of the modified model the components of the dipole moment of the complex may be
written in the form
l a ¼
X
p\q
l
pq
a
ð3:2:1Þ
where the indexes p and q are the numbers of atoms in a complex and the values l
pq
a
are the dipole moment components of pq-bond. In this way the following expressions for dipole moment components can be obtained
l x ¼ l y ¼
aH zz
R 4 P
1
2 cos h
ð
Þþ
3
2
aH zz r
2
R 6 P
1
4 cos h
ð
Þ þ Á Á Á ;
ð3:2:2Þ
l z ¼ À3
aH zz
R 4 P
0
2 cos h
ð
ÞÀ
15
2
aH zz r
2
R 6 P
0
4 cos h
ð
Þ þ Á Á Á :
ð3:2:3Þ
Fig. 3.2 a Atom-diatomic molecular complex X 2 -Y. 1, 2—the atoms of X 2 molecule; 3—the
atom Y; r is the distance between atoms of X 2 ; R is the distance between Y and X 2 . b Components
of the dipole moment of N 2 –Ar complex calculated in the framework of the modified induction
model (R, l x and l y are in a.u., h in rad)
3.2 Dipole Moment of van der Waals Complexes
25
written in the form
l a ¼
X
p\q
l
pq
a
ð3:2:1Þ
where the indexes p and q are the numbers of atoms in a complex and the values l
pq
a
are the dipole moment components of pq-bond. In this way the following expressions for dipole moment components can be obtained
l x ¼ l y ¼
aH zz
R 4 P
1
2 cos h
ð
Þþ
3
2
aH zz r
2
R 6 P
1
4 cos h
ð
Þ þ Á Á Á ;
ð3:2:2Þ
l z ¼ À3
aH zz
R 4 P
0
2 cos h
ð
ÞÀ
15
2
aH zz r
2
R 6 P
0
4 cos h
ð
Þ þ Á Á Á :
ð3:2:3Þ
Fig. 3.2 a Atom-diatomic molecular complex X 2 -Y. 1, 2—the atoms of X 2 molecule; 3—the
atom Y; r is the distance between atoms of X 2 ; R is the distance between Y and X 2 . b Components
of the dipole moment of N 2 –Ar complex calculated in the framework of the modified induction
model (R, l x and l y are in a.u., h in rad)
3.2 Dipole Moment of van der Waals Complexes
25
