1
1
1
1
1
1
1
1
1
2
6
6
6
6
6
6
6
6
6
6
6
6
4
3
7
7
7
7
7
7
7
7
7
7
7
7
5
x o
y o
z o
x a
y a
z a
x b
y b
z b
2
6
6
6
6
6
6
6
6
6
6
6
6
4
3
7
7
7
7
7
7
7
7
7
7
7
7
5
¼
x
0
o
y
0
o
z
0
o
x
0
a
y
0
a
z
0
a
x
0
b
y
0
b
z
0
b
2
6
6
6
6
6
6
6
6
6
6
6
6
4
3
7
7
7
7
7
7
7
7
7
7
7
7
5
For the C 2 operation
À1
À1
1
0
0 0 À1 0 0
0
0 0 0 À1 0
0
0 0 0
0 1
À1 0 0 0
0 0
0 À1 0 0
0 0
0
0 1 0
0 0
2
6
6
6
6
6
6
6
6
6
6
6
6
4
3
7
7
7
7
7
7
7
7
7
7
7
7
5
x o
y o
z o
x a
y a
z a
x b
y b
z b
2
6
6
6
6
6
6
6
6
6
6
6
6
4
3
7
7
7
7
7
7
7
7
7
7
7
7
5
¼
x
0
o
y
0
o
z
0
o
x
0
a
y
0
a
z
0
a
x
0
b
y
0
b
z
0
b
2
6
6
6
6
6
6
6
6
6
6
6
6
4
3
7
7
7
7
7
7
7
7
7
7
7
7
5
similarly complicated matrices can be constructed for r xz and r yz operations.
The traces of the matrices result
E
C 2 r t xz r
0
t yz
v T ¼ 9 À1 þ 1 3
Local Cartesian coordinates in H 2 O
1.6 Irreducible Representations
19