This document is provided by the Chemical Portal www.webqc.org D2d point group |
not Abelian, 5(6) irreducible representations |
Subgroups: Cs, C2, D2, C2v, S4 |
E | 2S4 | C2 (z) | 2C'2 | 2σd | linear, rotations |
quadratic | |
---|---|---|---|---|---|---|---|
A1 | 1 | 1 | 1 | 1 | 1 | x2+y2, z2 | |
A2 | 1 | 1 | 1 | -1 | -1 | Rz | |
B1 | 1 | -1 | 1 | 1 | -1 | x2-y2 | |
B2 | 1 | -1 | 1 | -1 | 1 | z | xy |
E | 2 | 0 | -2 | 0 | 0 | (x, y) (Rx, Ry) | (xz, yz) |
A1 | A2 | B1 | B2 | E | |
---|---|---|---|---|---|
A1 | A1 | A2 | B1 | B2 | E |
A2 | A2 | A1 | B2 | B1 | E |
B1 | B1 | B2 | A1 | A2 | E |
B2 | B2 | B1 | A2 | A1 | E |
E | E | E | E | E | A1+A2+B1+B2 |