105
Advances in Molecular Relaxation and Interaction Processes, 11(1/2) (1977)105-l14 0 Elsevier Scientific Publishing Company, Amsterdam - Printed in The Netherlands
CNDO/2
STUDY ON MOLECULAR
KRYSTYNA
ROMANOWSKA,
Institute
*
HENRYK
of Chemistry,
50-383 Wroclaw,
Department
OF ALIPHATIC
RATAJCZAK
University
AMINES
WITH HF AND F2
and W. J. ORVILLE-THOMAS*
of Wroclaw,
14 Joliot-Curie
Street,
(Poland)
of Chemistry
Salford M5 4WT, (Received
COMPLEXES
and Applied
Chemistry,
University
of Salford,
(Gt. Britain)
13 October
1976)
ABSTRACT
Properties
of molecular
complexes
formed between
HF and F2, respectively,
have been evaluated
amine-HF
hydrogen-bonded
complexes
energy,
amount of charge
fairly
constant
transfer
complexes
the binding
transferred
slightly
potential.
The results
nic structure
transferred,
increases
of the complexes
properties
enhancement studied.
energy decreases
are discussed
In the
(binding
of dipole moment)
are
In the amine-F2
charge
and the amount of charge
with the lowering
obtained
amines with
by the CNDO/Z method.
the calculated
in the series of systems
aliphatic
of the amine's
in relation
ionization
to the electro-
formed.
INTRODUCTION
Molecular
charge-transfer
xes, have been extensively subject
[l].
Recently
complexes.
charge
transfer
the electronic importance
However,
structure
in chemistry,
and properties physics
bond
at various
of hydrogen-
have been attempted
for
since the elucidation
for such complexes
of
are of great
and biology.
in the study of interactions
the relationship
and the electron-donor-acceptor
ents.
Recently
empirical
(HB) comple-
exists on this
calculations
out for a variety
fewer calculations
plexes
several
literature
orbital
This is regrettable
approach
is to examine
and a vast
have been carried
complexes.
One interesting complexes
studied
many SCF molecular
levels of approximation bonded
(CT), as well as hydrogen
between properties
correlations
in molecular
the properties
of the com-
of their isolated
between
certain
compon-
physico-
chemical
properties
of weak and moderately
have been found and discussed theory
on the basis of Mulliken's
These correlations
[l-7].
basis of quantum
chemical
might be further
calculations
ever, so far, no such systematic of structurally
similar
bonds
good model
in relation
amines.
systems
the molecular
of the literature
to provide
correlation
between
the molecular
ionization
potentials
tal geometries [17].
of the constituent
of charge
transfer
series of model
properties
of complexes
which has been successfully
complexes
in this work. complexes
systems when a
and the amine
the properties
applied
for a number
of molecular
complexes
AND RESULTS
with the usual parameters
for the amines
in the F2 molecule
and is equal to 1.1 w.
to be unchanged
during
[16].
Experimen-
are taken from the literwas determined
The geometry
by the
of the amines The following
the complexation.
is geometrical
the bond of the electron-acceptor
for the complex was chosen:
F2) was taken to be collinear
is used
and the HF molecule
The F-F distance
CNDO/Z method
model
of strong hydrogen
here.
The CNDO/Z method,
assumed
an important
It
amines might
[8-151 that the amine-halogen
is used to calculate
MO CALCULATIONS
ature
bond.
HF and aliphatic
properties
How-
is being sought.
The CNDO/Z MO method,
discussed
transfer on the
systems.
a strong hydrogen
properties
complexes
out for a series
amines have also been studied
shows
might be considered
of applications,
involving
for the study of properties
F2 and aliphatic
formed between
out for model
formed between
to the electron-donor
In addition
A review
carried
charge
investigated
studies have been carried
complexes
seems to us that the complexes provide
strong hydrogen-bonded
with
the symmetry
@F,
axis of the N lone pair
charge cloud of the amine. The dipole moments Table
1 together
calculated
with the values
and the ionization
potentials
The energy of formation erence between ted energies the complexes cular
the computed
studied
magnitude
of the complex,
components.
the change
transfer,
the change of dipole moment
are given in
for dipole moments
for the amines. AE, was obtained
Other properties
calculated
equilibrium
in the H-F bond length,
Aq; the dipole moment
due to the complex
as the diff-
and the sum of the compu-
in this paper are as follows:
R(N...F);
of charge
experimentally
energy of the complex
of the isolated
distances,
for the isolated molecules
obtained
intermole-
Ar(HF);
of the complex,
formation,
for
the
pN and
An, calculated
as
107
The results hydrogen-bonded-and
TABLE
in Table
obtained
are given in Table 2 for
3 for charge-transfer
complexes.
1
Molecular
parameters
for the isolated
molecules
and for amine-iodine
complexes
ionization
dipole moment
potential
molecule
Ii
experimental b value
a
(D)
enthalpy of complex
calculated c value
formationd (kcal/mol)
10.15
1.47
2.096
- 4.8
methylamine
ammonia
a.97
1.29
2.042
- 7.1
ethylamine
8.86
1.00
2.034
- 7.4
dimethylamine
8.24
1.03
1.805
- 9.8
trimethylamine
7.82
0.63
1.704
-12.1
1.736
1.861
HF
a
experimental
value
from ref.[37]
b c
experimental
value
from ref.[38]
d
experimental
calculated
TABLE
value
in this work
value
from ref.[9]
2
Physico-chemical
parameters
for amine-HF
hydrogen-bonded
systems by the
CND0/2 method
electron
donor
ammonia
F *** (2)
ArHF
AE
lJ
Au
*q
(G
(kcal/mol)
(D)
(D)
(e)
2.45
0.026
19.69
5.11
1.15
0.0986
%I
methylamine
2.45
0.026
20.13
5.05
1.15
0.0978
ethylamine
2.45
0.026
20.13
5.14
1.25
0.1006
dimethylamine
2.45
0.026
19.02
4.84
1.22
0.0985
trimethylamine
2.45
0.026
19.36
4.74
1.18
0.0978
108
TABLE 3 Physico-chemicalparameters for amine-F2 charge transfer complexes by the CNDO/Z method
electron donor
p
%...F
ArF-F 'E
(2)
(8)
(kcal/mol) (D)
Au
Aq
(D)
(e)
ammonia
2.85
0
1.88
2.44 0.35
methylamine
2.85
0
1.68
2.38 0.33 0.0174
ethylamine
2.85
0
1.61
2.40 0.37
0.182
dimethylamine
2.85
0
0.78
2.15 0.35
0.0183
trimethylamine 2.85
0
0.95
2.06 0.35 0.0190
*
0.0172
Here F signifies the fluorine atom mearest to the nitrogen nucleus.
DISCUSSION
Amine-HF hydrogen-bonded complexes
The results obtained show, as one might expect, that in the complexes studied a strong hydrogen bond is formed. The values obtained for the change of dipole moment (s 1 D) in the series studied indicates the formation of molecular hydrogen-bonded complexes rather than hydrogen-bonded ion-pair species [2]. Unfortunately, there are no experimental or ab initio data available for the complexes of alkylamines with HF.
However some indication of the
expected reliability of these calculated results may be obtained from a comparison with the results obtained for the F-H...NH3 complex since this entity has been extensively studied by using semiempirical as well as ab initio methods. The literature data obtained for the F-H...NH3 complex are given in Table 4. Examination of Table 4 shows that the binding energy value of the F-H ...NH3 complex obtained from ab initio calculations depends strongly upon the basis set used in the calculations. The minimal basis set (STO-3G) gives a AE value of ~8 kcal/mol, but an extended set (4-31G) predicts a binding energy of ~(16-18) kcal/mol. Our AE value (19.64 kcal/mol) is in fairly good agreement with those obtained from the (4-31G) set. Our AE values given in Table 3 are obtained by first minimizing the energy of the system calculated as a function of the hydrogen bond distance, R(N..F), and then minimizing the energy as a function of r(HF) in the complex. It
109 TABLE 4 Theoretical
values
enhancement
of dipole moments
of binding
energies
(AE), intermolecular
(Au), for ammonia-HF,
distances
(R),
F2 and trimethylamine-
F2 complexes.
method complex
of
RN..F (2)
calculations
NH3-HF
AE
*q
A!J
(&
(kcal/mol)
(e)
(D)
ref.
STO-3G
2.77
8.3
4-31G
2.77
18.0
1.14
19
2.69
16.3
0.84
19
HFAO
2.75
11.7
6-31G*
2.77
12.2
4-31G*
2.68
16.3
21
perturbation
2.65
12.17
22
STO-3G
2.75
8.5
23
4-31G
NH3-F2
ArHF,FF
(0)
0.93
20 0.79
INDO
2.45
0.04
31.7
0.149
24
2.45
0.026
20.0
0.097
25
CND0/2
2.47
13.08
26
CND0/2
2.45
11
27
STO-3G
2.81t
0.43
double-zeta
3.08t
0.60
28
extended
3.08t
0.62
28
polarized
3.04t
0.79
28
4-31G
3.00t
1.05
INDO
2.74t 0.01
Here F signifies
is interesting enhancement
the fluorine
0.34
the ab initio
atom closest
distance
calculations;
24
0.11
28
nucleus
is also obtained
lower in comparison
this discrepancy
0.078
to the nitrogen
Au,of the ammonia-HF
is much
28
29
10.4
to note that fairly good agreement
of dipole moment,
intermolecular
results
19
CND0/2
0.32
t
19
complex.
for the
However,
the
with that obtained
is usually
observed
from
for CND0/2
[30].
From an examination that all the calculated
of the results preperties
given in Table
2 it can be seen
(AE, R(N . ..F). Ar(HF),
Au, Aq) in the
110 series of complexes
studied
upon the ionization
potential
expect
from the charge
are fairly constant
of the lone pair of the amines as one might
transfer
behaviour
has been demonstrated
complexes
of aliphatic
Certainly
[321.
to be a purely
charge transfer Full agreement
(ES), charge
action.
However,
(CT) and exchange
basis,
useful
in these studies.
that the H3N-HF
static supplemented
complex
that the electrostatic
transfer complex.
contribution However,
the enhancement systems
results transfer
since the calculated
of dipole moment,
studied one may suggest
contributions
to the binding
obtained
may suggest
contribution
have recently
been obtained
Amine-fluorine
charge
The results
This
but that the charge
amount of charge
Au, are fairly constant transfer
energy of the
transfer,
Aq, and
in the series of
and polarization as well.
that for a strong hydrogen
bond the charge
energy
The
is fairly constant
is very interesting bond.
in con-
strong hydrogen and throws a new Analogous
from the energy decomposition
conclusions
studies
carried
[21].
transfer
obtained
electro-
contribution.
in the stabilization
of the strong hydrogen
and Morokuma
the formation
is dominant
Moro-
[Zl], on this
as strongly
transfer
found for weak and moderately
out by Umeyama
that
[35] is
energy are fairly constant
This conclusion
light on the properties
interinter-
question
(ECDD) scheme
he has shown
that the charge
the stabilization
trast to the indications [4,25,36].
charge
contribution
in molecular
to form the complex.
should be classified
is also important
(ER) [1,21].
repulsion
The important
decomposition Recently
by a substantial
impor-
terms depend on the properties
come together
energy and charge distribution
extremely
repulsion
forces
[33,34].
is how do these various which
of a 11,211.
bonds: viz.,
has been paid to the exchange
has not been well established
of the isolated molecules
bonds
transfer
energy of hydrogen
struc-
bond was con-
The importance
that at least three terms make
so far the role of dispersion
has to be answered
chloride
is now well established
to the stabilization
less attention
means
interaction.
The same molecular
the electronic
In early days the hydrogen
has now been reached
much
[l-7].
[31] and with hydrogen should reflect
contribution
electrostatic
bond
for the hydrogen-bonded
observed
bond.
Hitherto
kuma's
recently
electrostatic
interaction
tant contributions
actions
model of the hydrogen
amines with water
the behaviour
ture of the strong hydrogen sidered
and that they do not depend
complexes
(table 3) show that the CNDO/Z method
of weak complexes
between
F2 and alkylamines.
predicts
So far no
111
experimental
data are available
tion of the expected be obtained
for these complexes.
reliability
from a comparison
of the calculated
of data for F2-NH3
(table 4) which have been recently Examination the F2-NH3 closer
of Tables
and F2-N(CH3)3
to those obtained
the INDO method
slightly
obtained
from CNDO/Z
from ab initio studies
transfer
potential
theory
cement of the dipole moment the series of complexes
value monotonically
decreases
with
out by Lucchese
Similar
results
with
structure
interactions
have recently
charge
ant contributions
(ER)
from the enhan-
of amines.
published
[28] where
in
is for the bind-
of the amine's
The AE ionization
STO-3G calcula-
it has been shown
has a smaller binding ammonia
been obtained
complex
(see
by Morokuma
should be related
complexes.
The origin
in the literature
has now been reached complexes
to the stabilization
(ES), charge
result
potential
observed
discussed
transfer
depends
et al
complexes.
of the molecular
It seems to us that agreement
electrostatic
by
is fairly constant
striking
for the corresponding
has been widely
gen bondandin
formation
trimethylamine
and CH3H2N-ClF
transferred
unexpectedly,
the recently
As has been shown the behaviour electronic
of charge
the lowering
with
and Schaefer
of fluorine
[29] for the H3N-ClF
The most
to the ionization
than that calculated
Table 4).
of
are
than the ones evaluated
However,
due to complex
This is consistent
that the complex energy
energy values calculations
of the amines as expected
[13].
studied.
in relation
tions carried
complexes
[24].
charge
potential.
given here may
and F2-N(CH3)3
3 and 4 shows that the binding complexes
upon the ionization
ing energies
results
some indica-
studied by the ab initio method.
As one can see from Table 3 the amount
Mulliken's
However,
transfer
to the
of molecular
[1,8,10,27,29].
that both in the hydro-
at least three terms make
energy
of the complex.
import-
They are:
(CT) and short range exchange
repulsion
interactions. Recently
decomposition weak ES-CT
analyses,
partly
substitution
is reflected charge
by the exchange
one should expect
an increase
of the donor's
and charge ground
repulsion
ionization
potential
show that upon successive
transfer They
forces.
Due to
transfer
potential.
This
in the amount
decreases.
methylation
as a
state.
in the charge
ionization
studied by a slight increase
as the amine's
obtained
should be classified
that electrostatic
compensated
in the systems
system
ones in the electronic
due to a lowering
transferred
the results
that the H3N-F2
are the dominant
are, however,
stabilization
et al [29] have shown, on the basis of their energy
This means
complex.
interactions
methyl
Morokuma
of
Thus
of NH3 in the
112 H3H-F2
complexes
bution
greater
one observes
an increase
than the increase
stabilization
of the exchange
in the attractive
repulsion
contributions
contri-
to the
energy of the complex.
It is interesting dipole moment,
to note that the calculated
Au, for the complexes
studied
enhancement
of the
is fairly constant
and equal
to QO.35 D. Thus the amine-fluorine to the amine-iodine between
molecules enthalpy moment
charge
their properties is concerned of complex
transfer
transfer
[8,9].
complexes.
potential
the theoretical
Hence
the results
only with the experimental
(gas phase)
or perhaps with
obtained
question
mental
the electronic
matrix
structure
effects
of dipole
reported
in that
car-
here
here should strictly
data obtained
to be answered,
the
of the amines
from experiments
calculations
low temperature
leaves an important
systems
it should be noted
However,
systems were obtained
be compared
on the one hand, and solvent
of electron-donor
[9] as well as the enhancement
to the amine-fluorine
refer to the gas phase.
differently
insofar as the relations potential
depend upon the ionization
ried out in solution whereas
behave
In the case of the amine-iodine
the data for the amine-iodine
data reflect
complexes
complexes
with the ionization
formation
[13] strongly
contrast
charge
in isolated
isolation
conditions
data.
This
viz., how far does the experiof the amine-iodine
complexes
on the other?
ACKNOWLEDGMENTS
The authors assistance
and Professor
publication. Academy
thank Miss M. Redshaw K. Morokuma
H. Ratajczak
of Sciences
and Miss M. Szczesniak
for sending his papers
and K. Romanowska
for support
are thankful
for computer to us prior to
to the Polish
(PAN-3).
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