Chemistry Reference
In-Depth Information
Tab l e 7 . 8
Projection of generating functions to obtain a
1
and t SALCs for the H(1s) orbitals of CH
4
. The C
3
axes
are labelled A, B, C and D for elements passing through C H
1
,C H
2
,C H
3
and C H
4
respectively. For the
8C
3
class in group T (and T
d
), the characters for T representations are 0. The C
2
axes are labelled A, B and C for
elements bisecting H
1
C
H
2
,H
1
C
H
3
and H
1
C
H
4
respectively.
P
i
s
1
=
j
C
3
1(A,B,C,D)
C
3
2(A,B,C,D)
C
2
(A,B,C)
T
subgroup of
T
d
E
χ
i
(
j
)
T
j
s
1
A
1
T
j
s
1
s
1
s
1
,
s
4
,
s
2
,
s
3
s
1
,
s
3
,
s
4
,
s
2
s
2
,
s
3
,
s
4
3(
s
1
+
s
2
+
s
3
+
s
4
)
T
T
j
s
1
3
s
1
0
0
−
s
2
,
−
s
3
,
−
s
4
3
s
1
−
s
2
−
s
3
−
s
4
T
T
j
(
s
1
+
s
3
)
3(
s
1
+
s
3
)0
0
−
(
s
3
+
s
1
),
−
(
s
2
+
s
4
),
−
(
s
4
+
s
2
)
(
s
1
−
s
2
+
s
3
−
s
4
)
T
T
j
(
s
1
+
s
4
)
3(
s
1
+
s
4
)0
0
−
(
s
3
+
s
2
),
−
(
s
2
+
s
3
),
−
(
s
4
+
s
1
)
(
s
1
−
s
2
−
s
3
+
s
4
)
T
T
j
(
s
1
+
s
2
)
3(
s
1
+
s
2
)0
0
−
(
s
3
+
s
4
),
−
(
s
2
+
s
1
),
−
(
s
4
+
s
3
)
(
s
1
+
s
2
−
s
3
−
s
4
)