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On nuclear electric hexadecapole interactions (NEHI) in solids
Journal of Molecular Structure, 192 (1989) 387-388 Elsevier Science Publishers B.V., Amsterdam - Printed
387 in The Netherlands
ON NUCLEAR ELECTRIC HEXADECAPOLE (NEHI) IN SOLIDS
TIAN-JUAN
WANG* and JI-CHUN
INTERACTIONS
YANG
Institute of Physics, Academia Sinica, P.O. Box 603, Beijing (People’s Republic of China) (Received 4 January
1988)
ABSTRACT The importance of nuclear electric hexadecapole interaction in solids is stated. The recent measured results of antinomy isotopes in Sb& and of niobium 93 in NbF, polycrystals are reported.
The experimental investigation of the existence of nuclear hexadecapole interactions in solids is important for understanding the structure of the nucleus and its neighboring electric field pattern corresponding to a nuclear position in the lattice of a crystal. The primary detection of the nuclear hexadecapole interaction was made by Wang in crystals of antimony ( 123Sb and 12Sb) tribromide [l] through accurate measurement of frequencies of nuclear quadrupole resonance lines. The development of investigation about this subject both in theory and in experiment in the past 30 years has been discussed in detail in a previous paper [ 21. With a commercial PFT nuclear magnetic resonance spectrometer SPX 4100, Bruker, the detection of nuclear electric hexadecapole interactions of antinomy isotopes in antinomy compound (Sb,S,) at a temperature near 0” C is made on accurate frequency measurements of nuclear quadrupole resonance lines. Samples are placed in radio-frequency coils and immersed in liquid paraffin within brass shielding tanks stabilized by an ice water bath [ 21 monitored by a Beckmann thermometer with stability better than 0.01 “C. We find that eM,,m,, of 123Sb is - 24.4 -t 11.4 KHz and that of 12Sb - 52.2 & 4.0 KHz. The result, which is briefly published in the XXIII Congress AMPERE on Magnetic Resonance [ 41, bearing uncorrected numerical values of eMIGmlG is consistent with previous results obtained by Wang [l] and Gotou [3]. For nucleus of 1=9/2, the matrix elements for the quadrupole interaction energy are evaluated by *Author for correspondence.
0022-2860/89/$03.50
0 1989 Elsevier Science Publishers
B.V.
388
H,=
eQs
[ (311 -12) + fv (I”, +P)lop
41(21-l)
A doubly degenerate E5-33
1,; (
secular equation
is obtained
as
E3-44(1-$)I?” >
In this equation E is in units of eQq/24. From this equation, calculated by a series expansion in powers of q2
energy values are
The nuclear quadrupole resonance lines of g3Nb (I= 9/2 ) in NbF5 are measured very carefully at the same stabilized temperature as stated above. The result is e&q (of g3Nb) = 115.79430 MHz, r= 0.1304029, eMIGmlG=48 -t 10 kHz for crystal site 1; eQqz114.32454 MHz, ~=0.1728125, &@&=39% 11 kHz for site 2.
REFERENCES Tien-Chuan Wang, Phys. Rev., 99 (1955) 566. Tian-Juan Wang, J. Magn. Reson., 64 (1985) 194. Hiroshi Gotou, J. Magn. Reson., 54 (1983) 36. Tian-Juan Wang and Jichun Yang, Proc. XXIII Cong. AMPERE on Magn. Reson., Rome, Italy, 1986, p. 176.
387 in The Netherlands
ON NUCLEAR ELECTRIC HEXADECAPOLE (NEHI) IN SOLIDS
TIAN-JUAN
WANG* and JI-CHUN
INTERACTIONS
YANG
Institute of Physics, Academia Sinica, P.O. Box 603, Beijing (People’s Republic of China) (Received 4 January
1988)
ABSTRACT The importance of nuclear electric hexadecapole interaction in solids is stated. The recent measured results of antinomy isotopes in Sb& and of niobium 93 in NbF, polycrystals are reported.
The experimental investigation of the existence of nuclear hexadecapole interactions in solids is important for understanding the structure of the nucleus and its neighboring electric field pattern corresponding to a nuclear position in the lattice of a crystal. The primary detection of the nuclear hexadecapole interaction was made by Wang in crystals of antimony ( 123Sb and 12Sb) tribromide [l] through accurate measurement of frequencies of nuclear quadrupole resonance lines. The development of investigation about this subject both in theory and in experiment in the past 30 years has been discussed in detail in a previous paper [ 21. With a commercial PFT nuclear magnetic resonance spectrometer SPX 4100, Bruker, the detection of nuclear electric hexadecapole interactions of antinomy isotopes in antinomy compound (Sb,S,) at a temperature near 0” C is made on accurate frequency measurements of nuclear quadrupole resonance lines. Samples are placed in radio-frequency coils and immersed in liquid paraffin within brass shielding tanks stabilized by an ice water bath [ 21 monitored by a Beckmann thermometer with stability better than 0.01 “C. We find that eM,,m,, of 123Sb is - 24.4 -t 11.4 KHz and that of 12Sb - 52.2 & 4.0 KHz. The result, which is briefly published in the XXIII Congress AMPERE on Magnetic Resonance [ 41, bearing uncorrected numerical values of eMIGmlG is consistent with previous results obtained by Wang [l] and Gotou [3]. For nucleus of 1=9/2, the matrix elements for the quadrupole interaction energy are evaluated by *Author for correspondence.
0022-2860/89/$03.50
0 1989 Elsevier Science Publishers
B.V.
388
H,=
eQs
[ (311 -12) + fv (I”, +P)lop
41(21-l)
A doubly degenerate E5-33
1,; (
secular equation
is obtained
as
E3-44(1-$)I?” >
In this equation E is in units of eQq/24. From this equation, calculated by a series expansion in powers of q2
energy values are
The nuclear quadrupole resonance lines of g3Nb (I= 9/2 ) in NbF5 are measured very carefully at the same stabilized temperature as stated above. The result is e&q (of g3Nb) = 115.79430 MHz, r= 0.1304029, eMIGmlG=48 -t 10 kHz for crystal site 1; eQqz114.32454 MHz, ~=0.1728125, &@&=39% 11 kHz for site 2.
REFERENCES Tien-Chuan Wang, Phys. Rev., 99 (1955) 566. Tian-Juan Wang, J. Magn. Reson., 64 (1985) 194. Hiroshi Gotou, J. Magn. Reson., 54 (1983) 36. Tian-Juan Wang and Jichun Yang, Proc. XXIII Cong. AMPERE on Magn. Reson., Rome, Italy, 1986, p. 176.