1 2 3D - 3D 1 2 1P - 3P 1 2 1P - 3F 1 2 1P - 1D 1 2 1P - 3D 1 2 3P - 3P 1 2 3P - 3F 1 2 3P - 1D 1 2 3P - 3D 1 2 3D - 3P 2 1 3D - 3D 2 1 3D - 1P 2 1 3P - 3P 0 1 3P - 3D 0 1 3P - 1P 0 1 1D - 3P 2 1 1D - 3D 2 1 1D - 1P 2 1 3D - 3P 2 2 3D - 3F 2 2 3D - 1D 2 2 3D - 3D 2 2 3P - 3P 0 2 3P - 3F 0 2 3P - 1D 0 2 3P - 3D 0 2 1D - 3P 2 2 1D - 3F 2 2 1D - 1D 2 2 1D - 3D 2 2 1
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 1 1 1 5 5 5 5 5 5 5 1 1 1 1 1 5 5 5
3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 5 5 5 5 5 7 5 5 5 5 5 5
13991.16 15460.48 15672.68 26080.33 26087.17 13443.34 13655.53 24063.19 24070.03 4708.62 4920.81 15328.47 15335.31 2803.78 3015.97 13423.63 13430.47 15098.94 16240.47 26450.24 12999.55 14141.07 24350.84 2648.37 3789.9 13999.67 15262.85 15475.05 25882.71 25889.54 13163.46 13375.65 23783.31 23790.15 2812.29 3024.48 13432.14 13438.97
3.863E-02 5.818E-02 4.441E-02 1.120E-05 9.409E-04 1.430E-01 1.708E-01 4.361E-05 7.120E-05 5.442E-05 1.572E-05 2.228E-01 4.487E-03 1.767E-06 2.720E-06 3.081E-02 3.706E-01 1.368E-02 5.202E-03 6.202E-09 3.787E-02 8.717E-04 1.064E-04 7.428E-06 5.288E-06 7.596E-03 9.227E-03 9.563E-02 7.196E-06 4.829E-05 1.866E-01 5.992E-04 2.300E-05 4.104E-04 4.234E-05 2.933E-09 4.963E-02 6.012E-02 25
1.285E-02 2.104E-02 2.332E-02 2.697E-08 8.285E-05 4.894E-02 6.543E-02 1.646E-05 1.045E-05 1.407E-04 2.338E-05 1.015E-01 2.098E-03 3.165E-05 1.333E-07 1.101E-02 1.333E-01 6.840E-03 2.075E-03 3.493E-11 1.498E-02 2.538E-04 1.162E-05 7.778E-05 2.179E-05 2.517E-03 5.011E-03 4.282E-02 1.776E-06 6.761E-06 7.077E-02 3.550E-04 2.502E-06 4.755E-05 3.665E-04 1.631E-06 1.787E-02 2.159E-02
1.681E+06 1.855E+06 1.455E+06 1.016E+03 8.542E+04 3.447E+06 4.248E+06 3.369E+03 5.503E+03 1.610E+02 5.077E+01 6.984E+06 1.408E+05 1.853E+00 3.301E+00 7.406E+05 8.918E+06 6.936E+05 3.051E+05 9.648E-01 1.423E+06 3.876E+04 1.403E+04 1.158E+01 1.689E+01 3.310E+05 2.868E+05 3.055E+06 6.431E+02 4.318E+03 4.313E+06 1.430E+04 1.736E+03 3.099E+04 4.467E+01 3.579E-03 1.194E+06 1.449E+06
5.595E+05 6.709E+05 7.642E+05 2.447E+00 7.521E+03 1.180E+06 1.628E+06 1.272E+03 8.075E+02 4.163E+02 7.552E+01 3.183E+06 6.582E+04 3.319E+01 1.617E-01 2.647E+05 3.208E+06 3.467E+05 1.217E+05 5.433E-03 5.628E+05 1.128E+04 1.533E+03 1.213E+02 6.959E+01 1.097E+05 1.557E+05 1.368E+06 1.587E+02 6.046E+02 1.636E+06 8.474E+03 1.888E+02 3.590E+03 3.867E+02 1.990E+00 4.300E+05 5.202E+05
3D
- 3F3 3D - 1F 2 3 3D - 3D 2 3 3P - 3F 0 3 3P - 1F 0 3 3P - 3D 0 3 1D - 3F 2 3 1D - 1F 2 3 1D - 3D 2 3 3D - 3P 3 2 3D - 3F 3 2 3D - 1D 3 2 3D - 3D 3 2 3D - 3F 3 3 3D - 1F 3 3 3D - 3D 3 3 3D - 3F 3 4 5 5p 7p - 5p57d 3P - 3P 0 1 3P - 3D 0 1 3P - 1P 0 1 1S - 3P 0 1 1S - 3D 0 1 1S - 1P 0 1 3S - 3P 1 0 3D - 3P 1 0 1P - 3P 1 0 3P - 3P 1 0 3S - 3P 1 1 3S - 3D 1 1 3S - 1P 1 1 3D - 3P 1 1 3D - 3D 1 1 3D - 1P 1 1 1P - 3P 1 1 1P - 3D 1 1 1P - 1P 1 1 3P - 3P 1 1 2
5 5 5 1 1 1 5 5 5 7 7 7 7 7 7 7 7
7 7 7 7 7 7 7 7 7 5 5 5 5 7 7 7 9
15323.86 15525 25970.56 13224.46 13425.6 23871.16 2873.29 3074.43 13519.99 13540.26 13752.45 24160.11 24166.95 13601.26 13802.4 24247.96 13466.1
3.237E-01 9.656E-03 8.425E-07 2.958E-03 4.953E-01 1.421E-04 9.189E-06 7.380E-06 6.187E-01 2.060E-02 9.064E-03 2.486E-06 2.672E-05 9.626E-02 1.130E-01 6.459E-05 7.926E-01
1.468E-01 3.173E-03 3.496E-07 6.643E-04 1.778E-01 1.558E-05 4.069E-05 4.878E-05 2.195E-01 7.292E-03 3.114E-03 2.768E-07 2.969E-06 3.378E-02 3.846E-02 7.130E-06 2.834E-01
7.243E+06 2.218E+05 5.415E+01 4.929E+04 8.507E+06 7.713E+03 7.229E+00 6.647E+00 1.078E+07 5.039E+05 2.287E+05 1.936E+02 2.082E+03 1.697E+06 2.051E+06 3.619E+03 1.065E+07
3.285E+06 7.288E+04 2.247E+01 1.107E+04 3.054E+06 8.458E+02 3.201E+01 4.394E+01 3.823E+06 1.783E+05 7.856E+04 2.155E+01 2.313E+02 5.955E+05 6.982E+05 3.995E+02 3.809E+06
1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 1 1 1 1 3 3 3 3 3 3 3 3 3 3
3941.16 5082.68 15292.45 6401.68 5260.15 4949.61 4660.8 4173.63 6146.54 6290.28 4781.88 5923.41 16133.18 4294.71 5436.23 15646 6025.46 4883.94 5325.83 6169.2
2.590E-03 1.686E-01 8.992E-04 7.579E-05 1.505E-04 1.233E-01 7.054E-02 3.104E-03 3.649E-06 9.171E-05 1.722E-01 3.564E-03 6.459E-05 1.716E-03 1.246E-01 5.893E-04 9.078E-06 6.933E-05 6.380E-02 7.922E-05
2.273E-03 8.976E-02 5.178E-05 2.716E-05 8.179E-05 7.331E-02 4.653E-02 2.829E-03 1.323E-06 3.319E-05 1.074E-01 1.198E-03 3.259E-06 1.686E-03 5.907E-02 3.271E-05 3.922E-06 4.370E-05 3.280E-02 3.029E-05
8.946E+03 9.687E+05 4.676E+04 2.072E+03 2.777E+03 6.716E+05 1.022E+06 3.607E+04 3.065E+01 8.068E+02 8.753E+05 2.781E+04 3.738E+03 7.039E+03 8.186E+05 3.207E+04 7.328E+01 3.677E+02 4.024E+05 6.704E+02
7.849E+03 5.156E+05 2.693E+03 7.424E+02 1.510E+03 3.993E+05 6.742E+05 3.287E+04 1.112E+01 2.920E+02 5.463E+05 9.344E+03 1.886E+02 6.915E+03 3.881E+05 1.781E+03 3.166E+01 2.318E+02 2.069E+05 2.563E+02
26
3P
- 3D1 3P - 1P 1 1 3S - 3P 1 2 3S - 3F 1 2 3S - 1D 1 2 3S - 3D 1 2 3D - 3P 1 2 3D - 3F 1 2 3D - 1D 1 2 3D - 3D 1 2 1P - 3P 1 2 1P - 3F 1 2 1P - 1D 1 2 1P - 3D 1 2 3P - 3P 1 2 3P - 3F 1 2 3P - 1D 1 2 3P - 3D 1 2 3D - 3P 2 1 3D - 3D 2 1 3D - 1P 2 1 3P - 3P 2 1 3P - 3D 2 1 3P - 1P 2 1 1D - 3P 2 1 1D - 3D 2 1 1D - 1P 2 1 3D - 3P 2 2 3D - 3F 2 2 3D - 1D 2 2 3D - 3D 2 2 3P - 3P 2 2 3P - 3F 2 2 3P - 1D 2 2 3P - 3D 2 2 1D - 3P 2 2 1D - 3F 2 2 1D - 1D 2 2 1
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5
5027.67 5182.1 4945.8 5157.99 15565.65 15572.48 4458.62 4670.81 15078.47 15085.31 5861.55 5649.35 4758.3 4765.14 6005.28 5793.09 4614.57 4621.4 4546.46 5687.98 15897.75 4230.27 5371.8 15581.57 6200.51 5058.98 5150.78 4710.37 4922.57 15330.22 15337.06 4394.19 4606.38 15014.04 15020.88 6036.6 5824.4 4583.25
8.570E-05 4.674E-02 1.682E-01 1.199E-03 1.599E-06 3.244E-04 5.355E-02 2.542E-01 6.589E-06 6.397E-05 1.906E-05 5.199E-06 2.947E-01 4.403E-03 1.892E-05 7.845E-06 2.964E-02 3.983E-01 1.156E-02 8.167E-03 3.600E-06 4.522E-02 3.999E-04 1.692E-04 2.824E-05 1.982E-05 8.766E-03 3.268E-03 1.234E-01 3.478E-05 4.341E-05 2.048E-01 5.365E-03 5.328E-06 6.530E-04 1.536E-04 3.953E-08 5.311E-02 27
4.817E-05 2.405E-02 9.610E-02 9.444E-04 3.617E-08 1.811E-05 3.609E-02 1.646E-01 3.485E-07 3.668E-06 7.272E-06 2.728E-06 1.896E-01 2.861E-03 6.835E-06 2.633E-06 1.909E-02 2.563E-01 8.311E-03 3.656E-03 1.985E-07 3.511E-02 1.782E-04 9.576E-06 1.029E-05 1.059E-05 4.559E-03 2.347E-03 7.418E-02 2.209E-06 2.713E-06 1.464E-01 3.711E-03 3.096E-07 3.994E-05 5.836E-05 4.604E-09 3.491E-02
4.816E+02 2.791E+05 5.490E+05 4.257E+03 5.167E+01 1.049E+04 1.420E+05 7.399E+05 1.999E+02 1.942E+03 1.456E+02 3.689E+01 8.902E+05 1.334E+04 1.517E+02 5.854E+01 8.419E+04 1.135E+06 5.311E+04 5.875E+04 2.023E+02 1.799E+05 2.566E+03 9.135E+03 1.449E+02 6.766E+01 5.171E+04 9.672E+03 3.990E+05 1.091E+03 1.362E+03 5.275E+05 1.519E+04 1.602E+02 1.965E+04 7.465E+02 1.789E-01 1.488E+05
2.707E+02 1.436E+05 3.136E+05 3.352E+03 1.169E+00 5.859E+02 9.570E+04 4.789E+05 1.057E+01 1.113E+02 5.556E+01 1.936E+01 5.726E+05 8.668E+03 5.480E+01 1.964E+01 5.422E+04 7.302E+05 3.820E+04 2.630E+04 1.115E+01 1.397E+05 1.143E+03 5.169E+02 5.279E+01 3.615E+01 2.689E+04 6.947E+03 2.398E+05 6.926E+01 8.514E+01 3.771E+05 1.050E+04 9.309E+00 1.202E+03 2.837E+02 2.083E-02 9.782E+04
1D
- 3D2 3D - 3F 2 3 3D - 1F 2 3 3D - 3D 2 3 3P - 3F 2 3 3P - 1F 2 3 3P - 3D 2 3 1D - 3F 2 3 1D - 1F 2 3 1D - 3D 2 3 3D - 3P 3 2 3D - 3F 3 2 3D - 1D 3 2 3D - 3D 3 2 3D - 3F 3 3 3D - 1F 3 3 3D - 3D 3 3 3D - 3F 3 4 5 5p 8p - 5p57d 3P - 3P 0 1 3P - 3D 0 1 3P - 1P 0 1 1S - 3P 0 1 1S - 3D 0 1 1S - 1P 0 1 3S - 3P 1 0 3D - 3P 1 0 1P - 3P 1 0 3P - 3P 1 0 3S - 3P 1 1 3S - 3D 1 1 3S - 1P 1 1 3D - 3P 1 1 3D - 3D 1 1 3D - 1P 1 1 1P - 3P 1 1 1P - 3D 1 1 1P - 1P 1 1 2
5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7
5 7 7 7 7 7 7 7 7 7 5 5 5 5 7 7 7 9
4590.09 4771.37 4972.51 15418.08 4455.19 4656.33 15101.89 5975.59 5774.45 4671.11 4653.9 4866.09 15273.75 15280.59 4714.9 4916.04 15361.6 4579.75
6.395E-02 4.247E-01 3.918E-02 1.475E-05 9.149E-04 5.066E-01 1.178E-05 5.331E-05 1.231E-07 6.644E-01 2.208E-02 1.008E-02 4.945E-06 5.268E-05 1.045E-01 1.250E-01 1.278E-04 8.376E-01
4.174E-02 2.713E-01 2.205E-02 1.067E-06 7.888E-04 3.209E-01 6.739E-07 1.952E-05 5.405E-08 4.184E-01 1.403E-02 5.881E-03 2.932E-07 3.105E-06 6.481E-02 7.107E-02 7.463E-06 5.487E-01
1.798E+05 9.214E+05 9.232E+04 3.341E+02 1.730E+03 1.047E+06 2.560E+02 2.540E+02 5.474E-01 1.381E+06 6.379E+04 3.183E+04 1.539E+02 1.641E+03 2.213E+05 2.879E+05 2.874E+03 1.302E+06
1.173E+05 5.886E+05 5.195E+04 2.418E+01 1.492E+03 6.630E+05 1.465E+01 9.297E+01 2.404E-01 8.699E+05 4.054E+04 1.858E+04 9.123E+00 9.673E+01 1.373E+05 1.637E+05 1.678E+02 8.530E+05
1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 1 1 1 1 3 3 3 3 3 3 3 3 3
547.55 1689.08 11898.85 10000.68 8859.15 1350.62 638.16 524.65 10026.86 10062.46 759.23 1900.76 12110.53 645.73 1787.26 11997.03 9905.78 8764.26 1445.51
2.726E-03 4.105E-01 7.637E-03 1.641E-03 6.041E-03 3.887E-01 9.892E-02 7.347E-03 2.948E-06 8.574E-05 2.727E-01 5.861E-04 2.012E-03 8.620E-03 3.554E-01 4.640E-03 6.749E-04 3.079E-03 2.065E-01
1.666E-02 2.642E-01 9.964E-05 2.831E-05 1.323E-04 3.682E-01 4.264E-01 4.319E-02 5.400E-08 1.488E-06 8.328E-01 5.460E-04 2.539E-05 3.155E-02 1.997E-01 5.928E-05 1.179E-05 6.895E-05 1.708E-01
1.817E+02 2.604E+05 2.404E+05 1.095E+05 3.163E+05 1.576E+05 2.687E+04 1.349E+03 6.590E+01 1.930E+03 3.494E+04 4.708E+02 6.561E+04 7.991E+02 2.524E+05 1.485E+05 1.472E+04 5.258E+04 9.596E+04
1.111E+03 1.676E+05 3.137E+03 1.889E+03 6.925E+03 1.493E+05 1.158E+05 7.930E+03 1.207E+00 3.350E+01 1.067E+05 4.386E+02 8.279E+02 2.925E+03 1.418E+05 1.897E+03 2.572E+02 1.178E+03 7.934E+04
28
3P
- 3P1 3P - 3D 1 1 3P - 1P 1 1 3S - 3P 1 2 3S - 3F 1 2 3S - 1D 1 2 3S - 3D 1 2 3D - 3P 1 2 3D - 3F 1 2 3D - 1D 1 2 3D - 3D 1 2 1P - 3P 1 2 1P - 3F 1 2 1P - 1D 1 2 1P - 3D 1 2 3P - 3P 1 2 3P - 3F 1 2 3P - 1D 1 2 3P - 3D 1 2 3D - 3P 2 1 3D - 3D 2 1 3D - 1P 2 1 3P - 3P 2 1 3P - 3D 2 1 3P - 1P 2 1 1D - 3P 2 1 1D - 3D 2 1 1D - 1P 2 1 3D - 3P 2 2 3D - 3F 2 2 3D - 1D 2 2 3D - 3D 2 2 3P - 3P 2 2 3P - 3F 2 2 3P - 1D 2 2 3P - 3D 2 2 1D - 3P 2 2 1D - 3F 2 2 1
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5
9941.38 8799.85 1409.92 923.15 1135.34 11543 11549.84 809.65 1021.84 11429.5 11436.34 9741.87 9529.67 877.98 884.82 9777.46 9565.27 842.39 849.22 705.8 1847.32 12057.09 628.76 1770.28 11980.05 9951.33 8809.8 1399.97 869.71 1081.91 11489.56 11496.4 792.67 1004.87 11412.52 11419.36 9787.41 9575.22
2.760E-05 1.485E-03 8.827E-02 2.621E-01 2.195E-02 2.414E-05 7.282E-04 6.117E-02 5.023E-01 7.974E-04 4.182E-04 5.841E-05 1.058E-03 6.212E-01 1.321E-02 2.678E-03 9.770E-05 4.357E-02 5.360E-01 2.544E-02 2.948E-02 4.081E-05 5.127E-02 8.084E-04 8.274E-04 1.240E-04 2.847E-04 1.723E-02 1.462E-02 3.166E-01 5.958E-04 2.309E-04 2.781E-01 1.093E-02 5.824E-07 3.009E-03 9.857E-04 7.435E-05 29
5.707E-07 3.498E-05 8.158E-02 5.531E-01 2.576E-02 2.325E-07 9.650E-06 1.770E-01 8.575E-01 1.101E-05 6.144E-06 1.009E-06 1.995E-05 1.393E+00 2.910E-02 5.169E-05 2.080E-06 1.129E-01 1.365E+00 8.691E-02 1.499E-02 5.077E-07 2.360E-01 5.024E-04 1.059E-05 2.281E-06 6.759E-06 1.616E-02 3.175E-02 4.673E-01 7.772E-06 2.929E-06 8.090E-01 1.874E-02 5.403E-09 4.218E-05 1.884E-05 1.529E-06
6.064E+02 2.556E+04 3.902E+04 2.980E+04 3.775E+03 4.290E+02 1.296E+04 5.349E+03 6.997E+04 1.390E+04 7.296E+03 1.233E+03 2.137E+04 6.388E+04 1.380E+03 5.693E+04 1.987E+03 4.125E+03 5.157E+04 2.818E+03 2.237E+04 1.319E+03 4.507E+03 5.633E+02 2.640E+04 1.638E+03 2.947E+03 7.509E+03 1.476E+03 4.944E+04 1.049E+04 4.072E+03 2.331E+04 1.472E+03 1.012E+01 5.234E+04 1.260E+04 9.094E+02
1.254E+01 6.022E+02 3.606E+04 6.288E+04 4.430E+03 4.133E+00 1.717E+02 1.548E+04 1.194E+05 1.918E+02 1.072E+02 2.129E+01 4.028E+02 1.432E+05 3.039E+03 1.099E+03 4.232E+01 1.069E+04 1.313E+05 9.626E+03 1.137E+04 1.641E+01 2.075E+04 3.500E+02 3.380E+02 3.013E+01 6.998E+01 7.041E+03 3.204E+03 7.298E+04 1.369E+02 5.164E+01 6.781E+04 2.525E+03 9.387E-02 7.337E+02 2.408E+02 1.870E+01
1D
- 1D2 1D - 3D 2 2 3D - 3F 2 3 3D - 1F 2 3 3D - 3D 2 3 3P - 3F 2 3 3P - 1F 2 3 3P - 3D 2 3 1D - 3F 2 3 1D - 1F 2 3 1D - 3D 2 3 3D - 3P 3 2 3D - 3F 3 2 3D - 1D 3 2 3D - 3D 3 2 3D - 3F 3 3 3D - 1F 3 3 3D - 3D 3 3 3D - 3F 3 4 5p57s - 5p58p 3P - 3P 1 0 1P - 3P 1 0 3P - 1S 1 0 1P - 1S 1 0 3P - 3S 0 1 3P - 3D 0 1 3P - 1P 0 1 3P - 3P 0 1 3P - 3S 1 1 1P - 3S 1 1 3P - 3D 1 1 1P - 3D 1 1 3P - 1P 1 1 1P - 1P 1 1 3P - 3P 1 1 1P - 3P 1 1 3P - 3S 2 1 3P - 3D 2 1 2
5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7
5 5 7 7 7 7 7 7 7 7 7 5 5 5 5 7 7 7 9
832.44 839.28 930.71 1131.85 11577.41 853.67 1054.81 11500.37 9726.41 9525.27 920.29 854.6 1066.8 11474.45 11481.29 915.6 1116.74 11562.3 780.45
6.954E-02 8.576E-02 9.474E-01 6.385E-02 1.379E-03 3.534E-03 8.462E-01 1.689E-04 1.456E-03 1.704E-04 9.616E-01 2.959E-02 1.586E-02 2.659E-05 2.888E-04 1.468E-01 2.088E-01 6.992E-04 1.049E+00
1.845E-01 2.236E-01 1.893E+00 9.007E-02 1.753E-05 7.385E-03 1.398E+00 2.251E-06 2.856E-05 3.441E-06 2.085E+00 7.442E-02 2.562E-02 3.714E-07 4.024E-06 3.217E-01 3.075E-01 9.610E-06 3.161E+00
6.428E+03 8.058E+03 7.820E+04 7.794E+03 1.761E+04 2.454E+02 8.971E+04 2.129E+03 1.838E+04 2.062E+03 7.761E+04 2.883E+03 2.408E+03 4.671E+02 5.078E+03 1.172E+04 2.482E+04 8.907E+03 4.734E+04
1.705E+04 2.101E+04 1.562E+05 1.099E+04 2.239E+02 5.128E+02 1.482E+05 2.837E+01 3.605E+02 4.166E+01 1.683E+05 7.251E+03 3.890E+03 6.524E+00 7.077E+01 2.570E+04 3.654E+04 1.224E+02 1.427E+05
3 3 3 3 1 1 1 1 3 3 3 3 3 3 3 3 5 5
1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3
6773.18 3775.42 17321.42 6772.81 3943.09 3829.59 6721.93 6757.52 6561.5 3987.1 6675.01 3873.6 17226.52 6677.92 17262.12 6713.51 6658.24 6771.74
4.362E-02 1.158E-07 2.636E-08 3.100E-02 1.919E-06 9.421E-08 3.132E-02 8.648E-02 1.221E-02 1.218E-06 1.103E-01 9.597E-07 2.869E-07 6.059E-02 3.048E-07 4.378E-02 9.390E-02 3.787E-03
8.330E-03 7.523E-08 5.378E-10 5.740E-03 1.089E-06 5.421E-08 5.889E-03 1.659E-02 2.551E-03 6.549E-07 2.154E-02 5.632E-07 7.328E-09 1.154E-02 8.402E-09 8.509E-03 1.816E-02 6.612E-04
1.335E+06 3.671E-01 5.276E+00 9.486E+05 1.990E+01 9.216E-01 3.146E+05 8.780E+05 1.169E+05 4.306E+00 1.093E+06 3.202E+00 1.893E+01 6.008E+05 2.019E+01 4.387E+05 9.256E+05 3.862E+04
2.549E+05 2.384E-01 1.076E-01 1.756E+05 1.129E+01 5.303E-01 5.916E+04 1.685E+05 2.442E+04 2.315E+00 2.134E+05 1.879E+00 4.835E-01 1.144E+05 5.566E-01 8.527E+04 1.790E+05 6.741E+03
30
3P
- 1P1 3P - 3P 2 1 3P - 3D 1 2 1P - 3D 1 2 3P - 3P 1 2 1P - 3P 1 2 3P - 1D 1 2 1P - 1D 1 2 3P - 3D 2 2 3P - 3P 2 2 3P - 1D 2 2 3P - 3D 2 3 5 5p 5d - 5p58p 3P - 3S 0 1 3P - 3D 0 1 3P - 1P 0 1 3P - 3P 0 1 3P - 3P 1 0 3P - 1S 1 0 3D - 3P 1 0 3D - 1S 1 0 1P - 3P 1 0 1P - 1S 1 0 3P - 3S 1 1 3P - 3D 1 1 3P - 1P 1 1 3P - 3P 1 1 3D - 3S 1 1 3D - 3D 1 1 3D - 1P 1 1 3D - 3P 1 1 1P - 3S 1 1 1P - 3D 1 1 1P - 1P 1 1 1P - 3P 1 1 3P - 3D 1 2 3P - 3P 1 2 3P - 1D 1 2 2
5 5 3 3 3 3 3 3 5 5 5 5
3 3 5 5 5 5 5 5 5 5 5 7
17323.26 17358.85 6614.94 3933.66 6691.98 3856.62 17272.07 6723.46 6711.68 6788.72 17368.8 6726.79
6.739E-07 1.357E-05 1.101E-01 8.461E-07 7.297E-02 3.351E-06 1.850E-05 2.165E-01 4.417E-02 1.423E-01 2.554E-06 3.032E-01
1.969E-08 3.863E-07 2.149E-02 4.588E-07 1.436E-02 1.982E-06 5.470E-07 4.196E-02 8.250E-03 2.694E-02 7.283E-08 5.871E-02
4.497E+01 9.092E+02 6.425E+05 2.911E+00 4.359E+05 1.108E+01 7.364E+02 1.306E+06 2.654E+05 8.750E+05 1.028E+02 1.308E+06
1.314E+00 2.588E+01 1.254E+05 1.578E+00 8.580E+04 6.555E+00 2.177E+01 2.530E+05 4.958E+04 1.656E+05 2.931E+00 2.532E+05
1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5
12324.79 12438.29 22989.81 23025.41 12034.68 22582.92 7064.54 17612.77 2639.8 7908.43 11823 11936.5 22488.02 22523.62 6852.86 6966.36 17517.88 17553.47 2851.48 2737.98 7813.53 7849.13 11876.44 11953.48 22533.57
2.715E-03 2.203E-04 1.028E-08 2.792E-07 1.673E-04 1.032E-04 2.378E-03 3.495E-04 5.622E-05 2.979E-03 5.989E-03 1.081E-04 4.903E-05 1.749E-05 4.448E-06 1.974E-03 1.742E-04 8.589E-05 1.387E-05 3.478E-05 1.461E-03 7.020E-04 5.321E-04 1.444E-03 5.537E-06
3.099E-03 2.323E-04 3.487E-09 9.139E-08 2.184E-04 3.466E-05 8.694E-03 1.930E-04 1.479E-03 8.167E-03 7.497E-03 1.070E-04 1.659E-05 6.198E-06 6.895E-06 7.261E-03 9.725E-05 4.981E-05 3.166E-04 8.462E-04 4.102E-03 2.040E-03 6.380E-04 1.809E-03 1.950E-06
9.168E+04 7.579E+03 1.208E+00 3.291E+01 1.617E+04 3.509E+04 7.915E+04 7.232E+04 8.710E+01 1.243E+05 1.861E+05 3.424E+03 5.513E+03 1.973E+03 4.644E+01 2.130E+04 1.189E+04 5.885E+03 2.507E+01 5.798E+01 1.983E+04 9.616E+03 1.001E+04 2.753E+04 3.750E+02
1.047E+05 7.990E+03 4.098E-01 1.077E+01 2.110E+04 1.179E+04 2.894E+05 3.993E+04 2.291E+03 3.407E+05 2.330E+05 3.391E+03 1.866E+03 6.991E+02 7.200E+01 7.834E+04 6.635E+03 3.412E+03 5.724E+02 1.410E+03 5.568E+04 2.795E+04 1.201E+04 3.449E+04 1.321E+02
31
3D
- 3D2 3D - 3P 1 2 3D - 1D 1 2 1P - 3D 1 2 1P - 3P 1 2 1P - 1D 1 2 3P - 3S 2 1 3P - 3D 2 1 3P - 1P 2 1 3P - 3P 2 1 3F - 3S 2 1 3F - 3D 2 1 3F - 1P 2 1 3F - 3P 2 1 1D - 3S 2 1 1D - 3D 2 1 1D - 1P 2 1 1D - 3P 2 1 3D - 3D 2 1 3D - 1P 2 1 3D - 3P 2 1 3P - 3D 2 2 3P - 3P 2 2 3P - 1D 2 2 3F - 3D 2 2 3F - 3P 2 2 3F - 1D 2 2 1D - 3D 2 2 1D - 3P 2 2 1D - 1D 2 2 3D - 3D 2 2 3D - 3P 2 2 3D - 1D 2 2 3P - 3D 2 3 3F - 3D 2 3 1D - 3D 2 3 3D - 3D 2 3 3F - 3D 3 2 1
3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7
5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 5
6906.3 6983.34 17563.42 2798.05 2721.01 7859.08 11005.32 11118.82 21670.33 21705.93 9721.76 9835.26 20386.78 20422.37 113.86 227.36 10778.88 10814.47 114.27 10665.79 10701.39 11058.75 11135.79 21715.88 9775.2 9852.24 20432.32 167.3 244.34 10824.42 54.21 131.25 10711.33 11073.86 9790.31 182.41 69.32 10661.21
1.816E-04 1.595E-08 1.659E-05 5.640E-07 4.036E-06 1.378E-04 4.453E-03 1.332E-03 1.407E-05 3.539E-04 2.352E-04 6.894E-03 1.344E-04 1.701E-05 3.310E-08 1.001E-06 1.008E-02 1.562E-03 2.849E-07 6.546E-04 9.188E-03 2.200E-04 5.686E-03 7.449E-05 3.959E-03 1.684E-04 1.422E-05 5.007E-07 6.022E-08 1.050E-03 1.908E-08 1.327E-06 1.916E-03 5.584E-04 2.263E-04 3.865E-08 6.690E-08 1.545E-02 32
6.565E-04 1.822E-08 9.634E-06 1.281E-05 1.004E-04 3.996E-04 6.604E-03 2.047E-03 5.093E-06 1.378E-04 3.734E-04 1.258E-02 5.537E-05 7.466E-06 3.959E-04 3.413E-03 1.488E-02 2.429E-03 4.140E-03 9.854E-04 1.471E-02 2.910E-04 8.332E-03 2.879E-05 7.115E-03 2.858E-04 6.080E-06 3.068E-03 1.712E-04 1.594E-03 1.050E-03 1.401E-02 3.043E-03 8.268E-04 4.192E-04 2.068E-04 2.529E-03 2.335E-02
1.155E+03 1.038E-01 6.825E+02 9.817E-01 6.644E+00 1.136E+03 1.199E+05 3.660E+04 1.469E+03 3.707E+04 4.942E+03 1.483E+05 1.242E+04 1.577E+03 9.541E-05 1.150E-02 2.605E+05 4.062E+04 8.272E-04 1.656E+04 2.339E+05 3.590E+03 9.406E+04 4.686E+03 5.046E+04 2.181E+03 7.917E+02 1.869E-03 4.796E-04 1.641E+04 7.482E-06 3.050E-03 2.933E+04 6.525E+03 2.067E+03 1.226E-04 3.063E-05 2.343E+05
4.177E+03 1.185E-01 3.965E+02 2.230E+01 1.653E+02 3.293E+03 1.779E+05 5.628E+04 5.318E+02 1.443E+04 7.846E+03 2.706E+05 5.116E+03 6.924E+02 1.141E+00 3.923E+01 3.845E+05 6.318E+04 1.202E+01 2.492E+04 3.745E+05 4.748E+03 1.378E+05 1.811E+03 9.070E+04 3.700E+03 3.386E+02 1.145E+01 1.363E+00 2.492E+04 4.115E-01 3.219E+01 4.657E+04 9.662E+03 3.828E+03 6.555E-01 1.158E+00 3.540E+05
3F
- 3P2 3F - 1D 3 2 1F - 3D 3 2 1F - 3P 3 2 1F - 1D 3 2 3D - 3D 3 2 3D - 3P 3 2 3D - 1D 3 2 3F - 3D 3 3 1F - 3D 3 3 3D - 3D 3 3 3F - 3D 4 3 5 5p 6d - 5p58p 3P - 3S 0 1 3P - 3D 0 1 3P - 1P 0 1 3P - 3P 0 1 3P - 3P 1 0 3P - 1S 1 0 3D - 3P 1 0 3D - 1S 1 0 1P - 3P 1 0 1P - 1S 1 0 3P - 3S 1 1 3P - 3D 1 1 3P - 1P 1 1 3P - 3P 1 1 3D - 3S 1 1 3D - 3D 1 1 3D - 1P 1 1 3D - 3P 1 1 1P - 3S 1 1 1P - 3D 1 1 1P - 1P 1 1 1P - 3P 1 1 3P - 3D 1 2 3P - 3P 1 2 3P - 1D 1 2 3
7 7 7 7 7 7 7 7 7 7 7 9
5 5 5 5 5 5 5 5 7 7 7 7
10738.25 21318.34 9558.18 9635.22 20215.31 172.99 95.95 10484.14 10676.32 9573.29 157.88 11310.96
2.730E-08 1.245E-04 4.494E-04 1.158E-02 5.471E-05 7.177E-07 1.949E-07 1.627E-02 2.244E-03 2.956E-03 4.397E-07 2.269E-02
1.673E-07 5.028E-05 8.995E-04 2.285E-02 2.452E-05 4.071E-03 3.828E-03 2.711E-02 3.527E-03 5.908E-03 3.192E-03 3.249E-02
4.200E-01 7.548E+03 5.477E+03 1.434E+05 2.983E+03 2.047E-03 1.710E-04 2.385E+05 2.438E+04 2.581E+04 1.044E-03 2.766E+05
2.573E+00 3.049E+03 1.096E+04 2.830E+05 1.337E+03 1.161E+01 3.358E+00 3.975E+05 3.830E+04 5.160E+04 7.581E+00 3.960E+05
1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5
3368.95 3482.45 14033.96 14069.56 3340.78 13889.01 1053.9 11602.13 8853.7 1694.53 3129.09 3242.6 13794.11 13829.71 842.22 955.72 11507.24 11542.83 9065.38 8951.88 1599.63 1635.23 3182.53 3259.57 13839.66
1.443E-02 1.235E-03 1.200E-07 3.316E-06 5.893E-04 2.581E-04 7.290E-03 9.833E-04 7.689E-04 1.311E-02 3.111E-02 8.974E-04 1.165E-04 2.573E-05 3.377E-06 5.363E-03 4.932E-04 2.428E-04 2.015E-04 4.587E-04 6.145E-03 2.941E-03 2.994E-03 7.629E-03 1.583E-05
2.688E-02 2.055E-03 1.323E-08 3.544E-07 1.163E-03 2.802E-05 1.430E-01 1.529E-04 2.142E-04 9.573E-02 6.740E-02 1.633E-03 1.280E-05 2.948E-06 1.904E-04 1.261E-01 7.795E-05 3.940E-05 5.378E-05 1.247E-04 5.033E-02 2.384E-02 6.139E-03 1.551E-02 1.788E-06
3.642E+04 3.330E+03 5.257E+00 1.460E+02 4.387E+03 3.321E+04 5.401E+03 8.828E+04 1.340E+04 2.512E+04 6.772E+04 2.098E+03 4.929E+03 1.094E+03 5.326E-01 1.089E+03 1.452E+04 7.193E+03 3.683E+03 8.174E+03 3.496E+03 1.748E+03 4.046E+03 1.081E+04 4.046E+02
6.784E+04 5.542E+03 5.792E-01 1.560E+01 8.661E+03 3.605E+03 1.059E+05 1.372E+04 3.734E+03 1.833E+05 1.467E+05 3.818E+03 5.416E+02 1.254E+02 3.002E+01 2.562E+04 2.295E+03 1.167E+03 9.827E+02 2.222E+03 2.864E+04 1.417E+04 8.296E+03 2.198E+04 4.567E+01
33
3D
- 3D2 3D - 3P 1 2 3D - 1D 1 2 1P - 3D 1 2 1P - 3P 1 2 1P - 1D 1 2 3P - 3S 2 1 3P - 3D 2 1 3P - 1P 2 1 3P - 3P 2 1 3F - 3S 2 1 3F - 3D 2 1 3F - 1P 2 1 3F - 3P 2 1 1D - 3S 2 1 1D - 3D 2 1 1D - 1P 2 1 1D - 3P 2 1 3D - 3S 2 1 3D - 3D 2 1 3D - 1P 2 1 3D - 3P 2 1 3P - 3D 2 2 3P - 3P 2 2 3P - 1D 2 2 3F - 3D 2 2 3F - 3P 2 2 3F - 1D 2 2 1D - 3D 2 2 1D - 3P 2 2 1D - 1D 2 2 3D - 3D 2 2 3D - 3P 2 2 3D - 1D 2 2 3P - 3D 2 3 3F - 3D 2 3 1D - 3D 2 3 3D - 3D 2 3 1
3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7
895.66 972.7 11552.78 9011.95 8934.91 1645.18 2786.5 2900 13451.51 13487.11 2320.48 2433.99 12985.5 13021.1 7846.83 7733.33 2818.19 2853.78 7868.46 7754.95 2796.56 2832.16 2839.93 2916.98 13497.06 2373.92 2450.96 13031.05 7793.39 7716.35 2863.73 7815.02 7737.98 2842.11 2855.04 2389.03 7778.28 7799.91
4.098E-04 7.098E-06 4.700E-05 5.401E-06 6.668E-05 5.813E-04 2.228E-02 6.618E-03 1.998E-05 6.133E-04 1.093E-03 3.345E-02 2.157E-04 2.492E-05 3.730E-06 8.581E-05 5.290E-02 6.404E-03 1.232E-04 5.056E-05 2.361E-03 4.936E-02 1.194E-03 2.931E-02 1.552E-04 1.888E-02 7.614E-04 2.059E-05 5.956E-05 2.278E-06 5.959E-03 1.237E-05 2.528E-04 9.343E-03 2.840E-03 1.043E-03 3.623E-06 2.442E-05 34
1.074E-02 1.785E-04 7.641E-06 1.431E-06 1.823E-05 4.656E-03 6.178E-02 1.753E-02 2.285E-06 7.362E-05 3.905E-03 1.206E-01 2.675E-05 3.244E-06 1.144E-06 3.071E-05 1.396E-01 1.712E-02 4.273E-05 1.877E-05 6.322E-03 1.342E-01 2.998E-03 7.485E-02 1.853E-05 7.026E-02 2.629E-03 2.638E-06 2.054E-05 7.929E-07 1.573E-02 4.128E-06 9.174E-05 2.519E-02 7.579E-03 3.953E-03 1.295E-06 8.732E-06
4.386E+01 8.959E-01 8.369E+02 9.754E+01 1.184E+03 2.099E+02 3.846E+04 1.237E+04 8.037E+02 2.481E+04 1.309E+03 4.406E+04 8.087E+03 9.395E+02 3.064E+01 6.846E+02 9.342E+04 1.160E+04 1.018E+03 4.057E+02 4.106E+03 8.803E+04 1.285E+03 3.328E+04 3.771E+03 1.420E+04 6.102E+02 4.664E+02 4.826E+02 1.810E+01 6.520E+03 1.008E+02 2.020E+03 1.007E+04 2.206E+03 5.673E+02 2.924E+01 1.982E+02
1.150E+03 2.254E+01 1.360E+02 2.583E+01 3.237E+02 1.681E+03 1.067E+05 3.278E+04 9.194E+01 2.978E+03 4.675E+03 1.589E+05 1.003E+03 1.223E+02 9.394E+00 2.450E+02 2.466E+05 3.100E+04 3.529E+02 1.506E+02 1.099E+04 2.393E+05 3.226E+03 8.496E+04 4.504E+02 5.282E+04 2.107E+03 5.977E+01 1.664E+02 6.298E+00 1.721E+04 3.363E+01 7.328E+02 2.715E+04 5.887E+03 2.150E+03 1.045E+01 7.087E+01
3F
- 3D2 3F - 3P 3 2 3F - 1D 3 2 1F - 3D 3 2 1F - 3P 3 2 1F - 1D 3 2 3D - 3D 3 2 3D - 3P 3 2 3D - 1D 3 2 3F - 3D 3 3 1F - 3D 3 3 3D - 3D 3 3 3F - 3D 4 3 5 5p 6s - 5p58p 3P - 3S 0 1 3P - 3D 0 1 3P - 1P 0 1 3P - 3P 0 1 3P - 3P 1 0 3P - 1S 1 0 1P - 3P 1 0 1P - 1S 1 0 3P - 3S 1 1 3P - 3D 1 1 3P - 1P 1 1 3P - 3P 1 1 1P - 3S 1 1 1P - 3D 1 1 1P - 1P 1 1 1P - 3P 1 1 3P - 3D 1 2 3P - 3P 1 2 3P - 1D 1 2 1P - 3D 1 2 1P - 3P 1 2 1P - 1D 1 2 3P - 3S 2 1 3P - 3D 2 1 3
7 7 7 7 7 7 7 7 7 7 7 7 9
5 5 5 5 5 5 5 5 5 7 7 7 7
2702.96 2780 13360.08 2274.49 2351.53 12931.61 7965.78 7888.74 2691.35 2718.07 2289.6 7950.67 2995.97
7.541E-02 1.527E-04 2.830E-04 3.175E-03 5.459E-02 5.079E-05 1.244E-04 2.626E-05 8.111E-02 1.219E-02 1.272E-02 6.350E-05 1.162E-01
2.165E-01 3.725E-04 3.468E-05 1.327E-02 2.153E-01 6.620E-06 4.085E-05 9.056E-06 2.442E-01 3.578E-02 5.292E-02 2.182E-05 2.822E-01
7.350E+04 1.574E+02 6.740E+03 2.191E+03 4.027E+04 1.133E+03 7.521E+02 1.557E+02 7.837E+04 8.583E+03 6.353E+03 3.825E+02 9.937E+04
2.110E+05 3.840E+02 8.258E+02 9.159E+03 1.588E+05 1.477E+02 2.470E+02 5.370E+01 2.359E+05 2.519E+04 2.643E+04 1.315E+02 2.414E+05
1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 5
3 3 3 3 1 1 1 1 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3
13823.7 13937.21 24488.72 24524.32 23614.16 34162.4 13548.83 24097.07 23402.48 23515.99 34067.5 34103.1 13337.15 13450.65 24002.17 24037.77 23455.92 23532.96 34113.05 13390.59 13467.63 24047.72 24377.21 24490.72
3.109E-08 7.828E-10 2.948E-04 1.323E-03 6.376E-04 1.413E-06 1.471E-06 2.826E-04 2.580E-04 1.466E-03 2.880E-06 3.492E-06 3.889E-07 3.501E-06 5.565E-04 6.556E-04 1.106E-03 1.168E-03 2.031E-05 2.539E-06 3.202E-06 3.245E-03 1.040E-03 8.121E-06
4.860E-08 7.623E-10 1.029E-04 6.275E-04 3.259E-04 2.423E-07 2.317E-06 1.015E-04 1.571E-04 7.140E-04 4.987E-07 8.441E-07 7.749E-07 5.243E-06 2.010E-04 3.230E-04 4.517E-04 6.267E-04 4.997E-06 3.143E-06 5.237E-06 1.600E-03 4.101E-04 7.330E-08
1.321E+00 3.381E-02 3.931E+04 1.769E+05 2.372E+05 1.100E+03 1.802E+02 1.095E+05 3.141E+04 1.803E+05 7.431E+02 9.031E+02 1.538E+01 1.408E+02 7.128E+04 8.423E+04 8.117E+04 8.629E+04 3.154E+03 6.074E+01 7.747E+01 2.504E+05 1.374E+05 1.083E+03
2.065E+00 3.292E-02 1.372E+04 8.391E+04 1.212E+05 1.886E+02 2.837E+02 3.931E+04 1.913E+04 8.779E+04 1.287E+02 2.183E+02 3.065E+01 2.109E+02 2.575E+04 4.150E+04 3.315E+04 4.630E+04 7.758E+02 7.519E+01 1.267E+02 1.234E+05 5.418E+04 9.776E+00
35
3P
- 1P1 3P - 3P 2 1 3P - 3D 2 2 3P - 3P 2 2 3P - 1D 2 2 3P - 3D 2 3 5 5p 4f - 5p58d 3D - 3P 1 0 3D - 3P 1 1 3D - 3D 1 1 3D - 1P 1 1 3D - 3P 2 1 1D - 3P 2 1 3F - 3P 2 1 3D - 3D 2 1 1D - 3D 2 1 3F - 3D 2 1 3D - 1P 2 1 1D - 1P 2 1 3F - 1P 2 1 3D - 3P 1 2 3D - 3F 1 2 3D - 1D 1 2 3D - 3D 1 2 3D - 3P 2 2 1D - 3P 2 2 3F - 3P 2 2 3D - 3F 2 2 1D - 3F 2 2 3F - 3F 2 2 3D - 1D 2 2 1D - 1D 2 2 3F - 1D 2 2 3D - 3D 2 2 1D - 3D 2 2 3F - 3D 2 2 3D - 3P 3 2 1F - 3P 3 2 2
5 5 5 5 5 5
3 3 5 5 5 7
35042.23 35077.83 24430.65 24507.69 35087.78 24445.76
5.805E-09 8.366E-08 3.480E-04 2.033E-03 1.652E-08 4.639E-03
1.356E-09 1.603E-08 1.052E-04 9.338E-04 3.267E-09 2.213E-03
1.585E+00 2.289E+01 2.771E+04 1.629E+05 2.714E+00 2.642E+05
3.701E-01 4.386E+00 8.376E+03 7.482E+04 5.365E-01 1.260E+05
3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 7 7
1 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
3377.21 3445.36 4086.3 14461.87 3442.2 3350.01 7254.21 4083.14 3990.95 6613.26 14458.71 14366.52 3762.31 3535.51 3649.8 14152.99 14156.16 3532.35 3440.16 7164.06 3646.64 3554.45 7049.77 14149.83 14057.64 3453.42 14153 14060.82 3456.6 3442.87 3398.66
1.253E-02 1.254E-02 2.718E-04 4.949E-06 1.521E-02 1.024E-02 7.292E-06 2.067E-02 2.372E-02 8.698E-05 1.255E-04 7.483E-05 4.181E-02 1.308E-03 5.811E-04 7.011E-08 1.168E-06 1.213E-02 3.026E-03 4.860E-07 2.224E-05 1.075E-02 2.786E-06 1.212E-07 5.501E-06 3.592E-03 9.600E-06 8.128E-07 3.513E-03 4.748E-02 2.977E-07
1.410E-02 1.358E-02 2.069E-04 3.055E-07 1.653E-02 1.170E-02 1.780E-06 1.600E-02 1.917E-02 2.555E-05 7.742E-06 4.669E-06 3.793E-02 1.347E-03 5.591E-04 4.477E-09 7.508E-08 1.253E-02 3.288E-03 1.224E-07 2.228E-05 1.093E-02 7.195E-07 7.859E-09 3.574E-07 3.866E-03 6.176E-07 5.268E-08 3.793E-03 5.162E-02 1.498E-07
9.529E+04 3.310E+04 1.009E+03 2.301E+02 4.007E+04 2.555E+04 5.119E+01 7.664E+04 8.399E+04 5.075E+02 5.834E+03 3.434E+03 1.316E+05 2.180E+03 1.033E+03 1.874E+00 3.123E+01 2.018E+04 4.777E+03 3.328E+00 3.945E+01 1.812E+04 1.847E+01 3.236E+00 1.450E+02 5.715E+03 2.565E+02 2.144E+01 5.600E+03 7.507E+04 4.588E-01
1.073E+05 3.584E+04 7.680E+02 1.421E+01 4.354E+04 2.919E+04 1.250E+01 5.931E+04 6.787E+04 1.491E+02 3.598E+02 2.143E+02 1.194E+05 2.247E+03 9.936E+02 1.196E-01 2.007E+00 2.085E+04 5.190E+03 8.380E-01 3.952E+01 1.842E+04 4.771E+00 2.099E-01 9.421E+00 6.151E+03 1.650E+01 1.390E+00 6.046E+03 8.163E+04 2.309E-01
36
3G
- 3P2 3F - 3P 3 2 3D - 3F 3 2 1F - 3F 3 2 3G - 3F 3 2 3F - 3F 3 2 3D - 1D 3 2 1F - 1D 3 2 3G - 1D 3 2 3F - 1D 3 2 3D - 3D 3 2 1F - 3D 3 2 3G - 3D 3 2 3F - 3D 3 2 3D - 3F 2 3 1D - 3F 2 3 3F - 3F 2 3 3D - 1F 2 3 1D - 1F 2 3 3F - 1F 2 3 3D - 3D 2 3 1D - 3D 2 3 3F - 3D 2 3 3D - 3F 3 3 1F - 3F 3 3 3G - 3F 3 3 3F - 3F 3 3 3D - 1F 3 3 1F - 1F 3 3 3G - 1F 3 3 3F - 1F 3 3 3D - 3D 3 3 1F - 3D 3 3 3G - 3D 3 3 3F - 3D 3 3 1G - 3F 4 3 3F - 3F 4 3 3G - 3F 4 3 3
7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9
5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
7161.29 7161.41 3557.16 3512.95 7047 7047.12 14060.35 14016.13 3456.19 3456.07 14063.53 14019.31 3459.37 3459.25 3565.01 3472.83 7131.39 3674.98 3582.79 7021.43 14199.66 14107.48 3503.26 3475.53 3431.32 7128.62 7128.75 3585.5 3541.29 7018.66 7018.78 14110.18 14065.97 3506.03 3505.9 3523.3 3431.29 7129
8.085E-07 6.453E-06 7.759E-04 5.312E-02 1.657E-06 1.491E-09 8.553E-07 1.454E-06 5.181E-02 8.687E-03 6.496E-06 2.486E-08 1.128E-02 4.906E-02 1.350E-04 8.437E-04 2.221E-07 8.178E-04 3.002E-04 6.283E-08 1.163E-07 5.675E-07 2.053E-04 1.567E-03 1.119E-02 2.587E-07 1.053E-06 1.376E-02 1.989E-04 1.536E-07 2.050E-06 4.846E-06 1.403E-06 9.521E-04 6.239E-03 7.128E-02 5.965E-03 6.725E-06 37
2.048E-07 1.621E-06 7.973E-04 5.532E-02 4.291E-07 4.457E-10 5.612E-08 9.533E-08 5.571E-02 9.333E-03 4.230E-07 1.500E-09 1.216E-02 5.285E-02 1.365E-04 8.986E-04 5.618E-08 7.811E-04 3.022E-04 1.646E-08 7.425E-09 3.671E-08 2.159E-04 1.668E-03 1.220E-02 6.514E-08 2.672E-07 1.380E-02 2.057E-04 4.024E-08 5.368E-07 3.136E-07 9.089E-08 1.001E-03 6.547E-03 7.373E-02 6.513E-03 1.707E-06
3.951E+00 3.153E+01 1.310E+03 8.745E+04 7.842E+00 7.058E-03 2.256E+01 3.811E+01 8.256E+04 1.384E+04 1.714E+02 6.517E-01 1.801E+04 7.832E+04 1.634E+02 9.696E+02 1.507E+00 1.052E+03 3.672E+02 4.133E-01 2.234E+00 1.076E+01 2.400E+02 1.804E+03 1.255E+04 1.252E+00 5.099E+00 1.685E+04 2.377E+02 7.209E-01 9.625E+00 9.194E+01 2.644E+01 1.115E+03 7.307E+03 8.431E+04 6.693E+03 2.533E+01
1.001E+00 7.923E+00 1.346E+03 9.107E+04 2.030E+00 2.109E-03 1.480E+00 2.498E+00 8.878E+04 1.487E+04 1.116E+01 3.934E-02 1.942E+04 8.437E+04 1.653E+02 1.033E+03 3.811E-01 1.005E+03 3.696E+02 1.083E-01 1.427E-01 6.961E-01 2.525E+02 1.919E+03 1.369E+04 3.154E-01 1.294E+00 1.691E+04 2.458E+02 1.889E-01 2.520E+00 5.950E+00 1.714E+00 1.172E+03 7.668E+03 8.722E+04 7.307E+03 6.431E+00
1G
- 1F3 3F - 1F 4 3 3G - 1F 4 3 1G - 3D 4 3 3F - 3D 4 3 3G - 3D 4 3 3D - 3F 3 4 1F - 3F 3 4 3G - 3F 3 4 3F - 3F 3 4 1G - 3F 4 4 3F - 3F 4 4 3G - 3F 4 4 3G - 3F 5 4 5 5p 5f - 5p58d 3D - 3P 1 0 3D - 3P 1 1 3D - 3D 1 1 3D - 1P 1 1 3D - 3P 2 1 1D - 3P 2 1 3F - 3P 2 1 3D - 3D 2 1 1D - 3D 2 1 3F - 3D 2 1 3D - 1P 2 1 1D - 1P 2 1 3F - 1P 2 1 3D - 3P 1 2 3D - 3F 1 2 3D - 1D 1 2 3D - 3D 1 2 3D - 3P 2 2 1D - 3P 2 2 3F - 3P 2 2 3D - 3F 2 2 1D - 3F 2 2 3F - 3F 2 2 4
9 9 9 9 9 9 7 7 7 7 9 9 9 11
7 7 7 7 7 7 9 9 9 9 9 9 9 9
3633.26 3541.25 7019.03 14157.95 14065.94 3505.65 3400.63 3356.42 7203.53 7203.65 3448.39 3356.38 7203.9 3449.95
1.062E-02 6.629E-02 4.575E-07 1.250E-05 6.581E-08 8.320E-02 5.751E-04 3.176E-04 4.366E-08 4.262E-08 2.332E-03 1.101E-02 5.713E-07 1.001E-01
1.037E-02 6.817E-02 1.198E-07 8.001E-07 4.350E-09 8.729E-02 6.414E-04 3.640E-04 1.086E-08 1.059E-08 2.533E-03 1.260E-02 1.420E-07 1.084E-01
1.336E+04 7.922E+04 1.671E+00 2.387E+02 1.241E+00 9.743E+04 4.929E+02 2.652E+02 2.159E-01 2.108E-01 2.056E+03 9.190E+03 2.197E+00 8.828E+04
1.305E+04 8.146E+04 4.373E-01 1.528E+01 8.202E-02 1.022E+05 5.497E+02 3.039E+02 5.370E-02 5.237E-02 2.232E+03 1.052E+04 5.461E-01 9.564E+04
3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 5
1 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5
870.8 938.95 1579.89 11955.46 936.37 888.74 9723.63 1577.31 1529.68 9082.68 11952.88 11905.25 1292.89 1029.1 1143.39 11646.58 11649.75 1026.52 978.89 9633.48 1140.81 1093.18 9519.18
1.970E-01 2.084E-01 6.454E-03 2.486E-04 2.596E-01 1.585E-01 8.722E-04 4.653E-01 5.725E-01 6.247E-03 6.218E-03 2.769E-03 8.764E-01 2.317E-02 1.112E-02 3.528E-06 5.853E-05 2.182E-01 4.868E-02 8.315E-05 1.364E-04 2.020E-01 1.074E-04
2.920E-01 2.659E-01 2.878E-03 1.965E-06 3.337E-01 2.252E-01 1.037E-05 2.114E-01 2.758E-01 8.516E-05 4.917E-05 2.205E-05 5.894E-01 2.466E-02 9.543E-03 2.913E-08 4.861E-07 2.337E-01 5.715E-02 1.012E-06 1.265E-04 1.900E-01 1.332E-06
9.963E+04 4.085E+04 3.582E+03 7.902E+03 5.060E+04 2.783E+04 1.100E+04 2.574E+05 2.979E+05 6.875E+04 1.975E+05 8.727E+04 3.257E+05 3.273E+03 1.939E+03 6.384E+01 1.060E+03 3.068E+04 6.223E+03 1.029E+03 2.369E+01 3.220E+04 1.298E+03
1.477E+05 5.212E+04 1.597E+03 6.246E+01 6.506E+04 3.954E+04 1.309E+02 1.169E+05 1.435E+05 9.372E+02 1.562E+03 6.948E+02 2.191E+05 3.485E+03 1.664E+03 5.271E-01 8.801E+00 3.286E+04 7.306E+03 1.253E+01 2.197E+01 3.029E+04 1.610E+01
38
3D
- 1D2 1D - 1D 2 2 3F - 1D 2 2 3D - 3D 2 2 1D - 3D 2 2 3F - 3D 2 2 3D - 3P 3 2 1F - 3P 3 2 3F - 3P 3 2 3G - 3P 3 2 3D - 3F 3 2 1F - 3F 3 2 3F - 3F 3 2 3G - 3F 3 2 3D - 1D 3 2 1F - 1D 3 2 3F - 1D 3 2 3G - 1D 3 2 3D - 3D 3 2 1F - 3D 3 2 3F - 3D 3 2 3G - 3D 3 2 3D - 3F 2 3 1D - 3F 2 3 3F - 3F 2 3 3D - 1F 2 3 1D - 1F 2 3 3F - 1F 2 3 3D - 3D 2 3 1D - 3D 2 3 3F - 3D 2 3 3D - 3F 3 3 1F - 3F 3 3 3F - 3F 3 3 3G - 3F 3 3 3D - 1F 3 3 1F - 1F 3 3 3F - 1F 3 3 2
5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7
5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
11644 11596.37 984 11647.17 11599.55 987.18 981.17 958.34 9631.24 9631.39 1095.46 1072.64 9516.95 9517.09 11598.65 11575.82 986.24 986.09 11601.82 11579 989.42 989.27 1059.18 1011.56 9600.81 1169.15 1121.52 9490.85 11693.83 11646.21 1033.84 1013.83 991.01 9598.57 9598.72 1123.8 1100.97 9488.61
5.439E-06 4.570E-08 9.838E+01 8.267E-01 1.844E-04 1.541E-06 3.308E+03 2.765E+01 6.245E-02 7.248E-02 8.066E+03 9.362E+03 4.937E-04 4.108E-06 8.935E+03 7.433E+01 8.197E-05 6.845E-07 1.471E+03 1.229E+01 6.102E-02 7.069E-02 7.932E+03 9.190E+03 8.223E-01 9.642E-01 1.056E+05 1.238E+05 1.334E-05 1.000E-05 1.634E+00 1.226E+00 1.140E-03 1.389E-05 1.008E+04 1.228E+02 6.677E-05 8.077E-07 5.902E+02 7.139E+00 1.461E-02 1.388E-02 2.338E+03 2.222E+03 9.884E-01 9.665E-01 1.517E+05 1.484E+05 4.978E-05 6.216E-07 4.296E+02 5.365E+00 2.806E-04 3.480E-06 2.421E+03 3.004E+01 5.135E-05 4.333E-07 9.215E+02 7.777E+00 2.852E-04 2.397E-06 5.098E+03 4.284E+01 3.704E-02 4.291E-02 4.806E+03 5.568E+03 1.016E+00 1.174E+00 1.317E+05 1.523E+05 9.486E-04 7.954E-06 1.703E+04 1.428E+02 4.330E-06 3.484E-08 7.745E+01 6.231E-01 1.031E+00 1.189E+00 1.346E+05 1.553E+05 1.778E-02 2.045E-02 2.321E+03 2.670E+03 2.680E-03 2.688E-03 2.865E+02 2.873E+02 1.476E-02 1.622E-02 1.439E+03 1.582E+03 8.292E-06 1.014E-07 1.020E+02 1.247E+00 1.617E-02 1.336E-02 2.106E+03 1.740E+03 5.369E-03 4.824E-03 6.435E+02 5.782E+02 2.020E-06 2.533E-08 2.427E+01 3.044E-01 6.092E-06 5.022E-08 7.939E+01 6.544E-01 2.079E-05 1.726E-07 2.687E+02 2.231E+00 3.683E-03 3.892E-03 3.751E+02 3.964E+02 2.773E-02 3.036E-02 2.716E+03 2.974E+03 1.972E-01 2.257E-01 1.845E+04 2.112E+04 5.918E-05 7.245E-07 5.196E+02 6.361E+00 1.563E-05 1.923E-07 1.372E+02 1.688E+00 2.619E-01 2.343E-01 3.152E+04 2.819E+04 3.810E-03 3.560E-03 4.401E+02 4.112E+02 5.511E-05 6.915E-07 4.728E+02 5.933E+00 39
3G
- 1F3 3D - 3D 3 3 1F - 3D 3 3 3F - 3D 3 3 3G - 3D 3 3 1G - 3F 4 3 3F - 3F 4 3 3G - 3F 4 3 1G - 1F 4 3 3F - 1F 4 3 3G - 1F 4 3 1G - 3D 4 3 3F - 3D 4 3 3G - 3D 4 3 3D - 3F 3 4 1F - 3F 3 4 3F - 3F 3 4 3G - 3F 3 4 1G - 3F 4 4 3F - 3F 4 4 3G - 3F 4 4 3G - 3F 5 4 5 5p 6p - 5p58d 3S - 3P 1 0 3D - 3P 1 0 1P - 3P 1 0 3P - 3P 1 0 3P - 3P 2 1 1S - 3P 0 1 3P - 3D 2 1 1S - 3D 0 1 3P - 1P 2 1 1S - 1P 0 1 3S - 3P 1 1 3D - 3P 1 1 1P - 3P 1 1 3P - 3P 1 1 3S - 3D 1 1 3
7 7 7 7 7 9 9 9 9 9 9 9 9 9 7 7 7 7 9 9 9 11
7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9
9488.76 11648.48 11625.66 1036.08 1035.93 1038.19 990.96 9599.01 1148.15 1100.92 9489.05 11672.83 11625.61 1035.64 938.93 916.1 9673.48 9673.63 963.28 916.05 9673.92 964.59
1.055E-05 1.502E-04 1.059E-04 4.369E-02 8.545E-02 1.284E+00 1.024E-01 6.723E-04 2.005E-01 1.256E+00 2.613E-06 6.358E-04 6.089E-05 1.493E+00 9.636E-03 5.283E-03 1.795E-06 8.385E-08 4.024E-02 1.819E-01 1.240E-05 1.700E+00
1.323E-07 1.249E-06 8.807E-07 4.597E-02 8.994E-02 1.339E+00 1.174E-01 8.245E-06 1.716E-01 1.170E+00 3.277E-08 5.243E-06 5.070E-07 1.572E+00 1.235E-02 7.111E-03 2.167E-08 1.012E-09 4.899E-02 2.449E-01 1.497E-07 2.064E+00
9.051E+01 1.942E+03 1.364E+03 4.469E+03 8.738E+03 1.318E+05 9.585E+03 4.591E+03 2.519E+04 1.450E+05 1.744E+01 8.255E+03 7.842E+02 1.526E+05 6.296E+02 3.286E+02 1.600E+01 7.477E-01 2.767E+03 1.132E+04 8.601E+01 1.172E+05
1.135E+00 1.614E+01 1.134E+01 4.702E+03 9.198E+03 1.375E+05 1.099E+04 5.630E+01 2.156E+04 1.351E+05 2.187E-01 6.807E+01 6.529E+00 1.607E+05 8.067E+02 4.423E+02 1.932E-01 9.026E-03 3.369E+03 1.523E+04 1.038E+00 1.423E+05
3 3 3 3 5 1 5 1 5 1 3 3 3 3 3
1 1 1 1 3 3 3 3 3 3 3 3 3 3 3
16903.52 14886.37 6151.65 4246.81 15066.91 5562.6 15707.85 6203.54 26083.42 16579.11 16971.66 14954.52 6219.8 4314.96 17612.6
2.628E-02 1.690E-03 2.550E-06 1.756E-05 1.056E-03 4.739E-06 6.150E-02 6.464E-05 2.946E-04 4.202E-02 5.699E-02 7.824E-03 3.161E-06 3.182E-05 2.933E-03
1.177E-02 3.730E-04 5.241E-06 1.136E-04 3.810E-04 1.845E-05 2.051E-02 1.763E-04 4.453E-05 2.068E-02 2.498E-02 2.071E-03 3.998E-06 2.033E-04 1.808E-03
5.008E+06 2.498E+05 6.437E+01 2.112E+02 5.332E+04 3.260E+01 3.374E+06 5.531E+02 4.456E+04 2.568E+06 3.650E+06 3.891E+05 2.719E+01 1.317E+02 2.023E+05
2.243E+06 5.514E+04 1.323E+02 1.367E+03 1.923E+04 1.269E+02 1.125E+06 1.508E+03 6.736E+03 1.264E+06 1.600E+06 1.030E+05 3.439E+01 8.415E+02 1.247E+05
40
3D
- 3D1 1P - 3D 1 1 3P - 3D 1 1 3S - 1P 1 1 3D - 1P 1 1 1P - 1P 1 1 3P - 1P 1 1 3D - 3P 2 1 3P - 3P 0 1 1D - 3P 2 1 3D - 3D 2 1 3P - 3D 0 1 1D - 3D 2 1 3D - 1P 2 1 3P - 1P 0 1 1D - 1P 2 1 3S - 3P 1 2 3D - 3P 1 2 1P - 3P 1 2 3P - 3P 1 2 3S - 3F 1 2 3D - 3F 1 2 1P - 3F 1 2 3P - 3F 1 2 3S - 1D 1 2 3D - 1D 1 2 1P - 1D 1 2 3P - 1D 1 2 3S - 3D 1 2 3D - 3D 1 2 1P - 3D 1 2 3P - 3D 1 2 3D - 3P 2 2 3P - 3P 0 2 1D - 3P 2 2 3D - 3F 2 2 3P - 3F 0 2 1D - 3F 2 2 1
3 3 3 3 3 3 3 5 1 5 5 1 5 5 1 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 1 5 5 1 5
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
15595.46 6860.74 4955.9 27988.17 25971.03 17236.31 15331.47 16774.03 14674.64 4323.47 17414.98 15315.58 4964.41 27790.55 25691.15 15339.98 17061.81 15044.67 6309.95 4405.11 17176.1 15158.96 6424.24 4519.4 27679.29 25662.15 16927.43 15022.59 27682.47 25665.32 16930.6 15025.76 16864.19 14764.79 4413.62 16978.48 14879.08 4527.91
3.932E-02 2.643E-06 7.564E-07 4.570E-05 7.267E-07 2.171E-02 1.553E-02 6.738E-03 1.578E-02 3.352E-06 2.319E-03 3.783E-04 7.114E-07 1.432E-07 1.674E-05 3.062E-03 2.574E-02 5.762E-02 3.068E-05 1.318E-05 2.224E-02 7.176E-02 1.506E-05 1.648E-07 2.462E-06 6.617E-05 1.070E-01 8.342E-03 4.645E-04 7.549E-05 8.297E-04 1.563E-01 4.710E-03 7.712E-02 1.530E-05 4.506E-02 2.656E-04 3.758E-07 41
1.423E-02 1.375E-06 7.289E-06 5.444E-06 8.468E-07 9.895E-03 5.464E-03 3.420E-03 6.232E-03 1.719E-05 1.015E-03 1.190E-04 1.971E-06 1.343E-08 2.086E-06 1.073E-03 9.765E-03 1.991E-02 5.906E-05 7.280E-05 1.202E-02 2.845E-02 2.454E-05 2.499E-06 4.101E-09 1.790E-05 5.045E-02 3.015E-03 4.782E-05 1.057E-05 4.070E-04 5.700E-02 2.592E-03 2.954E-02 6.952E-05 2.113E-02 1.633E-04 3.620E-06
2.127E+06 2.766E+01 4.130E+00 7.959E+03 1.090E+02 1.434E+06 8.115E+05 4.215E+05 7.558E+05 1.393E+01 1.564E+05 1.973E+04 3.898E+00 2.458E+01 2.456E+03 1.602E+05 9.995E+05 1.740E+06 1.629E+02 3.412E+01 8.754E+05 2.200E+06 8.290E+01 4.491E-01 2.517E+02 5.813E+03 4.091E+06 2.511E+05 4.748E+04 6.634E+03 3.173E+04 4.709E+06 1.787E+05 2.243E+06 3.975E+01 1.733E+06 7.844E+03 1.028E+00
7.695E+05 1.439E+01 3.981E+01 9.482E+02 1.270E+02 6.536E+05 2.856E+05 2.139E+05 2.984E+05 7.143E+01 6.841E+04 6.206E+03 1.080E+01 2.307E+00 3.061E+02 5.612E+04 3.792E+05 6.010E+05 3.137E+02 1.885E+02 4.731E+05 8.721E+05 1.351E+02 6.809E+00 4.191E-01 1.572E+03 1.929E+06 9.077E+04 4.888E+03 9.291E+02 1.556E+04 1.717E+06 9.832E+04 8.590E+05 1.807E+02 8.126E+05 4.822E+03 9.900E+00
3D
- 1D2 3P - 1D 0 2 1D - 1D 2 2 3D - 3D 2 2 3P - 3D 0 2 1D - 3D 2 2 3D - 3P 3 2 3D - 3F 3 2 3D - 1D 3 2 3D - 3D 3 2 3D - 3F 2 3 3P - 3F 0 3 1D - 3F 2 3 3D - 1F 2 3 3P - 1F 0 3 1D - 1F 2 3 3D - 3D 2 3 3P - 3D 0 3 1D - 3D 2 3 3D - 3F 3 3 3D - 1F 3 3 3D - 3D 3 3 3D - 3F 3 4 5p57p - 5p58d 3S - 3P 1 0 3D - 3P 1 0 1P - 3P 1 0 3P - 3P 1 0 3P - 3P 0 1 1S - 3P 0 1 3P - 3D 0 1 1S - 3D 0 1 3P - 1P 0 1 1S - 1P 0 1 3S - 3P 1 1 3D - 3P 1 1 1P - 3P 1 1 3P - 3P 1 1 2
5 1 5 5 1 5 7 7 7 7 5 1 5 5 1 5 5 1 5 7 7 7 7
5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9
27481.66 25382.27 15031.09 27484.84 25385.45 15034.27 15141.59 15255.88 25759.07 25762.24 16896.85 14797.45 4446.28 17006.81 14907.42 4556.25 27531.5 25432.1 15080.93 15174.25 15284.22 25808.9 15099.35
6.873E-10 1.113E-05 2.277E-02 1.189E-05 6.675E-05 2.229E-02 8.476E-03 3.664E-03 1.922E-07 3.218E-06 1.527E-01 8.384E-04 1.698E-07 4.541E-03 2.018E-01 7.147E-06 8.664E-06 7.368E-05 2.531E-01 4.008E-02 4.520E-02 7.521E-06 3.259E-01
3.594E-08 1.386E-06 8.310E-03 1.736E-06 8.616E-06 8.117E-03 3.045E-03 1.299E-03 2.392E-08 3.993E-07 7.189E-02 1.616E-04 1.575E-07 1.612E-03 7.453E-02 2.740E-05 3.913E-07 9.198E-06 9.160E-02 1.435E-02 1.592E-02 9.303E-07 1.176E-01
6.924E-02 9.563E+02 6.862E+05 1.198E+03 5.738E+03 6.722E+05 2.592E+05 1.138E+05 1.702E+01 2.849E+02 4.154E+06 1.749E+04 3.198E-01 1.252E+05 4.273E+06 1.414E+01 6.257E+02 4.541E+03 5.486E+06 8.793E+05 1.006E+06 4.773E+02 5.507E+06
3.621E+00 1.192E+02 2.505E+05 1.749E+02 7.407E+02 2.448E+05 9.312E+04 4.033E+04 2.118E+00 3.535E+01 1.956E+06 3.372E+03 2.967E-01 4.443E+04 1.578E+06 5.420E+01 2.826E+01 5.669E+02 1.985E+06 3.148E+05 3.544E+05 5.905E+01 1.988E+06
3 3 3 3 1 1 1 1 1 1 3 3 3 3
1 1 1 1 3 3 3 3 3 3 3 3 3 3
6388.83 5901.65 4418.51 4562.25 5616.25 4726.59 6257.19 4085.64 16632.76 6289.93 6456.98 5969.8 4350.37 4494.1
3.253E-02 1.776E-03 8.119E-07 2.235E-05 1.036E-03 5.173E-06 6.534E-02 4.442E-06 4.529E-05 5.440E-02 7.762E-02 1.305E-03 2.878E-08 3.236E-05
2.192E-02 1.508E-03 1.103E-06 2.952E-05 8.646E-04 6.525E-06 4.437E-02 7.970E-06 4.160E-06 3.829E-02 5.103E-02 1.166E-03 6.608E-08 4.419E-05
8.856E+05 4.125E+04 3.524E+00 1.034E+02 7.263E+03 7.709E+01 5.688E+05 4.946E+01 2.786E+03 4.785E+05 7.196E+05 1.034E+04 1.211E-01 1.453E+02
5.967E+05 3.502E+04 4.788E+00 1.366E+02 6.064E+03 9.723E+01 3.863E+05 8.874E+01 2.559E+02 3.368E+05 4.731E+05 9.236E+03 2.781E-01 1.984E+02
42
3S
- 3D1 3D - 3D 1 1 1P - 3D 1 1 3P - 3D 1 1 3S - 1P 1 1 3D - 1P 1 1 1P - 1P 1 1 3P - 1P 1 1 3D - 3P 2 1 3P - 3P 2 1 1D - 3P 2 1 3D - 3D 2 1 3P - 3D 2 1 1D - 3D 2 1 3D - 1P 2 1 3P - 1P 2 1 1D - 1P 2 1 3S - 3P 1 2 3D - 3P 1 2 1P - 3P 1 2 3P - 3P 1 2 3S - 3F 1 2 3D - 3F 1 2 1P - 3F 1 2 3P - 3F 1 2 3S - 1D 1 2 3D - 1D 1 2 1P - 1D 1 2 3P - 1D 1 2 3S - 3D 1 2 3D - 3D 1 2 1P - 3D 1 2 3P - 3D 1 2 3D - 3P 2 2 3P - 3P 2 2 1D - 3P 2 2 3D - 3F 2 2 3P - 3F 2 2 1
3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
7097.92 6610.74 3709.43 3853.16 17473.49 16986.31 6666.14 6522.41 6221.55 5905.37 4525.42 6862.5 6546.31 3884.47 17238.07 16921.88 6491.1 6547.13 6059.95 4260.22 4403.95 6661.42 6174.24 4145.93 4289.66 17164.6 16677.43 6357.26 6213.52 17167.78 16680.6 6360.44 6216.7 6311.7 5995.52 4435.27 6425.99 6109.81
1.176E-03 4.910E-02 2.090E-06 4.548E-06 2.305E-06 3.873E-05 2.777E-02 1.852E-02 5.749E-03 2.007E-02 4.201E-06 3.315E-03 1.713E-04 1.217E-06 7.072E-08 2.113E-05 3.474E-03 7.192E-02 2.167E-02 6.958E-06 4.295E-06 9.430E-04 1.105E-01 4.779E-07 1.340E-07 2.748E-07 5.631E-06 1.378E-01 7.994E-03 2.450E-04 3.706E-06 6.651E-04 1.725E-01 1.809E-03 8.833E-02 1.800E-05 5.583E-02 2.404E-03 43
5.417E-04 3.033E-02 4.535E-06 8.593E-06 2.229E-07 3.484E-06 1.742E-02 1.163E-02 4.198E-03 1.544E-02 5.560E-06 1.951E-03 1.006E-04 2.121E-06 6.390E-09 1.961E-06 2.200E-03 4.521E-02 1.534E-02 1.000E-05 6.152E-06 7.351E-04 7.877E-02 6.382E-07 9.743E-08 4.506E-08 5.960E-07 9.495E-02 5.492E-03 2.198E-05 3.320E-07 4.658E-04 1.186E-01 1.347E-03 6.555E-02 2.453E-05 3.764E-02 1.808E-03
1.317E+04 4.771E+05 6.394E+00 1.501E+01 1.565E+02 2.485E+03 2.744E+05 1.751E+05 4.948E+04 1.556E+05 1.148E+01 3.471E+04 1.632E+03 2.451E+00 4.672E+00 1.345E+03 3.255E+04 4.113E+05 1.062E+05 2.808E+01 1.852E+01 5.582E+03 5.619E+05 1.826E+00 5.481E-01 1.080E+01 2.089E+02 7.431E+05 4.117E+04 9.632E+03 1.376E+02 3.589E+03 8.892E+05 9.612E+03 4.236E+05 4.723E+01 3.076E+05 1.197E+04
6.068E+03 2.947E+05 1.387E+01 2.837E+01 1.513E+01 2.235E+02 1.721E+05 1.100E+05 3.613E+04 1.197E+05 1.519E+01 2.043E+04 9.582E+02 4.270E+00 4.222E-01 1.249E+02 2.061E+04 2.585E+05 7.514E+04 4.037E+01 2.653E+01 4.352E+03 4.006E+05 2.439E+00 3.986E-01 1.771E+00 2.211E+01 5.119E+05 2.829E+04 8.643E+02 1.232E+01 2.514E+03 6.114E+05 7.157E+03 3.143E+05 6.438E+01 2.073E+05 9.004E+03
1D
- 3F2 3D - 1D 2 2 3P - 1D 2 2 1D - 1D 2 2 3D - 3D 2 2 3P - 3D 2 2 1D - 3D 2 2 3D - 3P 3 2 3D - 3F 3 2 3D - 1D 3 2 3D - 3D 3 2 3D - 3F 2 3 3P - 3F 2 3 1D - 3F 2 3 3D - 1F 2 3 3P - 1F 2 3 1D - 1F 2 3 3D - 3D 2 3 3P - 3D 2 3 1D - 3D 2 3 3D - 3F 3 3 3D - 1F 3 3 3D - 3D 3 3 3D - 3F 3 4 5 5p 8d - 5p58p 3P - 3S 0 1 3P - 3D 0 1 3P - 1P 0 1 3P - 3P 0 1 3P - 3P 1 0 3P - 1S 1 0 3D - 3P 1 0 3D - 1S 1 0 1P - 3P 1 0 1P - 1S 1 0 3P - 3S 1 1 3P - 3D 1 1 3P - 1P 1 1 2
5 5 5 5 5 5 5 7 7 7 7 5 5 5 5 5 5 5 5 5 7 7 7 7
5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9
4320.97 16929.18 16613 6182.21 16932.36 16616.17 6185.39 6255.23 6369.52 16872.71 16875.88 6344.37 6028.18 4402.6 6454.33 6138.15 4292.64 16979.02 16662.83 6232.05 6287.89 6397.86 16922.54 6212.99
5.802E-07 1.084E-06 4.106E-06 2.511E-02 1.018E-05 8.214E-05 2.440E-02 9.334E-03 4.113E-03 3.397E-07 5.620E-06 1.943E-01 7.664E-04 3.801E-07 1.723E-02 2.090E-01 8.070E-07 1.510E-06 1.612E-05 2.780E-01 4.446E-02 5.024E-02 1.317E-05 3.563E-01
9.120E-07 1.126E-07 3.906E-07 1.754E-02 9.824E-07 7.934E-06 1.696E-02 6.349E-03 2.710E-03 3.195E-08 5.253E-07 1.342E-01 6.395E-04 4.053E-07 1.112E-02 1.473E-01 1.150E-06 1.122E-07 1.524E-06 1.902E-01 3.000E-02 3.260E-02 1.226E-06 2.453E-01
1.445E+00 4.143E+01 1.512E+02 1.281E+05 3.894E+02 3.026E+03 1.246E+05 4.872E+04 2.226E+04 1.290E+01 2.135E+02 7.450E+05 2.654E+03 9.830E-01 6.841E+04 7.502E+05 1.984E+00 4.149E+01 4.264E+02 1.029E+06 1.675E+05 1.960E+05 3.595E+02 1.019E+06
2.272E+00 4.305E+00 1.438E+01 8.943E+04 3.758E+01 2.922E+02 8.654E+04 3.314E+04 1.467E+04 1.213E+00 1.996E+01 5.148E+05 2.214E+03 1.048E+00 4.413E+04 5.288E+05 2.828E+00 3.082E+00 4.033E+01 7.038E+05 1.130E+05 1.272E+05 3.345E+01 7.016E+05
1 1 1 1 3 3 3 3 3 3 3 3 3
3 3 3 3 1 1 1 1 1 1 3 3 3
2366.18 2252.68 8298.83 8334.43 2222.65 8325.58 2863.59 7684.64 13239.16 2690.93 2434.33 2320.83 8230.69
5.398E+00 3.637E-01 4.111E-05 1.048E-03 1.630E-01 5.735E-03 1.164E+01 1.898E-02 3.786E-02 1.091E+01 1.296E+01 3.204E-01 1.928E-03
7.607E-02 7.996E-03 3.855E-08 1.186E-06 2.251E-03 7.044E-06 9.364E-02 2.830E-05 1.363E-05 1.270E-01 1.708E-01 8.276E-03 2.557E-06
2.016E+07 1.231E+06 6.296E+02 1.619E+04 1.790E+05 2.651E+05 2.122E+07 7.475E+05 1.475E+06 1.757E+07 1.707E+07 3.837E+05 2.903E+04
2.841E+05 2.706E+04 5.903E-01 1.831E+01 2.473E+03 3.257E+02 1.707E+05 1.115E+03 5.313E+02 2.045E+05 2.251E+05 9.911E+03 3.851E+01
44
3P
- 3P1 3D - 3S 1 1 3D - 3D 1 1 3D - 1P 1 1 3D - 3P 1 1 1P - 3S 1 1 1P - 3D 1 1 1P - 1P 1 1 1P - 3P 1 1 3P - 3D 1 2 3P - 3P 1 2 3P - 1D 1 2 3D - 3D 1 2 3D - 3P 1 2 3D - 1D 1 2 1P - 3D 1 2 1P - 3P 1 2 1P - 1D 1 2 3P - 3S 2 1 3P - 3D 2 1 3P - 1P 2 1 3P - 3P 2 1 3F - 3S 2 1 3F - 3D 2 1 3F - 1P 2 1 3F - 3P 2 1 1D - 3S 2 1 1D - 3D 2 1 1D - 1P 2 1 1D - 3P 2 1 3D - 3S 2 1 3D - 3D 2 1 3D - 1P 2 1 3D - 3P 2 1 3P - 3D 2 2 3P - 3P 2 2 3P - 1D 2 2 3F - 3D 2 2 1
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5
8266.28 3075.27 2961.77 7589.75 7625.34 13450.84 13337.34 2785.82 2750.23 2380.89 2303.85 8276.23 3021.83 2944.79 7635.29 13397.4 13320.36 2740.28 2524.48 2410.98 8140.54 8176.13 2638.77 2525.27 8026.25 8061.84 13141.96 13028.46 2476.94 2441.34 13145.13 13031.63 2480.12 2444.52 2471.04 2394 8186.08 2585.33
8.493E-05 7.772E-02 9.189E+00 1.005E-02 6.134E-03 8.648E-03 2.395E-02 5.605E+00 2.887E+00 1.166E+00 3.057E+00 7.256E-04 6.699E-01 3.134E-02 1.225E-03 1.582E-04 5.071E-03 5.665E-01 1.127E+01 3.273E+00 8.325E-06 7.282E-03 4.669E-01 1.909E+01 2.615E-03 3.425E-04 2.854E-05 2.865E-03 2.496E+01 1.396E+00 3.858E-04 2.047E-03 2.052E-01 2.640E+01 5.125E-01 1.383E+01 4.895E-03 1.062E+01 45
1.806E-07 7.891E-05 7.585E-02 1.520E-05 7.234E-06 3.035E-06 8.737E-06 6.094E-02 2.491E-02 1.848E-02 3.919E-02 7.294E-07 6.089E-03 2.025E-04 1.342E-06 6.130E-08 1.886E-06 4.913E-03 1.273E-01 3.278E-02 3.923E-08 6.890E-06 9.975E-03 2.223E-01 3.723E-06 2.005E-07 7.830E-08 1.122E-06 3.429E-01 1.526E-02 2.345E-07 6.416E-07 2.851E-03 2.921E-01 8.702E-03 1.621E-01 4.913E-06 1.341E-01
1.290E+03 1.634E+05 1.792E+07 1.287E+05 7.931E+04 3.479E+05 9.474E+05 9.671E+06 4.854E+06 1.470E+06 3.608E+06 6.630E+03 1.360E+06 6.043E+04 9.524E+03 6.311E+03 2.001E+05 9.457E+05 9.583E+06 2.538E+06 1.227E+02 1.082E+05 4.337E+05 1.624E+07 3.746E+04 4.949E+03 6.576E+02 6.487E+04 2.043E+07 1.110E+06 8.892E+03 4.638E+04 1.683E+05 2.104E+07 4.175E+05 1.058E+07 4.376E+04 9.472E+06
2.745E+00 1.659E+02 1.479E+05 1.947E+02 9.352E+01 1.221E+02 3.455E+02 1.052E+05 4.188E+04 2.329E+04 4.625E+04 6.665E+00 1.236E+04 3.904E+02 1.044E+01 2.446E+00 7.439E+01 8.203E+03 1.082E+05 2.542E+04 5.780E-01 1.024E+02 9.266E+03 1.891E+05 5.332E+01 2.898E+00 1.804E+00 2.541E+01 2.806E+05 1.213E+04 5.406E+00 1.453E+01 2.340E+03 2.329E+05 7.089E+03 1.240E+05 4.392E+01 1.196E+05
3F
- 3P2 3F - 1D 2 2 1D - 3D 2 2 1D - 3P 2 2 1D - 1D 2 2 3D - 3D 2 2 3D - 3P 2 2 3D - 1D 2 2 3P - 3D 2 3 3F - 3D 2 3 1D - 3D 2 3 3D - 3D 2 3 3F - 3D 3 2 3F - 3P 3 2 3F - 1D 3 2 1F - 3D 3 2 1F - 3P 3 2 1F - 1D 3 2 3D - 3D 3 2 3D - 3P 3 2 3D - 1D 3 2 3F - 3D 3 3 1F - 3D 3 3 3D - 3D 3 3 3F - 3D 4 3 5 5p 8s - 5p58p 3P - 3S 0 1 3P - 3D 0 1 3P - 1P 0 1 3P - 3P 0 1 3P - 3P 1 0 3P - 1S 1 0 1P - 3P 1 0 1P - 1S 1 0 3P - 3S 1 1 3P - 3D 1 1 3P - 1P 1 1 3P - 3P 1 1 2
5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9
5 5 5 5 5 5 5 5 7 7 7 7 5 5 5 5 5 5 5 5 5 7 7 7 7
2508.29 8071.79 13088.52 13011.48 2431.4 13091.7 13014.66 2434.57 2455.93 2570.22 13073.41 13076.59 2503.71 2426.67 8153.42 2613.67 2536.63 8043.45 13138.36 13061.32 2481.23 2488.6 2598.56 13123.25 2413.69
3.799E-01 1.610E-04 2.221E-03 8.910E-05 3.810E+00 1.465E-03 1.771E-02 3.743E+00 1.423E+00 6.381E-01 1.008E-04 1.691E-03 3.584E+01 1.256E-01 5.076E-03 2.505E+00 3.391E+01 3.702E-04 4.772E-03 2.729E-04 4.315E+01 6.799E+00 7.962E+00 3.957E-03 5.397E+01
1 1 1 1 3 3 3 3 3 3 3 3
3 3 3 3 1 1 1 1 3 3 3 3
9309.98 9196.48 1355.03 1390.63 1457.76 12005.99 9120.51 1427.73 1246.08 1359.58 11911.09 11946.69
7.593E-04 4.323E-06 4.390E+04 2.499E+02 6.569E-05 3.309E-07 3.706E+03 1.867E+01 1.703E+00 4.023E-01 6.951E+05 1.642E+05 3.275E+00 8.134E-01 1.408E+06 3.497E+05 1.730E+00 3.908E-01 2.452E+06 5.540E+05 3.302E-05 1.339E-07 3.175E+03 1.287E+01 3.091E-05 1.316E-07 5.716E+02 2.434E+00 1.768E+00 3.760E-01 2.404E+06 5.112E+05 2.859E-01 9.998E-02 9.871E+04 3.452E+04 4.563E+00 1.153E+00 1.876E+06 4.740E+05 2.111E-05 9.960E-08 6.661E+02 3.142E+00 6.683E-06 3.779E-08 2.121E+02 1.199E+00 46
4.952E-03 1.205E-07 1.129E-06 2.640E-08 4.192E-02 7.837E-07 7.029E-06 4.168E-02 1.551E-02 6.254E-03 3.796E-08 6.494E-07 4.792E-01 2.873E-03 4.641E-06 2.597E-02 3.471E-01 3.866E-07 2.581E-06 1.423E-07 4.634E-01 7.159E-02 7.802E-02 1.504E-06 6.124E-01
3.189E+05 1.399E+03 5.075E+04 2.012E+03 3.004E+06 3.349E+04 4.001E+05 2.960E+06 1.145E+06 5.624E+05 2.298E+03 3.856E+04 2.141E+07 7.046E+04 4.501E+04 1.631E+06 2.079E+07 3.195E+03 7.849E+04 4.436E+03 2.531E+07 4.012E+06 5.123E+06 6.494E+04 2.330E+07
4.156E+03 1.047E+00 2.579E+01 5.961E-01 3.306E+04 1.792E+01 1.588E+02 3.296E+04 1.248E+04 5.511E+03 8.654E-01 1.481E+01 2.862E+05 1.612E+03 4.115E+01 1.691E+04 2.128E+05 3.337E+00 4.246E+01 2.314E+00 2.718E+05 4.225E+04 5.020E+04 2.469E+01 2.644E+05
1P
- 3S1 1P - 3D 1 1 1P - 1P 1 1 1P - 3P 1 1 3P - 3D 1 2 3P - 3P 1 2 3P - 1D 1 2 1P - 3D 1 2 1P - 3P 1 2 1P - 1D 1 2 3P - 3S 2 1 3P - 3D 2 1 3P - 1P 2 1 3P - 3P 2 1 3P - 3D 2 2 3P - 3P 2 2 3P - 1D 2 2 3P - 3D 2 3
3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5
3 3 3 3 5 5 5 5 5 5 3 3 3 3 5 5 5 7
9332.19 9218.68 1332.83 1368.43 1299.51 1376.55 11956.64 9278.75 9201.71 1378.38 1295.06 1408.57 11960.08 11995.68 1348.5 1425.54 12005.63 1363.61
9.770E-04 8.437E-06 3.277E+00 1.649E+00 5.476E+00 2.544E+00 4.315E-04 3.392E-05 6.142E-04 8.179E+00 4.434E+00 3.740E-01 8.477E-05 2.261E-03 2.654E+00 5.836E+00 4.108E-04 1.133E+01
5.104E-06 6.293E-08 7.992E-01 4.224E-01 1.429E+00 6.605E-01 1.539E-06 1.401E-07 3.526E-06 2.067E+00 1.178E+00 7.209E-02 2.854E-07 7.013E-06 6.174E-01 1.356E+00 1.284E-06 2.925E+00
1.892E+04 1.594E+02 1.294E+06 6.865E+05 1.234E+06 6.432E+05 8.229E+03 6.492E+02 1.156E+04 2.073E+06 1.653E+06 1.650E+05 2.696E+03 7.235E+04 6.439E+05 1.582E+06 7.898E+03 2.007E+06
9.884E+01 1.189E+00 3.157E+05 1.759E+05 3.219E+05 1.670E+05 2.935E+01 2.682E+00 6.639E+01 5.238E+05 4.392E+05 3.180E+04 9.078E+00 2.244E+02 1.498E+05 3.677E+05 2.468E+01 5.182E+05
5p54f - 5p57d 3D - 3P 1 0 3D - 3P 1 1 3D - 3D 1 1 3D - 1P 1 1 3D - 3P 2 1 1D - 3P 2 1 3F - 3P 2 1 3D - 3D 2 1 1D - 3D 2 1 3F - 3D 2 1 3D - 1P 2 1 1D - 1P 2 1 3F - 1P 2 1 3D - 3P 1 2 3D - 3F 1 2 3D - 1D 1 2 3D - 3D 1 2 3D - 3P 2 2 1D - 3P 2 2
3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 5 5
1 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5
1649.19 1770.26 2911.79 13121.56 1767.1 1674.92 8929.3 2908.63 2816.44 7787.78 13118.4 13026.21 2421.99 1934.18 2146.37 12554.03 12560.87 1931.02 1838.83
8.525E-02 8.958E-02 3.041E-03 1.894E-04 1.105E-01 6.988E-02 5.731E-04 2.015E-01 2.354E-01 4.057E-03 5.184E-03 2.272E-03 3.742E-01 9.935E-03 4.792E-03 4.379E-06 4.688E-05 9.230E-02 2.237E-02
1.251E-01 1.142E-01 1.419E-03 4.415E-06 1.416E-01 9.930E-02 2.871E-05 9.554E-02 1.187E-01 2.671E-04 1.208E-04 5.363E-05 2.546E-01 1.063E-02 4.145E-03 1.106E-07 1.190E-06 9.918E-02 2.644E-02
1.547E+05 6.242E+04 5.732E+03 7.251E+03 7.670E+04 4.359E+04 6.096E+03 3.790E+05 4.151E+05 3.282E+04 1.984E+05 8.572E+04 4.880E+05 4.958E+03 2.945E+03 9.206E+01 9.868E+02 4.591E+04 1.009E+04
2.270E+05 7.958E+04 2.675E+03 1.690E+02 9.831E+04 6.194E+04 3.053E+02 1.797E+05 2.094E+05 2.161E+03 4.621E+03 2.023E+03 3.321E+05 5.306E+03 2.548E+03 2.326E+00 2.504E+01 4.933E+04 1.192E+04
1
47
3F
- 3P2 3D - 3F 2 2 1D - 3F 2 2 3F - 3F 2 2 3D - 1D 2 2 1D - 1D 2 2 3F - 1D 2 2 3D - 3D 2 2 1D - 3D 2 2 3F - 3D 2 2 3D - 3P 3 2 1F - 3P 3 2 3G - 3P 3 2 3F - 3P 3 2 3D - 3F 3 2 1F - 3F 3 2 3G - 3F 3 2 3F - 3F 3 2 3D - 1D 3 2 1F - 1D 3 2 3G - 1D 3 2 3F - 1D 3 2 3D - 3D 3 2 1F - 3D 3 2 3G - 3D 3 2 3F - 3D 3 2 3D - 3F 2 3 1D - 3F 2 3 3F - 3F 2 3 3D - 1F 2 3 1D - 1F 2 3 3F - 1F 2 3 3D - 3D 2 3 1D - 3D 2 3 3F - 3D 2 3 3D - 3F 3 3 1F - 3F 3 3 3G - 3F 3 3 2
5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 7 7 7
5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7
8765.39 2143.21 2051.03 8553.19 12550.87 12458.68 1854.46 12557.71 12465.52 1861.3 1841.54 1797.32 8762.62 8762.74 2053.74 2009.52 8550.42 8550.55 12461.39 12417.18 1857.23 1857.11 12468.23 12424.01 1864.07 1863.95 1992.02 1899.83 8704.39 2193.16 2100.97 8503.25 12638.72 12546.54 1942.32 1902.54 1858.33 8701.62
5.676E-05 1.643E-04 8.665E-02 7.990E-05 1.788E-06 1.693E-04 2.404E-02 4.074E-04 5.882E-05 2.919E-02 3.538E-01 1.152E-07 8.988E-05 7.202E-04 6.033E-03 4.234E-01 2.154E-04 6.148E-06 2.525E-05 2.276E-04 4.064E-01 4.944E-02 7.578E-04 9.899E-07 6.610E-02 3.837E-01 1.009E-03 6.369E-03 6.025E-06 6.842E-03 2.520E-03 1.561E-06 4.757E-06 1.779E-05 1.584E-03 1.138E-02 8.424E-02 9.322E-07 48
2.963E-06 1.484E-04 8.221E-02 4.358E-06 4.606E-08 4.352E-06 2.789E-02 1.035E-05 1.511E-06 3.377E-02 4.180E-01 2.339E-08 4.713E-06 3.758E-05 5.784E-03 4.189E-01 1.177E-05 3.315E-07 6.559E-07 5.900E-06 4.705E-01 5.714E-02 1.953E-05 2.377E-08 7.638E-02 4.426E-01 1.016E-03 7.046E-03 3.182E-07 5.704E-03 2.292E-03 8.661E-08 1.192E-07 4.519E-07 1.685E-03 1.257E-02 9.740E-02 4.854E-08
5.818E+02 1.007E+02 4.863E+04 7.798E+02 3.758E+01 3.505E+03 1.103E+04 8.571E+03 1.219E+03 1.349E+04 1.600E+05 4.965E-02 6.577E+02 5.270E+03 3.395E+03 2.281E+05 1.501E+03 4.284E+01 5.231E+02 4.681E+03 1.870E+05 2.275E+04 1.571E+04 2.038E+01 3.064E+04 1.778E+05 3.816E+02 2.191E+03 6.089E+01 3.136E+03 1.060E+03 1.505E+01 7.241E+01 2.668E+02 5.696E+02 3.927E+03 2.772E+04 6.726E+00
3.037E+01 9.094E+01 4.614E+04 4.253E+01 9.679E-01 9.011E+01 1.279E+04 2.178E+02 3.132E+01 1.561E+04 1.891E+05 1.008E-02 3.448E+01 2.750E+02 3.254E+03 2.257E+05 8.202E+01 2.310E+00 1.359E+01 1.213E+02 2.165E+05 2.629E+04 4.050E+02 4.895E-01 3.540E+04 2.051E+05 3.842E+02 2.423E+03 3.216E+00 2.614E+03 9.639E+02 8.354E-01 1.814E+00 6.779E+00 6.056E+02 4.335E+03 3.205E+04 3.502E-01
3F
- 3F3 3D - 1F 3 3 1F - 1F 3 3 3G - 1F 3 3 3F - 1F 3 3 3D - 3D 3 3 1F - 3D 3 3 3G - 3D 3 3 3F - 3D 3 3 1G - 3F 4 3 3F - 3F 4 3 3G - 3F 4 3 1G - 1F 4 3 3F - 1F 4 3 3G - 1F 4 3 1G - 3D 4 3 3F - 3D 4 3 3G - 3D 4 3 3D - 3F 3 4 1F - 3F 3 4 3G - 3F 3 4 3F - 3F 3 4 1G - 3F 4 4 3F - 3F 4 4 3G - 3F 4 4 3G - 3F 5 4 5p57d - 5p55f 3P - 3D 0 1 3P - 3D 1 1 3D - 3D 1 1 1P - 3D 1 1 3P - 3D 1 2 3P - 1D 1 2 3P - 3F 1 2 3D - 3D 1 2 3D - 1D 1 2 3D - 3F 1 2 1P - 3D 1 2 3
7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 7 7 7 7 9 9 9 11
7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9
8701.74 2103.68 2059.47 8500.48 8500.6 12549.24 12505.03 1945.09 1944.96 1950.3 1858.29 8701.99 2151.44 2059.43 8500.85 12597.01 12505 1944.71 1767.39 1723.17 8836.77 8836.89 1815.15 1723.14 8837.15 1816.71
4.965E-05 1.130E-01 1.817E-03 1.409E-06 4.956E-05 1.311E-04 8.228E-05 7.358E-03 4.819E-02 5.532E-01 4.263E-02 4.483E-04 8.390E-02 5.395E-01 2.006E-06 5.014E-04 4.676E-05 6.427E-01 4.162E-03 2.271E-03 7.460E-07 7.281E-07 1.710E-02 7.870E-02 9.761E-06 7.339E-01
1 3 3 3 3 3 3 3 3 3 3
3 3 3 3 5 5 5 5 5 5 5
857.23 736.15 405.38 10615.15 738.73 786.35 11398.72 402.8 355.17 10257.2 10612.57
1.440E+00 4.847E-01 2.353E+05 7.920E+04 1.212E+00 5.526E-01 1.460E+05 6.658E+04 1.360E-02 2.071E-02 4.968E+02 7.569E+02 5.014E-03 1.093E-05 1.256E+05 2.739E+02 1.553E+00 7.004E-01 1.130E+05 5.099E+04 1.015E+00 4.071E-01 8.374E+04 3.359E+04 2.863E-02 5.448E-05 4.962E+05 9.443E+02 8.765E-01 1.324E+00 3.162E+04 4.775E+04 1.001E+00 1.956E+00 2.809E+04 5.485E+04 1.587E-01 3.730E-04 2.228E+06 5.236E+03 1.350E-01 2.940E-04 3.380E+06 7.363E+03 49
2.629E-06 1.024E-01 1.724E-03 7.820E-08 2.750E-06 3.335E-06 2.100E-06 7.805E-03 5.108E-02 5.806E-01 4.933E-02 2.374E-05 7.262E-02 5.100E-01 1.113E-07 1.261E-05 1.195E-06 6.812E-01 5.343E-03 3.068E-03 3.832E-08 3.738E-08 2.082E-02 1.063E-01 5.011E-07 8.914E-01
3.582E+02 4.766E+04 7.343E+02 9.699E+00 3.412E+02 1.968E+03 1.226E+03 2.653E+03 1.737E+04 2.005E+05 1.403E+04 2.516E+03 3.701E+04 2.180E+05 1.074E+01 7.581E+03 6.968E+02 2.316E+05 9.636E+02 4.998E+02 5.551E+00 5.418E+00 4.176E+03 1.732E+04 5.649E+01 1.795E+05
1.897E+01 4.318E+04 6.966E+02 5.385E-01 1.893E+01 5.004E+01 3.129E+01 2.814E+03 1.841E+04 2.104E+05 1.623E+04 1.333E+02 3.203E+04 2.061E+05 5.958E-01 1.906E+02 1.780E+01 2.455E+05 1.237E+03 6.752E+02 2.851E-01 2.782E-01 5.085E+03 2.338E+04 2.900E+00 2.180E+05
1P
- 1D2 1P - 3F 1 2 3P - 3D 2 1 3F - 3D 2 1 1D - 3D 2 1 3D - 3D 2 1 3P - 3D 2 2 3P - 1D 2 2 3P - 3F 2 2 3F - 3D 2 2 3F - 1D 2 2 3F - 3F 2 2 1D - 3D 2 2 1D - 1D 2 2 1D - 3F 2 2 3D - 3D 2 2 3D - 1D 2 2 3D - 3F 2 2 3P - 3D 2 3 3P - 1F 2 3 3P - 3F 2 3 3P - 3G 2 3 3F - 3D 2 3 3F - 1F 2 3 3F - 3F 2 3 3F - 3G 2 3 1D - 3D 2 3 1D - 1F 2 3 1D - 3F 2 3 1D - 3G 2 3 3D - 3D 2 3 3D - 1F 2 3 3D - 3F 2 3 3D - 3G 2 3 3F - 3D 3 2 3F - 1D 3 2 3F - 3F 3 2 1F - 3D 3 2 1
3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7
5 5 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5
10564.94 47.43 572.23 360.04 10047.62 10054.46 574.81 622.44 11234.81 362.62 410.24 11022.61 10045.04 9997.41 614.96 10051.88 10004.25 608.12 620.16 642.99 11232.57 11232.72 407.97 430.79 11020.37 11020.52 9999.69 9976.86 612.72 612.87 10006.53 9983.7 605.88 606.03 513.81 561.44 11173.8 312.67
5.100E-02 2.382E-01 9.590E-02 2.607E-02 1.135E-04 1.224E-03 9.146E-01 2.283E-01 3.255E-03 3.150E-04 5.641E-01 1.917E-03 3.739E-05 3.497E-03 2.590E-01 1.091E-02 2.062E-03 3.116E-01 3.894E+00 2.383E-07 4.368E-02 2.547E-03 4.030E-02 2.953E+00 1.583E-03 1.194E-02 6.645E-04 9.673E-03 2.817E-01 4.608E+00 3.007E-02 3.750E-05 4.622E+00 1.595E-01 9.302E-03 6.030E-02 1.397E-04 3.264E-02 50
1.123E-04 2.619E+01 7.215E-02 4.985E-02 2.791E-07 2.984E-06 6.802E-01 1.457E-01 6.343E-06 5.254E-04 8.288E-01 3.905E-06 8.873E-08 8.652E-06 1.695E-01 2.654E-05 5.100E-06 2.073E-01 2.487E+00 6.256E-06 8.494E-05 4.995E-06 5.848E-02 3.930E+00 3.198E-06 2.433E-05 1.614E-06 2.399E-05 1.847E-01 3.034E+00 7.378E-05 1.023E-07 3.090E+00 1.072E-01 8.703E-03 4.729E-02 2.756E-07 8.197E-02
1.266E+06 7.148E+01 6.982E+03 7.513E+02 1.529E+03 1.651E+04 4.031E+04 1.180E+04 5.481E+04 5.526E+00 1.266E+04 3.107E+04 5.033E+02 4.662E+04 1.306E+04 1.471E+05 2.753E+04 1.537E+04 1.427E+05 9.389E-03 5.252E+05 3.063E+04 6.391E+02 5.222E+04 1.832E+04 1.382E+05 8.865E+03 1.284E+05 1.008E+04 1.649E+05 4.017E+05 4.987E+02 1.617E+05 5.583E+03 3.276E+02 2.536E+03 2.327E+03 4.257E+02
2.787E+03 7.859E+03 5.253E+03 1.437E+03 3.758E+00 4.025E+01 2.998E+04 7.530E+03 1.068E+02 9.216E+00 1.861E+04 6.329E+01 1.194E+00 1.154E+02 8.550E+03 3.577E+02 6.809E+01 1.022E+04 9.113E+04 2.465E-01 1.021E+03 6.005E+01 9.275E+02 6.950E+04 3.701E+01 2.816E+02 2.154E+01 3.186E+02 6.606E+03 1.086E+05 9.856E+02 1.360E+00 1.081E+05 3.752E+03 3.065E+02 1.989E+03 4.591E+00 1.069E+03
1F
- 1D2 1F - 3F 3 2 3D - 3D 3 2 3D - 1D 3 2 3D - 3F 3 2 3F - 3D 3 3 3F - 1F 3 3 3F - 3F 3 3 3F - 3G 3 3 1F - 3D 3 3 1F - 1F 3 3 1F - 3F 3 3 1F - 3G 3 3 3D - 3D 3 3 3D - 1F 3 3 3D - 3F 3 3 3D - 3G 3 3 3F - 1G 3 4 3F - 3F 3 4 3F - 3G 3 4 1F - 1G 3 4 1F - 3F 3 4 1F - 3G 3 4 3D - 1G 3 4 3D - 3F 3 4 3D - 3G 3 4 3F - 3D 4 3 3F - 1F 4 3 3F - 3F 4 3 3F - 3G 4 3 3F - 1G 4 4 3F - 3F 4 4 3F - 3G 4 4 3F - 3G 4 5 5p54f - 5p55g 3D - 3F 1 2 3D - 3F 2 2 1D - 3F 2 2 3
7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9
5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 7 7 7 7 9 9 9 11
360.3 10972.66 10132.89 10085.27 527.1 559.16 581.98 11171.57 11171.71 358.02 380.84 10970.43 10970.57 10087.54 10064.72 524.86 525.01 534.81 582.04 11172.01 333.67 380.9 10970.87 10111.89 10064.67 525.3 694.31 717.14 11306.72 11306.87 669.96 717.19 11307.16 668.65
1.330E-02 3.112E-05 1.309E-04 3.801E-04 1.407E-02 1.084E-01 8.582E-01 1.163E-03 7.752E-04 6.292E-01 1.116E-02 7.080E-04 2.571E-04 2.514E-03 2.620E-03 1.659E-01 3.245E-01 4.941E+00 4.238E-01 2.084E-02 4.174E-01 3.273E+00 1.028E-03 1.318E-02 3.516E-03 5.679E+00 5.342E-02 3.098E-02 1.573E-05 7.337E-07 2.096E-01 1.068E+00 1.087E-04 8.836E+00
3 5 5
5 5 5
2536.27 2533.11 2440.92
4.126E+00 3.929E+00 3.541E+06 3.372E+06 4.924E-01 4.701E-01 4.215E+05 4.024E+05 6.286E-01 6.462E-01 4.996E+05 5.136E+05 51
2.518E-02 6.353E-08 3.140E-07 9.226E-07 1.244E-02 8.563E-02 6.265E-01 2.291E-06 1.524E-06 1.205E+00 1.891E-02 1.444E-06 5.249E-07 6.077E-06 6.396E-06 1.478E-01 2.893E-01 4.272E+00 3.088E-01 4.097E-05 9.216E-01 5.536E+00 2.097E-06 3.192E-05 8.550E-06 5.050E+00 2.721E-02 1.481E-02 3.021E-08 1.414E-09 1.149E-01 5.097E-01 2.086E-07 4.850E+00
2.303E+02 4.999E+02 1.281E+03 3.684E+03 5.214E+02 3.230E+03 2.770E+04 1.383E+04 9.219E+03 7.685E+03 1.542E+02 8.119E+03 2.949E+03 2.437E+04 2.529E+04 4.356E+03 8.522E+03 1.047E+05 1.064E+04 1.928E+05 3.444E+03 3.520E+04 9.173E+03 1.285E+05 3.394E+04 1.161E+05 2.454E+03 1.518E+03 1.916E+02 8.938E+00 6.974E+03 4.071E+04 1.030E+03 2.396E+05
4.360E+02 1.020E+00 3.072E+00 8.942E+00 4.612E+02 2.551E+03 2.022E+04 2.724E+01 1.812E+01 1.472E+04 2.613E+02 1.656E+01 6.020E+00 5.892E+01 6.174E+01 3.880E+03 7.598E+03 9.056E+04 7.754E+03 3.790E+02 7.604E+03 5.953E+04 1.871E+01 3.110E+02 8.253E+01 1.033E+05 1.250E+03 7.258E+02 3.680E-01 1.722E-02 3.821E+03 1.943E+04 1.977E+00 1.315E+05
3F
- 3F2 3D - 3F 2 3 3D - 1F 2 3 3D - 3G 2 3 1D - 3F 2 3 1D - 1F 2 3 1D - 3G 2 3 3F - 3F 2 3 3F - 1F 2 3 3F - 3G 2 3 3D - 3F 3 2 1F - 3F 3 2 3G - 3F 3 2 3F - 3F 3 2 3D - 3F 3 3 3D - 1F 3 3 3D - 3G 3 3 1F - 3F 3 3 1F - 1F 3 3 1F - 3G 3 3 3G - 3F 3 3 3G - 1F 3 3 3G - 3G 3 3 3F - 3F 3 3 3F - 1F 3 3 3F - 3G 3 3 3D - 3F 3 4 3D - 1G 3 4 3D - 3H 3 4 3D - 3G 3 4 1F - 3F 3 4 1F - 1G 3 4 1F - 3H 3 4 1F - 3G 3 4 3G - 3F 3 4 3G - 1G 3 4 3G - 3H 3 4 3G - 3G 3 4 2
5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
5 7 7 7 7 7 7 7 7 7 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9
8162.79 2533.12 2555.07 13170.26 2440.93 2462.88 13078.07 8162.78 8140.83 2474.36 2443.63 2399.42 8160.02 8160.14 2443.64 2465.59 13080.78 2399.43 2421.37 13036.56 8160.01 8138.06 2477.13 8160.13 8138.18 2477.01 2465.58 2473.3 13080.76 13080.77 2421.37 2429.09 13036.54 13036.56 8138.07 8130.35 2477.11 2477.12
1.266E-04 6.370E+00 5.662E-03 7.104E-06 8.554E-02 5.958E+00 1.171E-03 2.834E-06 6.109E-04 6.709E+00 4.721E-02 2.593E-02 5.650E-06 5.516E-06 9.470E-01 2.963E-01 6.371E-05 1.154E-03 9.397E-01 8.845E-05 1.767E-05 1.338E-04 7.778E-02 1.635E-04 3.946E-06 5.099E-01 8.059E+00 2.423E-05 3.297E-07 1.713E-03 3.294E-02 8.218E+00 6.779E-04 4.900E-06 6.639E-05 3.259E-04 8.036E+00 1.289E+00 52
1.164E-05 6.081E+00 5.307E-03 2.509E-07 8.797E-02 6.016E+00 4.193E-05 2.607E-07 5.646E-05 6.712E+00 4.842E-02 2.759E-02 5.197E-07 5.075E-07 9.714E-01 2.985E-01 2.281E-06 1.228E-03 9.817E-01 3.188E-06 1.626E-06 1.238E-05 7.763E-02 1.505E-05 3.650E-07 5.090E-01 8.121E+00 2.469E-05 1.178E-08 6.134E-05 3.443E-02 8.531E+00 2.443E-05 1.767E-07 6.140E-06 3.020E-05 8.022E+00 1.287E+00
1.126E+03 3.895E+06 3.523E+03 1.174E+02 4.857E+04 3.444E+06 1.908E+04 2.519E+01 5.401E+03 3.914E+06 3.761E+04 1.992E+04 3.585E+01 3.500E+01 5.388E+05 1.716E+05 1.039E+03 6.329E+02 5.250E+05 1.432E+03 1.121E+02 8.445E+02 4.548E+04 1.038E+03 2.491E+01 2.981E+05 3.631E+06 1.098E+01 4.181E+00 2.173E+04 1.431E+04 3.594E+06 8.539E+03 6.173E+01 4.190E+02 2.053E+03 3.655E+06 5.864E+05
1.035E+02 3.718E+06 3.301E+03 4.147E+00 4.994E+04 3.477E+06 6.834E+02 2.317E+00 4.991E+02 3.916E+06 3.858E+04 2.119E+04 3.298E+00 3.220E+00 5.527E+05 1.729E+05 3.719E+01 6.739E+02 5.485E+05 5.162E+01 1.032E+01 7.810E+01 4.539E+04 9.546E+01 2.304E+00 2.976E+05 3.659E+06 1.120E+01 1.494E-01 7.778E+02 1.496E+04 3.731E+06 3.077E+02 2.225E+00 3.875E+01 1.902E+02 3.648E+06 5.854E+05
3F
- 3F4 3F - 1G 3 4 3F - 3H 3 4 3F - 3G 3 4 1G - 3F 4 3 1G - 1F 4 3 1G - 3G 4 3 3F - 3F 4 3 3F - 1F 4 3 3F - 3G 4 3 3G - 3F 4 3 3G - 1F 4 3 3G - 3G 4 3 1G - 3F 4 4 1G - 1G 4 4 1G - 3H 4 4 1G - 3G 4 4 3F - 3F 4 4 3F - 1G 4 4 3F - 3H 4 4 3F - 3G 4 4 3G - 3F 4 4 3G - 1G 4 4 3G - 3H 4 4 3G - 3G 4 4 1G - 1H 4 5 1G - 1G 4 5 1G - 3H 4 5 3F - 1H 4 5 3F - 1G 4 5 3F - 3H 4 5 3G - 1H 4 5 3G - 1G 4 5 3G - 3H 4 5 3G - 3F 5 4 3G - 1G 5 4 3G - 3H 5 4 3G - 3G 5 4 3
7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 11 11 11
9 9 9 9 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 11 11 11 11 11 11 11 11 11 9 9 9 9
8138.19 8130.47 2476.98 2477 2491.4 2513.35 13128.54 2399.39 2421.34 13036.53 8160.38 8138.44 2476.75 2513.35 2521.07 13128.52 13128.54 2421.34 2429.06 13036.51 13036.53 8138.44 8130.72 2476.73 2476.75 2499.1 2521.07 13128.52 2407.09 2429.06 13036.51 8152.69 8130.72 2476.73 2514.9 2522.62 13130.07 13130.09
8.300E-04 4.117E-05 1.099E+00 7.794E+00 1.304E-06 2.241E-02 3.589E-07 3.487E-02 3.440E-02 3.244E-06 2.811E-06 3.916E-06 9.326E-03 3.475E-04 7.848E-01 5.241E-06 1.108E-08 1.216E+00 2.299E-01 2.035E-05 1.127E-04 1.340E-04 1.115E-05 2.686E-01 3.189E-01 1.138E+01 1.319E-02 1.408E-06 3.394E-04 1.033E+01 8.367E-04 2.666E-07 4.513E-04 1.149E+01 2.778E-02 1.773E-02 1.266E-07 4.145E-07 53
7.676E-05 3.816E-06 1.097E+00 7.781E+00 1.282E-06 2.173E-02 1.275E-08 3.711E-02 3.594E-02 1.169E-07 2.586E-07 3.622E-07 9.313E-03 3.375E-04 7.563E-01 1.862E-07 3.934E-10 1.271E+00 2.387E-01 7.335E-07 4.063E-06 1.239E-05 1.033E-06 2.683E-01 3.185E-01 1.116E+01 1.272E-02 5.005E-08 3.603E-04 1.073E+01 3.016E-05 2.453E-08 4.181E-05 1.147E+01 2.691E-02 1.707E-02 4.499E-09 1.473E-08
5.238E+03 2.594E+02 4.996E+05 3.544E+06 7.712E-01 1.349E+04 5.894E+00 1.913E+04 1.922E+04 5.253E+01 1.387E+01 1.922E+01 5.451E+03 1.627E+02 3.697E+05 6.695E+01 1.415E-01 5.284E+05 1.006E+05 2.563E+02 1.420E+03 6.576E+02 5.462E+01 1.221E+05 1.450E+05 4.311E+06 5.084E+03 1.472E+01 1.192E+02 3.698E+06 8.623E+03 1.313E+00 2.211E+03 4.274E+06 1.302E+04 8.362E+03 1.618E+00 5.297E+00
4.845E+02 2.404E+01 4.988E+05 3.538E+06 7.581E-01 1.308E+04 2.094E-01 2.036E+04 2.008E+04 1.894E+00 1.276E+00 1.778E+00 5.444E+03 1.580E+02 3.562E+05 2.379E+00 5.025E-03 5.521E+05 1.044E+05 9.239E+00 5.118E+01 6.082E+01 5.061E+00 1.220E+05 1.448E+05 4.228E+06 4.903E+03 5.231E-01 1.266E+02 3.839E+06 3.108E+02 1.208E-01 2.049E+02 4.268E+06 1.261E+04 8.049E+03 5.748E-02 1.882E-01
3G
- 1H5 3G - 1G 5 5 3G - 3H 5 5 3G - 3H 5 6 5 5p 5f - 5p55g 3D - 3F 1 2 3D - 3F 2 2 1D - 3F 2 2 3F - 3F 2 2 3D - 3F 2 3 3D - 1F 2 3 3D - 3G 2 3 1D - 3F 2 3 1D - 1F 2 3 1D - 3G 2 3 3F - 3F 2 3 3F - 1F 2 3 3F - 3G 2 3 3D - 3F 3 2 1F - 3F 3 2 3F - 3F 3 2 3G - 3F 3 2 3D - 3F 3 3 3D - 1F 3 3 3D - 3G 3 3 1F - 3F 3 3 1F - 1F 3 3 1F - 3G 3 3 3F - 3F 3 3 3F - 1F 3 3 3F - 3G 3 3 3G - 3F 3 3 3G - 1F 3 3 3G - 3G 3 3 3D - 3F 3 4 3D - 1G 3 4 3D - 3H 3 4 3D - 3G 3 4 5
11 11 11 11
11 11 11 13
2500.65 2522.62 13130.08 2500.65
2.111E-01 9.574E-01 7.157E-06 1.371E+01
2.067E-01 9.216E-01 2.543E-07 1.343E+01
8.003E+04 3.695E+05 7.482E+01 4.399E+06
7.839E+04 3.556E+05 2.659E+00 4.309E+06
3 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
5 5 5 5 7 7 7 7 7 7 7 7 7 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9
29.86 27.28 20.35 10632.21 27.29 49.24 10664.43 20.34 1.61 10616.8 10632.2 10610.25 4.94 18.07 40.89 10629.97 10630.12 18.06 3.89 10619.08 40.88 18.94 10596.25 10629.96 10608.01 7.18 10630.11 10608.16 7.03 3.88 11.6 10619.05 10619.07
7.891E-02 8.987E-03 8.235E-03 7.147E-05 1.110E-01 4.628E-04 5.157E-06 1.554E-03 6.324E-03 2.105E-04 4.248E-07 1.579E-04 2.176E-02 5.665E-04 7.196E-04 6.025E-06 2.809E-07 1.137E-02 7.567E-04 1.279E-05 3.047E-05 1.195E-02 5.880E-05 9.569E-05 2.542E-05 9.367E-04 6.760E-06 6.065E-05 1.792E-03 2.062E-02 4.252E-07 6.999E-08 3.415E-04
2.051E-03 2.939E-04 4.535E-04 1.440E-11 3.758E-03 2.402E-06 1.178E-12 1.080E-04 5.694E-02 4.278E-11 1.649E-13 3.275E-11 2.066E-02 4.293E-05 9.709E-06 1.316E-12 4.927E-14 8.795E-04 1.207E-03 2.950E-12 7.951E-07 7.671E-04 1.193E-11 2.114E-11 5.261E-12 4.665E-04 1.576E-12 1.225E-11 8.462E-04 3.453E-02 2.592E-06 4.800E-16 7.626E-11
9.386E+00 8.922E-01 4.548E-01 1.078E+03 7.876E+00 1.069E-01 5.589E+01 8.571E-02 1.566E-03 2.261E+03 6.406E+00 2.371E+03 5.059E-02 1.763E-02 1.147E-01 6.487E+01 3.025E+00 3.535E-01 1.090E-03 1.374E+02 4.853E-03 4.083E-01 6.291E+02 1.030E+03 2.726E+02 4.599E-03 7.279E+01 6.504E+02 8.441E-03 2.304E-02 4.243E-06 5.849E-01 2.854E+03
2.440E-01 2.918E-02 2.505E-02 2.172E-04 2.667E-01 5.550E-04 1.277E-05 5.960E-03 1.410E-02 4.595E-04 2.487E-06 4.918E-04 4.805E-02 1.336E-03 1.547E-03 1.418E-05 5.305E-07 2.734E-02 1.739E-03 3.169E-05 1.267E-04 2.621E-02 1.276E-04 2.276E-04 5.642E-05 2.291E-03 1.697E-05 1.314E-04 3.985E-03 3.858E-02 2.586E-05 4.011E-09 6.374E-04
54
1F
- 3F4 1F - 1G 3 4 1F - 3H 3 4 1F - 3G 3 4 3F - 3F 3 4 3F - 1G 3 4 3F - 3H 3 4 3F - 3G 3 4 3G - 3F 3 4 3G - 1G 3 4 3G - 3H 3 4 3G - 3G 3 4 1G - 3F 4 3 1G - 1F 4 3 1G - 3G 4 3 3F - 3F 4 3 3F - 1F 4 3 3F - 3G 4 3 3G - 3F 4 3 3G - 1F 4 3 3G - 3G 4 3 1G - 3F 4 4 1G - 1G 4 4 1G - 3H 4 4 1G - 3G 4 4 3F - 3F 4 4 3F - 1G 4 4 3F - 3H 4 4 3F - 3G 4 4 3G - 3F 4 4 3G - 1G 4 4 3G - 3H 4 4 3G - 3G 4 4 1G - 1H 4 5 1G - 1G 4 5 1G - 3H 4 5 3F - 1H 4 5 3F - 1G 4 5 3
7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 11 11 11 11 11
18.94 11.22 10596.23 10596.25 10608.02 10600.3 7.16 7.17 10608.16 10600.44 7.01 7.03 6.29 28.24 10643.43 40.94 18.99 10596.2 10630.4 10608.45 6.74 28.24 35.96 10643.41 10643.42 18.99 11.27 10596.18 10596.2 10608.46 10600.74 6.72 6.73 13.99 35.96 10643.41 33.24 11.27
4.081E-04 6.167E-02 1.206E-04 2.761E-06 2.308E-04 5.167E-06 2.103E-03 4.120E-02 2.903E-05 8.968E-05 3.992E-02 1.511E-03 1.349E-08 4.127E-04 4.701E-07 9.667E-04 4.358E-04 2.144E-06 1.568E-06 2.879E-06 4.122E-05 3.932E-06 1.825E-02 7.063E-06 1.224E-08 1.550E-02 1.712E-03 3.827E-06 7.523E-05 9.752E-05 3.136E-06 1.184E-03 1.409E-03 1.035E-01 2.472E-04 1.344E-06 2.056E-05 7.794E-02 55
3.812E-05 1.144E-02 2.468E-11 7.745E-13 5.070E-11 7.063E-13 1.004E-03 2.034E-02 6.990E-12 1.906E-11 1.882E-02 7.420E-04 3.854E-15 1.175E-05 9.376E-14 1.458E-05 3.013E-05 4.867E-13 3.490E-13 6.485E-13 2.306E-05 3.429E-07 3.251E-04 1.417E-12 1.023E-15 1.087E-03 3.293E-04 9.042E-13 1.685E-11 2.177E-11 6.643E-13 6.663E-04 7.888E-04 1.231E-02 7.540E-06 3.382E-13 1.880E-06 1.552E-02
1.395E-02 7.400E-01 1.003E+03 2.297E+01 2.475E+03 5.532E+01 7.980E-03 1.571E-01 3.113E+02 9.602E+02 1.453E-01 5.528E-03 5.089E-08 3.136E-02 5.075E+00 1.201E-01 1.165E-02 2.294E+01 1.313E+01 2.401E+01 1.783E-04 2.323E-04 1.749E+00 5.930E+01 1.028E-01 4.145E-01 1.612E-02 3.185E+01 6.261E+02 8.134E+02 2.612E+01 3.956E-03 4.733E-03 1.227E+00 1.938E-02 9.234E+00 1.684E-03 7.338E-01
1.303E-03 1.372E-01 2.054E-04 6.445E-06 5.436E-04 7.563E-06 3.811E-03 7.757E-02 7.495E-05 2.041E-04 6.849E-02 2.714E-03 1.454E-14 8.932E-04 1.012E-06 1.811E-03 8.050E-04 5.208E-06 2.923E-06 5.409E-06 9.974E-05 2.026E-05 3.115E-02 1.190E-05 8.588E-09 2.906E-02 3.102E-03 7.524E-06 1.402E-04 1.816E-04 5.533E-06 2.227E-03 2.650E-03 1.460E-01 5.911E-04 2.323E-06 1.539E-04 1.461E-01
3F
- 3H5 3G - 1H 4 5 3G - 1G 4 5 3G - 3H 4 5 3G - 3F 5 4 3G - 1G 5 4 3G - 3H 5 4 3G - 3G 5 4 3G - 1H 5 5 3G - 1G 5 5 3G - 3H 5 5 3G - 3H 5 6 4
9 9 9 9 11 11 11 11 11 11 11 11
11 11 11 11 9 9 9 9 11 11 11 13
10596.18 10622.71 10600.73 6.72 29.54 37.26 10644.72 10644.73 15.29 37.27 10644.72 15.29
1.456E-04 3.897E-07 1.134E-04 5.065E-02 5.303E-04 4.255E-04 1.668E-07 5.461E-07 2.097E-03 2.298E-02 9.428E-06 1.362E-01
56
3.268E-11 3.353E-14 2.515E-11 2.848E-02 1.542E-05 7.781E-06 3.815E-14 1.218E-13 2.277E-04 4.200E-04 2.097E-12 1.479E-02
9.912E+02 3.259E+00 9.441E+02 1.386E-01 3.431E-02 4.380E-02 1.401E+00 4.586E+00 2.975E-02 1.935E+00 6.478E+01 1.635E+00
2.225E-04 2.804E-07 2.095E-04 7.796E-02 9.977E-04 8.008E-04 3.203E-07 1.023E-06 3.229E-03 3.537E-02 1.441E-05 1.774E-01
Table 3: Oscillator strengths in 129Xe I as obtained in the length 𝑓𝑖𝑓(𝑙) and velocity 𝑓𝑖𝑓(𝑣) forms of the electric dipole operator in the Babushkin and Coulomb gauges, respectively: Comparison with previous data. of the electric dipole operator in the Babushkin and Coulomb gauges, respectively: Comparison with previous data. Transition/ Reference
Experimental
Theoretical
𝑓𝑖𝑓
𝑓𝑖𝑓(𝑙)
𝑓𝑖𝑓
𝑓𝑖𝑓(𝑣)
5p6 - 5p57d 1S
0
- 3P1
This work Geiger [42] Chan et al. [43] Delage and Carette [44]
0.003280
0.0217 0.0227 ± 0.0023 0.027
0.002648
0.0190
5p6 - 5p58d 1S
0
- 3P1
This work Geiger [42] Chan et al. [43] Delage and Carette [44] 1S
0
0.001757 0.0096 0.0088 ± 0.0009 0.171
0.001429 0.0155
- 3D1
This work Geiger [42] Chan et al. [43] Delage and Carette [44]
0.138 0.123 0.0967 ± 0.0097 0.171
0.09028 0.123
57
Table 4: Transition rates (106 s ―1) in 129Xe I as obtained in the length 𝐴𝑓𝑖(𝑙) and velocity 𝐴𝑓𝑖(𝑣) forms of the electric dipole operator in Babushkin and Coulomb gauges, respectively: Comparison with previous data. Experimental Transition/Reference
Theoretical 𝐴𝑓𝑖(𝑙)
𝐴𝑓𝑖
𝐴𝑓𝑖
𝐴𝑓𝑖(v)
5p56s – 5p58p 3P
2
― 3D2
This work Sabbagh and Sadeghi [45] 3P
2
0.12642
0.1260
0.1629
0.07482
― 3D3
Sabbagh and Sadeghi [45] 2
0.008376
0.14 ± 0.06
This work
3P
0.02771
0.53 ± 0.06
― 3P2
This work Sabbagh and Sadeghi [45]
0.56 ± 0.06
Table 5: Relativistic Landé 𝑔𝐽-factor and magnetic diploe hyperfine structure constant 𝐴𝑀𝐷[MHz] of levels belonging to the 5g[K]J , 6f[K]J, nd[K]J (7≤ n ≤ 8) , 9s[K]J and 8p[K]J autoionizing Rydberg series for neutral xenon-129 isotope. 58
Designation
LS-Term
𝑔𝐽
𝐴𝑀𝐷
5g [5/2]2
3F
2
0.66598
8.36153E2
5g [5/2]3
3F
3
1.04781
5.97273E2
5g [11/2]5
1H
5
1.01513
― 4.94224E2
5g [11/2]6
3H
6
1.16701
― 4.18178E2
5g [7/2]3
1F † 3
0.86920
30.73939
5g [7/2]4
3F
4
1.12102
23.82331
5g [9/2]4
1G
4
0.96260
― 3.16346E2
5g [9/2]5
1G
5
1.15164
― 2.58824E2
5g' [9/2]4
3H
4
0.85897
― 1.41448E3
5g' [9/2]5
3H
5
1.06699
― 1.15164E3
5g' [7/2]3
3G † 3
0.91603
1.43914E3
5g' [7/2]4
3G
1.15759
1.12625E3
5p55g
4
5p56f 6 f [3/2]1
3D
0.49897
1.25444E3
6 f [3/2]2
3D
2
1.11006
5.41308E2
6 f [5/2]2
1D
2
0.83593
1.57998E2
6 f [5/2]3
3D
3
1.17521
― 32.05943
6 f [7/2]3
1F
3
0.96456
― 4.54859E2
6 f [7/2]4
3F
4
1.02440
― 6.19895E2
6 f [9/2]4
1G
4
1.19211
― 3.42809E2
6 f [9/2]5
3G
5
1.20041
― 5.01779E2
6 f ' [5/2]2
3F
2
0.88706
1.91684E3
6 f ' [5/2]3
3F
3
1.20066
1.43489E3
6 f ' [7/2]3
3G
3
0.82656
― 1.91826E3
6 f ' [7/2]4
3G
4
1.08404
― 1.43892E3
1.32961
1
― 3.9371E2
5p57d 59
7d [1/2]1
3P
1
1.32961
― 3.9371E2
7d [7/2]4
3F
4
1.25051
― 6.27930E2
7d [7/2]3
3F
3
1.07766
― 8.37591E2
7d [3/2]2
3P
2
0.97292
― 7.36793E2
7d [3/2]1
3D
1
0.83533
8.05265E2
7d [5/2]2
3F
2
1.32961
― 3.9371E2
7d [5/2]3
1F
3
1.22695
― 4.92672E2
7d' [5/2]2
1D
2
1.29173
1.78850E3
7d' [5/2]3
3D
3
1.11283
― 1.91662E3
7d' [3/2]2
3D
2
0.75830
― 2.76649E3
7d' [3/2]1
1P
1
0.83515
2.86240E3
8p[1/2]1
3S
1
1.80405
― 1.57692E3
8p[5/2]3
3D
3
1.33401
― 8.38393E2
8p[5/2]2
3D
2
1.11117
― 1.24652E3
8p[3/2]1
3D
1
1.03455
― 1.33851E3
8p[3/2]2
3P
2
1.38935
― 8.54076E2
8p' [3/2]1
1P
1
0.66336
― 5.77315E3
8p' [3/2]2
1D
2
1.16741
― 2.88214E3
8p' [1/2]1
3P
1
1.49999
2.86745E3
9s[3/2]1
3P
1
1.16735
2.07431E3
9s'[1/2]1
1P
1
1.33347
5.79029E3
9s[3/2]2
3P
2
1.50102
1.26951E3
8d [1/2]1
3P
1
1.31972
― 4.18112E2
8d [7/2]4
3F
4
1.25051
― 6.27644E2
8d [7/2]3
3F
3
1.07926
― 8.36024E2
8d [3/2]2
3P
2
0.97499
― 7.30735E2
p58p
5p59s
5p58d
60
8d [3/2]1
3D
1
0.84663
8.31541E2
8d [5/2]2
3F
2
1.30644
― 2.42170E2
8d [5/2]3
1F
3
1.22607
― 4.91471E2
8d' [5/2]2
1D
2
1.29489
1.86257E3
8d' [5/2]3
3D
3
1.11212
― 1.91821E3
8d' [3/2]2
3D
2
0.75766
― 2.83236E3
8d' [3/2]1
1P
1
0.83375
2.87094E3
Table 6: Comparison of relativistic Landé 𝑔𝐽-factor of some levels with previous experimental and theoretical results. 61
Designation LS-Term
Experimental work
Theoretical work
5p56f 6 f [3/2]1
3D
1
This work NIST [27] 6 f [3/2]2
0.49897 0.50 3D
2
This work
1.11006
NIST [27] 6 f [5/2]2
1.09 1D
2
This work
0.83593
NIST [27] 6 f [5/2]3
0.87 3D
3
This work
1.17521
NIST [27]
1.17
5p57d 7d [1/2]1
3P
1
This work
1.32961
Coulombe and Sinzelle [29] 7d [7/2]4
3F
1.273
1.295
4
This work
1.25051
NIST [7]
1.217
Coulombe and Sinzelle [29]
1.217
7d [7/2]3
3F
1.250
3
This work
1.07766
NIST [27]
1.026
Coulombe and Sinzelle [29]
1.026
7d [3/2]2
3P
1.049
2
This work
0.97292
NIST [27]
1.196
Coulombe and Sinzelle [29]
1.196
0.968 62
7d [3/2]1
3D
1
This work
0.83533
NIST [27]
0.819
Coulombe and Sinzelle [29]
0.819
7d [5/2]2
3F
0.799
2
This work
1.31102
NIST [27]
1.073
Coulombe and Sinzelle [29]
1.073
7d [5/2]3
1F
1.302
3
This work
1.22695
NIST [27]
1.263
Coulombe and Sinzelle [29]
1.263
7d' [5/2]2
1D
1.258
2
This work
1.29173
Coulombe and Sinzelle [29]
1.292
7d' [5/2]3
3D
3
This work
1.11283
Coulombe and Sinzelle [29]
1.113
7d' [3/2]2
3D
2
This work
0.758295
Coulombe et al. [29]
0.759
7d' [3/2]1
1P
1
This work
0.83515
Coulombe and Sinzelle [29]
0.824
5p58p 8p[1/2]1
3S
1
This work
1.80405
NIST [27] 8p[5/2]3
1.801 3D
3
This work
1.33401 63
Chenevier and Moskowitz 46]
1.329 ± 0.002
Moore [47]
1.272
NIST [27]
1.329
8p[5/2]2
3D
2
This work
1.11117
NIST[27] 8p[3/2]1
1.103 3D
1
This work
1.03455
NIST [27] 8p[3/2]2
1.036 3P
2
This work
1.38935
Chenevier and Moskowitz [46]
1.383 ± 0.002
NIST [27]
1.383
Moore [47]
1.395
8d [1/2]1
3P
1
This work
1.31972
NIST [27] 8d [7/2]4
1.18 3F
4
This work
1.25051
NIST [27] 8d [7/2]3
1.236 3F
3
This work
1.07926
NIST [27] 8d [3/2]2
1.076 3P
2
This work
1.30644
NIST [27] 8d [3/2]1
1.303 3D
1
This work
0.84663
NIST [27] 8d [5/2]2
0.914 3F
2
64
This work
0.97499
NIST [27] 8d [5/2]3
0.987 1F
3
This work NIST [27]
1.22607 1.246
Table 7: Comparison of the relativistic hyperfine coupling constant 𝐴𝑀𝐷 of some levels with other experimental and theoretical results. 65
Designation / LS-Term
Experimental work
Theoretical
5p56f 6f[3/2]2 3D2 5.41308E2
Present work Kono et al. [48]
6.51 E2 ± 20
5p57d 7d [1/2]1 3P1 ― 3.9371 E2
Present work
8.10714E2
Coulombe and Sinzelle [29] Jackson and Coulombe [49]
7.17804 E2 ± 15
7d [7/2]4 3F4 Present work
― 6.27930E2
Coulombe and Sinzelle [29]
― 6.33885E2
Jackson and Coulombe [49]
― 6.32387 E2 ± 15
7d [7/2]3 3F3 Present work
― 8.37591 E2
Coulombe and Sinzelle [29]
― 9.62067E2
7d [3/2]2 3P2 Present work
― 7.36793 E2
Coulombe and Sinzelle [29]
― 5.06509 E2
Jackson and Coulombe [49]
― 4.49564 E2 ± 15
7d [3/2]1 3D1 Present work
8.05265E2
Coulombe and Sinzelle [29]
― 0.79422 E2
Jackson and Coulombe [49]
0.0 ± 30
7d [5/2]2 3F2 ― 2.33229 E2
Present work
― 2.62246 E2
Coulombe and Sinzelle [29] 66
Jackson and Coulombe [49]
― 2.73370 E2 ± 6
7d [5/2]3 1F3 Present work
― 4.92672 E2
Coulombe and Sinzelle [29]
― 5.33483 E2
7d' [5/2]2 1D2 Present Work
1.78850 E3
Coulombe and Sinzelle [29]
1.85820 E3
7d' [5/2]3 3D3 Present work
― 1.91662E3
Coulombe and Sinzelle [29]
― 1.96759 E2
7d' [3/2]2 3D2 Present work
― 2.76649 E3
Coulombe and Sinzelle [29]
― 2.85547 E3
7d' [3/2]1 1P1 Present work
2.86240 E3
Coulombe and Sinzelle [29]
2.93415 E3
5p58p 8p[1/2]1 3S1 ― 1.57692E3
Present work Geisen et al. [50]
― 1.560 E3 ± 2
5p5 8d 8d [1/2]1 3P1 ― 4.18112E2
Present work Jackson and Coulombe [49]
― 7.43279E2 ± 24
Brandi et al. [51]
― 5.79 E2 ± 6
8d [3/2]1 3D1 8.3154 E2
Present Work Brandi et al. [51]
9.13 E2 ± 23
8d [3/2]2 3P2 67
― 2.42170E2
Present Work Jackson and Coulombe [49]
― 1.94811 E2 ± 15
68
Ola Hassouneh, Wa'el Salah, Sajeda Bathish PII: DOI: Reference:
S2211-3797(19)32790-1 https://doi.org/10.1016/j.rinp.2019.102864 RINP 102864
To appear in:
Results in Physics
Received Date: Accepted Date:
16 September 2019 7 December 2019
Please cite this article as: Hassouneh, O., Salah, W., Bathish, S., Atomic data of 5g[K] J , 6f[K] J , nd[K] J (n = 7, 8), 8p[K] J and 9s[K] J autoionizing Rydberg series of 129Xe I, Results in Physics (2019), doi: https://doi.org/10.1016/ j.rinp.2019.102864
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© 2019 The Authors. Published by Elsevier B.V.
Atomic data of 5g[K]J, 6f[K]J, nd[K]J (n = 7, 8), 8p[K]J and 9s[K]J autoionizing Rydberg series of 129Xe I Ola Hassouneh†, Wa’el Salah*‡, Sajeda Bathish‡ † Department of Physics, The University of Jordan, Amman 11942, Jordan ‡ Department of Physics, The Hashemite University, Zarqa 13115, Jordan Abstract The energy levels, oscillator strengths, transition rates, Landé 𝑔𝐽-factors and magnetic dipole hyperfine constant for the 5g[K]J, 6f[K]J, nd[K]J (n = 7, 8), 8p[K]J and 9s[K]J autoionizing Rydberg series of
129Xe
have been computed. The computations, were carried out relative to the
ground state in the multiconfiguration Dirac-Hartree-Fock framework. Owing to restrictions imposed by electric dipole selection rules, the transitions from the ground state to the levels 8p, 5g and 6f levels are forbidden, therefore we computed all the 5p5(2P)6p-5p5(2P)8d, 5p5(2P)7p5p5(2P)nd (n =7, 8), 5p5(2P)5d-5p5(2P)8p, 5p5(2P)ns-5p5(2P)8p (n = 6, 7, 8) , 5p5(2P)6d-5p5(2P)8p, 5p5(2P)nd-5p5(2P)8p (n = 7, 8), 5p5(2P)nf-5p5(2P)7d (n = 4, 5) and 5p5(2P)nf-5p5(2P)5g (n = 4, 5) oscillator strengths and transition rates. In order to check the accuracy of the obtained data, the current theoretical results are compared with other earlier experimental and theoretical data available in the literature. In general, a high level of agreement has been observed for most of the levels. The present data is a continuation of our previous theoretical data calculated for
129Xe
I
(W. Salah, O. Hassouneh, Results in Physics, 12, 153 (2019)). Keywords: Atomic structure, Atomic energy level, Dirac Hamiltonian in atomic theory, Oscillator strengths, Radiative transition rates, Landé 𝑔𝐽-factor, Hyperfine constants. *Corresponding author: Email: [email protected]
1
1.
Introduction
Excluding helium, the ground state of noble gases owns a np6 closed shell configuration with n = 2, 3, 4, 5, 6 and 7 for neon, argon, krypton, xenon, radon and oganesson, respectively. Their onephoton excitation spectra display Rydberg series that converging towards two distinctive and adjacent ionization limits. In the xenon case, the ionization limits are np5(2P3/2) ( I3/2 = 97833.7 cm-1) and np5(2P1/2) (I1/2 = 108370.8 cm-1) [1]. For that reason, they have been a subject of extensive theoretical as well as experimental studies as showed by [2-3] for argon, [4] for krypton and [5] for xenon and the references therein. The jlk or Racah-coupling Scheme [6] prevails the energy terms of the excited states of inert gases. Even with a wealth of accurate experimental spectral data and particularly for the Rydberg series of even parity in inert gases, the knowledge of these data for the levels situated between the two limits of ionization as well as autoionizing levels is suffering from scarceness as was showed in our previous papers [2-5]. In an effort to overcome this scarcity in the spectral lines, we recently published a set of papers containing a complete set of spectral data for argon [2-3] and krypton [4]. The set of spectral data composed of energy levels, transition rates, oscillator strengths, magnetic dipole and electric quadrupole hyperfine constants and the Landé 𝑔𝐽-factors. In our recent paper [5], we reported a detailed spectral data for the levels belonging to the 6s[k]J, 4f [k]J, 5d[k]J, 6p[k]J, 7s[k]J, 5f [k]J, 6d[k]J, 7p[k]J and 8s[k]J
intermediate Rydberg series in
neutral 129Xe. Also, we computed all the 5p5(2P)5d-5p5(2P)nf (4 ≤ n ≤ 5), 5p5(2P)5d-5p5(2P)np (6 ≤ n ≤ 7), 5p5(2P)6s-5p5(2P)np (6 ≤ n ≤ 7), 5p5(2P)7s- 5p5(2P)6p, 5p5(2P)6d-5p5(2P)nf (4 ≤ n ≤ 5), 5p5(2P)6d - 5p5(2P)np (6 ≤ n ≤ 7), 5p5(2P)7s-5p5(2P)7p and 5p5(2P)8s-5p5(2P)np (6 ≤ n ≤ 7) oscillator strengths and transition rates. The calculations were performed through Multiconfiguration-Dirac-Hartree-Fock (MCDHF) method. All effects produced by the relativistic configuration interaction (RCI), correlations between valence electrons and corevalence electrons and core polarizations are considered. Also, corrections due to the Breit and quantum electrodynamics (QED) along with the effect of nuclear charge distribution are also considered in the calculations. With the purpose of improvement and completing the data set of spectral lines for
129Xe
I, we
devote this paper. In this paper, the spectral data for the levels generating from the 5g[K]J, 6f[K]J nd[K]J (n = 7, 8), 8p[K]J and 9s[K]J autoionizing Rydberg series of 129Xe I is performed in the 2
MCDHF framework. Also, we computed all the 5p5(2P)6p-5p5(2P)8d, 5p5(2P)7p-5p5(2P)nd (n =7, 8), 5p5(2P)5d-5p5(2P)8p, 5p5(2P)ns-5p5(2P)8p (n = 6, 7, 8) , 5p5(2P)6d-5p5(2P)8p, 5p5(2P)nd5p5(2P)8p (n = 7, 8), 5p5(2P)nf-5p5(2P)7d (n = 4, 5) and 5p5(2P)nf-5p5(2P)5g (n = 4, 5) oscillator strengths and transition rates. These data are required to improve our knowledge of atomic structure on the one hand, and to satisfy specific requirements in different research area of physics; in particular the determination of astrophysical abundance [7], plasma diagnostics [8] as well as processes of optical excitation [9-11], on the other hand. 2. Basic notation from the relativistic atomic structure theory The method described below has been presented earlier in references [2-5]. Here we give only a short representation of the basic equations which present the framework of the MCHDF method. 2.1 The Multiconfiguration Dirac-Hartree-Fock method The computation of spectral data was performed by the General Relativistic Atomic Structure Package GRASP2K code [12] in which the MCDHF method is not only implemented but also can be executed [13]. The atomic state wavefunction (ASF) of parity Π, total angular momentum J and 𝑀𝐽 are built from the configuration state wave functions (CSFs)
|𝛾, Π, 𝐽, 𝑀𝐽 >
𝑁
|
(1)
𝐶𝑆𝐹 = ∑𝑟 = 𝑐 𝛾 , Π, 𝐽, 𝑀𝐽 > 1 𝑟 𝑟
with 𝑁𝐶𝑆𝐹 refers to the number of CSFs, 𝛾𝑟 represents any additional quantum number required to complete the description of both ASF and CSFs and {𝑐𝑟} specifies the representation of the atomic state in this basis [14]. The CSFs are produced from antisymmetrized products of a complete set of orthonormal orbitals which are enhanced on the Coulomb-Dirac Hamiltonian bases 𝑁
𝑁―1 𝑁
𝐻 = ∑𝑖 = 1(𝑉(𝑟𝑖) 𝐼 + (𝛽 ― 𝐼 )𝑐2 + 𝑐 𝛼 ∙ (𝑃𝑖 + 𝐴(𝑟𝑖)) + ∑𝑖 = 𝑗 ∑𝑗 = 𝑖 + 1𝐻𝐵𝑖𝑗
(2)
with 𝐻𝐵𝑖𝑗 =
1 𝑟𝑖𝑗
𝑁
― ∑𝑖 <𝐶𝑆𝐹𝑗 (
𝛼𝑖 ∙ 𝛼𝑗 𝑟𝑖𝑗
cos (𝜔𝑖𝑗𝑟𝑖𝑗 /𝑐) + 𝑐2 (𝛼𝑖 ∙ ∇ )(𝛼𝑗 ∙ ∇ )
3
cos (𝜔𝑖𝑗 𝑟𝑖𝑗/𝑐) ― 1 𝜔2𝑖𝑗 𝑟𝑖𝑗
)
(3)
where 𝐻𝐵𝑖𝑗 is the Breit operator of electron-electron interaction, c = 137 is the speed of light , 𝑉
(𝑟𝑖) being the electric scaler potentials due to the electron-nucleus interaction and 1/𝑟𝑖𝑗 is the electric potential due to the electron-electron interaction, 𝐴(𝑟) is the magnetic vector potential, 𝑃 is the electron’s momentum operator, 𝛼 an 𝛽 are Dirac matrices [15], 𝐼 is the identity matrix, 𝜔𝑖𝑗 is the angular frequency of the photon, which the two electrons exchanging, and ∇ is the gradient operator acting only on the the inter-electronic radial space. The central field model of atoms assumes that the electrons move in a central potential, thereupon, the first summation of equation (2) reduces to single-electron Dirac Hamiltonian [16] 𝐻𝐷(𝑖) = 𝑐 𝛼 ∙ 𝑃𝑖 + (𝛽𝑖 ― 𝐼 )𝑐2 + 𝑉𝑁(𝑟) 𝐼
(4)
where 𝑉𝑁(𝑟) is the nuclear attraction potential at a distance r. The nucleus of charge Z modeled as a point or finite-size charge. In this model, the charge of nucleus of atomic mass A is assumed to be uniformly distributed over a sphere of radius 𝑅𝑛 = 2.022 × 10 ―5 𝐴1/3 . Under these circumstances, the electric potential for a nucleus of charge Z can be written in analytical form as 𝑉𝑁(𝑟) =
{
𝑧
(
― 2𝑅𝑛 3 ―
( ) ), 𝑟 2
𝑟 ≤ 𝑅𝑛
𝑅𝑛
―𝑍/𝑟 ,
(5)
𝑟 > 𝑅𝑛
Worthy to note that the second derivative of this potential has a point of discontinuity at the nuclear boundary. However, the present version of GRASP2K deal with the nuclear boundary as a grid point, thereby cancelling any numerical instabilities. The diagonalization of the Dirac-Coulomb-Breit Hamiltonian matrix yields the energy for the levels under consideration. 2.2 Radiative transition rates per second and oscillator strengths The relativistic transition rates 𝐴𝑓𝑖 for the electric dipole transition 𝐸1 from the excited state f to the initial state i is given in terms of the reduced matrix elements 𝑀𝑖𝑓[14-15] 𝐴𝑓𝑖 = 2 𝛼 𝜔𝑖𝑓
2𝑗𝑖 + 1 2𝐿+1
(
𝑗𝑓 𝐿 1/2 0
2
) |𝑀 |
𝑗𝑖 ―1/2
where 𝑀𝑖𝑓 is the reduced matrix elements 4
𝑖𝑓
2
(6)
{
(1) 𝑀(𝑒) 𝑖𝑓 + 𝐺 𝑀𝑖𝑓 𝑓𝑜𝑟 𝑒𝑙𝑒𝑐𝑡𝑟𝑖𝑐 𝑚𝑢𝑙𝑡𝑖𝑝𝑜𝑙𝑒 𝑡𝑟𝑎𝑛𝑠𝑖𝑡𝑖𝑜𝑛𝑠 𝑀𝑖𝑓 = 𝑀(𝑚) 𝑓𝑜𝑟 𝑚𝑎𝑔𝑛𝑒𝑡𝑖𝑐 𝑚𝑢𝑙𝑡𝑖𝑝𝑜𝑙𝑒 𝑡𝑟𝑎𝑛𝑠𝑖𝑡𝑖𝑜𝑛𝑠 𝑖𝑓
(7)
with G is the gauge parameter 𝐺=
{
0, 𝐶𝑜𝑢𝑙𝑜𝑚𝑏 𝑔𝑎𝑢𝑔𝑒
(8)
𝐿+1 𝐿
, 𝐵𝑎𝑏𝑢𝑠ℎ𝑘𝑖𝑛 𝑔𝑎𝑢𝑔𝑒
and 2𝐿 + 1
𝑙+1 𝑀(𝑚) 𝑖𝑓 = (𝑖)
𝐿 (𝐿 + 1) 𝐿
𝐿 𝑀(𝑒) 𝑖𝑓 = (𝑖) [
𝐿+1
(9)
((𝜅𝑖 ― 𝜅𝑓) 𝐼𝐿++ 1(𝜔𝑖𝑓) + (𝐿 + 1)𝐼𝐿―+ 1(𝜔𝑖𝑓))
𝐿+1
―
(𝜅𝑓 + 𝜅𝑖) 𝐼𝐿+ (𝜔𝑖𝑓)
𝐿
((𝜅𝑖 ― 𝜅𝑓) 𝐼𝐿+― 1(𝜔𝑖𝑓) ― 𝐿 𝐼𝐿―― 1 )]
(10)
𝐿 + ― 𝑀(1) 𝑖𝑓 = (𝑖) [ (𝜅𝑖 ― 𝜅𝑓) 𝐼𝐿 + 1(𝜔𝑖𝑓) + (𝐿 + 1)𝐼𝐿 + 1(𝜔𝑖𝑓)
+ ((𝜅𝑖 ― 𝜅𝑓) 𝐼𝐿+― 1(𝜔𝑖𝑓)𝐿 𝐼𝐿―― 1) + (2𝐿 + 1)𝐽𝐿 ]
(11)
with
∞
𝜔𝑖𝑓
( 𝑟)( 𝑃
∞
𝐼𝐿± = ∫0 𝑗𝑙
𝑐
𝜔𝑖𝑓
( 𝑟)( 𝑃
𝐽𝐿 = ∫0 𝑗𝑙
𝑛𝑖 𝜅𝑖
𝑐
𝑛𝑖 𝜅𝑖
(𝑟) 𝑄𝑛𝑓 𝜅𝑓 (𝑟) ± 𝑄𝑛𝑖 𝜅𝑖 (𝑟) 𝑃𝜅(𝑟))𝑑𝑟 (𝑟) 𝑃𝑛𝑓 𝜅𝑓 (𝑟) + 𝑄𝑛𝑖 𝜅𝑖 (𝑟) 𝑄𝑛𝑓 𝜅𝑓 (𝑟))𝑑𝑟
(12) (13)
where 𝑗𝑙 is the first kind spherical Bessel function. The oscillator strengths 𝑓𝑖𝑓 is linked to the transition rates 𝐴𝑓𝑖 for electric dipole transitions in SI units by 𝐴𝑓𝑖 =
2𝜋 𝑒2
𝑔𝑖
𝑚𝑒 𝑐 𝜖0 𝜆 𝑔𝑓 2
(14)
𝑓𝑖𝑓
Here e and 𝑚𝑒 being the electron charge and mass, respectively, c is the speed of light, 𝑔𝑖 and 𝑔𝑓 denote the statistical weight of the initial and final levels, respectively, 𝜖0 is the free space permittivity and 𝜆 is the wavelength transition.
5
2.3 Formalism of electron-nucleus (hyperfine) interaction In relativistic framework, the hyperfine structure of the atomic energy levels arising from the interaction between the electrons and the electromagnetic multipole moments of the nucleus [3]. The contribution of this interaction to the Hamiltonian can be achieved by a multipole expansion of order k 𝐻ℎ𝑓𝑠 = ∑𝑘 ≥ 1𝑇(𝑘) ∙ 𝑀(𝑘)
(15)
where 𝑇(𝑘) and 𝑀(𝑘) are spherical tensor operator of rank k ≥ 1 representing the electronic and nuclear part of the interaction, respectively [3]. The terms with k = 1 and 2 represent the magnetic dipole and the electric quadrupole interaction parts of the hyperfine interaction [3]. The hyperfine structure of an atom is usually presented on the {|𝐽 𝐼 𝐹 𝑀𝐹 > } fine structure basis, where F is the hyperfine quantum number of the total angular momentum 𝐹 = 𝐽 + 𝐼 and I is the nuclear angular momentum. F, I and J are always considered as a good quantum number. The matrix elements of 𝐻ℎ𝑓𝑠 over states with different J are neglected. Under these conditions, the hyperfine energy of the magnetic dipole and electric quadrupole interactions is given by 𝐸ℎ𝑓𝑠 =
𝐴𝑀𝐷 2
𝐶+
𝐵𝐸𝑄 ( 3 𝐶 (𝐶 + 1) ― 4𝐽 (𝐽 + 1)𝐼 ( 𝐼 + 1)) 8
𝐽 (2𝐽 ― 1)𝐼 (2𝐼 ― 1)
(16)
with 𝐶 = 𝐹(𝐹 + 1) ―𝐼 (𝐼 + 1) ―𝐽 ( 𝐽 + 1)
(17)
The nuclear magnetic dipole moment 𝜇𝐼 and the electric quadrupole moment Q contribute to the magnetic dipole 𝐴𝑀𝐷 and the electric quadrupole 𝐵𝐸𝑄 hyperfine constants [17-18], this results in 𝐴𝑀𝐷 =
𝜇𝐼 𝐼
(𝐽 (𝐽 + 1)(2 𝐽 + 1)) ―1/2 < J || 𝑇(1)|| J > 2𝐽 ( 2𝐽 ― 1)
𝐵𝐸𝑄 = 2𝑄 [ (2𝐽 + 1) ( 2𝐽 + 2)( 2𝐽 + 3)]
1/2
< 𝐽 ||𝑇(2)|| 𝐽 >
(18) (19)
However, there are restrictions on which electric quadrupole moment Q can be experimentally measured [3]. The experimental optical measurements are only sensitive to the quadrupole interaction as long as the nuclear spin I and the total angular momentum J are both ≥ 1. For any nuclear state which violate this condition, there will be no hyperfine 𝐵𝐸𝑄 constants to deal with. 6
The Landé 𝑔𝐽-factor of the levels in hand is 𝑔𝐽 =
2
𝑁
𝐽((𝐽 + 1))
2
(1)
< 𝛾𝑟 , Π, 𝐽||∑𝑗 = 1[ ― 𝑖 2 𝛼2 𝑟𝑗 (𝛼𝑗 𝐶(1) 𝑗 )
1
+ 2 (𝑔𝑠 ― 2) 𝛽𝑗∑𝑗] ||𝛾𝑟 , Π, 𝐽 >
(20)
with 𝑔𝑠 being the 𝑔-factor of the electron spin
(
𝑔𝑠 = 2 1 + where 𝑖 =
𝛼
2 𝜋 ― 0.328 478 695
𝛼 2
() 𝜋
+ (1.49 ± 0.2)
𝛼 3
( )) 𝜋
(21)
1
―1, ∑𝑗is the relativistic spin matrix [19] and 𝛼 = 137.0357999074 is the fine structure
constant. 3.
Results and discussions
3.1 Computational approach We have used the GRASP2K code to generate reliable numerical data for the energy levels, transition rates, oscillator strengths, hyperfine constants and Landé 𝑔𝐽-factors for many levels belonging to 5g[K]J, 6f[K]J, nd[K]J (n = 7, 8), 8p[K]J and 9s[K]J autoionizing Rydberg series of neutral xenon-129 isotope. The levels with different angular momentum are arranged in two groups of even and odd parity . The methodology of calculations is described elsewhere in details in our recent paper [5] and will not be given here in order to avoid repetition. The most important remarks in the present calculations, arising from the treatment of the valence electron in the outer shell. The 8d wave function is far away from the nucleus than the 5g, 6f, 7d and 8p wave function, whereas, the 6f-shell is closer to the nucleus than the 7d, 8p and 8d shells. The difficulty results from the treatment of the Rydberg electron in the valance shell which considered as open shell, whereas in some cases the closed shells have to be involved in the calculations [16], [20]. For that reason, the complete set of bases for the MCDHF expansion was built from one configuration state wave functions (CSFs). For heavier atom like xenon, the effect of the nuclear size must be involved in the calculations and therefore a fully relativistic treatment cannot be avoided. For that, the Dirac–Coulomb Hamiltonian is the proper Hamiltonian for oneelectron orbitals. Thusly, orbitals with high occupations are spectroscopic ones and must be taken into account. The basis state was constructed from single and double electron excitation from the ground state to various destination set. In the n = 5 active space, the destination set was {5d, 5f, 5g, 6p, 6d, 6f}. In the n = 6 active space, the destination set was {5d, 5f, 5g, 6p, 6d, 6f, 6g, 6h, 7s, 7
7p, 7d}, whereas in the n = 7 and 8 active space, the destination set was {5d, 5f, 5g, 6p, 6d, 6f, 6g, 6h, 7s, 7p, 7d, 7f, 7g, 7h, 7i, 8s, 8p, 8d} and {5d, 5f, 5g, 6p, 6d, 6f, 6g, 6h, 7s, 7p, 7d, 7f, 7g, 7h, 7i, 8s, 8p, 8d, 8f, 8g, 8h, 8i, 8k, 9s, 9p, 9d}, respectively. In the n = 9 active space, only {9s} orbital was considered. Because of that, we control the convergent of our numerical results by using a step wise increasing of the orbital set. As soon as the radial wave functions are obtained, corrections due to the frequency-dependent Breit interaction, vacuum polarization and self-energy correction were involved in the calculation of the matrix elements of the Dirac-Coulomb-Breit Hamiltonian. The diagonalization of this matrix enables us to determine the expansion coefficients 𝑐𝑟 of the CSF. Self-consistency optimization of the Radial functions and the corresponding expansion coefficients were performed by using the multiconfiguration self-consistent field (MCSCF) approach [21]. At this stage, we used the iterative technique of Davidson[22] in order to determine the eigenvalues and eigenvectors. Once these eigenvectors are determined, the allowed transition data between levels of opposite parities are calculated upon the electric-dipole transition rules. In Racah coupling scheme, these rules are as follows: ∆ J = 0, ± 1, ∆ j = 0, ∆ k = 0, ± 1 and ∆ l = ± 1. However, these rules are violated by transitions with change of the ionic core and transitions with ∆ l = 3 as reported by Rundel et al. [23] and Stebbings et al. [24]. Used for the calculation of energy levels of 129Xe I, an appropriate list of CSFS was constructed; depending on the notion of excitations from subshells to an active set of orbitals, i.e the active set method. By keeping all orbital subshells active, we considered an allowed single and double 2
excitation from [𝐾𝑟]4𝑑105𝑠25𝑝5( 𝑃𝑜) reference configuration, to one of the 5g, 6f, 7d, 8p, 9s and 8d relativistic orbitals under consideration. Due to the fact that many transitions of interest take place among levels which are situated between the two limits of ionization of
129Xe
I, the core-polarization and electron correlation effects are
included in the calculation. Thereupon, the ASFs are expanded over even 5s25p5 n'l' configuration states and one set of orbitals is optimized each time due to the stability of the GRASP2K code. The hyperfine structure constants and the Landé g-factors are calculated to first order in the MCDHF framework. However, the deformation of electron shell by nuclear moments are not considered in the calculations [25-26]. The appropriate wave functions | 𝐽, 𝑀𝐽 > used in MCDHF composed from all possible jj-coupled states that arising from the 5p5nl electronic configurations. 8
We used these wave functions in order generate the | 𝐼, 𝐽, 𝐹, 𝑀𝐹 > eigenstates of the hyperfine Hamiltonian. 3.2 Relativistic calculation of energy levels The MCDHF calculated values obtained in this work for the levels originating from the 5g[K]J, 6f[K]J, nd[K]J (n = 7, 8), 9s[K]J and 8p[K]J autoionizing Rydberg series of neutral xenon-129 isotope are given in table 1. In this table, comparison is made with other experimental and theoretical values in order to assure the reliability of our data. The theoretical values obtained by this work for the levels belonging to the 5g[K]J and 6f[K]J agreed well with those reported by NIST [27]. Moreover, this comparison showed that the energy of the 5g' [9/2]4, 5g' [9/2]5, 5g' [7/2]3 and 5g' [7/2]4 are reported here for the first time. These levels as well as the 6f ' [5/2]2, 6f ' [5/2]3, 6f ' [7/2] and 6f ' [7/2]4 levels converge to the second limit of ionization, they are autoionized into the 5p5(2P3/2) n'l' neighboring continua. The 5g' [K]J and 5f' [K]J levels merge and overlap with the 5g' [7/2]4 and 6f ' [7/2]4 level, respectively. The other levels situated under the first limit of ionization are not only bound but also overlap and interact with the other levels having the same J and K values. This interaction produces series of perturbations, the 5g [7/2]3 level couples with the 5g' [7/2]3 level, the 5g [7/2]4 level couples with the 5g' [7/2]4 level. Similarly, the 6f [5/2]3 level couples with the 6f ' [5/2]3 level and 6f ' [5/2]2 level couples with 6f [5/2]2 level. These couplings are due to the spin-orbit interaction. Furthermore, there are no considerable discrepancies between our theoretical results and the other experimental as well as theoretical ones for the levels belonging to the nd[K]J (n = 7, 8) and 8p[K]J series. The overall agreement between our results and the experimental ones is satisfying. From our theoretical point of view, the slight discrepancies between our results and the experimental ones for the levels belonging to the nd[K]J (n = 7, 8) series might be ascribed to the LS-coupling breakup for all levels in the nd[K]J (n = 7, 8) series. This breakup due to the relatively large spinorbit interaction within the 5p5 ion core than the core with the Rydberg electron. Because of that, a strong configuration interaction arises between these levels. Hence, the position of the nd[K]J (n = 7, 8) levels is very closer to the 9s[K]J levels [1]. As a result of this closeness, the 9s[3/2]1 level mixed with the 8d [1/2]1 level and the resulting eigenvectors are given in Russel-Saunders coupling as 9
| 9s 3P1 > = 0.643 |9s 1P1 > + 0.491 |9s 3P1 > ― 0.454 |8𝑑 1P1 > + 0.129 |8𝑑 3P1 > + 0.351 |8𝑑 3D1 >
(22)
| 8d 3P1 > = 0.596 |8𝑑 1P1 > + 0.026 |8𝑑 3P1 > ― 0.559 |8𝑑 3D1 > + 0.461 |9𝑠 1P1 > + 0.346|9s 3P1 >
(23)
and in Racah coupling as |9s [3/2]1 > = 0.795 |9s 1P1 > + 0.607 |9s 3P1 >
(24)
|8d [1/2]1 > 0.771 |8𝑑 1P1 > ― 0.033 |8𝑑 3P1 > ― 0.636 |8𝑑 3D1 >
(25)
Furthermore, the 9s' [1/2]1 1P1 level display strong configuration mixing with the 9s[3/2]13P1, 8d' [3/2]11P1, 8d [1/2]13P1 and 8d [3/2]13D1 levels. These s-d mixings justify the slight discrepancies between our theoretical results and those observed experimentally. On the other hand, the inconsistencies between our theoretical results for the levels belonging to the 7d[K]J series and those reported by Coulombe and Sinzelle [29] might be due to the Breit and quantum electrodynamics (QED) corrections along with the effect of nuclear charge distribution. These relativistic effects must be included in the calculations for heavy atoms such as xenon. However, these effects are not taken into account by Coulombe and Sinzelle in their phenomenological parametrized potential study [29]. Furthermore, perturbation takes place within the nd[K]J (n = 7, 8) series. Within these series, the 3P2 level couples with 3D2 level, the 3F3 level couples with the 1F3 level, the 3D1 level couples with the 1P1 level. Moreover, the 1F3 level perturbed by the 3D3 level and the 3F2 level perturbed by the 1D2 level. Instead of that, within the 7d[K]J series, Coulombe and Sinzelle took care only of the coupling of the 3P1 level instead of 1P1 level with 3D1 level, and the coupling between the 3P2 level and 3F2 instead of 3D2 level. However, the misplaced coupling is responsible of the discrepancies between our theoretical results and those reported by Coulombe and Sinzelle. Despite of this missed place coupling, it is curious that their theoretical and experimental results are in excellent agreement with each other. For the levels belonging to the 8p[K]J autoionizing Rydberg series, it can be seen that the overall, agreement between our theoretical results and those observed experimentally by NIST [27] and 10
LeClair and Trajmar [28] is fair. From our theoretical point of view, the slight discrepancies between our results and those observed experimentally by NIST and LeClair and Trajmar might be due to the cascading effects from the levels belonging to the higher nd[K]J (n = 8,9) series [5], [31]. This cascading process contaminates the experimental results of the levels belonging to 8p[K]J series. The 9d[5/2]2, 9d[5/2]3 and 9d' [5/2]3, 9d' [3/2]2, level decay to the 8p[3/2]1, 8p[3/2]2, 8p' [3/2]2 and 8p' [1/2]1 level, respectively. Furthermore, the 8d[3/2]1 level decay to the 8p[1/2]0 level, whereas the 8d' [3/2]1 level decay to 8p' [1/2]0 level. Similarly, the 8p'[3/2]1 level is populated by transitions from the 8d' [5/2]2, 8d' [3/2]1 and 9d' [5/2]2 levels. Furthermore, a perturbation, caused by spin-orbit coupling, between levels within the 8p[K]J series takes place. Consequently, states with the same total angular momentum J are mixed. Thereby, the 3D2 level couples with the 1D2 level, the 3D1 level perturbed by the 1P1 level and the 3P0 level perturbed by the 1S0 level. Regarding the levels belonging to the 9s[K]J series, an excellent agreement could be seen between our theoretical results and those observed experimentally as reported by NIST [27]. It is worthy to mention that the energy of the 9s' [1/2]1 is reported by Yoshino and Freeman [1] as 103945. 00 cm-1 and this experimental value was not displayed at NIST site. Evidently, the agreement between our theoretical result for this level and the one measured by Yoshino and Freeman is faire. These researchers carried out extensive measurements of the levels belonging to the nd[3/2]1, nd[1/2]1, nd'[3/2]1, ns[3/2]1 and ns'[1/2]1 with uncertainty of 0.1 cm-1. However, for the levels belonging to the ns'[1/2]1 series, their observed measurements only correspond to the wavelength of maximum absorption as seen on the photographic plates. This can be accepted because in their experiment, they saw a narrow resonance with high symmetry. Therefore, one must pay special attention when making comparison with their measured data. Moreover, the entire comparison shows that the energy of the 9s' [1/2]0 level is reported here for the first time. Within this series, the 3P1 and 1P1 levels perturbed each other. 3.3 Relativistic calculation of oscillator strengths and transition rates Based on the accurate calculated values of the energy levels in hand, the dimensionless corresponding oscillator strengths 𝑓𝑖𝑓 and the transition rates 𝐴𝑓𝑖 (in s-1) for the nd[K]J (n = 7, 8), and 9s[K]J Rydberg series relative to the 5p6(1S0) ground state are calculated in the length (𝑓𝑖𝑓(𝑙), 11
𝐴𝑓𝑖(𝑙)) as well as velocity (𝑓𝑖𝑓(𝑙), 𝐴𝑓𝑖(𝑙)) forms of the electric dipole operator in Babushkin and Coulomb gauges, respectively. As far as the transitions from the ground state to the 8p, 5g and 6f levels are restricted by electric dipole selection rules, we computed all the 5p5(2P)6p-5p5(2P)8d, 5p5(2P)7p-5p5(2P)nd (n =7, 8), 5p5(2P)5d-5p5(2P)8p, 5p5(2P)ns (n = 6, 7, 8) -5p5(2P)8p, 5p5(2P)6d5p5(2P)np (n =7, 8), 5p5(2P)8d -5p5(2P)8p, 5p5(2P)nf (n = 4, 5) -5p5(2P)7d and 5p5(2P)nf (n = 4, 5) -5p5(2P)8d and 5p5(2P)nf (n = 4, 5) -5p5(2P)5g oscillator strengths and transition rates. The obtained results are listed in table 2. The statistical weight of the initial and final levels i and f , respectively are represented by gi and gf , respectively. A variable discrepancy in the oscillator strengths between the two gauges can be observed. The gauges disparity might be due to different reasons: i. The disparity is mostly ascribed to the susceptibility of the Coulomb gauge to correlation corrections [3]. Actually, many researchers thinking that the inner-core correlation only has week influence on the valence electrons. As an approximation, for all excited states, they kept the 5p5 core as inactive [32]. However, the core-correlation has drastic effect in the accurate computation of the oscillator strengths and transition rates. In our calculations, the inner-core correlation was involved in the calculations by employing extensive multiconfiguration expansions for the electron states within the 5s25p5 core, following by single and double excitation from the 5s5p orbital to n'l' corelated orbitals. The core-valence correlation effects might be saturated in the single and limited double excitation in a certain number of virtual orbitals [5]. Therefore, the values of the oscillator strengths as well as those of the transition rates calculated in Babushkin gauge, converging to the external part of the electronic wavefunction. Whereas the equivalent values calculated in Coulomb gauge converging to the inner part where the core-core effects take place. Sometimes, core-valence correlation will be sufficient to get results of acceptable quality while core-core correlations can be very expensive. A great deal of patience and time-consuming labor may be needed to obtain good results. Thus, in order to study states of a neutral heavy atom such as xenon with open s, df and g- shells, we may well need several thousand configurational state functions (CSF) per atomic state, so the achievable accuracy will depend on expensive access to very powerful parallel computers. ii. Another contribution that affect the consistency might be mainly ascribed to the conservation of charge and the total dependency of the radial matrix elements on the nuclear charge density. Transition rates and oscillator strengths between the |𝛾𝑟 , Π, 𝐽, 𝑀𝐽 > initial state and the |𝛾𝑟 , Π, 𝐽, 12
𝑀𝐽 > final state were obtained in terms of the reduced matrix elements 𝑀𝑖𝑓 as shown by equation (6). If the wave functions of these states were individually constructed in two orbital sets; the first orbital for the initial state and the other orbital for the final state, then the wave functions in each orbital constitute a basis set and orthonormal to each other whereas those in different states violate the orthonormality condition, thereby, the calculation of the reduced matrix elements becomes difficult. To avoid this difficulty, we transformed the wave functions of the initial and final states so that the wave functions in the different orbital sets satisfy the biorthonormality condition [3336]. iii. Of particular importance is also the large splitting of the 5p5 core due to strong spin-orbit interaction, which produce configuration mixing of different energy levels in the excited states as discussed in section 3.2. Furthermore, some contributions to the transition rates in the Coulomb gauge cannot be taken into account with GRASP2K codes [4]. iv. One result in particular (and there are a few more displayed in table 2), which differs by considerable orders of magnitude, between the values of the oscillator strengths that obtained in Babushkin and Coulomb gauges, can be observed in table 2. The uncertainty in the calculated values of oscillator strengths originating from the uncertainty in the radial matrix elements that used in equation (6) and from the uncertainty in the calculation of the angular expansion coefficients in addition to uncertainty arising from cancellation effects. For heavy atoms like
129Xe,
large oscillator strength values obtained for allowed transitions in
Racah coupling. The np ― ns, np ― (n ― 1)s and np ― n'd transitions in Babushkin gauge correspond to large radial matrix elements. Thereupon, the uncertainty is considerable for such transitions due to the bases restriction which in turns affected the corresponding expansion coefficients. Moreover, the n'd[K]J = 1 and n'p' [K]J = 0 wavefunctions are not accurately determined due to d-p configuration mixing. For odd isotopes, the 8p'[1/2]0 1S0 with J = 0 of atoms may have magnetic moments significantly different from the pure nuclear one. This effect arising from hyperfine coupling which mixes states of J ≠ 0 contributions into the wavefunctions that describing states of zero total angular momentum and consequently produces some electronic magnetism into these states. More than that use of 8p'[1/2]1 eliminates transitions from 5d[5/2]3 and 5d'[5/2]3.
13
To further guarantee the accuracy of these results, most probably the dipole matrix elements in Racah coupling and intermediate spin-orbit coupling has to be calculated anyhow. After all, the discrepancy between the values of the oscillator strengths in Babushkin and Coulomb gauges was also reported by Irimia and Froese Fischer [32], Froese Fischer and Rubin [37], Bieron et al. [38], and Zhou et al. [39]. Moreover, Kim in his relativistic multiconfiguration calculation, found 15% difference between the values calculated in Babushkin and Coulomb gauge [40]. Worthy of note, the semiempirical calculations carried out by Aymar et al. [41] showed that the insertion of second order corrections produced remarkable disagreement between Babushkin and Coulomb gauge. However, the inconsistency of the theoretical results obtained in the two gauges should not be handled as an error bar of itself. In contrast, it showed that the core-polarization model is inappropriate to accurately calculate the energy differences between the initial and final levels of all transitions as showed by Irimia and Froese Fischer [32]. Afterall, researcher favor the results obtained in Babushkin gauge for comparison with the experimental results. In Table 3, our theoretical results of the oscillator strengths are compared with the available experimental and theoretical data. Our results in Babushkin gauge for the transition 5p6-5p5 8d are in good agreement with the results that experimentally reported and theoretically calculated by Geiger [42], whereas our results in Coulomb gauge are in fair agreement with those experimentally measured by Chan et al. [43].Furthermore, a remarkable discrepancies can be noticed between our theoretical results and the other available data for the other levels. Although, we could see a remarkable disagreement between the experimental results reported by different researchers for the levels displayed in table 3. The experimental measurements of the absolute oscillator strengths were performed via electron-impact-based technique using Beer-Lambert law [43]. The obtained experimental results are uncertain because considerable errors may take place due to linesaturation or bandwidth effects as soon as the bandwidth is of the same order or greater than the natural linewidth [43]. Our theoretical values obtained for the transition rates of some levels are given in table 4, together with other experimental values for comparison. In sight of this comparison, a remarkable disagreement can be seen between our results and those measured by Sabbagh and Sadeghi [45]. This disparity might due to the 8d and 9d cascading levels which populate the 8p-sublevels as
14
discussed earlier. Therefore, the complete nature spectrum of 8p levels required much narrower monochromator slit widths, in order to resolve the various transitions due to cascading levels. The cascade components produce uncertainty of 50% as one could see in the 6s[3/2]2 – 8p[5/2]2 transition reported by Sabbagh and Sadeghi. It is important to note that experimental values of Sabbagh and Sadeghi correspond to absolute transition rates measurements, however, for transitions from the 8p'[3/2]1, 8p'[1/2]1 and 8p'[1/2]0 levels, it has been compulsory to measure the 8d-8p and 9d-8p relative transitions which enable us to obtain the corresponding branching ratios. This process might be useful to minimize the errors in the experimental data due to cascading effects. On the other hand, this comparison showed that the experimental data as well as the theoretical ones available in the database are scarce and good agreement for one level is insufficient to justify the accuracy of these data. Therefore, more accurate experimental as well as theoretical data are required in order to judge the accuracy of our theoretical results. In the meantime, the reliability of our theoretical results of the energy levels assures the accuracy of our results for the oscillator strengths as well as the transition rates. 3.4 Relativistic calculation of Landé 𝒈𝑱-factor and Hyperfine magnetic dipole constant Relativistic calculations of the Landé 𝑔𝐽-factor and magnetic dipole hyperfine constant 𝐴𝑀𝐷 [in MHz] in the MCDHF framework has been made. The obtained results are displayed in table 5. To further assess the reliability of our theoretical data, the current results of the Landé 𝑔𝐽-factor and magnetic dipole hyperfine constant constants 𝐴𝑀𝐷 are compared with the published data as displayed in tables 6 and 7, respectively. From table 6, it is clear that our present theoretical values for the Landé 𝑔𝐽-factor calculated in the MCDHF framework appear to be in excellent agreement with those calculated by Coulombe and Sinzelle [29], whereas our results are in good agreement with the experimental values reported Chenevier and Moskowitz [46] and Moore [47]. Moreover, table 6 displayed an important disparity between our theoretical results and the experimental ones displayed by NIST for the 7d[7/2]3, 7d[3/2]2, 7d[5/2]2, 8d[1/2]1 and 8d[3/2]1 levels and the experimental ones reported by Coulombe and Sinzelle for the 7d[1/2]1, 7d[7/2]3, 7d[3/2]2, 7d[5/2]2 levels.
15
Table 7 displayed a remarkable disparity between our results for 𝐴𝑀𝐷 and the corresponding experimental ones reported by Kono et al. [48], Jackson and Coulombe [49] and Brandi et al. [51]. In contrast, our result for the level 8p[1/2]1 is in good agreement with the experimental value reported by Geisen et al. [50]. Furthermore, our result for the 8d [3/2]1 level is in satisfactory agreement with that measured by Brandi et al. [51]. On the other hand, our results for the 7d[1/2]1 and 7d[3/2]1 level not only disagree with the theoretical results reported by Coulombe and Sinzelle [29] as well as the experimental ones measured by Jackson and Coulombe [49] but also represents a hole for the former and an electron for the later. In contrast, Jackson and Coulombe [49] reported the value 0.0 ± 30 MHz for the latest level. However, the experimental values of 7d[1/2]1,7d[3/2]2 and 7d[3/2]1 level, measured by Jackson and Coulombe are in remarkable disagreement with those calculated by Coulomb and Sinzelle [29]. Moreover, excitation energy from the ground sate to these levels was as close to the first limit of ionization as enabled by the low intensity of lines decaying from the 6f, 7f and 8f levels [52] and low cascade depopulation was observed for the 6f, 7f and 8f levels [52]. In some cases, it is was a challenge problem to separate transitions from levels of different total angular momentum J belonging to the same as well as different configuration. The magnetic dipole hyperfine constants calculated in this work for the 7d[7/2]4, 7d[7/2]3, 7d[5/2]2, 7d'[5/2]2, 7d'[5/2]3, 7d'[3/2]2 and 7d'[3/2]1 levels agrees very well with the theoretical values reported by Coulombe and Sinzelle [29], while our theoretical values calculated for the 7d[7/2]4, 7d[3/2]2 and 7d[5/2]2 levels have a fair agreement with those measured experimentally by Jackson and Coulombe [49]. 4.
Conclusion
Based on the multiconfiguration Dirac-Hartree-Fock method, the most necessary configuration states wave functions were determined in order to calculate the spectral data for the levels arising from the 5g[K]J, 6f[K]J, nd[K]J (n = 7, 8), 8p[K]J and 9s[K]J autoionizing Rydberg series of the 129Xe
I. The spectral data is composed of energy levels, Oscillator strengths, transition rates, Landé
𝑔𝐽-factor and magnetic dipole hyperfine constant. Because the straight transition from the ground state to the levels 8p, 5g and 6f levels are not allowed by electric dipole selection rules, we computed all the 5p5(2P)6p-5p5(2P)8d, 5p5(2P)7p-5p5(2P)nd (n =7, 8), 5p5(2P)5d-5p5(2P)8p, 5p5(2P)ns-5p5(2P)8p (n = 6, 7, 8) , 5p5(2P)6d-5p5(2P)np (n =7, 8), 5p5(2P)nd-5p5(2P)8p (n = 7, 8), 16
5p5(2P)nf-5p5(2P)7d (n = 4, 5) and 5p5(2P)nf-5p5(2P)5g (n = 4, 5) oscillator strengths and transition rates. The present theoretical results are compared with the earlier theoretical and also experimental data available in the database in order to stringently judge the accuracy of our results. For most of the levels, our results agree well with the earlier theoretical and experimental published data. Analysis of various experimental and theoretical data of spectral lines published to till now for xenon, shows that there is a large discrepancy existing between the experimental-experimental, experimental-theoretical and theoretical-theoretical values. Further stringent accuracy estimation for our data set presented in this work necessitates more experimental results to compare with. Despite the fact that numerous experimental measurements have been performed, their output are still remarkably sparse. It is worthy to emphasize that the current spectral data with those that we published earlier for Argon[2-3], Krypton [4] and xenon [5] can be considered as a completion of the database for the noble gas. These data offering an opportunity for future experimental measurements for noble gas, they could be very useful in guiding spectroscopists to understand how black hole, neutron star or active galaxy generates light, how quick it moves, and what elements it is constructed from, since they act like a fingerprint that can be used to identify an atom.
References: [1] K. Yoshino, D. E. Freeman, J. Opt. Soc. Am. B2, 1268 (1985). 17
[2] W. Salah, O. Hassouneh, Eur. Phys. J. Plus, 132: 160 (2017) [3] O. Hassouneh, W. Salah, Eur. Phys. J. Plus, 132: 312 (2017) [4] W. Salah, O. Hassouneh, J. Phys. Commun. 2, 035014 (2018) [5] W. Salah, O. Hassouneh, Results in Physics, 12, 153 (2019) [6] G. Racah, Phys. Rev. 62, 438 (1942) [7] U.J. Sofia et. al., Astrophys. J. 522, L137 (1999) [8] P. Jönsson et al., Atoms, 5, 16 (2017) [9] J. Reyna Almandos et al., Phys. Scr. T134, 014018 (2009) [10] S. Eser, L. Ozdemir, , Acta Phys. Pol. A132, 1284 (2017) [11] R. Kau et al., Z. Phys. D36, 23 (1996) [12] P. Jönsson et al., Comput. Phys. Commun. 184, 2197 (2013) [13] I. P. Grant, Relativistic Quantum Theory of Atoms and Molecules: Theory and Computation, New York: Springer, (2007). [14] R.D. Cowan, The theory of atomic structure and spectra (University of California Press, Berkeley, 1981) [15] I. P. Grant, J. Phys. B7, 1458 (1974). [16] C. Froese Fischer et al., J. Phys. B 49, 182004 (2016). [17] I. Lindgren, A. Rosen, Case stud. At. Phys. 4, 93 (1975). [18] J. P. Desclaux, Comput. Phys. Commun. 9, 31 (1975). [19] M. J. Levine, J. Wright, Phys. Rev. Lett. 26, 1351 (1971) [20] C. Froese Fischer et al., Computational Atomic Structure. An MCDHF approach, (Bristol, Philadelphia, Institute of Physics publishing, 1997). [21] C. Froese Fischer, Comput. Phys. Commun. 1, 151 (1969). [22] E. R. Davidson, J. Comput. Phys. 17, 87 (1975). [23] R. D. Rundel et al., J. Opt Soc. Am. 65, 628 (1975). [24] R. F. Stebbings et. al., Phys. Rev. A12, 1453 (1975). [25] R. M. Sternheimer, Phys. Rev. 146, 140 (1966). [26] R. M. Sternheimer, Phys. Rev. 164, 10 (1967). [27] A. Kramida, Yu. Ralchenko, J. Reader and NIST team (2015). NIST Atomic Spectra Database (vers. 5.3), [online]. Available: http://physics.nist.gov/asd [2017, June 30]. National Institute of Standards and Technology, Gaithersburg, MD. 18
[28] L. R. LeClair, S. Trajmar, J. Phys. B: Atom. Mol. Opt. Phys. 29, 5527 (1996) [29] M. Coulombe, J. Sinzelle, J. Physique 36, 773 (1975). [30] L- G. Wang, R. D. Knight, Phys. Rev. A34, 3902 (1986). [31] M. B. Das, S. Karmakar, Eur. Phys. J. D32, 285 (2005). [32] A. Irimia, C. Froese Fischer, J. Phys. B: Atom. Mol. Opt. Phy. 37, 1659 (2004). [33] J. Olsen et al., Phys. Rev. E. 52, 4499 (1995). [34] P. Jönsson, C. Froese Fischer, Phs. Rev. A57, 4967 (1998). [35] S. Gustafsson et al., A&A., A76, 597 (2017). [36] J. Bieron et al., Eur. Phys. J. special topics 144, 75 (2007). [37] C. Froese Fischer , R. H. Rubin, J. Phys. B:Atom. Mol. Opt. Phys. 31, 1657 (1998). [38] J. Bieron et al., Phys. Rev. A 80, 012513 (2009). [39] F. Zhou et al., Phys. Rev. A 92 052505 (2015). [40] Y.- K. Kim, Phys. Scr. T47, 54 (1993). [41] M. Aymar et al.,Nucl. Instrum. Methods 90, 137 (1970). [42] J. Geiger, Z. Phys. A 282, 129 (1977). [43] W. Chan et al., Phys. Rev. 46, 149 (1992). [44] A. Delage and J.D. Carette, Phys. Rev. A 14,1345 (1976). [45] J. Sabbagh, N. Sadeghi, J. Quant. Spectrosc. Radiat. Transfer.17, 297 (1977). [46] M. Chenevier, P. A. Moskowitz, J. Physique, 35, 401 (1974). [47] C. E. Moore, Atomic energy levels NBS circular Vol. 3 (Washington, DC:US Govt Printing Office) (1952, 1958). [48] M. Kono et al., J. Phys. B:Atom. Mol. Opt. Phys. 46, 035401 (2013). [49] D. A. Jackson, M. C. Coulombe, Proc. R. Soc.335, 127 (1973). [50] H. Geisen et al., Phys. Lett. A130, 299 (1988). [51] F. Brandi et al., Phys. Rev. A64, 032505 (2001). [52] D. Verdugo et al., Physica 141C, 329 (1986). [53] C. C. Davis, T. A. King, J. Quant. Spectrosc. Radiat. Transfer 13, 825 (1973). [54] J. A. Cabrera et al., Physica 104C, 416 (1981).
19
Table 1: Energy data(cm ―1) for 129Xe I relative to the ground state 5p6 1S0 . Configuration /
Experimental energy 20
Computed energy
Terms
[27]
[28]
[29]
[30]
[29]
This work
5g 5g[5/2]2
3F
2
93421.53
93425.98
5g[5/2]3
3F
3
93421.53
93425.99
5g[11/2]5
1H
5
93427.38
93433.69
5g[11/2]6
3H
6
93427.38
93433.68
5g[7/2]3
1F † 3
93439.76
93447.94
5g[7/2]4
3F † 4
93439.76
93447.94
5g[9/2]4
1G
4
93446.13
93455.66
5g[9/2]5
1G
5
93446.13
93455.66
5g'[9/2]4
3H
4
104063.11
5g'[9/2]5
3H
5
104063.11
5g'[7/2]3
3G † 3
104063.13
5g'[7/2]4
3G † 4
104063.13
† 1F3 couples with 3G3, 3F4 couples with 3G4.
6f 6f[3/2]1
3D
6f[3/2]2
3D
1
94734.882
94753.54
2
94737.121
94755.37
6f[5/2]2
1D † 2
94759.935
94783.07
6f[5/2]3
3D † 3
94758.116
94781.44
6f[7/2]3
1F
94769.465
94794.72
6f[7/2]4
3F
4
94769.524
94794.75
6f[9/2]4
1G
4
94744.718
94767.40
6f[9/2]5
3G
5
94744.198
94766.47
3
6f ' [5/2]2 3F2† 105288.2
105399.31
6f ' [5/2]3 3F3† 105288.2
105397.71
6f ' [7/2]3
3G
3
105288.2
105397.85
6f ' [7/2]4
3G
4
105288.2
105398.06
† 3D3 couples with 3F3 and 3F2 couples with 1D2.
21
7d 7d[1/2]0
3P
0
92259.931
92260.43
92248.88
92537.45
7d[1/2]1
3P
1
92128.287
92128.79
92172.84
92685.53
7d[7/2]4
3F
4
92444.927
92445.43
92422.20
92748.29
7d7/2]3
3F † 3
92646.125
2646.62
92642.36
92883.45
7d[3/2]2
3P † 2
92721.53
92722.03
92734.50
92822.45
7d[3/2]1
3D † 1
92714.038
92714.54
92703.44
93800.06
7d[5/2]2
3F
2
92678.516
92679.01
92676.85
93034.64
7d[5/2]3
1F † 3
92733.597
92734.09
92743.0
93084.59
7d'[5/2]2 1D2†
103013.1
103215.98
103442.30
7d'[5/2]3 3D3†
103117.9
103280.81
103530.15
7d'[3/2]2 3D2†
103061.5
103199.57
103449.13
103409.5
104009.83
7d'[3/2]1
1P † 1
103419
103343.8
103419
† 3P2 couples with 3D2, 3F3 couples with 1F3, 1F3 perturbed by 3D3, 3D1 couples with 1p1 and 3F2 perturbed by 1D2.
8p 8p[1/2]1
3S
8p[5/2]3
3D
92153.279
91899.30
3
92264.950
91967.84
8p[5/2]2
3D † 2
92221.362
91952.73
8p[3/2]1
3D † 1
92333.066
92012.80
8p[3/2]2
3P
2
92370.923
92029.77
8p[1/2]0
3P † 0
92555.135
92110.98
8p'[3/2]1
1P † 1
102722.7
102564.31
8p'[3/2]2 1D2†
102827.6
102609.86
1
8p'[1/2]1
3P
1
102819.5
102599.91
8p'[1/2]0
1S † 0
102900.2
102659.21
† 3D2 couples with 1D2, 3D1 perturbed by 1P1 and 3P0 perturbed by 1S0.
9s 9s[3/2]2
3P
2
93398.253
93275.90
9s[3/2]1
3P † 1
93422.108
93293.66
9s'[1/2]0
3P
0
103927.0
103894.23
9s' [1/2]1
1P † 1
103943.6
103902.26
22
† 3P1 perturbed by 1P1.
8d 8d[1/2]0
3P
0
94124.342
94265.48
8d[1/2]1
3P
1
94228.004
94333.63
8d[7/2]4
3F
4
94226.320
94381.54
8d7/2]3
3F † 3
94290.225
94456.44
8d[3/2]2
3P † 2
94285.651
94423.78
7d[3/2]1
3D † 1
94685.467
94974.57
8d[5/2]2
3F
2
94339.433
94538.07
8d[5/2]3
1F † 3
94369.995
94566.41
8d'[5/2]2 1D2†
104779.4
104775.3
105041.25
8d'[5/2]3 3D3†
104835.9
104825.7
105091.09
8d'[3/2]2 3D2†
104795.6
104796.0
105044.43
1P † 1
104956.9
8d'[3/2]1
105350.14
† 3P2 couples with 3D2, 3F3 couples with 1F3, 1F3 perturbed by 3D3, 3D1 couples with 1p1 and 3F2 perturbed by 1D2.
23
Table 2: The oscillator strengths 𝑓𝑖𝑓 and the radiative transition rates 𝐴𝑓𝑖 (in s−1) for 129Xe I, as obtained in the length 𝑓𝑖𝑓(𝑙) , 𝐴𝑓𝑖(𝑙) and velocity 𝑓𝑖𝑓(𝑣) and 𝐴𝑓𝑖(𝑣) forms of the electric dipole transitions in Babushkin and Coulomb gauges, respectively. Multiplet/Terms 5p6 - 5p57d 1S - 3P 0 1 1S - 3D 0 1 1S - 1P 0 1 6 5p - 5p58d 1S - 3P 0 1 1S - 3D 0 1 1S - 1P 0 1 6 5p - 5p59s 1S - 3P 0 1 1S - 1P 0 1 5p56p - 5p57d 3P - 3P 2 1 3P - 3D 2 1 3P - 1P 2 1 1S - 3P 0 1 1S - 3D 0 1 1S - 1P 0 1 3S - 3P 1 0 3D - 3P 1 0 1P - 3P 1 0 3P - 3P 1 0 3S - 3P 1 1 3S - 3D 1 1 3S - 1P 1 1 3D - 3P 1 1 3D - 3D 1 1 3D - 1P 1 1 1P - 3P 1 1 1P - 3D 1 1 1P - 1P 1 1 3P - 3P 1 1 3P - 3D 1 1
gi
gf
E(cm−1)
1 1 1
3 3 3
1 1 1
𝑓𝑖𝑓(𝑙)
𝑓𝑖𝑓(𝑣)
92658.53 93800.06 104009.83
3.280E-03 2.049E-01 1.257E-01
2.648E-03 1.610E-01 9.780E-02
6.262E+06 5.054E+06 4.007E+08 3.151E+08 3.023E+08 2.352E+08
3 3 3
94333.63 94974.57 105350.14
1.757E-03 1.138E-01 6.345E-02
1.429E-03 9.038E-02 4.982E-02
3.476E+06 2.828E+06 2.283E+08 1.813E+08 1.566E+08 1.229E+08
1 1
3 3
93441.61 104050.2
3.866E-03 1.657E-03
3.500E-03 1.511E-03
7.505E+06 6.795E+06 3.988E+06 3.638E+06
5 5 5 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3
13391.82 14533.34 24743.11 3887.51 5029.03 15238.8 15175.49 13158.34 4423.62 2518.78 15296.57 16438.09 26647.86 13279.42 14420.95 24630.72 4544.7 5686.23 15896 2639.86 3781.39
2.843E-03 1.544E-01 1.571E-03 2.037E-05 2.428E-04 8.943E-02 5.599E-02 4.601E-03 5.080E-06 2.554E-05 1.222E-01 5.897E-03 6.628E-05 2.122E-02 9.651E-02 1.237E-04 2.144E-06 1.122E-07 4.656E-02 3.570E-05 1.228E-05
1.023E-03 4.737E-02 1.930E-04 1.333E-04 8.485E-04 4.133E-02 2.456E-02 1.097E-03 1.597E-05 3.687E-04 5.194E-02 3.452E-03 7.296E-06 5.851E-03 3.212E-02 7.673E-06 1.013E-06 1.013E-05 1.978E-02 5.025E-04 8.542E-05
1.133E+05 7.249E+06 2.139E+05 6.846E+01 1.365E+03 4.617E+06 8.601E+06 5.314E+05 6.631E+01 1.081E+02 6.356E+06 3.543E+05 1.047E+04 8.318E+05 4.463E+06 1.668E+04 9.848E+00 8.063E-01 2.616E+06 5.532E+01 3.903E+01
24
𝐴𝑓𝑖(𝑙)
𝐴𝑓𝑖(𝑣)
4.079E+04 2.225E+06 2.627E+04 4.478E+02 4.771E+03 2.134E+06 3.773E+06 1.267E+05 2.084E+02 1.560E+03 2.702E+06 2.074E+05 1.152E+03 2.294E+05 1.485E+06 1.035E+03 4.651E+00 7.285E+01 1.112E+06 7.787E+02 2.716E+02
3P
- 1P1 3S - 3P 1 2 3S - 3F 1 2 3S - 1D 1 2 3S - 3D 1 2 3D - 3P 1 2 3D - 3F 1 2 3D - 1D 1 2 3D - 3D 1 2 1P - 3P 1 2 1P - 3F 1 2 1P - 1D 1 2 1P - 3D 1 2 3P - 3P 1 2 3P - 3F 1 2 3P - 1D 1 2 3P - 3D 1 2 3D - 3P 2 1 3D - 3D 2 1 3D - 1P 2 1 3P - 3P 0 1 3P - 3D 0 1 3P - 1P 0 1 1D - 3P 2 1 1D - 3D 2 1 1D - 1P 2 1 3D - 3P 2 2 3D - 3F 2 2 3D - 1D 2 2 3D - 3D 2 2 3P - 3P 0 2 3P - 3F 0 2 3P - 1D 0 2 3P - 3D 0 2 1D - 3P 2 2 1D - 3F 2 2 1D - 1D 2 2 1D - 3D 2 2 1
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 1 1 1 5 5 5 5 5 5 5 1 1 1 1 1 5 5 5
3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 5 5 5 5 5 7 5 5 5 5 5 5
13991.16 15460.48 15672.68 26080.33 26087.17 13443.34 13655.53 24063.19 24070.03 4708.62 4920.81 15328.47 15335.31 2803.78 3015.97 13423.63 13430.47 15098.94 16240.47 26450.24 12999.55 14141.07 24350.84 2648.37 3789.9 13999.67 15262.85 15475.05 25882.71 25889.54 13163.46 13375.65 23783.31 23790.15 2812.29 3024.48 13432.14 13438.97
3.863E-02 5.818E-02 4.441E-02 1.120E-05 9.409E-04 1.430E-01 1.708E-01 4.361E-05 7.120E-05 5.442E-05 1.572E-05 2.228E-01 4.487E-03 1.767E-06 2.720E-06 3.081E-02 3.706E-01 1.368E-02 5.202E-03 6.202E-09 3.787E-02 8.717E-04 1.064E-04 7.428E-06 5.288E-06 7.596E-03 9.227E-03 9.563E-02 7.196E-06 4.829E-05 1.866E-01 5.992E-04 2.300E-05 4.104E-04 4.234E-05 2.933E-09 4.963E-02 6.012E-02 25
1.285E-02 2.104E-02 2.332E-02 2.697E-08 8.285E-05 4.894E-02 6.543E-02 1.646E-05 1.045E-05 1.407E-04 2.338E-05 1.015E-01 2.098E-03 3.165E-05 1.333E-07 1.101E-02 1.333E-01 6.840E-03 2.075E-03 3.493E-11 1.498E-02 2.538E-04 1.162E-05 7.778E-05 2.179E-05 2.517E-03 5.011E-03 4.282E-02 1.776E-06 6.761E-06 7.077E-02 3.550E-04 2.502E-06 4.755E-05 3.665E-04 1.631E-06 1.787E-02 2.159E-02
1.681E+06 1.855E+06 1.455E+06 1.016E+03 8.542E+04 3.447E+06 4.248E+06 3.369E+03 5.503E+03 1.610E+02 5.077E+01 6.984E+06 1.408E+05 1.853E+00 3.301E+00 7.406E+05 8.918E+06 6.936E+05 3.051E+05 9.648E-01 1.423E+06 3.876E+04 1.403E+04 1.158E+01 1.689E+01 3.310E+05 2.868E+05 3.055E+06 6.431E+02 4.318E+03 4.313E+06 1.430E+04 1.736E+03 3.099E+04 4.467E+01 3.579E-03 1.194E+06 1.449E+06
5.595E+05 6.709E+05 7.642E+05 2.447E+00 7.521E+03 1.180E+06 1.628E+06 1.272E+03 8.075E+02 4.163E+02 7.552E+01 3.183E+06 6.582E+04 3.319E+01 1.617E-01 2.647E+05 3.208E+06 3.467E+05 1.217E+05 5.433E-03 5.628E+05 1.128E+04 1.533E+03 1.213E+02 6.959E+01 1.097E+05 1.557E+05 1.368E+06 1.587E+02 6.046E+02 1.636E+06 8.474E+03 1.888E+02 3.590E+03 3.867E+02 1.990E+00 4.300E+05 5.202E+05
3D
- 3F3 3D - 1F 2 3 3D - 3D 2 3 3P - 3F 0 3 3P - 1F 0 3 3P - 3D 0 3 1D - 3F 2 3 1D - 1F 2 3 1D - 3D 2 3 3D - 3P 3 2 3D - 3F 3 2 3D - 1D 3 2 3D - 3D 3 2 3D - 3F 3 3 3D - 1F 3 3 3D - 3D 3 3 3D - 3F 3 4 5 5p 7p - 5p57d 3P - 3P 0 1 3P - 3D 0 1 3P - 1P 0 1 1S - 3P 0 1 1S - 3D 0 1 1S - 1P 0 1 3S - 3P 1 0 3D - 3P 1 0 1P - 3P 1 0 3P - 3P 1 0 3S - 3P 1 1 3S - 3D 1 1 3S - 1P 1 1 3D - 3P 1 1 3D - 3D 1 1 3D - 1P 1 1 1P - 3P 1 1 1P - 3D 1 1 1P - 1P 1 1 3P - 3P 1 1 2
5 5 5 1 1 1 5 5 5 7 7 7 7 7 7 7 7
7 7 7 7 7 7 7 7 7 5 5 5 5 7 7 7 9
15323.86 15525 25970.56 13224.46 13425.6 23871.16 2873.29 3074.43 13519.99 13540.26 13752.45 24160.11 24166.95 13601.26 13802.4 24247.96 13466.1
3.237E-01 9.656E-03 8.425E-07 2.958E-03 4.953E-01 1.421E-04 9.189E-06 7.380E-06 6.187E-01 2.060E-02 9.064E-03 2.486E-06 2.672E-05 9.626E-02 1.130E-01 6.459E-05 7.926E-01
1.468E-01 3.173E-03 3.496E-07 6.643E-04 1.778E-01 1.558E-05 4.069E-05 4.878E-05 2.195E-01 7.292E-03 3.114E-03 2.768E-07 2.969E-06 3.378E-02 3.846E-02 7.130E-06 2.834E-01
7.243E+06 2.218E+05 5.415E+01 4.929E+04 8.507E+06 7.713E+03 7.229E+00 6.647E+00 1.078E+07 5.039E+05 2.287E+05 1.936E+02 2.082E+03 1.697E+06 2.051E+06 3.619E+03 1.065E+07
3.285E+06 7.288E+04 2.247E+01 1.107E+04 3.054E+06 8.458E+02 3.201E+01 4.394E+01 3.823E+06 1.783E+05 7.856E+04 2.155E+01 2.313E+02 5.955E+05 6.982E+05 3.995E+02 3.809E+06
1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 1 1 1 1 3 3 3 3 3 3 3 3 3 3
3941.16 5082.68 15292.45 6401.68 5260.15 4949.61 4660.8 4173.63 6146.54 6290.28 4781.88 5923.41 16133.18 4294.71 5436.23 15646 6025.46 4883.94 5325.83 6169.2
2.590E-03 1.686E-01 8.992E-04 7.579E-05 1.505E-04 1.233E-01 7.054E-02 3.104E-03 3.649E-06 9.171E-05 1.722E-01 3.564E-03 6.459E-05 1.716E-03 1.246E-01 5.893E-04 9.078E-06 6.933E-05 6.380E-02 7.922E-05
2.273E-03 8.976E-02 5.178E-05 2.716E-05 8.179E-05 7.331E-02 4.653E-02 2.829E-03 1.323E-06 3.319E-05 1.074E-01 1.198E-03 3.259E-06 1.686E-03 5.907E-02 3.271E-05 3.922E-06 4.370E-05 3.280E-02 3.029E-05
8.946E+03 9.687E+05 4.676E+04 2.072E+03 2.777E+03 6.716E+05 1.022E+06 3.607E+04 3.065E+01 8.068E+02 8.753E+05 2.781E+04 3.738E+03 7.039E+03 8.186E+05 3.207E+04 7.328E+01 3.677E+02 4.024E+05 6.704E+02
7.849E+03 5.156E+05 2.693E+03 7.424E+02 1.510E+03 3.993E+05 6.742E+05 3.287E+04 1.112E+01 2.920E+02 5.463E+05 9.344E+03 1.886E+02 6.915E+03 3.881E+05 1.781E+03 3.166E+01 2.318E+02 2.069E+05 2.563E+02
26
3P
- 3D1 3P - 1P 1 1 3S - 3P 1 2 3S - 3F 1 2 3S - 1D 1 2 3S - 3D 1 2 3D - 3P 1 2 3D - 3F 1 2 3D - 1D 1 2 3D - 3D 1 2 1P - 3P 1 2 1P - 3F 1 2 1P - 1D 1 2 1P - 3D 1 2 3P - 3P 1 2 3P - 3F 1 2 3P - 1D 1 2 3P - 3D 1 2 3D - 3P 2 1 3D - 3D 2 1 3D - 1P 2 1 3P - 3P 2 1 3P - 3D 2 1 3P - 1P 2 1 1D - 3P 2 1 1D - 3D 2 1 1D - 1P 2 1 3D - 3P 2 2 3D - 3F 2 2 3D - 1D 2 2 3D - 3D 2 2 3P - 3P 2 2 3P - 3F 2 2 3P - 1D 2 2 3P - 3D 2 2 1D - 3P 2 2 1D - 3F 2 2 1D - 1D 2 2 1
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5
5027.67 5182.1 4945.8 5157.99 15565.65 15572.48 4458.62 4670.81 15078.47 15085.31 5861.55 5649.35 4758.3 4765.14 6005.28 5793.09 4614.57 4621.4 4546.46 5687.98 15897.75 4230.27 5371.8 15581.57 6200.51 5058.98 5150.78 4710.37 4922.57 15330.22 15337.06 4394.19 4606.38 15014.04 15020.88 6036.6 5824.4 4583.25
8.570E-05 4.674E-02 1.682E-01 1.199E-03 1.599E-06 3.244E-04 5.355E-02 2.542E-01 6.589E-06 6.397E-05 1.906E-05 5.199E-06 2.947E-01 4.403E-03 1.892E-05 7.845E-06 2.964E-02 3.983E-01 1.156E-02 8.167E-03 3.600E-06 4.522E-02 3.999E-04 1.692E-04 2.824E-05 1.982E-05 8.766E-03 3.268E-03 1.234E-01 3.478E-05 4.341E-05 2.048E-01 5.365E-03 5.328E-06 6.530E-04 1.536E-04 3.953E-08 5.311E-02 27
4.817E-05 2.405E-02 9.610E-02 9.444E-04 3.617E-08 1.811E-05 3.609E-02 1.646E-01 3.485E-07 3.668E-06 7.272E-06 2.728E-06 1.896E-01 2.861E-03 6.835E-06 2.633E-06 1.909E-02 2.563E-01 8.311E-03 3.656E-03 1.985E-07 3.511E-02 1.782E-04 9.576E-06 1.029E-05 1.059E-05 4.559E-03 2.347E-03 7.418E-02 2.209E-06 2.713E-06 1.464E-01 3.711E-03 3.096E-07 3.994E-05 5.836E-05 4.604E-09 3.491E-02
4.816E+02 2.791E+05 5.490E+05 4.257E+03 5.167E+01 1.049E+04 1.420E+05 7.399E+05 1.999E+02 1.942E+03 1.456E+02 3.689E+01 8.902E+05 1.334E+04 1.517E+02 5.854E+01 8.419E+04 1.135E+06 5.311E+04 5.875E+04 2.023E+02 1.799E+05 2.566E+03 9.135E+03 1.449E+02 6.766E+01 5.171E+04 9.672E+03 3.990E+05 1.091E+03 1.362E+03 5.275E+05 1.519E+04 1.602E+02 1.965E+04 7.465E+02 1.789E-01 1.488E+05
2.707E+02 1.436E+05 3.136E+05 3.352E+03 1.169E+00 5.859E+02 9.570E+04 4.789E+05 1.057E+01 1.113E+02 5.556E+01 1.936E+01 5.726E+05 8.668E+03 5.480E+01 1.964E+01 5.422E+04 7.302E+05 3.820E+04 2.630E+04 1.115E+01 1.397E+05 1.143E+03 5.169E+02 5.279E+01 3.615E+01 2.689E+04 6.947E+03 2.398E+05 6.926E+01 8.514E+01 3.771E+05 1.050E+04 9.309E+00 1.202E+03 2.837E+02 2.083E-02 9.782E+04
1D
- 3D2 3D - 3F 2 3 3D - 1F 2 3 3D - 3D 2 3 3P - 3F 2 3 3P - 1F 2 3 3P - 3D 2 3 1D - 3F 2 3 1D - 1F 2 3 1D - 3D 2 3 3D - 3P 3 2 3D - 3F 3 2 3D - 1D 3 2 3D - 3D 3 2 3D - 3F 3 3 3D - 1F 3 3 3D - 3D 3 3 3D - 3F 3 4 5 5p 8p - 5p57d 3P - 3P 0 1 3P - 3D 0 1 3P - 1P 0 1 1S - 3P 0 1 1S - 3D 0 1 1S - 1P 0 1 3S - 3P 1 0 3D - 3P 1 0 1P - 3P 1 0 3P - 3P 1 0 3S - 3P 1 1 3S - 3D 1 1 3S - 1P 1 1 3D - 3P 1 1 3D - 3D 1 1 3D - 1P 1 1 1P - 3P 1 1 1P - 3D 1 1 1P - 1P 1 1 2
5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7
5 7 7 7 7 7 7 7 7 7 5 5 5 5 7 7 7 9
4590.09 4771.37 4972.51 15418.08 4455.19 4656.33 15101.89 5975.59 5774.45 4671.11 4653.9 4866.09 15273.75 15280.59 4714.9 4916.04 15361.6 4579.75
6.395E-02 4.247E-01 3.918E-02 1.475E-05 9.149E-04 5.066E-01 1.178E-05 5.331E-05 1.231E-07 6.644E-01 2.208E-02 1.008E-02 4.945E-06 5.268E-05 1.045E-01 1.250E-01 1.278E-04 8.376E-01
4.174E-02 2.713E-01 2.205E-02 1.067E-06 7.888E-04 3.209E-01 6.739E-07 1.952E-05 5.405E-08 4.184E-01 1.403E-02 5.881E-03 2.932E-07 3.105E-06 6.481E-02 7.107E-02 7.463E-06 5.487E-01
1.798E+05 9.214E+05 9.232E+04 3.341E+02 1.730E+03 1.047E+06 2.560E+02 2.540E+02 5.474E-01 1.381E+06 6.379E+04 3.183E+04 1.539E+02 1.641E+03 2.213E+05 2.879E+05 2.874E+03 1.302E+06
1.173E+05 5.886E+05 5.195E+04 2.418E+01 1.492E+03 6.630E+05 1.465E+01 9.297E+01 2.404E-01 8.699E+05 4.054E+04 1.858E+04 9.123E+00 9.673E+01 1.373E+05 1.637E+05 1.678E+02 8.530E+05
1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 1 1 1 1 3 3 3 3 3 3 3 3 3
547.55 1689.08 11898.85 10000.68 8859.15 1350.62 638.16 524.65 10026.86 10062.46 759.23 1900.76 12110.53 645.73 1787.26 11997.03 9905.78 8764.26 1445.51
2.726E-03 4.105E-01 7.637E-03 1.641E-03 6.041E-03 3.887E-01 9.892E-02 7.347E-03 2.948E-06 8.574E-05 2.727E-01 5.861E-04 2.012E-03 8.620E-03 3.554E-01 4.640E-03 6.749E-04 3.079E-03 2.065E-01
1.666E-02 2.642E-01 9.964E-05 2.831E-05 1.323E-04 3.682E-01 4.264E-01 4.319E-02 5.400E-08 1.488E-06 8.328E-01 5.460E-04 2.539E-05 3.155E-02 1.997E-01 5.928E-05 1.179E-05 6.895E-05 1.708E-01
1.817E+02 2.604E+05 2.404E+05 1.095E+05 3.163E+05 1.576E+05 2.687E+04 1.349E+03 6.590E+01 1.930E+03 3.494E+04 4.708E+02 6.561E+04 7.991E+02 2.524E+05 1.485E+05 1.472E+04 5.258E+04 9.596E+04
1.111E+03 1.676E+05 3.137E+03 1.889E+03 6.925E+03 1.493E+05 1.158E+05 7.930E+03 1.207E+00 3.350E+01 1.067E+05 4.386E+02 8.279E+02 2.925E+03 1.418E+05 1.897E+03 2.572E+02 1.178E+03 7.934E+04
28
3P
- 3P1 3P - 3D 1 1 3P - 1P 1 1 3S - 3P 1 2 3S - 3F 1 2 3S - 1D 1 2 3S - 3D 1 2 3D - 3P 1 2 3D - 3F 1 2 3D - 1D 1 2 3D - 3D 1 2 1P - 3P 1 2 1P - 3F 1 2 1P - 1D 1 2 1P - 3D 1 2 3P - 3P 1 2 3P - 3F 1 2 3P - 1D 1 2 3P - 3D 1 2 3D - 3P 2 1 3D - 3D 2 1 3D - 1P 2 1 3P - 3P 2 1 3P - 3D 2 1 3P - 1P 2 1 1D - 3P 2 1 1D - 3D 2 1 1D - 1P 2 1 3D - 3P 2 2 3D - 3F 2 2 3D - 1D 2 2 3D - 3D 2 2 3P - 3P 2 2 3P - 3F 2 2 3P - 1D 2 2 3P - 3D 2 2 1D - 3P 2 2 1D - 3F 2 2 1
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5
9941.38 8799.85 1409.92 923.15 1135.34 11543 11549.84 809.65 1021.84 11429.5 11436.34 9741.87 9529.67 877.98 884.82 9777.46 9565.27 842.39 849.22 705.8 1847.32 12057.09 628.76 1770.28 11980.05 9951.33 8809.8 1399.97 869.71 1081.91 11489.56 11496.4 792.67 1004.87 11412.52 11419.36 9787.41 9575.22
2.760E-05 1.485E-03 8.827E-02 2.621E-01 2.195E-02 2.414E-05 7.282E-04 6.117E-02 5.023E-01 7.974E-04 4.182E-04 5.841E-05 1.058E-03 6.212E-01 1.321E-02 2.678E-03 9.770E-05 4.357E-02 5.360E-01 2.544E-02 2.948E-02 4.081E-05 5.127E-02 8.084E-04 8.274E-04 1.240E-04 2.847E-04 1.723E-02 1.462E-02 3.166E-01 5.958E-04 2.309E-04 2.781E-01 1.093E-02 5.824E-07 3.009E-03 9.857E-04 7.435E-05 29
5.707E-07 3.498E-05 8.158E-02 5.531E-01 2.576E-02 2.325E-07 9.650E-06 1.770E-01 8.575E-01 1.101E-05 6.144E-06 1.009E-06 1.995E-05 1.393E+00 2.910E-02 5.169E-05 2.080E-06 1.129E-01 1.365E+00 8.691E-02 1.499E-02 5.077E-07 2.360E-01 5.024E-04 1.059E-05 2.281E-06 6.759E-06 1.616E-02 3.175E-02 4.673E-01 7.772E-06 2.929E-06 8.090E-01 1.874E-02 5.403E-09 4.218E-05 1.884E-05 1.529E-06
6.064E+02 2.556E+04 3.902E+04 2.980E+04 3.775E+03 4.290E+02 1.296E+04 5.349E+03 6.997E+04 1.390E+04 7.296E+03 1.233E+03 2.137E+04 6.388E+04 1.380E+03 5.693E+04 1.987E+03 4.125E+03 5.157E+04 2.818E+03 2.237E+04 1.319E+03 4.507E+03 5.633E+02 2.640E+04 1.638E+03 2.947E+03 7.509E+03 1.476E+03 4.944E+04 1.049E+04 4.072E+03 2.331E+04 1.472E+03 1.012E+01 5.234E+04 1.260E+04 9.094E+02
1.254E+01 6.022E+02 3.606E+04 6.288E+04 4.430E+03 4.133E+00 1.717E+02 1.548E+04 1.194E+05 1.918E+02 1.072E+02 2.129E+01 4.028E+02 1.432E+05 3.039E+03 1.099E+03 4.232E+01 1.069E+04 1.313E+05 9.626E+03 1.137E+04 1.641E+01 2.075E+04 3.500E+02 3.380E+02 3.013E+01 6.998E+01 7.041E+03 3.204E+03 7.298E+04 1.369E+02 5.164E+01 6.781E+04 2.525E+03 9.387E-02 7.337E+02 2.408E+02 1.870E+01
1D
- 1D2 1D - 3D 2 2 3D - 3F 2 3 3D - 1F 2 3 3D - 3D 2 3 3P - 3F 2 3 3P - 1F 2 3 3P - 3D 2 3 1D - 3F 2 3 1D - 1F 2 3 1D - 3D 2 3 3D - 3P 3 2 3D - 3F 3 2 3D - 1D 3 2 3D - 3D 3 2 3D - 3F 3 3 3D - 1F 3 3 3D - 3D 3 3 3D - 3F 3 4 5p57s - 5p58p 3P - 3P 1 0 1P - 3P 1 0 3P - 1S 1 0 1P - 1S 1 0 3P - 3S 0 1 3P - 3D 0 1 3P - 1P 0 1 3P - 3P 0 1 3P - 3S 1 1 1P - 3S 1 1 3P - 3D 1 1 1P - 3D 1 1 3P - 1P 1 1 1P - 1P 1 1 3P - 3P 1 1 1P - 3P 1 1 3P - 3S 2 1 3P - 3D 2 1 2
5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7
5 5 7 7 7 7 7 7 7 7 7 5 5 5 5 7 7 7 9
832.44 839.28 930.71 1131.85 11577.41 853.67 1054.81 11500.37 9726.41 9525.27 920.29 854.6 1066.8 11474.45 11481.29 915.6 1116.74 11562.3 780.45
6.954E-02 8.576E-02 9.474E-01 6.385E-02 1.379E-03 3.534E-03 8.462E-01 1.689E-04 1.456E-03 1.704E-04 9.616E-01 2.959E-02 1.586E-02 2.659E-05 2.888E-04 1.468E-01 2.088E-01 6.992E-04 1.049E+00
1.845E-01 2.236E-01 1.893E+00 9.007E-02 1.753E-05 7.385E-03 1.398E+00 2.251E-06 2.856E-05 3.441E-06 2.085E+00 7.442E-02 2.562E-02 3.714E-07 4.024E-06 3.217E-01 3.075E-01 9.610E-06 3.161E+00
6.428E+03 8.058E+03 7.820E+04 7.794E+03 1.761E+04 2.454E+02 8.971E+04 2.129E+03 1.838E+04 2.062E+03 7.761E+04 2.883E+03 2.408E+03 4.671E+02 5.078E+03 1.172E+04 2.482E+04 8.907E+03 4.734E+04
1.705E+04 2.101E+04 1.562E+05 1.099E+04 2.239E+02 5.128E+02 1.482E+05 2.837E+01 3.605E+02 4.166E+01 1.683E+05 7.251E+03 3.890E+03 6.524E+00 7.077E+01 2.570E+04 3.654E+04 1.224E+02 1.427E+05
3 3 3 3 1 1 1 1 3 3 3 3 3 3 3 3 5 5
1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3
6773.18 3775.42 17321.42 6772.81 3943.09 3829.59 6721.93 6757.52 6561.5 3987.1 6675.01 3873.6 17226.52 6677.92 17262.12 6713.51 6658.24 6771.74
4.362E-02 1.158E-07 2.636E-08 3.100E-02 1.919E-06 9.421E-08 3.132E-02 8.648E-02 1.221E-02 1.218E-06 1.103E-01 9.597E-07 2.869E-07 6.059E-02 3.048E-07 4.378E-02 9.390E-02 3.787E-03
8.330E-03 7.523E-08 5.378E-10 5.740E-03 1.089E-06 5.421E-08 5.889E-03 1.659E-02 2.551E-03 6.549E-07 2.154E-02 5.632E-07 7.328E-09 1.154E-02 8.402E-09 8.509E-03 1.816E-02 6.612E-04
1.335E+06 3.671E-01 5.276E+00 9.486E+05 1.990E+01 9.216E-01 3.146E+05 8.780E+05 1.169E+05 4.306E+00 1.093E+06 3.202E+00 1.893E+01 6.008E+05 2.019E+01 4.387E+05 9.256E+05 3.862E+04
2.549E+05 2.384E-01 1.076E-01 1.756E+05 1.129E+01 5.303E-01 5.916E+04 1.685E+05 2.442E+04 2.315E+00 2.134E+05 1.879E+00 4.835E-01 1.144E+05 5.566E-01 8.527E+04 1.790E+05 6.741E+03
30
3P
- 1P1 3P - 3P 2 1 3P - 3D 1 2 1P - 3D 1 2 3P - 3P 1 2 1P - 3P 1 2 3P - 1D 1 2 1P - 1D 1 2 3P - 3D 2 2 3P - 3P 2 2 3P - 1D 2 2 3P - 3D 2 3 5 5p 5d - 5p58p 3P - 3S 0 1 3P - 3D 0 1 3P - 1P 0 1 3P - 3P 0 1 3P - 3P 1 0 3P - 1S 1 0 3D - 3P 1 0 3D - 1S 1 0 1P - 3P 1 0 1P - 1S 1 0 3P - 3S 1 1 3P - 3D 1 1 3P - 1P 1 1 3P - 3P 1 1 3D - 3S 1 1 3D - 3D 1 1 3D - 1P 1 1 3D - 3P 1 1 1P - 3S 1 1 1P - 3D 1 1 1P - 1P 1 1 1P - 3P 1 1 3P - 3D 1 2 3P - 3P 1 2 3P - 1D 1 2 2
5 5 3 3 3 3 3 3 5 5 5 5
3 3 5 5 5 5 5 5 5 5 5 7
17323.26 17358.85 6614.94 3933.66 6691.98 3856.62 17272.07 6723.46 6711.68 6788.72 17368.8 6726.79
6.739E-07 1.357E-05 1.101E-01 8.461E-07 7.297E-02 3.351E-06 1.850E-05 2.165E-01 4.417E-02 1.423E-01 2.554E-06 3.032E-01
1.969E-08 3.863E-07 2.149E-02 4.588E-07 1.436E-02 1.982E-06 5.470E-07 4.196E-02 8.250E-03 2.694E-02 7.283E-08 5.871E-02
4.497E+01 9.092E+02 6.425E+05 2.911E+00 4.359E+05 1.108E+01 7.364E+02 1.306E+06 2.654E+05 8.750E+05 1.028E+02 1.308E+06
1.314E+00 2.588E+01 1.254E+05 1.578E+00 8.580E+04 6.555E+00 2.177E+01 2.530E+05 4.958E+04 1.656E+05 2.931E+00 2.532E+05
1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5
12324.79 12438.29 22989.81 23025.41 12034.68 22582.92 7064.54 17612.77 2639.8 7908.43 11823 11936.5 22488.02 22523.62 6852.86 6966.36 17517.88 17553.47 2851.48 2737.98 7813.53 7849.13 11876.44 11953.48 22533.57
2.715E-03 2.203E-04 1.028E-08 2.792E-07 1.673E-04 1.032E-04 2.378E-03 3.495E-04 5.622E-05 2.979E-03 5.989E-03 1.081E-04 4.903E-05 1.749E-05 4.448E-06 1.974E-03 1.742E-04 8.589E-05 1.387E-05 3.478E-05 1.461E-03 7.020E-04 5.321E-04 1.444E-03 5.537E-06
3.099E-03 2.323E-04 3.487E-09 9.139E-08 2.184E-04 3.466E-05 8.694E-03 1.930E-04 1.479E-03 8.167E-03 7.497E-03 1.070E-04 1.659E-05 6.198E-06 6.895E-06 7.261E-03 9.725E-05 4.981E-05 3.166E-04 8.462E-04 4.102E-03 2.040E-03 6.380E-04 1.809E-03 1.950E-06
9.168E+04 7.579E+03 1.208E+00 3.291E+01 1.617E+04 3.509E+04 7.915E+04 7.232E+04 8.710E+01 1.243E+05 1.861E+05 3.424E+03 5.513E+03 1.973E+03 4.644E+01 2.130E+04 1.189E+04 5.885E+03 2.507E+01 5.798E+01 1.983E+04 9.616E+03 1.001E+04 2.753E+04 3.750E+02
1.047E+05 7.990E+03 4.098E-01 1.077E+01 2.110E+04 1.179E+04 2.894E+05 3.993E+04 2.291E+03 3.407E+05 2.330E+05 3.391E+03 1.866E+03 6.991E+02 7.200E+01 7.834E+04 6.635E+03 3.412E+03 5.724E+02 1.410E+03 5.568E+04 2.795E+04 1.201E+04 3.449E+04 1.321E+02
31
3D
- 3D2 3D - 3P 1 2 3D - 1D 1 2 1P - 3D 1 2 1P - 3P 1 2 1P - 1D 1 2 3P - 3S 2 1 3P - 3D 2 1 3P - 1P 2 1 3P - 3P 2 1 3F - 3S 2 1 3F - 3D 2 1 3F - 1P 2 1 3F - 3P 2 1 1D - 3S 2 1 1D - 3D 2 1 1D - 1P 2 1 1D - 3P 2 1 3D - 3D 2 1 3D - 1P 2 1 3D - 3P 2 1 3P - 3D 2 2 3P - 3P 2 2 3P - 1D 2 2 3F - 3D 2 2 3F - 3P 2 2 3F - 1D 2 2 1D - 3D 2 2 1D - 3P 2 2 1D - 1D 2 2 3D - 3D 2 2 3D - 3P 2 2 3D - 1D 2 2 3P - 3D 2 3 3F - 3D 2 3 1D - 3D 2 3 3D - 3D 2 3 3F - 3D 3 2 1
3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7
5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 5
6906.3 6983.34 17563.42 2798.05 2721.01 7859.08 11005.32 11118.82 21670.33 21705.93 9721.76 9835.26 20386.78 20422.37 113.86 227.36 10778.88 10814.47 114.27 10665.79 10701.39 11058.75 11135.79 21715.88 9775.2 9852.24 20432.32 167.3 244.34 10824.42 54.21 131.25 10711.33 11073.86 9790.31 182.41 69.32 10661.21
1.816E-04 1.595E-08 1.659E-05 5.640E-07 4.036E-06 1.378E-04 4.453E-03 1.332E-03 1.407E-05 3.539E-04 2.352E-04 6.894E-03 1.344E-04 1.701E-05 3.310E-08 1.001E-06 1.008E-02 1.562E-03 2.849E-07 6.546E-04 9.188E-03 2.200E-04 5.686E-03 7.449E-05 3.959E-03 1.684E-04 1.422E-05 5.007E-07 6.022E-08 1.050E-03 1.908E-08 1.327E-06 1.916E-03 5.584E-04 2.263E-04 3.865E-08 6.690E-08 1.545E-02 32
6.565E-04 1.822E-08 9.634E-06 1.281E-05 1.004E-04 3.996E-04 6.604E-03 2.047E-03 5.093E-06 1.378E-04 3.734E-04 1.258E-02 5.537E-05 7.466E-06 3.959E-04 3.413E-03 1.488E-02 2.429E-03 4.140E-03 9.854E-04 1.471E-02 2.910E-04 8.332E-03 2.879E-05 7.115E-03 2.858E-04 6.080E-06 3.068E-03 1.712E-04 1.594E-03 1.050E-03 1.401E-02 3.043E-03 8.268E-04 4.192E-04 2.068E-04 2.529E-03 2.335E-02
1.155E+03 1.038E-01 6.825E+02 9.817E-01 6.644E+00 1.136E+03 1.199E+05 3.660E+04 1.469E+03 3.707E+04 4.942E+03 1.483E+05 1.242E+04 1.577E+03 9.541E-05 1.150E-02 2.605E+05 4.062E+04 8.272E-04 1.656E+04 2.339E+05 3.590E+03 9.406E+04 4.686E+03 5.046E+04 2.181E+03 7.917E+02 1.869E-03 4.796E-04 1.641E+04 7.482E-06 3.050E-03 2.933E+04 6.525E+03 2.067E+03 1.226E-04 3.063E-05 2.343E+05
4.177E+03 1.185E-01 3.965E+02 2.230E+01 1.653E+02 3.293E+03 1.779E+05 5.628E+04 5.318E+02 1.443E+04 7.846E+03 2.706E+05 5.116E+03 6.924E+02 1.141E+00 3.923E+01 3.845E+05 6.318E+04 1.202E+01 2.492E+04 3.745E+05 4.748E+03 1.378E+05 1.811E+03 9.070E+04 3.700E+03 3.386E+02 1.145E+01 1.363E+00 2.492E+04 4.115E-01 3.219E+01 4.657E+04 9.662E+03 3.828E+03 6.555E-01 1.158E+00 3.540E+05
3F
- 3P2 3F - 1D 3 2 1F - 3D 3 2 1F - 3P 3 2 1F - 1D 3 2 3D - 3D 3 2 3D - 3P 3 2 3D - 1D 3 2 3F - 3D 3 3 1F - 3D 3 3 3D - 3D 3 3 3F - 3D 4 3 5 5p 6d - 5p58p 3P - 3S 0 1 3P - 3D 0 1 3P - 1P 0 1 3P - 3P 0 1 3P - 3P 1 0 3P - 1S 1 0 3D - 3P 1 0 3D - 1S 1 0 1P - 3P 1 0 1P - 1S 1 0 3P - 3S 1 1 3P - 3D 1 1 3P - 1P 1 1 3P - 3P 1 1 3D - 3S 1 1 3D - 3D 1 1 3D - 1P 1 1 3D - 3P 1 1 1P - 3S 1 1 1P - 3D 1 1 1P - 1P 1 1 1P - 3P 1 1 3P - 3D 1 2 3P - 3P 1 2 3P - 1D 1 2 3
7 7 7 7 7 7 7 7 7 7 7 9
5 5 5 5 5 5 5 5 7 7 7 7
10738.25 21318.34 9558.18 9635.22 20215.31 172.99 95.95 10484.14 10676.32 9573.29 157.88 11310.96
2.730E-08 1.245E-04 4.494E-04 1.158E-02 5.471E-05 7.177E-07 1.949E-07 1.627E-02 2.244E-03 2.956E-03 4.397E-07 2.269E-02
1.673E-07 5.028E-05 8.995E-04 2.285E-02 2.452E-05 4.071E-03 3.828E-03 2.711E-02 3.527E-03 5.908E-03 3.192E-03 3.249E-02
4.200E-01 7.548E+03 5.477E+03 1.434E+05 2.983E+03 2.047E-03 1.710E-04 2.385E+05 2.438E+04 2.581E+04 1.044E-03 2.766E+05
2.573E+00 3.049E+03 1.096E+04 2.830E+05 1.337E+03 1.161E+01 3.358E+00 3.975E+05 3.830E+04 5.160E+04 7.581E+00 3.960E+05
1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5
3368.95 3482.45 14033.96 14069.56 3340.78 13889.01 1053.9 11602.13 8853.7 1694.53 3129.09 3242.6 13794.11 13829.71 842.22 955.72 11507.24 11542.83 9065.38 8951.88 1599.63 1635.23 3182.53 3259.57 13839.66
1.443E-02 1.235E-03 1.200E-07 3.316E-06 5.893E-04 2.581E-04 7.290E-03 9.833E-04 7.689E-04 1.311E-02 3.111E-02 8.974E-04 1.165E-04 2.573E-05 3.377E-06 5.363E-03 4.932E-04 2.428E-04 2.015E-04 4.587E-04 6.145E-03 2.941E-03 2.994E-03 7.629E-03 1.583E-05
2.688E-02 2.055E-03 1.323E-08 3.544E-07 1.163E-03 2.802E-05 1.430E-01 1.529E-04 2.142E-04 9.573E-02 6.740E-02 1.633E-03 1.280E-05 2.948E-06 1.904E-04 1.261E-01 7.795E-05 3.940E-05 5.378E-05 1.247E-04 5.033E-02 2.384E-02 6.139E-03 1.551E-02 1.788E-06
3.642E+04 3.330E+03 5.257E+00 1.460E+02 4.387E+03 3.321E+04 5.401E+03 8.828E+04 1.340E+04 2.512E+04 6.772E+04 2.098E+03 4.929E+03 1.094E+03 5.326E-01 1.089E+03 1.452E+04 7.193E+03 3.683E+03 8.174E+03 3.496E+03 1.748E+03 4.046E+03 1.081E+04 4.046E+02
6.784E+04 5.542E+03 5.792E-01 1.560E+01 8.661E+03 3.605E+03 1.059E+05 1.372E+04 3.734E+03 1.833E+05 1.467E+05 3.818E+03 5.416E+02 1.254E+02 3.002E+01 2.562E+04 2.295E+03 1.167E+03 9.827E+02 2.222E+03 2.864E+04 1.417E+04 8.296E+03 2.198E+04 4.567E+01
33
3D
- 3D2 3D - 3P 1 2 3D - 1D 1 2 1P - 3D 1 2 1P - 3P 1 2 1P - 1D 1 2 3P - 3S 2 1 3P - 3D 2 1 3P - 1P 2 1 3P - 3P 2 1 3F - 3S 2 1 3F - 3D 2 1 3F - 1P 2 1 3F - 3P 2 1 1D - 3S 2 1 1D - 3D 2 1 1D - 1P 2 1 1D - 3P 2 1 3D - 3S 2 1 3D - 3D 2 1 3D - 1P 2 1 3D - 3P 2 1 3P - 3D 2 2 3P - 3P 2 2 3P - 1D 2 2 3F - 3D 2 2 3F - 3P 2 2 3F - 1D 2 2 1D - 3D 2 2 1D - 3P 2 2 1D - 1D 2 2 3D - 3D 2 2 3D - 3P 2 2 3D - 1D 2 2 3P - 3D 2 3 3F - 3D 2 3 1D - 3D 2 3 3D - 3D 2 3 1
3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7
895.66 972.7 11552.78 9011.95 8934.91 1645.18 2786.5 2900 13451.51 13487.11 2320.48 2433.99 12985.5 13021.1 7846.83 7733.33 2818.19 2853.78 7868.46 7754.95 2796.56 2832.16 2839.93 2916.98 13497.06 2373.92 2450.96 13031.05 7793.39 7716.35 2863.73 7815.02 7737.98 2842.11 2855.04 2389.03 7778.28 7799.91
4.098E-04 7.098E-06 4.700E-05 5.401E-06 6.668E-05 5.813E-04 2.228E-02 6.618E-03 1.998E-05 6.133E-04 1.093E-03 3.345E-02 2.157E-04 2.492E-05 3.730E-06 8.581E-05 5.290E-02 6.404E-03 1.232E-04 5.056E-05 2.361E-03 4.936E-02 1.194E-03 2.931E-02 1.552E-04 1.888E-02 7.614E-04 2.059E-05 5.956E-05 2.278E-06 5.959E-03 1.237E-05 2.528E-04 9.343E-03 2.840E-03 1.043E-03 3.623E-06 2.442E-05 34
1.074E-02 1.785E-04 7.641E-06 1.431E-06 1.823E-05 4.656E-03 6.178E-02 1.753E-02 2.285E-06 7.362E-05 3.905E-03 1.206E-01 2.675E-05 3.244E-06 1.144E-06 3.071E-05 1.396E-01 1.712E-02 4.273E-05 1.877E-05 6.322E-03 1.342E-01 2.998E-03 7.485E-02 1.853E-05 7.026E-02 2.629E-03 2.638E-06 2.054E-05 7.929E-07 1.573E-02 4.128E-06 9.174E-05 2.519E-02 7.579E-03 3.953E-03 1.295E-06 8.732E-06
4.386E+01 8.959E-01 8.369E+02 9.754E+01 1.184E+03 2.099E+02 3.846E+04 1.237E+04 8.037E+02 2.481E+04 1.309E+03 4.406E+04 8.087E+03 9.395E+02 3.064E+01 6.846E+02 9.342E+04 1.160E+04 1.018E+03 4.057E+02 4.106E+03 8.803E+04 1.285E+03 3.328E+04 3.771E+03 1.420E+04 6.102E+02 4.664E+02 4.826E+02 1.810E+01 6.520E+03 1.008E+02 2.020E+03 1.007E+04 2.206E+03 5.673E+02 2.924E+01 1.982E+02
1.150E+03 2.254E+01 1.360E+02 2.583E+01 3.237E+02 1.681E+03 1.067E+05 3.278E+04 9.194E+01 2.978E+03 4.675E+03 1.589E+05 1.003E+03 1.223E+02 9.394E+00 2.450E+02 2.466E+05 3.100E+04 3.529E+02 1.506E+02 1.099E+04 2.393E+05 3.226E+03 8.496E+04 4.504E+02 5.282E+04 2.107E+03 5.977E+01 1.664E+02 6.298E+00 1.721E+04 3.363E+01 7.328E+02 2.715E+04 5.887E+03 2.150E+03 1.045E+01 7.087E+01
3F
- 3D2 3F - 3P 3 2 3F - 1D 3 2 1F - 3D 3 2 1F - 3P 3 2 1F - 1D 3 2 3D - 3D 3 2 3D - 3P 3 2 3D - 1D 3 2 3F - 3D 3 3 1F - 3D 3 3 3D - 3D 3 3 3F - 3D 4 3 5 5p 6s - 5p58p 3P - 3S 0 1 3P - 3D 0 1 3P - 1P 0 1 3P - 3P 0 1 3P - 3P 1 0 3P - 1S 1 0 1P - 3P 1 0 1P - 1S 1 0 3P - 3S 1 1 3P - 3D 1 1 3P - 1P 1 1 3P - 3P 1 1 1P - 3S 1 1 1P - 3D 1 1 1P - 1P 1 1 1P - 3P 1 1 3P - 3D 1 2 3P - 3P 1 2 3P - 1D 1 2 1P - 3D 1 2 1P - 3P 1 2 1P - 1D 1 2 3P - 3S 2 1 3P - 3D 2 1 3
7 7 7 7 7 7 7 7 7 7 7 7 9
5 5 5 5 5 5 5 5 5 7 7 7 7
2702.96 2780 13360.08 2274.49 2351.53 12931.61 7965.78 7888.74 2691.35 2718.07 2289.6 7950.67 2995.97
7.541E-02 1.527E-04 2.830E-04 3.175E-03 5.459E-02 5.079E-05 1.244E-04 2.626E-05 8.111E-02 1.219E-02 1.272E-02 6.350E-05 1.162E-01
2.165E-01 3.725E-04 3.468E-05 1.327E-02 2.153E-01 6.620E-06 4.085E-05 9.056E-06 2.442E-01 3.578E-02 5.292E-02 2.182E-05 2.822E-01
7.350E+04 1.574E+02 6.740E+03 2.191E+03 4.027E+04 1.133E+03 7.521E+02 1.557E+02 7.837E+04 8.583E+03 6.353E+03 3.825E+02 9.937E+04
2.110E+05 3.840E+02 8.258E+02 9.159E+03 1.588E+05 1.477E+02 2.470E+02 5.370E+01 2.359E+05 2.519E+04 2.643E+04 1.315E+02 2.414E+05
1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 5
3 3 3 3 1 1 1 1 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3
13823.7 13937.21 24488.72 24524.32 23614.16 34162.4 13548.83 24097.07 23402.48 23515.99 34067.5 34103.1 13337.15 13450.65 24002.17 24037.77 23455.92 23532.96 34113.05 13390.59 13467.63 24047.72 24377.21 24490.72
3.109E-08 7.828E-10 2.948E-04 1.323E-03 6.376E-04 1.413E-06 1.471E-06 2.826E-04 2.580E-04 1.466E-03 2.880E-06 3.492E-06 3.889E-07 3.501E-06 5.565E-04 6.556E-04 1.106E-03 1.168E-03 2.031E-05 2.539E-06 3.202E-06 3.245E-03 1.040E-03 8.121E-06
4.860E-08 7.623E-10 1.029E-04 6.275E-04 3.259E-04 2.423E-07 2.317E-06 1.015E-04 1.571E-04 7.140E-04 4.987E-07 8.441E-07 7.749E-07 5.243E-06 2.010E-04 3.230E-04 4.517E-04 6.267E-04 4.997E-06 3.143E-06 5.237E-06 1.600E-03 4.101E-04 7.330E-08
1.321E+00 3.381E-02 3.931E+04 1.769E+05 2.372E+05 1.100E+03 1.802E+02 1.095E+05 3.141E+04 1.803E+05 7.431E+02 9.031E+02 1.538E+01 1.408E+02 7.128E+04 8.423E+04 8.117E+04 8.629E+04 3.154E+03 6.074E+01 7.747E+01 2.504E+05 1.374E+05 1.083E+03
2.065E+00 3.292E-02 1.372E+04 8.391E+04 1.212E+05 1.886E+02 2.837E+02 3.931E+04 1.913E+04 8.779E+04 1.287E+02 2.183E+02 3.065E+01 2.109E+02 2.575E+04 4.150E+04 3.315E+04 4.630E+04 7.758E+02 7.519E+01 1.267E+02 1.234E+05 5.418E+04 9.776E+00
35
3P
- 1P1 3P - 3P 2 1 3P - 3D 2 2 3P - 3P 2 2 3P - 1D 2 2 3P - 3D 2 3 5 5p 4f - 5p58d 3D - 3P 1 0 3D - 3P 1 1 3D - 3D 1 1 3D - 1P 1 1 3D - 3P 2 1 1D - 3P 2 1 3F - 3P 2 1 3D - 3D 2 1 1D - 3D 2 1 3F - 3D 2 1 3D - 1P 2 1 1D - 1P 2 1 3F - 1P 2 1 3D - 3P 1 2 3D - 3F 1 2 3D - 1D 1 2 3D - 3D 1 2 3D - 3P 2 2 1D - 3P 2 2 3F - 3P 2 2 3D - 3F 2 2 1D - 3F 2 2 3F - 3F 2 2 3D - 1D 2 2 1D - 1D 2 2 3F - 1D 2 2 3D - 3D 2 2 1D - 3D 2 2 3F - 3D 2 2 3D - 3P 3 2 1F - 3P 3 2 2
5 5 5 5 5 5
3 3 5 5 5 7
35042.23 35077.83 24430.65 24507.69 35087.78 24445.76
5.805E-09 8.366E-08 3.480E-04 2.033E-03 1.652E-08 4.639E-03
1.356E-09 1.603E-08 1.052E-04 9.338E-04 3.267E-09 2.213E-03
1.585E+00 2.289E+01 2.771E+04 1.629E+05 2.714E+00 2.642E+05
3.701E-01 4.386E+00 8.376E+03 7.482E+04 5.365E-01 1.260E+05
3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 7 7
1 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
3377.21 3445.36 4086.3 14461.87 3442.2 3350.01 7254.21 4083.14 3990.95 6613.26 14458.71 14366.52 3762.31 3535.51 3649.8 14152.99 14156.16 3532.35 3440.16 7164.06 3646.64 3554.45 7049.77 14149.83 14057.64 3453.42 14153 14060.82 3456.6 3442.87 3398.66
1.253E-02 1.254E-02 2.718E-04 4.949E-06 1.521E-02 1.024E-02 7.292E-06 2.067E-02 2.372E-02 8.698E-05 1.255E-04 7.483E-05 4.181E-02 1.308E-03 5.811E-04 7.011E-08 1.168E-06 1.213E-02 3.026E-03 4.860E-07 2.224E-05 1.075E-02 2.786E-06 1.212E-07 5.501E-06 3.592E-03 9.600E-06 8.128E-07 3.513E-03 4.748E-02 2.977E-07
1.410E-02 1.358E-02 2.069E-04 3.055E-07 1.653E-02 1.170E-02 1.780E-06 1.600E-02 1.917E-02 2.555E-05 7.742E-06 4.669E-06 3.793E-02 1.347E-03 5.591E-04 4.477E-09 7.508E-08 1.253E-02 3.288E-03 1.224E-07 2.228E-05 1.093E-02 7.195E-07 7.859E-09 3.574E-07 3.866E-03 6.176E-07 5.268E-08 3.793E-03 5.162E-02 1.498E-07
9.529E+04 3.310E+04 1.009E+03 2.301E+02 4.007E+04 2.555E+04 5.119E+01 7.664E+04 8.399E+04 5.075E+02 5.834E+03 3.434E+03 1.316E+05 2.180E+03 1.033E+03 1.874E+00 3.123E+01 2.018E+04 4.777E+03 3.328E+00 3.945E+01 1.812E+04 1.847E+01 3.236E+00 1.450E+02 5.715E+03 2.565E+02 2.144E+01 5.600E+03 7.507E+04 4.588E-01
1.073E+05 3.584E+04 7.680E+02 1.421E+01 4.354E+04 2.919E+04 1.250E+01 5.931E+04 6.787E+04 1.491E+02 3.598E+02 2.143E+02 1.194E+05 2.247E+03 9.936E+02 1.196E-01 2.007E+00 2.085E+04 5.190E+03 8.380E-01 3.952E+01 1.842E+04 4.771E+00 2.099E-01 9.421E+00 6.151E+03 1.650E+01 1.390E+00 6.046E+03 8.163E+04 2.309E-01
36
3G
- 3P2 3F - 3P 3 2 3D - 3F 3 2 1F - 3F 3 2 3G - 3F 3 2 3F - 3F 3 2 3D - 1D 3 2 1F - 1D 3 2 3G - 1D 3 2 3F - 1D 3 2 3D - 3D 3 2 1F - 3D 3 2 3G - 3D 3 2 3F - 3D 3 2 3D - 3F 2 3 1D - 3F 2 3 3F - 3F 2 3 3D - 1F 2 3 1D - 1F 2 3 3F - 1F 2 3 3D - 3D 2 3 1D - 3D 2 3 3F - 3D 2 3 3D - 3F 3 3 1F - 3F 3 3 3G - 3F 3 3 3F - 3F 3 3 3D - 1F 3 3 1F - 1F 3 3 3G - 1F 3 3 3F - 1F 3 3 3D - 3D 3 3 1F - 3D 3 3 3G - 3D 3 3 3F - 3D 3 3 1G - 3F 4 3 3F - 3F 4 3 3G - 3F 4 3 3
7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9
5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
7161.29 7161.41 3557.16 3512.95 7047 7047.12 14060.35 14016.13 3456.19 3456.07 14063.53 14019.31 3459.37 3459.25 3565.01 3472.83 7131.39 3674.98 3582.79 7021.43 14199.66 14107.48 3503.26 3475.53 3431.32 7128.62 7128.75 3585.5 3541.29 7018.66 7018.78 14110.18 14065.97 3506.03 3505.9 3523.3 3431.29 7129
8.085E-07 6.453E-06 7.759E-04 5.312E-02 1.657E-06 1.491E-09 8.553E-07 1.454E-06 5.181E-02 8.687E-03 6.496E-06 2.486E-08 1.128E-02 4.906E-02 1.350E-04 8.437E-04 2.221E-07 8.178E-04 3.002E-04 6.283E-08 1.163E-07 5.675E-07 2.053E-04 1.567E-03 1.119E-02 2.587E-07 1.053E-06 1.376E-02 1.989E-04 1.536E-07 2.050E-06 4.846E-06 1.403E-06 9.521E-04 6.239E-03 7.128E-02 5.965E-03 6.725E-06 37
2.048E-07 1.621E-06 7.973E-04 5.532E-02 4.291E-07 4.457E-10 5.612E-08 9.533E-08 5.571E-02 9.333E-03 4.230E-07 1.500E-09 1.216E-02 5.285E-02 1.365E-04 8.986E-04 5.618E-08 7.811E-04 3.022E-04 1.646E-08 7.425E-09 3.671E-08 2.159E-04 1.668E-03 1.220E-02 6.514E-08 2.672E-07 1.380E-02 2.057E-04 4.024E-08 5.368E-07 3.136E-07 9.089E-08 1.001E-03 6.547E-03 7.373E-02 6.513E-03 1.707E-06
3.951E+00 3.153E+01 1.310E+03 8.745E+04 7.842E+00 7.058E-03 2.256E+01 3.811E+01 8.256E+04 1.384E+04 1.714E+02 6.517E-01 1.801E+04 7.832E+04 1.634E+02 9.696E+02 1.507E+00 1.052E+03 3.672E+02 4.133E-01 2.234E+00 1.076E+01 2.400E+02 1.804E+03 1.255E+04 1.252E+00 5.099E+00 1.685E+04 2.377E+02 7.209E-01 9.625E+00 9.194E+01 2.644E+01 1.115E+03 7.307E+03 8.431E+04 6.693E+03 2.533E+01
1.001E+00 7.923E+00 1.346E+03 9.107E+04 2.030E+00 2.109E-03 1.480E+00 2.498E+00 8.878E+04 1.487E+04 1.116E+01 3.934E-02 1.942E+04 8.437E+04 1.653E+02 1.033E+03 3.811E-01 1.005E+03 3.696E+02 1.083E-01 1.427E-01 6.961E-01 2.525E+02 1.919E+03 1.369E+04 3.154E-01 1.294E+00 1.691E+04 2.458E+02 1.889E-01 2.520E+00 5.950E+00 1.714E+00 1.172E+03 7.668E+03 8.722E+04 7.307E+03 6.431E+00
1G
- 1F3 3F - 1F 4 3 3G - 1F 4 3 1G - 3D 4 3 3F - 3D 4 3 3G - 3D 4 3 3D - 3F 3 4 1F - 3F 3 4 3G - 3F 3 4 3F - 3F 3 4 1G - 3F 4 4 3F - 3F 4 4 3G - 3F 4 4 3G - 3F 5 4 5 5p 5f - 5p58d 3D - 3P 1 0 3D - 3P 1 1 3D - 3D 1 1 3D - 1P 1 1 3D - 3P 2 1 1D - 3P 2 1 3F - 3P 2 1 3D - 3D 2 1 1D - 3D 2 1 3F - 3D 2 1 3D - 1P 2 1 1D - 1P 2 1 3F - 1P 2 1 3D - 3P 1 2 3D - 3F 1 2 3D - 1D 1 2 3D - 3D 1 2 3D - 3P 2 2 1D - 3P 2 2 3F - 3P 2 2 3D - 3F 2 2 1D - 3F 2 2 3F - 3F 2 2 4
9 9 9 9 9 9 7 7 7 7 9 9 9 11
7 7 7 7 7 7 9 9 9 9 9 9 9 9
3633.26 3541.25 7019.03 14157.95 14065.94 3505.65 3400.63 3356.42 7203.53 7203.65 3448.39 3356.38 7203.9 3449.95
1.062E-02 6.629E-02 4.575E-07 1.250E-05 6.581E-08 8.320E-02 5.751E-04 3.176E-04 4.366E-08 4.262E-08 2.332E-03 1.101E-02 5.713E-07 1.001E-01
1.037E-02 6.817E-02 1.198E-07 8.001E-07 4.350E-09 8.729E-02 6.414E-04 3.640E-04 1.086E-08 1.059E-08 2.533E-03 1.260E-02 1.420E-07 1.084E-01
1.336E+04 7.922E+04 1.671E+00 2.387E+02 1.241E+00 9.743E+04 4.929E+02 2.652E+02 2.159E-01 2.108E-01 2.056E+03 9.190E+03 2.197E+00 8.828E+04
1.305E+04 8.146E+04 4.373E-01 1.528E+01 8.202E-02 1.022E+05 5.497E+02 3.039E+02 5.370E-02 5.237E-02 2.232E+03 1.052E+04 5.461E-01 9.564E+04
3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 5 5 5 5 5 5
1 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5
870.8 938.95 1579.89 11955.46 936.37 888.74 9723.63 1577.31 1529.68 9082.68 11952.88 11905.25 1292.89 1029.1 1143.39 11646.58 11649.75 1026.52 978.89 9633.48 1140.81 1093.18 9519.18
1.970E-01 2.084E-01 6.454E-03 2.486E-04 2.596E-01 1.585E-01 8.722E-04 4.653E-01 5.725E-01 6.247E-03 6.218E-03 2.769E-03 8.764E-01 2.317E-02 1.112E-02 3.528E-06 5.853E-05 2.182E-01 4.868E-02 8.315E-05 1.364E-04 2.020E-01 1.074E-04
2.920E-01 2.659E-01 2.878E-03 1.965E-06 3.337E-01 2.252E-01 1.037E-05 2.114E-01 2.758E-01 8.516E-05 4.917E-05 2.205E-05 5.894E-01 2.466E-02 9.543E-03 2.913E-08 4.861E-07 2.337E-01 5.715E-02 1.012E-06 1.265E-04 1.900E-01 1.332E-06
9.963E+04 4.085E+04 3.582E+03 7.902E+03 5.060E+04 2.783E+04 1.100E+04 2.574E+05 2.979E+05 6.875E+04 1.975E+05 8.727E+04 3.257E+05 3.273E+03 1.939E+03 6.384E+01 1.060E+03 3.068E+04 6.223E+03 1.029E+03 2.369E+01 3.220E+04 1.298E+03
1.477E+05 5.212E+04 1.597E+03 6.246E+01 6.506E+04 3.954E+04 1.309E+02 1.169E+05 1.435E+05 9.372E+02 1.562E+03 6.948E+02 2.191E+05 3.485E+03 1.664E+03 5.271E-01 8.801E+00 3.286E+04 7.306E+03 1.253E+01 2.197E+01 3.029E+04 1.610E+01
38
3D
- 1D2 1D - 1D 2 2 3F - 1D 2 2 3D - 3D 2 2 1D - 3D 2 2 3F - 3D 2 2 3D - 3P 3 2 1F - 3P 3 2 3F - 3P 3 2 3G - 3P 3 2 3D - 3F 3 2 1F - 3F 3 2 3F - 3F 3 2 3G - 3F 3 2 3D - 1D 3 2 1F - 1D 3 2 3F - 1D 3 2 3G - 1D 3 2 3D - 3D 3 2 1F - 3D 3 2 3F - 3D 3 2 3G - 3D 3 2 3D - 3F 2 3 1D - 3F 2 3 3F - 3F 2 3 3D - 1F 2 3 1D - 1F 2 3 3F - 1F 2 3 3D - 3D 2 3 1D - 3D 2 3 3F - 3D 2 3 3D - 3F 3 3 1F - 3F 3 3 3F - 3F 3 3 3G - 3F 3 3 3D - 1F 3 3 1F - 1F 3 3 3F - 1F 3 3 2
5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7
5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
11644 11596.37 984 11647.17 11599.55 987.18 981.17 958.34 9631.24 9631.39 1095.46 1072.64 9516.95 9517.09 11598.65 11575.82 986.24 986.09 11601.82 11579 989.42 989.27 1059.18 1011.56 9600.81 1169.15 1121.52 9490.85 11693.83 11646.21 1033.84 1013.83 991.01 9598.57 9598.72 1123.8 1100.97 9488.61
5.439E-06 4.570E-08 9.838E+01 8.267E-01 1.844E-04 1.541E-06 3.308E+03 2.765E+01 6.245E-02 7.248E-02 8.066E+03 9.362E+03 4.937E-04 4.108E-06 8.935E+03 7.433E+01 8.197E-05 6.845E-07 1.471E+03 1.229E+01 6.102E-02 7.069E-02 7.932E+03 9.190E+03 8.223E-01 9.642E-01 1.056E+05 1.238E+05 1.334E-05 1.000E-05 1.634E+00 1.226E+00 1.140E-03 1.389E-05 1.008E+04 1.228E+02 6.677E-05 8.077E-07 5.902E+02 7.139E+00 1.461E-02 1.388E-02 2.338E+03 2.222E+03 9.884E-01 9.665E-01 1.517E+05 1.484E+05 4.978E-05 6.216E-07 4.296E+02 5.365E+00 2.806E-04 3.480E-06 2.421E+03 3.004E+01 5.135E-05 4.333E-07 9.215E+02 7.777E+00 2.852E-04 2.397E-06 5.098E+03 4.284E+01 3.704E-02 4.291E-02 4.806E+03 5.568E+03 1.016E+00 1.174E+00 1.317E+05 1.523E+05 9.486E-04 7.954E-06 1.703E+04 1.428E+02 4.330E-06 3.484E-08 7.745E+01 6.231E-01 1.031E+00 1.189E+00 1.346E+05 1.553E+05 1.778E-02 2.045E-02 2.321E+03 2.670E+03 2.680E-03 2.688E-03 2.865E+02 2.873E+02 1.476E-02 1.622E-02 1.439E+03 1.582E+03 8.292E-06 1.014E-07 1.020E+02 1.247E+00 1.617E-02 1.336E-02 2.106E+03 1.740E+03 5.369E-03 4.824E-03 6.435E+02 5.782E+02 2.020E-06 2.533E-08 2.427E+01 3.044E-01 6.092E-06 5.022E-08 7.939E+01 6.544E-01 2.079E-05 1.726E-07 2.687E+02 2.231E+00 3.683E-03 3.892E-03 3.751E+02 3.964E+02 2.773E-02 3.036E-02 2.716E+03 2.974E+03 1.972E-01 2.257E-01 1.845E+04 2.112E+04 5.918E-05 7.245E-07 5.196E+02 6.361E+00 1.563E-05 1.923E-07 1.372E+02 1.688E+00 2.619E-01 2.343E-01 3.152E+04 2.819E+04 3.810E-03 3.560E-03 4.401E+02 4.112E+02 5.511E-05 6.915E-07 4.728E+02 5.933E+00 39
3G
- 1F3 3D - 3D 3 3 1F - 3D 3 3 3F - 3D 3 3 3G - 3D 3 3 1G - 3F 4 3 3F - 3F 4 3 3G - 3F 4 3 1G - 1F 4 3 3F - 1F 4 3 3G - 1F 4 3 1G - 3D 4 3 3F - 3D 4 3 3G - 3D 4 3 3D - 3F 3 4 1F - 3F 3 4 3F - 3F 3 4 3G - 3F 3 4 1G - 3F 4 4 3F - 3F 4 4 3G - 3F 4 4 3G - 3F 5 4 5 5p 6p - 5p58d 3S - 3P 1 0 3D - 3P 1 0 1P - 3P 1 0 3P - 3P 1 0 3P - 3P 2 1 1S - 3P 0 1 3P - 3D 2 1 1S - 3D 0 1 3P - 1P 2 1 1S - 1P 0 1 3S - 3P 1 1 3D - 3P 1 1 1P - 3P 1 1 3P - 3P 1 1 3S - 3D 1 1 3
7 7 7 7 7 9 9 9 9 9 9 9 9 9 7 7 7 7 9 9 9 11
7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9
9488.76 11648.48 11625.66 1036.08 1035.93 1038.19 990.96 9599.01 1148.15 1100.92 9489.05 11672.83 11625.61 1035.64 938.93 916.1 9673.48 9673.63 963.28 916.05 9673.92 964.59
1.055E-05 1.502E-04 1.059E-04 4.369E-02 8.545E-02 1.284E+00 1.024E-01 6.723E-04 2.005E-01 1.256E+00 2.613E-06 6.358E-04 6.089E-05 1.493E+00 9.636E-03 5.283E-03 1.795E-06 8.385E-08 4.024E-02 1.819E-01 1.240E-05 1.700E+00
1.323E-07 1.249E-06 8.807E-07 4.597E-02 8.994E-02 1.339E+00 1.174E-01 8.245E-06 1.716E-01 1.170E+00 3.277E-08 5.243E-06 5.070E-07 1.572E+00 1.235E-02 7.111E-03 2.167E-08 1.012E-09 4.899E-02 2.449E-01 1.497E-07 2.064E+00
9.051E+01 1.942E+03 1.364E+03 4.469E+03 8.738E+03 1.318E+05 9.585E+03 4.591E+03 2.519E+04 1.450E+05 1.744E+01 8.255E+03 7.842E+02 1.526E+05 6.296E+02 3.286E+02 1.600E+01 7.477E-01 2.767E+03 1.132E+04 8.601E+01 1.172E+05
1.135E+00 1.614E+01 1.134E+01 4.702E+03 9.198E+03 1.375E+05 1.099E+04 5.630E+01 2.156E+04 1.351E+05 2.187E-01 6.807E+01 6.529E+00 1.607E+05 8.067E+02 4.423E+02 1.932E-01 9.026E-03 3.369E+03 1.523E+04 1.038E+00 1.423E+05
3 3 3 3 5 1 5 1 5 1 3 3 3 3 3
1 1 1 1 3 3 3 3 3 3 3 3 3 3 3
16903.52 14886.37 6151.65 4246.81 15066.91 5562.6 15707.85 6203.54 26083.42 16579.11 16971.66 14954.52 6219.8 4314.96 17612.6
2.628E-02 1.690E-03 2.550E-06 1.756E-05 1.056E-03 4.739E-06 6.150E-02 6.464E-05 2.946E-04 4.202E-02 5.699E-02 7.824E-03 3.161E-06 3.182E-05 2.933E-03
1.177E-02 3.730E-04 5.241E-06 1.136E-04 3.810E-04 1.845E-05 2.051E-02 1.763E-04 4.453E-05 2.068E-02 2.498E-02 2.071E-03 3.998E-06 2.033E-04 1.808E-03
5.008E+06 2.498E+05 6.437E+01 2.112E+02 5.332E+04 3.260E+01 3.374E+06 5.531E+02 4.456E+04 2.568E+06 3.650E+06 3.891E+05 2.719E+01 1.317E+02 2.023E+05
2.243E+06 5.514E+04 1.323E+02 1.367E+03 1.923E+04 1.269E+02 1.125E+06 1.508E+03 6.736E+03 1.264E+06 1.600E+06 1.030E+05 3.439E+01 8.415E+02 1.247E+05
40
3D
- 3D1 1P - 3D 1 1 3P - 3D 1 1 3S - 1P 1 1 3D - 1P 1 1 1P - 1P 1 1 3P - 1P 1 1 3D - 3P 2 1 3P - 3P 0 1 1D - 3P 2 1 3D - 3D 2 1 3P - 3D 0 1 1D - 3D 2 1 3D - 1P 2 1 3P - 1P 0 1 1D - 1P 2 1 3S - 3P 1 2 3D - 3P 1 2 1P - 3P 1 2 3P - 3P 1 2 3S - 3F 1 2 3D - 3F 1 2 1P - 3F 1 2 3P - 3F 1 2 3S - 1D 1 2 3D - 1D 1 2 1P - 1D 1 2 3P - 1D 1 2 3S - 3D 1 2 3D - 3D 1 2 1P - 3D 1 2 3P - 3D 1 2 3D - 3P 2 2 3P - 3P 0 2 1D - 3P 2 2 3D - 3F 2 2 3P - 3F 0 2 1D - 3F 2 2 1
3 3 3 3 3 3 3 5 1 5 5 1 5 5 1 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 1 5 5 1 5
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
15595.46 6860.74 4955.9 27988.17 25971.03 17236.31 15331.47 16774.03 14674.64 4323.47 17414.98 15315.58 4964.41 27790.55 25691.15 15339.98 17061.81 15044.67 6309.95 4405.11 17176.1 15158.96 6424.24 4519.4 27679.29 25662.15 16927.43 15022.59 27682.47 25665.32 16930.6 15025.76 16864.19 14764.79 4413.62 16978.48 14879.08 4527.91
3.932E-02 2.643E-06 7.564E-07 4.570E-05 7.267E-07 2.171E-02 1.553E-02 6.738E-03 1.578E-02 3.352E-06 2.319E-03 3.783E-04 7.114E-07 1.432E-07 1.674E-05 3.062E-03 2.574E-02 5.762E-02 3.068E-05 1.318E-05 2.224E-02 7.176E-02 1.506E-05 1.648E-07 2.462E-06 6.617E-05 1.070E-01 8.342E-03 4.645E-04 7.549E-05 8.297E-04 1.563E-01 4.710E-03 7.712E-02 1.530E-05 4.506E-02 2.656E-04 3.758E-07 41
1.423E-02 1.375E-06 7.289E-06 5.444E-06 8.468E-07 9.895E-03 5.464E-03 3.420E-03 6.232E-03 1.719E-05 1.015E-03 1.190E-04 1.971E-06 1.343E-08 2.086E-06 1.073E-03 9.765E-03 1.991E-02 5.906E-05 7.280E-05 1.202E-02 2.845E-02 2.454E-05 2.499E-06 4.101E-09 1.790E-05 5.045E-02 3.015E-03 4.782E-05 1.057E-05 4.070E-04 5.700E-02 2.592E-03 2.954E-02 6.952E-05 2.113E-02 1.633E-04 3.620E-06
2.127E+06 2.766E+01 4.130E+00 7.959E+03 1.090E+02 1.434E+06 8.115E+05 4.215E+05 7.558E+05 1.393E+01 1.564E+05 1.973E+04 3.898E+00 2.458E+01 2.456E+03 1.602E+05 9.995E+05 1.740E+06 1.629E+02 3.412E+01 8.754E+05 2.200E+06 8.290E+01 4.491E-01 2.517E+02 5.813E+03 4.091E+06 2.511E+05 4.748E+04 6.634E+03 3.173E+04 4.709E+06 1.787E+05 2.243E+06 3.975E+01 1.733E+06 7.844E+03 1.028E+00
7.695E+05 1.439E+01 3.981E+01 9.482E+02 1.270E+02 6.536E+05 2.856E+05 2.139E+05 2.984E+05 7.143E+01 6.841E+04 6.206E+03 1.080E+01 2.307E+00 3.061E+02 5.612E+04 3.792E+05 6.010E+05 3.137E+02 1.885E+02 4.731E+05 8.721E+05 1.351E+02 6.809E+00 4.191E-01 1.572E+03 1.929E+06 9.077E+04 4.888E+03 9.291E+02 1.556E+04 1.717E+06 9.832E+04 8.590E+05 1.807E+02 8.126E+05 4.822E+03 9.900E+00
3D
- 1D2 3P - 1D 0 2 1D - 1D 2 2 3D - 3D 2 2 3P - 3D 0 2 1D - 3D 2 2 3D - 3P 3 2 3D - 3F 3 2 3D - 1D 3 2 3D - 3D 3 2 3D - 3F 2 3 3P - 3F 0 3 1D - 3F 2 3 3D - 1F 2 3 3P - 1F 0 3 1D - 1F 2 3 3D - 3D 2 3 3P - 3D 0 3 1D - 3D 2 3 3D - 3F 3 3 3D - 1F 3 3 3D - 3D 3 3 3D - 3F 3 4 5p57p - 5p58d 3S - 3P 1 0 3D - 3P 1 0 1P - 3P 1 0 3P - 3P 1 0 3P - 3P 0 1 1S - 3P 0 1 3P - 3D 0 1 1S - 3D 0 1 3P - 1P 0 1 1S - 1P 0 1 3S - 3P 1 1 3D - 3P 1 1 1P - 3P 1 1 3P - 3P 1 1 2
5 1 5 5 1 5 7 7 7 7 5 1 5 5 1 5 5 1 5 7 7 7 7
5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9
27481.66 25382.27 15031.09 27484.84 25385.45 15034.27 15141.59 15255.88 25759.07 25762.24 16896.85 14797.45 4446.28 17006.81 14907.42 4556.25 27531.5 25432.1 15080.93 15174.25 15284.22 25808.9 15099.35
6.873E-10 1.113E-05 2.277E-02 1.189E-05 6.675E-05 2.229E-02 8.476E-03 3.664E-03 1.922E-07 3.218E-06 1.527E-01 8.384E-04 1.698E-07 4.541E-03 2.018E-01 7.147E-06 8.664E-06 7.368E-05 2.531E-01 4.008E-02 4.520E-02 7.521E-06 3.259E-01
3.594E-08 1.386E-06 8.310E-03 1.736E-06 8.616E-06 8.117E-03 3.045E-03 1.299E-03 2.392E-08 3.993E-07 7.189E-02 1.616E-04 1.575E-07 1.612E-03 7.453E-02 2.740E-05 3.913E-07 9.198E-06 9.160E-02 1.435E-02 1.592E-02 9.303E-07 1.176E-01
6.924E-02 9.563E+02 6.862E+05 1.198E+03 5.738E+03 6.722E+05 2.592E+05 1.138E+05 1.702E+01 2.849E+02 4.154E+06 1.749E+04 3.198E-01 1.252E+05 4.273E+06 1.414E+01 6.257E+02 4.541E+03 5.486E+06 8.793E+05 1.006E+06 4.773E+02 5.507E+06
3.621E+00 1.192E+02 2.505E+05 1.749E+02 7.407E+02 2.448E+05 9.312E+04 4.033E+04 2.118E+00 3.535E+01 1.956E+06 3.372E+03 2.967E-01 4.443E+04 1.578E+06 5.420E+01 2.826E+01 5.669E+02 1.985E+06 3.148E+05 3.544E+05 5.905E+01 1.988E+06
3 3 3 3 1 1 1 1 1 1 3 3 3 3
1 1 1 1 3 3 3 3 3 3 3 3 3 3
6388.83 5901.65 4418.51 4562.25 5616.25 4726.59 6257.19 4085.64 16632.76 6289.93 6456.98 5969.8 4350.37 4494.1
3.253E-02 1.776E-03 8.119E-07 2.235E-05 1.036E-03 5.173E-06 6.534E-02 4.442E-06 4.529E-05 5.440E-02 7.762E-02 1.305E-03 2.878E-08 3.236E-05
2.192E-02 1.508E-03 1.103E-06 2.952E-05 8.646E-04 6.525E-06 4.437E-02 7.970E-06 4.160E-06 3.829E-02 5.103E-02 1.166E-03 6.608E-08 4.419E-05
8.856E+05 4.125E+04 3.524E+00 1.034E+02 7.263E+03 7.709E+01 5.688E+05 4.946E+01 2.786E+03 4.785E+05 7.196E+05 1.034E+04 1.211E-01 1.453E+02
5.967E+05 3.502E+04 4.788E+00 1.366E+02 6.064E+03 9.723E+01 3.863E+05 8.874E+01 2.559E+02 3.368E+05 4.731E+05 9.236E+03 2.781E-01 1.984E+02
42
3S
- 3D1 3D - 3D 1 1 1P - 3D 1 1 3P - 3D 1 1 3S - 1P 1 1 3D - 1P 1 1 1P - 1P 1 1 3P - 1P 1 1 3D - 3P 2 1 3P - 3P 2 1 1D - 3P 2 1 3D - 3D 2 1 3P - 3D 2 1 1D - 3D 2 1 3D - 1P 2 1 3P - 1P 2 1 1D - 1P 2 1 3S - 3P 1 2 3D - 3P 1 2 1P - 3P 1 2 3P - 3P 1 2 3S - 3F 1 2 3D - 3F 1 2 1P - 3F 1 2 3P - 3F 1 2 3S - 1D 1 2 3D - 1D 1 2 1P - 1D 1 2 3P - 1D 1 2 3S - 3D 1 2 3D - 3D 1 2 1P - 3D 1 2 3P - 3D 1 2 3D - 3P 2 2 3P - 3P 2 2 1D - 3P 2 2 3D - 3F 2 2 3P - 3F 2 2 1
3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
7097.92 6610.74 3709.43 3853.16 17473.49 16986.31 6666.14 6522.41 6221.55 5905.37 4525.42 6862.5 6546.31 3884.47 17238.07 16921.88 6491.1 6547.13 6059.95 4260.22 4403.95 6661.42 6174.24 4145.93 4289.66 17164.6 16677.43 6357.26 6213.52 17167.78 16680.6 6360.44 6216.7 6311.7 5995.52 4435.27 6425.99 6109.81
1.176E-03 4.910E-02 2.090E-06 4.548E-06 2.305E-06 3.873E-05 2.777E-02 1.852E-02 5.749E-03 2.007E-02 4.201E-06 3.315E-03 1.713E-04 1.217E-06 7.072E-08 2.113E-05 3.474E-03 7.192E-02 2.167E-02 6.958E-06 4.295E-06 9.430E-04 1.105E-01 4.779E-07 1.340E-07 2.748E-07 5.631E-06 1.378E-01 7.994E-03 2.450E-04 3.706E-06 6.651E-04 1.725E-01 1.809E-03 8.833E-02 1.800E-05 5.583E-02 2.404E-03 43
5.417E-04 3.033E-02 4.535E-06 8.593E-06 2.229E-07 3.484E-06 1.742E-02 1.163E-02 4.198E-03 1.544E-02 5.560E-06 1.951E-03 1.006E-04 2.121E-06 6.390E-09 1.961E-06 2.200E-03 4.521E-02 1.534E-02 1.000E-05 6.152E-06 7.351E-04 7.877E-02 6.382E-07 9.743E-08 4.506E-08 5.960E-07 9.495E-02 5.492E-03 2.198E-05 3.320E-07 4.658E-04 1.186E-01 1.347E-03 6.555E-02 2.453E-05 3.764E-02 1.808E-03
1.317E+04 4.771E+05 6.394E+00 1.501E+01 1.565E+02 2.485E+03 2.744E+05 1.751E+05 4.948E+04 1.556E+05 1.148E+01 3.471E+04 1.632E+03 2.451E+00 4.672E+00 1.345E+03 3.255E+04 4.113E+05 1.062E+05 2.808E+01 1.852E+01 5.582E+03 5.619E+05 1.826E+00 5.481E-01 1.080E+01 2.089E+02 7.431E+05 4.117E+04 9.632E+03 1.376E+02 3.589E+03 8.892E+05 9.612E+03 4.236E+05 4.723E+01 3.076E+05 1.197E+04
6.068E+03 2.947E+05 1.387E+01 2.837E+01 1.513E+01 2.235E+02 1.721E+05 1.100E+05 3.613E+04 1.197E+05 1.519E+01 2.043E+04 9.582E+02 4.270E+00 4.222E-01 1.249E+02 2.061E+04 2.585E+05 7.514E+04 4.037E+01 2.653E+01 4.352E+03 4.006E+05 2.439E+00 3.986E-01 1.771E+00 2.211E+01 5.119E+05 2.829E+04 8.643E+02 1.232E+01 2.514E+03 6.114E+05 7.157E+03 3.143E+05 6.438E+01 2.073E+05 9.004E+03
1D
- 3F2 3D - 1D 2 2 3P - 1D 2 2 1D - 1D 2 2 3D - 3D 2 2 3P - 3D 2 2 1D - 3D 2 2 3D - 3P 3 2 3D - 3F 3 2 3D - 1D 3 2 3D - 3D 3 2 3D - 3F 2 3 3P - 3F 2 3 1D - 3F 2 3 3D - 1F 2 3 3P - 1F 2 3 1D - 1F 2 3 3D - 3D 2 3 3P - 3D 2 3 1D - 3D 2 3 3D - 3F 3 3 3D - 1F 3 3 3D - 3D 3 3 3D - 3F 3 4 5 5p 8d - 5p58p 3P - 3S 0 1 3P - 3D 0 1 3P - 1P 0 1 3P - 3P 0 1 3P - 3P 1 0 3P - 1S 1 0 3D - 3P 1 0 3D - 1S 1 0 1P - 3P 1 0 1P - 1S 1 0 3P - 3S 1 1 3P - 3D 1 1 3P - 1P 1 1 2
5 5 5 5 5 5 5 7 7 7 7 5 5 5 5 5 5 5 5 5 7 7 7 7
5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9
4320.97 16929.18 16613 6182.21 16932.36 16616.17 6185.39 6255.23 6369.52 16872.71 16875.88 6344.37 6028.18 4402.6 6454.33 6138.15 4292.64 16979.02 16662.83 6232.05 6287.89 6397.86 16922.54 6212.99
5.802E-07 1.084E-06 4.106E-06 2.511E-02 1.018E-05 8.214E-05 2.440E-02 9.334E-03 4.113E-03 3.397E-07 5.620E-06 1.943E-01 7.664E-04 3.801E-07 1.723E-02 2.090E-01 8.070E-07 1.510E-06 1.612E-05 2.780E-01 4.446E-02 5.024E-02 1.317E-05 3.563E-01
9.120E-07 1.126E-07 3.906E-07 1.754E-02 9.824E-07 7.934E-06 1.696E-02 6.349E-03 2.710E-03 3.195E-08 5.253E-07 1.342E-01 6.395E-04 4.053E-07 1.112E-02 1.473E-01 1.150E-06 1.122E-07 1.524E-06 1.902E-01 3.000E-02 3.260E-02 1.226E-06 2.453E-01
1.445E+00 4.143E+01 1.512E+02 1.281E+05 3.894E+02 3.026E+03 1.246E+05 4.872E+04 2.226E+04 1.290E+01 2.135E+02 7.450E+05 2.654E+03 9.830E-01 6.841E+04 7.502E+05 1.984E+00 4.149E+01 4.264E+02 1.029E+06 1.675E+05 1.960E+05 3.595E+02 1.019E+06
2.272E+00 4.305E+00 1.438E+01 8.943E+04 3.758E+01 2.922E+02 8.654E+04 3.314E+04 1.467E+04 1.213E+00 1.996E+01 5.148E+05 2.214E+03 1.048E+00 4.413E+04 5.288E+05 2.828E+00 3.082E+00 4.033E+01 7.038E+05 1.130E+05 1.272E+05 3.345E+01 7.016E+05
1 1 1 1 3 3 3 3 3 3 3 3 3
3 3 3 3 1 1 1 1 1 1 3 3 3
2366.18 2252.68 8298.83 8334.43 2222.65 8325.58 2863.59 7684.64 13239.16 2690.93 2434.33 2320.83 8230.69
5.398E+00 3.637E-01 4.111E-05 1.048E-03 1.630E-01 5.735E-03 1.164E+01 1.898E-02 3.786E-02 1.091E+01 1.296E+01 3.204E-01 1.928E-03
7.607E-02 7.996E-03 3.855E-08 1.186E-06 2.251E-03 7.044E-06 9.364E-02 2.830E-05 1.363E-05 1.270E-01 1.708E-01 8.276E-03 2.557E-06
2.016E+07 1.231E+06 6.296E+02 1.619E+04 1.790E+05 2.651E+05 2.122E+07 7.475E+05 1.475E+06 1.757E+07 1.707E+07 3.837E+05 2.903E+04
2.841E+05 2.706E+04 5.903E-01 1.831E+01 2.473E+03 3.257E+02 1.707E+05 1.115E+03 5.313E+02 2.045E+05 2.251E+05 9.911E+03 3.851E+01
44
3P
- 3P1 3D - 3S 1 1 3D - 3D 1 1 3D - 1P 1 1 3D - 3P 1 1 1P - 3S 1 1 1P - 3D 1 1 1P - 1P 1 1 1P - 3P 1 1 3P - 3D 1 2 3P - 3P 1 2 3P - 1D 1 2 3D - 3D 1 2 3D - 3P 1 2 3D - 1D 1 2 1P - 3D 1 2 1P - 3P 1 2 1P - 1D 1 2 3P - 3S 2 1 3P - 3D 2 1 3P - 1P 2 1 3P - 3P 2 1 3F - 3S 2 1 3F - 3D 2 1 3F - 1P 2 1 3F - 3P 2 1 1D - 3S 2 1 1D - 3D 2 1 1D - 1P 2 1 1D - 3P 2 1 3D - 3S 2 1 3D - 3D 2 1 3D - 1P 2 1 3D - 3P 2 1 3P - 3D 2 2 3P - 3P 2 2 3P - 1D 2 2 3F - 3D 2 2 1
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5
8266.28 3075.27 2961.77 7589.75 7625.34 13450.84 13337.34 2785.82 2750.23 2380.89 2303.85 8276.23 3021.83 2944.79 7635.29 13397.4 13320.36 2740.28 2524.48 2410.98 8140.54 8176.13 2638.77 2525.27 8026.25 8061.84 13141.96 13028.46 2476.94 2441.34 13145.13 13031.63 2480.12 2444.52 2471.04 2394 8186.08 2585.33
8.493E-05 7.772E-02 9.189E+00 1.005E-02 6.134E-03 8.648E-03 2.395E-02 5.605E+00 2.887E+00 1.166E+00 3.057E+00 7.256E-04 6.699E-01 3.134E-02 1.225E-03 1.582E-04 5.071E-03 5.665E-01 1.127E+01 3.273E+00 8.325E-06 7.282E-03 4.669E-01 1.909E+01 2.615E-03 3.425E-04 2.854E-05 2.865E-03 2.496E+01 1.396E+00 3.858E-04 2.047E-03 2.052E-01 2.640E+01 5.125E-01 1.383E+01 4.895E-03 1.062E+01 45
1.806E-07 7.891E-05 7.585E-02 1.520E-05 7.234E-06 3.035E-06 8.737E-06 6.094E-02 2.491E-02 1.848E-02 3.919E-02 7.294E-07 6.089E-03 2.025E-04 1.342E-06 6.130E-08 1.886E-06 4.913E-03 1.273E-01 3.278E-02 3.923E-08 6.890E-06 9.975E-03 2.223E-01 3.723E-06 2.005E-07 7.830E-08 1.122E-06 3.429E-01 1.526E-02 2.345E-07 6.416E-07 2.851E-03 2.921E-01 8.702E-03 1.621E-01 4.913E-06 1.341E-01
1.290E+03 1.634E+05 1.792E+07 1.287E+05 7.931E+04 3.479E+05 9.474E+05 9.671E+06 4.854E+06 1.470E+06 3.608E+06 6.630E+03 1.360E+06 6.043E+04 9.524E+03 6.311E+03 2.001E+05 9.457E+05 9.583E+06 2.538E+06 1.227E+02 1.082E+05 4.337E+05 1.624E+07 3.746E+04 4.949E+03 6.576E+02 6.487E+04 2.043E+07 1.110E+06 8.892E+03 4.638E+04 1.683E+05 2.104E+07 4.175E+05 1.058E+07 4.376E+04 9.472E+06
2.745E+00 1.659E+02 1.479E+05 1.947E+02 9.352E+01 1.221E+02 3.455E+02 1.052E+05 4.188E+04 2.329E+04 4.625E+04 6.665E+00 1.236E+04 3.904E+02 1.044E+01 2.446E+00 7.439E+01 8.203E+03 1.082E+05 2.542E+04 5.780E-01 1.024E+02 9.266E+03 1.891E+05 5.332E+01 2.898E+00 1.804E+00 2.541E+01 2.806E+05 1.213E+04 5.406E+00 1.453E+01 2.340E+03 2.329E+05 7.089E+03 1.240E+05 4.392E+01 1.196E+05
3F
- 3P2 3F - 1D 2 2 1D - 3D 2 2 1D - 3P 2 2 1D - 1D 2 2 3D - 3D 2 2 3D - 3P 2 2 3D - 1D 2 2 3P - 3D 2 3 3F - 3D 2 3 1D - 3D 2 3 3D - 3D 2 3 3F - 3D 3 2 3F - 3P 3 2 3F - 1D 3 2 1F - 3D 3 2 1F - 3P 3 2 1F - 1D 3 2 3D - 3D 3 2 3D - 3P 3 2 3D - 1D 3 2 3F - 3D 3 3 1F - 3D 3 3 3D - 3D 3 3 3F - 3D 4 3 5 5p 8s - 5p58p 3P - 3S 0 1 3P - 3D 0 1 3P - 1P 0 1 3P - 3P 0 1 3P - 3P 1 0 3P - 1S 1 0 1P - 3P 1 0 1P - 1S 1 0 3P - 3S 1 1 3P - 3D 1 1 3P - 1P 1 1 3P - 3P 1 1 2
5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9
5 5 5 5 5 5 5 5 7 7 7 7 5 5 5 5 5 5 5 5 5 7 7 7 7
2508.29 8071.79 13088.52 13011.48 2431.4 13091.7 13014.66 2434.57 2455.93 2570.22 13073.41 13076.59 2503.71 2426.67 8153.42 2613.67 2536.63 8043.45 13138.36 13061.32 2481.23 2488.6 2598.56 13123.25 2413.69
3.799E-01 1.610E-04 2.221E-03 8.910E-05 3.810E+00 1.465E-03 1.771E-02 3.743E+00 1.423E+00 6.381E-01 1.008E-04 1.691E-03 3.584E+01 1.256E-01 5.076E-03 2.505E+00 3.391E+01 3.702E-04 4.772E-03 2.729E-04 4.315E+01 6.799E+00 7.962E+00 3.957E-03 5.397E+01
1 1 1 1 3 3 3 3 3 3 3 3
3 3 3 3 1 1 1 1 3 3 3 3
9309.98 9196.48 1355.03 1390.63 1457.76 12005.99 9120.51 1427.73 1246.08 1359.58 11911.09 11946.69
7.593E-04 4.323E-06 4.390E+04 2.499E+02 6.569E-05 3.309E-07 3.706E+03 1.867E+01 1.703E+00 4.023E-01 6.951E+05 1.642E+05 3.275E+00 8.134E-01 1.408E+06 3.497E+05 1.730E+00 3.908E-01 2.452E+06 5.540E+05 3.302E-05 1.339E-07 3.175E+03 1.287E+01 3.091E-05 1.316E-07 5.716E+02 2.434E+00 1.768E+00 3.760E-01 2.404E+06 5.112E+05 2.859E-01 9.998E-02 9.871E+04 3.452E+04 4.563E+00 1.153E+00 1.876E+06 4.740E+05 2.111E-05 9.960E-08 6.661E+02 3.142E+00 6.683E-06 3.779E-08 2.121E+02 1.199E+00 46
4.952E-03 1.205E-07 1.129E-06 2.640E-08 4.192E-02 7.837E-07 7.029E-06 4.168E-02 1.551E-02 6.254E-03 3.796E-08 6.494E-07 4.792E-01 2.873E-03 4.641E-06 2.597E-02 3.471E-01 3.866E-07 2.581E-06 1.423E-07 4.634E-01 7.159E-02 7.802E-02 1.504E-06 6.124E-01
3.189E+05 1.399E+03 5.075E+04 2.012E+03 3.004E+06 3.349E+04 4.001E+05 2.960E+06 1.145E+06 5.624E+05 2.298E+03 3.856E+04 2.141E+07 7.046E+04 4.501E+04 1.631E+06 2.079E+07 3.195E+03 7.849E+04 4.436E+03 2.531E+07 4.012E+06 5.123E+06 6.494E+04 2.330E+07
4.156E+03 1.047E+00 2.579E+01 5.961E-01 3.306E+04 1.792E+01 1.588E+02 3.296E+04 1.248E+04 5.511E+03 8.654E-01 1.481E+01 2.862E+05 1.612E+03 4.115E+01 1.691E+04 2.128E+05 3.337E+00 4.246E+01 2.314E+00 2.718E+05 4.225E+04 5.020E+04 2.469E+01 2.644E+05
1P
- 3S1 1P - 3D 1 1 1P - 1P 1 1 1P - 3P 1 1 3P - 3D 1 2 3P - 3P 1 2 3P - 1D 1 2 1P - 3D 1 2 1P - 3P 1 2 1P - 1D 1 2 3P - 3S 2 1 3P - 3D 2 1 3P - 1P 2 1 3P - 3P 2 1 3P - 3D 2 2 3P - 3P 2 2 3P - 1D 2 2 3P - 3D 2 3
3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5
3 3 3 3 5 5 5 5 5 5 3 3 3 3 5 5 5 7
9332.19 9218.68 1332.83 1368.43 1299.51 1376.55 11956.64 9278.75 9201.71 1378.38 1295.06 1408.57 11960.08 11995.68 1348.5 1425.54 12005.63 1363.61
9.770E-04 8.437E-06 3.277E+00 1.649E+00 5.476E+00 2.544E+00 4.315E-04 3.392E-05 6.142E-04 8.179E+00 4.434E+00 3.740E-01 8.477E-05 2.261E-03 2.654E+00 5.836E+00 4.108E-04 1.133E+01
5.104E-06 6.293E-08 7.992E-01 4.224E-01 1.429E+00 6.605E-01 1.539E-06 1.401E-07 3.526E-06 2.067E+00 1.178E+00 7.209E-02 2.854E-07 7.013E-06 6.174E-01 1.356E+00 1.284E-06 2.925E+00
1.892E+04 1.594E+02 1.294E+06 6.865E+05 1.234E+06 6.432E+05 8.229E+03 6.492E+02 1.156E+04 2.073E+06 1.653E+06 1.650E+05 2.696E+03 7.235E+04 6.439E+05 1.582E+06 7.898E+03 2.007E+06
9.884E+01 1.189E+00 3.157E+05 1.759E+05 3.219E+05 1.670E+05 2.935E+01 2.682E+00 6.639E+01 5.238E+05 4.392E+05 3.180E+04 9.078E+00 2.244E+02 1.498E+05 3.677E+05 2.468E+01 5.182E+05
5p54f - 5p57d 3D - 3P 1 0 3D - 3P 1 1 3D - 3D 1 1 3D - 1P 1 1 3D - 3P 2 1 1D - 3P 2 1 3F - 3P 2 1 3D - 3D 2 1 1D - 3D 2 1 3F - 3D 2 1 3D - 1P 2 1 1D - 1P 2 1 3F - 1P 2 1 3D - 3P 1 2 3D - 3F 1 2 3D - 1D 1 2 3D - 3D 1 2 3D - 3P 2 2 1D - 3P 2 2
3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 5 5
1 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5
1649.19 1770.26 2911.79 13121.56 1767.1 1674.92 8929.3 2908.63 2816.44 7787.78 13118.4 13026.21 2421.99 1934.18 2146.37 12554.03 12560.87 1931.02 1838.83
8.525E-02 8.958E-02 3.041E-03 1.894E-04 1.105E-01 6.988E-02 5.731E-04 2.015E-01 2.354E-01 4.057E-03 5.184E-03 2.272E-03 3.742E-01 9.935E-03 4.792E-03 4.379E-06 4.688E-05 9.230E-02 2.237E-02
1.251E-01 1.142E-01 1.419E-03 4.415E-06 1.416E-01 9.930E-02 2.871E-05 9.554E-02 1.187E-01 2.671E-04 1.208E-04 5.363E-05 2.546E-01 1.063E-02 4.145E-03 1.106E-07 1.190E-06 9.918E-02 2.644E-02
1.547E+05 6.242E+04 5.732E+03 7.251E+03 7.670E+04 4.359E+04 6.096E+03 3.790E+05 4.151E+05 3.282E+04 1.984E+05 8.572E+04 4.880E+05 4.958E+03 2.945E+03 9.206E+01 9.868E+02 4.591E+04 1.009E+04
2.270E+05 7.958E+04 2.675E+03 1.690E+02 9.831E+04 6.194E+04 3.053E+02 1.797E+05 2.094E+05 2.161E+03 4.621E+03 2.023E+03 3.321E+05 5.306E+03 2.548E+03 2.326E+00 2.504E+01 4.933E+04 1.192E+04
1
47
3F
- 3P2 3D - 3F 2 2 1D - 3F 2 2 3F - 3F 2 2 3D - 1D 2 2 1D - 1D 2 2 3F - 1D 2 2 3D - 3D 2 2 1D - 3D 2 2 3F - 3D 2 2 3D - 3P 3 2 1F - 3P 3 2 3G - 3P 3 2 3F - 3P 3 2 3D - 3F 3 2 1F - 3F 3 2 3G - 3F 3 2 3F - 3F 3 2 3D - 1D 3 2 1F - 1D 3 2 3G - 1D 3 2 3F - 1D 3 2 3D - 3D 3 2 1F - 3D 3 2 3G - 3D 3 2 3F - 3D 3 2 3D - 3F 2 3 1D - 3F 2 3 3F - 3F 2 3 3D - 1F 2 3 1D - 1F 2 3 3F - 1F 2 3 3D - 3D 2 3 1D - 3D 2 3 3F - 3D 2 3 3D - 3F 3 3 1F - 3F 3 3 3G - 3F 3 3 2
5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 7 7 7
5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7
8765.39 2143.21 2051.03 8553.19 12550.87 12458.68 1854.46 12557.71 12465.52 1861.3 1841.54 1797.32 8762.62 8762.74 2053.74 2009.52 8550.42 8550.55 12461.39 12417.18 1857.23 1857.11 12468.23 12424.01 1864.07 1863.95 1992.02 1899.83 8704.39 2193.16 2100.97 8503.25 12638.72 12546.54 1942.32 1902.54 1858.33 8701.62
5.676E-05 1.643E-04 8.665E-02 7.990E-05 1.788E-06 1.693E-04 2.404E-02 4.074E-04 5.882E-05 2.919E-02 3.538E-01 1.152E-07 8.988E-05 7.202E-04 6.033E-03 4.234E-01 2.154E-04 6.148E-06 2.525E-05 2.276E-04 4.064E-01 4.944E-02 7.578E-04 9.899E-07 6.610E-02 3.837E-01 1.009E-03 6.369E-03 6.025E-06 6.842E-03 2.520E-03 1.561E-06 4.757E-06 1.779E-05 1.584E-03 1.138E-02 8.424E-02 9.322E-07 48
2.963E-06 1.484E-04 8.221E-02 4.358E-06 4.606E-08 4.352E-06 2.789E-02 1.035E-05 1.511E-06 3.377E-02 4.180E-01 2.339E-08 4.713E-06 3.758E-05 5.784E-03 4.189E-01 1.177E-05 3.315E-07 6.559E-07 5.900E-06 4.705E-01 5.714E-02 1.953E-05 2.377E-08 7.638E-02 4.426E-01 1.016E-03 7.046E-03 3.182E-07 5.704E-03 2.292E-03 8.661E-08 1.192E-07 4.519E-07 1.685E-03 1.257E-02 9.740E-02 4.854E-08
5.818E+02 1.007E+02 4.863E+04 7.798E+02 3.758E+01 3.505E+03 1.103E+04 8.571E+03 1.219E+03 1.349E+04 1.600E+05 4.965E-02 6.577E+02 5.270E+03 3.395E+03 2.281E+05 1.501E+03 4.284E+01 5.231E+02 4.681E+03 1.870E+05 2.275E+04 1.571E+04 2.038E+01 3.064E+04 1.778E+05 3.816E+02 2.191E+03 6.089E+01 3.136E+03 1.060E+03 1.505E+01 7.241E+01 2.668E+02 5.696E+02 3.927E+03 2.772E+04 6.726E+00
3.037E+01 9.094E+01 4.614E+04 4.253E+01 9.679E-01 9.011E+01 1.279E+04 2.178E+02 3.132E+01 1.561E+04 1.891E+05 1.008E-02 3.448E+01 2.750E+02 3.254E+03 2.257E+05 8.202E+01 2.310E+00 1.359E+01 1.213E+02 2.165E+05 2.629E+04 4.050E+02 4.895E-01 3.540E+04 2.051E+05 3.842E+02 2.423E+03 3.216E+00 2.614E+03 9.639E+02 8.354E-01 1.814E+00 6.779E+00 6.056E+02 4.335E+03 3.205E+04 3.502E-01
3F
- 3F3 3D - 1F 3 3 1F - 1F 3 3 3G - 1F 3 3 3F - 1F 3 3 3D - 3D 3 3 1F - 3D 3 3 3G - 3D 3 3 3F - 3D 3 3 1G - 3F 4 3 3F - 3F 4 3 3G - 3F 4 3 1G - 1F 4 3 3F - 1F 4 3 3G - 1F 4 3 1G - 3D 4 3 3F - 3D 4 3 3G - 3D 4 3 3D - 3F 3 4 1F - 3F 3 4 3G - 3F 3 4 3F - 3F 3 4 1G - 3F 4 4 3F - 3F 4 4 3G - 3F 4 4 3G - 3F 5 4 5p57d - 5p55f 3P - 3D 0 1 3P - 3D 1 1 3D - 3D 1 1 1P - 3D 1 1 3P - 3D 1 2 3P - 1D 1 2 3P - 3F 1 2 3D - 3D 1 2 3D - 1D 1 2 3D - 3F 1 2 1P - 3D 1 2 3
7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 7 7 7 7 9 9 9 11
7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9
8701.74 2103.68 2059.47 8500.48 8500.6 12549.24 12505.03 1945.09 1944.96 1950.3 1858.29 8701.99 2151.44 2059.43 8500.85 12597.01 12505 1944.71 1767.39 1723.17 8836.77 8836.89 1815.15 1723.14 8837.15 1816.71
4.965E-05 1.130E-01 1.817E-03 1.409E-06 4.956E-05 1.311E-04 8.228E-05 7.358E-03 4.819E-02 5.532E-01 4.263E-02 4.483E-04 8.390E-02 5.395E-01 2.006E-06 5.014E-04 4.676E-05 6.427E-01 4.162E-03 2.271E-03 7.460E-07 7.281E-07 1.710E-02 7.870E-02 9.761E-06 7.339E-01
1 3 3 3 3 3 3 3 3 3 3
3 3 3 3 5 5 5 5 5 5 5
857.23 736.15 405.38 10615.15 738.73 786.35 11398.72 402.8 355.17 10257.2 10612.57
1.440E+00 4.847E-01 2.353E+05 7.920E+04 1.212E+00 5.526E-01 1.460E+05 6.658E+04 1.360E-02 2.071E-02 4.968E+02 7.569E+02 5.014E-03 1.093E-05 1.256E+05 2.739E+02 1.553E+00 7.004E-01 1.130E+05 5.099E+04 1.015E+00 4.071E-01 8.374E+04 3.359E+04 2.863E-02 5.448E-05 4.962E+05 9.443E+02 8.765E-01 1.324E+00 3.162E+04 4.775E+04 1.001E+00 1.956E+00 2.809E+04 5.485E+04 1.587E-01 3.730E-04 2.228E+06 5.236E+03 1.350E-01 2.940E-04 3.380E+06 7.363E+03 49
2.629E-06 1.024E-01 1.724E-03 7.820E-08 2.750E-06 3.335E-06 2.100E-06 7.805E-03 5.108E-02 5.806E-01 4.933E-02 2.374E-05 7.262E-02 5.100E-01 1.113E-07 1.261E-05 1.195E-06 6.812E-01 5.343E-03 3.068E-03 3.832E-08 3.738E-08 2.082E-02 1.063E-01 5.011E-07 8.914E-01
3.582E+02 4.766E+04 7.343E+02 9.699E+00 3.412E+02 1.968E+03 1.226E+03 2.653E+03 1.737E+04 2.005E+05 1.403E+04 2.516E+03 3.701E+04 2.180E+05 1.074E+01 7.581E+03 6.968E+02 2.316E+05 9.636E+02 4.998E+02 5.551E+00 5.418E+00 4.176E+03 1.732E+04 5.649E+01 1.795E+05
1.897E+01 4.318E+04 6.966E+02 5.385E-01 1.893E+01 5.004E+01 3.129E+01 2.814E+03 1.841E+04 2.104E+05 1.623E+04 1.333E+02 3.203E+04 2.061E+05 5.958E-01 1.906E+02 1.780E+01 2.455E+05 1.237E+03 6.752E+02 2.851E-01 2.782E-01 5.085E+03 2.338E+04 2.900E+00 2.180E+05
1P
- 1D2 1P - 3F 1 2 3P - 3D 2 1 3F - 3D 2 1 1D - 3D 2 1 3D - 3D 2 1 3P - 3D 2 2 3P - 1D 2 2 3P - 3F 2 2 3F - 3D 2 2 3F - 1D 2 2 3F - 3F 2 2 1D - 3D 2 2 1D - 1D 2 2 1D - 3F 2 2 3D - 3D 2 2 3D - 1D 2 2 3D - 3F 2 2 3P - 3D 2 3 3P - 1F 2 3 3P - 3F 2 3 3P - 3G 2 3 3F - 3D 2 3 3F - 1F 2 3 3F - 3F 2 3 3F - 3G 2 3 1D - 3D 2 3 1D - 1F 2 3 1D - 3F 2 3 1D - 3G 2 3 3D - 3D 2 3 3D - 1F 2 3 3D - 3F 2 3 3D - 3G 2 3 3F - 3D 3 2 3F - 1D 3 2 3F - 3F 3 2 1F - 3D 3 2 1
3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7
5 5 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5
10564.94 47.43 572.23 360.04 10047.62 10054.46 574.81 622.44 11234.81 362.62 410.24 11022.61 10045.04 9997.41 614.96 10051.88 10004.25 608.12 620.16 642.99 11232.57 11232.72 407.97 430.79 11020.37 11020.52 9999.69 9976.86 612.72 612.87 10006.53 9983.7 605.88 606.03 513.81 561.44 11173.8 312.67
5.100E-02 2.382E-01 9.590E-02 2.607E-02 1.135E-04 1.224E-03 9.146E-01 2.283E-01 3.255E-03 3.150E-04 5.641E-01 1.917E-03 3.739E-05 3.497E-03 2.590E-01 1.091E-02 2.062E-03 3.116E-01 3.894E+00 2.383E-07 4.368E-02 2.547E-03 4.030E-02 2.953E+00 1.583E-03 1.194E-02 6.645E-04 9.673E-03 2.817E-01 4.608E+00 3.007E-02 3.750E-05 4.622E+00 1.595E-01 9.302E-03 6.030E-02 1.397E-04 3.264E-02 50
1.123E-04 2.619E+01 7.215E-02 4.985E-02 2.791E-07 2.984E-06 6.802E-01 1.457E-01 6.343E-06 5.254E-04 8.288E-01 3.905E-06 8.873E-08 8.652E-06 1.695E-01 2.654E-05 5.100E-06 2.073E-01 2.487E+00 6.256E-06 8.494E-05 4.995E-06 5.848E-02 3.930E+00 3.198E-06 2.433E-05 1.614E-06 2.399E-05 1.847E-01 3.034E+00 7.378E-05 1.023E-07 3.090E+00 1.072E-01 8.703E-03 4.729E-02 2.756E-07 8.197E-02
1.266E+06 7.148E+01 6.982E+03 7.513E+02 1.529E+03 1.651E+04 4.031E+04 1.180E+04 5.481E+04 5.526E+00 1.266E+04 3.107E+04 5.033E+02 4.662E+04 1.306E+04 1.471E+05 2.753E+04 1.537E+04 1.427E+05 9.389E-03 5.252E+05 3.063E+04 6.391E+02 5.222E+04 1.832E+04 1.382E+05 8.865E+03 1.284E+05 1.008E+04 1.649E+05 4.017E+05 4.987E+02 1.617E+05 5.583E+03 3.276E+02 2.536E+03 2.327E+03 4.257E+02
2.787E+03 7.859E+03 5.253E+03 1.437E+03 3.758E+00 4.025E+01 2.998E+04 7.530E+03 1.068E+02 9.216E+00 1.861E+04 6.329E+01 1.194E+00 1.154E+02 8.550E+03 3.577E+02 6.809E+01 1.022E+04 9.113E+04 2.465E-01 1.021E+03 6.005E+01 9.275E+02 6.950E+04 3.701E+01 2.816E+02 2.154E+01 3.186E+02 6.606E+03 1.086E+05 9.856E+02 1.360E+00 1.081E+05 3.752E+03 3.065E+02 1.989E+03 4.591E+00 1.069E+03
1F
- 1D2 1F - 3F 3 2 3D - 3D 3 2 3D - 1D 3 2 3D - 3F 3 2 3F - 3D 3 3 3F - 1F 3 3 3F - 3F 3 3 3F - 3G 3 3 1F - 3D 3 3 1F - 1F 3 3 1F - 3F 3 3 1F - 3G 3 3 3D - 3D 3 3 3D - 1F 3 3 3D - 3F 3 3 3D - 3G 3 3 3F - 1G 3 4 3F - 3F 3 4 3F - 3G 3 4 1F - 1G 3 4 1F - 3F 3 4 1F - 3G 3 4 3D - 1G 3 4 3D - 3F 3 4 3D - 3G 3 4 3F - 3D 4 3 3F - 1F 4 3 3F - 3F 4 3 3F - 3G 4 3 3F - 1G 4 4 3F - 3F 4 4 3F - 3G 4 4 3F - 3G 4 5 5p54f - 5p55g 3D - 3F 1 2 3D - 3F 2 2 1D - 3F 2 2 3
7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9
5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 7 7 7 7 9 9 9 11
360.3 10972.66 10132.89 10085.27 527.1 559.16 581.98 11171.57 11171.71 358.02 380.84 10970.43 10970.57 10087.54 10064.72 524.86 525.01 534.81 582.04 11172.01 333.67 380.9 10970.87 10111.89 10064.67 525.3 694.31 717.14 11306.72 11306.87 669.96 717.19 11307.16 668.65
1.330E-02 3.112E-05 1.309E-04 3.801E-04 1.407E-02 1.084E-01 8.582E-01 1.163E-03 7.752E-04 6.292E-01 1.116E-02 7.080E-04 2.571E-04 2.514E-03 2.620E-03 1.659E-01 3.245E-01 4.941E+00 4.238E-01 2.084E-02 4.174E-01 3.273E+00 1.028E-03 1.318E-02 3.516E-03 5.679E+00 5.342E-02 3.098E-02 1.573E-05 7.337E-07 2.096E-01 1.068E+00 1.087E-04 8.836E+00
3 5 5
5 5 5
2536.27 2533.11 2440.92
4.126E+00 3.929E+00 3.541E+06 3.372E+06 4.924E-01 4.701E-01 4.215E+05 4.024E+05 6.286E-01 6.462E-01 4.996E+05 5.136E+05 51
2.518E-02 6.353E-08 3.140E-07 9.226E-07 1.244E-02 8.563E-02 6.265E-01 2.291E-06 1.524E-06 1.205E+00 1.891E-02 1.444E-06 5.249E-07 6.077E-06 6.396E-06 1.478E-01 2.893E-01 4.272E+00 3.088E-01 4.097E-05 9.216E-01 5.536E+00 2.097E-06 3.192E-05 8.550E-06 5.050E+00 2.721E-02 1.481E-02 3.021E-08 1.414E-09 1.149E-01 5.097E-01 2.086E-07 4.850E+00
2.303E+02 4.999E+02 1.281E+03 3.684E+03 5.214E+02 3.230E+03 2.770E+04 1.383E+04 9.219E+03 7.685E+03 1.542E+02 8.119E+03 2.949E+03 2.437E+04 2.529E+04 4.356E+03 8.522E+03 1.047E+05 1.064E+04 1.928E+05 3.444E+03 3.520E+04 9.173E+03 1.285E+05 3.394E+04 1.161E+05 2.454E+03 1.518E+03 1.916E+02 8.938E+00 6.974E+03 4.071E+04 1.030E+03 2.396E+05
4.360E+02 1.020E+00 3.072E+00 8.942E+00 4.612E+02 2.551E+03 2.022E+04 2.724E+01 1.812E+01 1.472E+04 2.613E+02 1.656E+01 6.020E+00 5.892E+01 6.174E+01 3.880E+03 7.598E+03 9.056E+04 7.754E+03 3.790E+02 7.604E+03 5.953E+04 1.871E+01 3.110E+02 8.253E+01 1.033E+05 1.250E+03 7.258E+02 3.680E-01 1.722E-02 3.821E+03 1.943E+04 1.977E+00 1.315E+05
3F
- 3F2 3D - 3F 2 3 3D - 1F 2 3 3D - 3G 2 3 1D - 3F 2 3 1D - 1F 2 3 1D - 3G 2 3 3F - 3F 2 3 3F - 1F 2 3 3F - 3G 2 3 3D - 3F 3 2 1F - 3F 3 2 3G - 3F 3 2 3F - 3F 3 2 3D - 3F 3 3 3D - 1F 3 3 3D - 3G 3 3 1F - 3F 3 3 1F - 1F 3 3 1F - 3G 3 3 3G - 3F 3 3 3G - 1F 3 3 3G - 3G 3 3 3F - 3F 3 3 3F - 1F 3 3 3F - 3G 3 3 3D - 3F 3 4 3D - 1G 3 4 3D - 3H 3 4 3D - 3G 3 4 1F - 3F 3 4 1F - 1G 3 4 1F - 3H 3 4 1F - 3G 3 4 3G - 3F 3 4 3G - 1G 3 4 3G - 3H 3 4 3G - 3G 3 4 2
5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
5 7 7 7 7 7 7 7 7 7 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9
8162.79 2533.12 2555.07 13170.26 2440.93 2462.88 13078.07 8162.78 8140.83 2474.36 2443.63 2399.42 8160.02 8160.14 2443.64 2465.59 13080.78 2399.43 2421.37 13036.56 8160.01 8138.06 2477.13 8160.13 8138.18 2477.01 2465.58 2473.3 13080.76 13080.77 2421.37 2429.09 13036.54 13036.56 8138.07 8130.35 2477.11 2477.12
1.266E-04 6.370E+00 5.662E-03 7.104E-06 8.554E-02 5.958E+00 1.171E-03 2.834E-06 6.109E-04 6.709E+00 4.721E-02 2.593E-02 5.650E-06 5.516E-06 9.470E-01 2.963E-01 6.371E-05 1.154E-03 9.397E-01 8.845E-05 1.767E-05 1.338E-04 7.778E-02 1.635E-04 3.946E-06 5.099E-01 8.059E+00 2.423E-05 3.297E-07 1.713E-03 3.294E-02 8.218E+00 6.779E-04 4.900E-06 6.639E-05 3.259E-04 8.036E+00 1.289E+00 52
1.164E-05 6.081E+00 5.307E-03 2.509E-07 8.797E-02 6.016E+00 4.193E-05 2.607E-07 5.646E-05 6.712E+00 4.842E-02 2.759E-02 5.197E-07 5.075E-07 9.714E-01 2.985E-01 2.281E-06 1.228E-03 9.817E-01 3.188E-06 1.626E-06 1.238E-05 7.763E-02 1.505E-05 3.650E-07 5.090E-01 8.121E+00 2.469E-05 1.178E-08 6.134E-05 3.443E-02 8.531E+00 2.443E-05 1.767E-07 6.140E-06 3.020E-05 8.022E+00 1.287E+00
1.126E+03 3.895E+06 3.523E+03 1.174E+02 4.857E+04 3.444E+06 1.908E+04 2.519E+01 5.401E+03 3.914E+06 3.761E+04 1.992E+04 3.585E+01 3.500E+01 5.388E+05 1.716E+05 1.039E+03 6.329E+02 5.250E+05 1.432E+03 1.121E+02 8.445E+02 4.548E+04 1.038E+03 2.491E+01 2.981E+05 3.631E+06 1.098E+01 4.181E+00 2.173E+04 1.431E+04 3.594E+06 8.539E+03 6.173E+01 4.190E+02 2.053E+03 3.655E+06 5.864E+05
1.035E+02 3.718E+06 3.301E+03 4.147E+00 4.994E+04 3.477E+06 6.834E+02 2.317E+00 4.991E+02 3.916E+06 3.858E+04 2.119E+04 3.298E+00 3.220E+00 5.527E+05 1.729E+05 3.719E+01 6.739E+02 5.485E+05 5.162E+01 1.032E+01 7.810E+01 4.539E+04 9.546E+01 2.304E+00 2.976E+05 3.659E+06 1.120E+01 1.494E-01 7.778E+02 1.496E+04 3.731E+06 3.077E+02 2.225E+00 3.875E+01 1.902E+02 3.648E+06 5.854E+05
3F
- 3F4 3F - 1G 3 4 3F - 3H 3 4 3F - 3G 3 4 1G - 3F 4 3 1G - 1F 4 3 1G - 3G 4 3 3F - 3F 4 3 3F - 1F 4 3 3F - 3G 4 3 3G - 3F 4 3 3G - 1F 4 3 3G - 3G 4 3 1G - 3F 4 4 1G - 1G 4 4 1G - 3H 4 4 1G - 3G 4 4 3F - 3F 4 4 3F - 1G 4 4 3F - 3H 4 4 3F - 3G 4 4 3G - 3F 4 4 3G - 1G 4 4 3G - 3H 4 4 3G - 3G 4 4 1G - 1H 4 5 1G - 1G 4 5 1G - 3H 4 5 3F - 1H 4 5 3F - 1G 4 5 3F - 3H 4 5 3G - 1H 4 5 3G - 1G 4 5 3G - 3H 4 5 3G - 3F 5 4 3G - 1G 5 4 3G - 3H 5 4 3G - 3G 5 4 3
7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 11 11 11
9 9 9 9 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 11 11 11 11 11 11 11 11 11 9 9 9 9
8138.19 8130.47 2476.98 2477 2491.4 2513.35 13128.54 2399.39 2421.34 13036.53 8160.38 8138.44 2476.75 2513.35 2521.07 13128.52 13128.54 2421.34 2429.06 13036.51 13036.53 8138.44 8130.72 2476.73 2476.75 2499.1 2521.07 13128.52 2407.09 2429.06 13036.51 8152.69 8130.72 2476.73 2514.9 2522.62 13130.07 13130.09
8.300E-04 4.117E-05 1.099E+00 7.794E+00 1.304E-06 2.241E-02 3.589E-07 3.487E-02 3.440E-02 3.244E-06 2.811E-06 3.916E-06 9.326E-03 3.475E-04 7.848E-01 5.241E-06 1.108E-08 1.216E+00 2.299E-01 2.035E-05 1.127E-04 1.340E-04 1.115E-05 2.686E-01 3.189E-01 1.138E+01 1.319E-02 1.408E-06 3.394E-04 1.033E+01 8.367E-04 2.666E-07 4.513E-04 1.149E+01 2.778E-02 1.773E-02 1.266E-07 4.145E-07 53
7.676E-05 3.816E-06 1.097E+00 7.781E+00 1.282E-06 2.173E-02 1.275E-08 3.711E-02 3.594E-02 1.169E-07 2.586E-07 3.622E-07 9.313E-03 3.375E-04 7.563E-01 1.862E-07 3.934E-10 1.271E+00 2.387E-01 7.335E-07 4.063E-06 1.239E-05 1.033E-06 2.683E-01 3.185E-01 1.116E+01 1.272E-02 5.005E-08 3.603E-04 1.073E+01 3.016E-05 2.453E-08 4.181E-05 1.147E+01 2.691E-02 1.707E-02 4.499E-09 1.473E-08
5.238E+03 2.594E+02 4.996E+05 3.544E+06 7.712E-01 1.349E+04 5.894E+00 1.913E+04 1.922E+04 5.253E+01 1.387E+01 1.922E+01 5.451E+03 1.627E+02 3.697E+05 6.695E+01 1.415E-01 5.284E+05 1.006E+05 2.563E+02 1.420E+03 6.576E+02 5.462E+01 1.221E+05 1.450E+05 4.311E+06 5.084E+03 1.472E+01 1.192E+02 3.698E+06 8.623E+03 1.313E+00 2.211E+03 4.274E+06 1.302E+04 8.362E+03 1.618E+00 5.297E+00
4.845E+02 2.404E+01 4.988E+05 3.538E+06 7.581E-01 1.308E+04 2.094E-01 2.036E+04 2.008E+04 1.894E+00 1.276E+00 1.778E+00 5.444E+03 1.580E+02 3.562E+05 2.379E+00 5.025E-03 5.521E+05 1.044E+05 9.239E+00 5.118E+01 6.082E+01 5.061E+00 1.220E+05 1.448E+05 4.228E+06 4.903E+03 5.231E-01 1.266E+02 3.839E+06 3.108E+02 1.208E-01 2.049E+02 4.268E+06 1.261E+04 8.049E+03 5.748E-02 1.882E-01
3G
- 1H5 3G - 1G 5 5 3G - 3H 5 5 3G - 3H 5 6 5 5p 5f - 5p55g 3D - 3F 1 2 3D - 3F 2 2 1D - 3F 2 2 3F - 3F 2 2 3D - 3F 2 3 3D - 1F 2 3 3D - 3G 2 3 1D - 3F 2 3 1D - 1F 2 3 1D - 3G 2 3 3F - 3F 2 3 3F - 1F 2 3 3F - 3G 2 3 3D - 3F 3 2 1F - 3F 3 2 3F - 3F 3 2 3G - 3F 3 2 3D - 3F 3 3 3D - 1F 3 3 3D - 3G 3 3 1F - 3F 3 3 1F - 1F 3 3 1F - 3G 3 3 3F - 3F 3 3 3F - 1F 3 3 3F - 3G 3 3 3G - 3F 3 3 3G - 1F 3 3 3G - 3G 3 3 3D - 3F 3 4 3D - 1G 3 4 3D - 3H 3 4 3D - 3G 3 4 5
11 11 11 11
11 11 11 13
2500.65 2522.62 13130.08 2500.65
2.111E-01 9.574E-01 7.157E-06 1.371E+01
2.067E-01 9.216E-01 2.543E-07 1.343E+01
8.003E+04 3.695E+05 7.482E+01 4.399E+06
7.839E+04 3.556E+05 2.659E+00 4.309E+06
3 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
5 5 5 5 7 7 7 7 7 7 7 7 7 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9
29.86 27.28 20.35 10632.21 27.29 49.24 10664.43 20.34 1.61 10616.8 10632.2 10610.25 4.94 18.07 40.89 10629.97 10630.12 18.06 3.89 10619.08 40.88 18.94 10596.25 10629.96 10608.01 7.18 10630.11 10608.16 7.03 3.88 11.6 10619.05 10619.07
7.891E-02 8.987E-03 8.235E-03 7.147E-05 1.110E-01 4.628E-04 5.157E-06 1.554E-03 6.324E-03 2.105E-04 4.248E-07 1.579E-04 2.176E-02 5.665E-04 7.196E-04 6.025E-06 2.809E-07 1.137E-02 7.567E-04 1.279E-05 3.047E-05 1.195E-02 5.880E-05 9.569E-05 2.542E-05 9.367E-04 6.760E-06 6.065E-05 1.792E-03 2.062E-02 4.252E-07 6.999E-08 3.415E-04
2.051E-03 2.939E-04 4.535E-04 1.440E-11 3.758E-03 2.402E-06 1.178E-12 1.080E-04 5.694E-02 4.278E-11 1.649E-13 3.275E-11 2.066E-02 4.293E-05 9.709E-06 1.316E-12 4.927E-14 8.795E-04 1.207E-03 2.950E-12 7.951E-07 7.671E-04 1.193E-11 2.114E-11 5.261E-12 4.665E-04 1.576E-12 1.225E-11 8.462E-04 3.453E-02 2.592E-06 4.800E-16 7.626E-11
9.386E+00 8.922E-01 4.548E-01 1.078E+03 7.876E+00 1.069E-01 5.589E+01 8.571E-02 1.566E-03 2.261E+03 6.406E+00 2.371E+03 5.059E-02 1.763E-02 1.147E-01 6.487E+01 3.025E+00 3.535E-01 1.090E-03 1.374E+02 4.853E-03 4.083E-01 6.291E+02 1.030E+03 2.726E+02 4.599E-03 7.279E+01 6.504E+02 8.441E-03 2.304E-02 4.243E-06 5.849E-01 2.854E+03
2.440E-01 2.918E-02 2.505E-02 2.172E-04 2.667E-01 5.550E-04 1.277E-05 5.960E-03 1.410E-02 4.595E-04 2.487E-06 4.918E-04 4.805E-02 1.336E-03 1.547E-03 1.418E-05 5.305E-07 2.734E-02 1.739E-03 3.169E-05 1.267E-04 2.621E-02 1.276E-04 2.276E-04 5.642E-05 2.291E-03 1.697E-05 1.314E-04 3.985E-03 3.858E-02 2.586E-05 4.011E-09 6.374E-04
54
1F
- 3F4 1F - 1G 3 4 1F - 3H 3 4 1F - 3G 3 4 3F - 3F 3 4 3F - 1G 3 4 3F - 3H 3 4 3F - 3G 3 4 3G - 3F 3 4 3G - 1G 3 4 3G - 3H 3 4 3G - 3G 3 4 1G - 3F 4 3 1G - 1F 4 3 1G - 3G 4 3 3F - 3F 4 3 3F - 1F 4 3 3F - 3G 4 3 3G - 3F 4 3 3G - 1F 4 3 3G - 3G 4 3 1G - 3F 4 4 1G - 1G 4 4 1G - 3H 4 4 1G - 3G 4 4 3F - 3F 4 4 3F - 1G 4 4 3F - 3H 4 4 3F - 3G 4 4 3G - 3F 4 4 3G - 1G 4 4 3G - 3H 4 4 3G - 3G 4 4 1G - 1H 4 5 1G - 1G 4 5 1G - 3H 4 5 3F - 1H 4 5 3F - 1G 4 5 3
7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
9 9 9 9 9 9 9 9 9 9 9 9 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 11 11 11 11 11
18.94 11.22 10596.23 10596.25 10608.02 10600.3 7.16 7.17 10608.16 10600.44 7.01 7.03 6.29 28.24 10643.43 40.94 18.99 10596.2 10630.4 10608.45 6.74 28.24 35.96 10643.41 10643.42 18.99 11.27 10596.18 10596.2 10608.46 10600.74 6.72 6.73 13.99 35.96 10643.41 33.24 11.27
4.081E-04 6.167E-02 1.206E-04 2.761E-06 2.308E-04 5.167E-06 2.103E-03 4.120E-02 2.903E-05 8.968E-05 3.992E-02 1.511E-03 1.349E-08 4.127E-04 4.701E-07 9.667E-04 4.358E-04 2.144E-06 1.568E-06 2.879E-06 4.122E-05 3.932E-06 1.825E-02 7.063E-06 1.224E-08 1.550E-02 1.712E-03 3.827E-06 7.523E-05 9.752E-05 3.136E-06 1.184E-03 1.409E-03 1.035E-01 2.472E-04 1.344E-06 2.056E-05 7.794E-02 55
3.812E-05 1.144E-02 2.468E-11 7.745E-13 5.070E-11 7.063E-13 1.004E-03 2.034E-02 6.990E-12 1.906E-11 1.882E-02 7.420E-04 3.854E-15 1.175E-05 9.376E-14 1.458E-05 3.013E-05 4.867E-13 3.490E-13 6.485E-13 2.306E-05 3.429E-07 3.251E-04 1.417E-12 1.023E-15 1.087E-03 3.293E-04 9.042E-13 1.685E-11 2.177E-11 6.643E-13 6.663E-04 7.888E-04 1.231E-02 7.540E-06 3.382E-13 1.880E-06 1.552E-02
1.395E-02 7.400E-01 1.003E+03 2.297E+01 2.475E+03 5.532E+01 7.980E-03 1.571E-01 3.113E+02 9.602E+02 1.453E-01 5.528E-03 5.089E-08 3.136E-02 5.075E+00 1.201E-01 1.165E-02 2.294E+01 1.313E+01 2.401E+01 1.783E-04 2.323E-04 1.749E+00 5.930E+01 1.028E-01 4.145E-01 1.612E-02 3.185E+01 6.261E+02 8.134E+02 2.612E+01 3.956E-03 4.733E-03 1.227E+00 1.938E-02 9.234E+00 1.684E-03 7.338E-01
1.303E-03 1.372E-01 2.054E-04 6.445E-06 5.436E-04 7.563E-06 3.811E-03 7.757E-02 7.495E-05 2.041E-04 6.849E-02 2.714E-03 1.454E-14 8.932E-04 1.012E-06 1.811E-03 8.050E-04 5.208E-06 2.923E-06 5.409E-06 9.974E-05 2.026E-05 3.115E-02 1.190E-05 8.588E-09 2.906E-02 3.102E-03 7.524E-06 1.402E-04 1.816E-04 5.533E-06 2.227E-03 2.650E-03 1.460E-01 5.911E-04 2.323E-06 1.539E-04 1.461E-01
3F
- 3H5 3G - 1H 4 5 3G - 1G 4 5 3G - 3H 4 5 3G - 3F 5 4 3G - 1G 5 4 3G - 3H 5 4 3G - 3G 5 4 3G - 1H 5 5 3G - 1G 5 5 3G - 3H 5 5 3G - 3H 5 6 4
9 9 9 9 11 11 11 11 11 11 11 11
11 11 11 11 9 9 9 9 11 11 11 13
10596.18 10622.71 10600.73 6.72 29.54 37.26 10644.72 10644.73 15.29 37.27 10644.72 15.29
1.456E-04 3.897E-07 1.134E-04 5.065E-02 5.303E-04 4.255E-04 1.668E-07 5.461E-07 2.097E-03 2.298E-02 9.428E-06 1.362E-01
56
3.268E-11 3.353E-14 2.515E-11 2.848E-02 1.542E-05 7.781E-06 3.815E-14 1.218E-13 2.277E-04 4.200E-04 2.097E-12 1.479E-02
9.912E+02 3.259E+00 9.441E+02 1.386E-01 3.431E-02 4.380E-02 1.401E+00 4.586E+00 2.975E-02 1.935E+00 6.478E+01 1.635E+00
2.225E-04 2.804E-07 2.095E-04 7.796E-02 9.977E-04 8.008E-04 3.203E-07 1.023E-06 3.229E-03 3.537E-02 1.441E-05 1.774E-01
Table 3: Oscillator strengths in 129Xe I as obtained in the length 𝑓𝑖𝑓(𝑙) and velocity 𝑓𝑖𝑓(𝑣) forms of the electric dipole operator in the Babushkin and Coulomb gauges, respectively: Comparison with previous data. of the electric dipole operator in the Babushkin and Coulomb gauges, respectively: Comparison with previous data. Transition/ Reference
Experimental
Theoretical
𝑓𝑖𝑓
𝑓𝑖𝑓(𝑙)
𝑓𝑖𝑓
𝑓𝑖𝑓(𝑣)
5p6 - 5p57d 1S
0
- 3P1
This work Geiger [42] Chan et al. [43] Delage and Carette [44]
0.003280
0.0217 0.0227 ± 0.0023 0.027
0.002648
0.0190
5p6 - 5p58d 1S
0
- 3P1
This work Geiger [42] Chan et al. [43] Delage and Carette [44] 1S
0
0.001757 0.0096 0.0088 ± 0.0009 0.171
0.001429 0.0155
- 3D1
This work Geiger [42] Chan et al. [43] Delage and Carette [44]
0.138 0.123 0.0967 ± 0.0097 0.171
0.09028 0.123
57
Table 4: Transition rates (106 s ―1) in 129Xe I as obtained in the length 𝐴𝑓𝑖(𝑙) and velocity 𝐴𝑓𝑖(𝑣) forms of the electric dipole operator in Babushkin and Coulomb gauges, respectively: Comparison with previous data. Experimental Transition/Reference
Theoretical 𝐴𝑓𝑖(𝑙)
𝐴𝑓𝑖
𝐴𝑓𝑖
𝐴𝑓𝑖(v)
5p56s – 5p58p 3P
2
― 3D2
This work Sabbagh and Sadeghi [45] 3P
2
0.12642
0.1260
0.1629
0.07482
― 3D3
Sabbagh and Sadeghi [45] 2
0.008376
0.14 ± 0.06
This work
3P
0.02771
0.53 ± 0.06
― 3P2
This work Sabbagh and Sadeghi [45]
0.56 ± 0.06
Table 5: Relativistic Landé 𝑔𝐽-factor and magnetic diploe hyperfine structure constant 𝐴𝑀𝐷[MHz] of levels belonging to the 5g[K]J , 6f[K]J, nd[K]J (7≤ n ≤ 8) , 9s[K]J and 8p[K]J autoionizing Rydberg series for neutral xenon-129 isotope. 58
Designation
LS-Term
𝑔𝐽
𝐴𝑀𝐷
5g [5/2]2
3F
2
0.66598
8.36153E2
5g [5/2]3
3F
3
1.04781
5.97273E2
5g [11/2]5
1H
5
1.01513
― 4.94224E2
5g [11/2]6
3H
6
1.16701
― 4.18178E2
5g [7/2]3
1F † 3
0.86920
30.73939
5g [7/2]4
3F
4
1.12102
23.82331
5g [9/2]4
1G
4
0.96260
― 3.16346E2
5g [9/2]5
1G
5
1.15164
― 2.58824E2
5g' [9/2]4
3H
4
0.85897
― 1.41448E3
5g' [9/2]5
3H
5
1.06699
― 1.15164E3
5g' [7/2]3
3G † 3
0.91603
1.43914E3
5g' [7/2]4
3G
1.15759
1.12625E3
5p55g
4
5p56f 6 f [3/2]1
3D
0.49897
1.25444E3
6 f [3/2]2
3D
2
1.11006
5.41308E2
6 f [5/2]2
1D
2
0.83593
1.57998E2
6 f [5/2]3
3D
3
1.17521
― 32.05943
6 f [7/2]3
1F
3
0.96456
― 4.54859E2
6 f [7/2]4
3F
4
1.02440
― 6.19895E2
6 f [9/2]4
1G
4
1.19211
― 3.42809E2
6 f [9/2]5
3G
5
1.20041
― 5.01779E2
6 f ' [5/2]2
3F
2
0.88706
1.91684E3
6 f ' [5/2]3
3F
3
1.20066
1.43489E3
6 f ' [7/2]3
3G
3
0.82656
― 1.91826E3
6 f ' [7/2]4
3G
4
1.08404
― 1.43892E3
1.32961
1
― 3.9371E2
5p57d 59
7d [1/2]1
3P
1
1.32961
― 3.9371E2
7d [7/2]4
3F
4
1.25051
― 6.27930E2
7d [7/2]3
3F
3
1.07766
― 8.37591E2
7d [3/2]2
3P
2
0.97292
― 7.36793E2
7d [3/2]1
3D
1
0.83533
8.05265E2
7d [5/2]2
3F
2
1.32961
― 3.9371E2
7d [5/2]3
1F
3
1.22695
― 4.92672E2
7d' [5/2]2
1D
2
1.29173
1.78850E3
7d' [5/2]3
3D
3
1.11283
― 1.91662E3
7d' [3/2]2
3D
2
0.75830
― 2.76649E3
7d' [3/2]1
1P
1
0.83515
2.86240E3
8p[1/2]1
3S
1
1.80405
― 1.57692E3
8p[5/2]3
3D
3
1.33401
― 8.38393E2
8p[5/2]2
3D
2
1.11117
― 1.24652E3
8p[3/2]1
3D
1
1.03455
― 1.33851E3
8p[3/2]2
3P
2
1.38935
― 8.54076E2
8p' [3/2]1
1P
1
0.66336
― 5.77315E3
8p' [3/2]2
1D
2
1.16741
― 2.88214E3
8p' [1/2]1
3P
1
1.49999
2.86745E3
9s[3/2]1
3P
1
1.16735
2.07431E3
9s'[1/2]1
1P
1
1.33347
5.79029E3
9s[3/2]2
3P
2
1.50102
1.26951E3
8d [1/2]1
3P
1
1.31972
― 4.18112E2
8d [7/2]4
3F
4
1.25051
― 6.27644E2
8d [7/2]3
3F
3
1.07926
― 8.36024E2
8d [3/2]2
3P
2
0.97499
― 7.30735E2
p58p
5p59s
5p58d
60
8d [3/2]1
3D
1
0.84663
8.31541E2
8d [5/2]2
3F
2
1.30644
― 2.42170E2
8d [5/2]3
1F
3
1.22607
― 4.91471E2
8d' [5/2]2
1D
2
1.29489
1.86257E3
8d' [5/2]3
3D
3
1.11212
― 1.91821E3
8d' [3/2]2
3D
2
0.75766
― 2.83236E3
8d' [3/2]1
1P
1
0.83375
2.87094E3
Table 6: Comparison of relativistic Landé 𝑔𝐽-factor of some levels with previous experimental and theoretical results. 61
Designation LS-Term
Experimental work
Theoretical work
5p56f 6 f [3/2]1
3D
1
This work NIST [27] 6 f [3/2]2
0.49897 0.50 3D
2
This work
1.11006
NIST [27] 6 f [5/2]2
1.09 1D
2
This work
0.83593
NIST [27] 6 f [5/2]3
0.87 3D
3
This work
1.17521
NIST [27]
1.17
5p57d 7d [1/2]1
3P
1
This work
1.32961
Coulombe and Sinzelle [29] 7d [7/2]4
3F
1.273
1.295
4
This work
1.25051
NIST [7]
1.217
Coulombe and Sinzelle [29]
1.217
7d [7/2]3
3F
1.250
3
This work
1.07766
NIST [27]
1.026
Coulombe and Sinzelle [29]
1.026
7d [3/2]2
3P
1.049
2
This work
0.97292
NIST [27]
1.196
Coulombe and Sinzelle [29]
1.196
0.968 62
7d [3/2]1
3D
1
This work
0.83533
NIST [27]
0.819
Coulombe and Sinzelle [29]
0.819
7d [5/2]2
3F
0.799
2
This work
1.31102
NIST [27]
1.073
Coulombe and Sinzelle [29]
1.073
7d [5/2]3
1F
1.302
3
This work
1.22695
NIST [27]
1.263
Coulombe and Sinzelle [29]
1.263
7d' [5/2]2
1D
1.258
2
This work
1.29173
Coulombe and Sinzelle [29]
1.292
7d' [5/2]3
3D
3
This work
1.11283
Coulombe and Sinzelle [29]
1.113
7d' [3/2]2
3D
2
This work
0.758295
Coulombe et al. [29]
0.759
7d' [3/2]1
1P
1
This work
0.83515
Coulombe and Sinzelle [29]
0.824
5p58p 8p[1/2]1
3S
1
This work
1.80405
NIST [27] 8p[5/2]3
1.801 3D
3
This work
1.33401 63
Chenevier and Moskowitz 46]
1.329 ± 0.002
Moore [47]
1.272
NIST [27]
1.329
8p[5/2]2
3D
2
This work
1.11117
NIST[27] 8p[3/2]1
1.103 3D
1
This work
1.03455
NIST [27] 8p[3/2]2
1.036 3P
2
This work
1.38935
Chenevier and Moskowitz [46]
1.383 ± 0.002
NIST [27]
1.383
Moore [47]
1.395
8d [1/2]1
3P
1
This work
1.31972
NIST [27] 8d [7/2]4
1.18 3F
4
This work
1.25051
NIST [27] 8d [7/2]3
1.236 3F
3
This work
1.07926
NIST [27] 8d [3/2]2
1.076 3P
2
This work
1.30644
NIST [27] 8d [3/2]1
1.303 3D
1
This work
0.84663
NIST [27] 8d [5/2]2
0.914 3F
2
64
This work
0.97499
NIST [27] 8d [5/2]3
0.987 1F
3
This work NIST [27]
1.22607 1.246
Table 7: Comparison of the relativistic hyperfine coupling constant 𝐴𝑀𝐷 of some levels with other experimental and theoretical results. 65
Designation / LS-Term
Experimental work
Theoretical
5p56f 6f[3/2]2 3D2 5.41308E2
Present work Kono et al. [48]
6.51 E2 ± 20
5p57d 7d [1/2]1 3P1 ― 3.9371 E2
Present work
8.10714E2
Coulombe and Sinzelle [29] Jackson and Coulombe [49]
7.17804 E2 ± 15
7d [7/2]4 3F4 Present work
― 6.27930E2
Coulombe and Sinzelle [29]
― 6.33885E2
Jackson and Coulombe [49]
― 6.32387 E2 ± 15
7d [7/2]3 3F3 Present work
― 8.37591 E2
Coulombe and Sinzelle [29]
― 9.62067E2
7d [3/2]2 3P2 Present work
― 7.36793 E2
Coulombe and Sinzelle [29]
― 5.06509 E2
Jackson and Coulombe [49]
― 4.49564 E2 ± 15
7d [3/2]1 3D1 Present work
8.05265E2
Coulombe and Sinzelle [29]
― 0.79422 E2
Jackson and Coulombe [49]
0.0 ± 30
7d [5/2]2 3F2 ― 2.33229 E2
Present work
― 2.62246 E2
Coulombe and Sinzelle [29] 66
Jackson and Coulombe [49]
― 2.73370 E2 ± 6
7d [5/2]3 1F3 Present work
― 4.92672 E2
Coulombe and Sinzelle [29]
― 5.33483 E2
7d' [5/2]2 1D2 Present Work
1.78850 E3
Coulombe and Sinzelle [29]
1.85820 E3
7d' [5/2]3 3D3 Present work
― 1.91662E3
Coulombe and Sinzelle [29]
― 1.96759 E2
7d' [3/2]2 3D2 Present work
― 2.76649 E3
Coulombe and Sinzelle [29]
― 2.85547 E3
7d' [3/2]1 1P1 Present work
2.86240 E3
Coulombe and Sinzelle [29]
2.93415 E3
5p58p 8p[1/2]1 3S1 ― 1.57692E3
Present work Geisen et al. [50]
― 1.560 E3 ± 2
5p5 8d 8d [1/2]1 3P1 ― 4.18112E2
Present work Jackson and Coulombe [49]
― 7.43279E2 ± 24
Brandi et al. [51]
― 5.79 E2 ± 6
8d [3/2]1 3D1 8.3154 E2
Present Work Brandi et al. [51]
9.13 E2 ± 23
8d [3/2]2 3P2 67
― 2.42170E2
Present Work Jackson and Coulombe [49]
― 1.94811 E2 ± 15
68