William Angerer - Department of Physics and Astronomy - University ...

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C6v E E £l. 2C3 2C 3 2C6 2C 6
~ 3u
Basis Functions
C2 3Ud 3uf
Ai fl 1 1 1 1 1 1 1 1 1 R or z
A2 f2 1 1 1 1 1 1 1 -1 -1 S;:
8 1 f3 1 1 -1 1 1 -1 -1 1 1 x3_3xy2
8 2 f.j 1 1 -1 1 1 1 1 -1 1
3 oJ
y -3yx-
El f5 2 2 -2 -1 -1 1 1 0 0 x or y
E2 f6 2 2 2 -1 -1 -1 -1 0 0 f3 x f5
f7 2 -2 0 1 -1 J3 -J3 0 0 'e l)e -1)
(/) 2' 2 ' (/) 2' T
f8 2 -2 0 1 -1 -J3 v'3 0 0 f7 x f3
f9 2 -2 0 -2 2 0 a a a
o e
-3) (3 3)
(/) 2' T ' (/) 2' ~
Table 5.4: Character table for C 6v
Adapted from [92]. Spin is contained in the f 7, r 8, and f 9 representations.
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