C5 Point Group
Abelian, 3(5) irreducible representationsCharacter table for C5 point group
| E | C5 | (C5)2 | (C5)3 | (C5)4 | linear, rotations | quadratic | |
|---|---|---|---|---|---|---|---|
| A | 1 | 1 | 1 | 1 | 1 | z, Rz | x2+y2, z2 |
| E1 | 1 1 | e e* | e2 e2* | e2* e2 | e* e | x+iy, Rx+iRy x-iy, Rx-iRy | (yz, xz) |
| E2 | 1 1 | e2 e2* | e* e | e e* | e2* e2 | (x2-y2, xy) |
Product table for C5 point group
| A | E1 | E2 | |
|---|---|---|---|
| A | A | E1 | E2 |
| E1 | E1 | 2A+E2 | E1+E2 |
| E2 | E2 | E1+E2 | 2A+E1 |
| C1 | Cs | Ci | ||
| C2 | C3 | C4 | C5 | C6 |
| C2v | C3v | C4v | C5v | C6v |
| C2h | C3h | C4h | C5h | C6h |
| D2 | D3 | D4 | D5 | D6 |
| D2h | D3h | D4h | D5h | D6h |
| D2d | D3d | D4d | D5d | D6d |
| S4 | S6 | S8 | S10 | |
| Td | Oh | Ih | ||
| C∞v | D∞h |
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