Table 17.6
Symmetry operations and their matrix representation of T
d
E:
1 0 0
0 1 0
0 0 1
0
B
@
1
C
A
8C
3 :
0 0 1
1 0 0
0 1 0
0
B
@
1
C
A
0
0 1
À1 0 0
0
À1 0
0
B
@
1
C
A
0 0
À1
1 0
0
0
À1 0
0
B
@
1
C
A
0 0
À1
À1 0 0
0 1 0
0
B
@
1
C
A
0 1 0
0 0 1
1 0 0
0
B
@
1
C
A
0
À1 0
0 0
À1
1 0
0
0
B
@
1
C
A
0 1 0
0 0
À1
À1 0 0
0
B
@
1
C
A
0
À1 0
0
0 1
À1 0 0
0
B
@
1
C
A
3C
2 :
À1 0 0
0
À1 0
0
0 1
0
B
@
1
C
A
À1 0 0
0 1 0
0 0
À1
0
B
@
1
C
A
1 0
0
0
À1 0
0 0
À1
0
B
@
1
C
A
6S
4 :
À1 0 0
0 0
À1
0 1 0
0
B
@
1
C
A
À1 0 0
0
0 1
0
À1 0
0
B
@
1
C
A
0
0 1
0
À1 0
À1 0 0
0
B
@
1
C
A
0 0
À1
0
À1 0
1 0
0
0
B
@
1
C
A
0
À1 0
1 0
0
0 0
À1
0
B
@
1
C
A
0 1 0
À1 0 0
0 0
À1
0
B
@
1
C
A
6σ
d :
1 0 0
0 0 1
0 1 0
0
B
@
1
C
A
1 0
0
0 0
À1
0
À1 0
0
B
@
1
C
A
0 0 1
0 1 0
1 0 0
0
B
@
1
C
A
0 0
À1
0 1 0
À1 0 0
0
B
@
1
C
A
0 1 0
1 0 0
0 0 1
0
B
@
1
C
A
0
À1 0
À1 0 0
0
0 1
0
B
@
1
C
A
660
17 Symmetry Groups