Table 17.4
Matrix representation of symmetry operations for D
2h
D
2h
E
C
2 (z)
C
2 ( y)
C
2 (x)
i
σ(xy)
σ(zx)
σ(yz)
Matrix
1 0 0
0 1 0
0 0 1
0
B
@
1
C
A
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
À1 0
0
0
À1 0
0
0
À1
0
B
@
1
C
A
1 0 0
0 1 0
0 0
À1
0
B
@
1
C
A
1 0 0
0
À1 0
0 0 1
0
B
@
1
C
A
À1 0 0
0 1 0
0 0 1
0
B
@
1
C
A
17.2 Successive Symmetry Operations
651
Matrix representation of symmetry operations for D
2h
D
2h
E
C
2 (z)
C
2 ( y)
C
2 (x)
i
σ(xy)
σ(zx)
σ(yz)
Matrix
1 0 0
0 1 0
0 0 1
0
B
@
1
C
A
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
À1 0
0
0
À1 0
0
0
À1
0
B
@
1
C
A
1 0 0
0 1 0
0 0
À1
0
B
@
1
C
A
1 0 0
0
À1 0
0 0 1
0
B
@
1
C
A
À1 0 0
0 1 0
0 0 1
0
B
@
1
C
A
17.2 Successive Symmetry Operations
651
