C4H - POINT GROUP SYMMETRY CHARACTER TABLES |
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C4h Point Group |
| Abelian, 6(8) irreducible representations |
| Subgroups of C4h point group: Cs, Ci, C2, C4, C2h, S4 |
| E | C4(z) | C2 | (C4)3 | i | (S4)3 | σh | S4 | linear, rotations |
quadratic | |
|---|---|---|---|---|---|---|---|---|---|---|
| Ag | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | Rz | x2+y2, z2 |
| Bg | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | x2-y2, xy | |
| Eg | 1 1 |
i -i |
-1 -1 |
-i i |
1 1 |
i -i |
-1 -1 |
-i i |
Rx+iRy Rx-iRy |
(xz, yz) |
| Au | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | z | |
| Bu | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | ||
| Eu | 1 1 |
i -i |
-1 -1 |
-i i |
-1 -1 |
-i i |
1 1 |
i -i |
x+iy x-iy |
| Ag | Bg | Eg | Au | Bu | Eu | |
|---|---|---|---|---|---|---|
| Ag | Ag | Bg | Eg | Au | Bu | Eu |
| Bg | Bg | Ag | Eg | Bu | Au | Eu |
| Eg | Eg | Eg | Ag+Bg+Eg | Eu | Eu | Au+Bu+Eu |
| Au | Au | Bu | Eu | Ag | Bg | Eg |
| Bu | Bu | Au | Eu | Bg | Ag | Eg |
| Eu | Eu | Eu | Au+Bu+Eu | Eg | Eg | Ag+Bg+Eg |
| Printable: character table for C4h product table for C4h C4h point group |