This document is provided by the Chemical Portal www.webqc.org D4 point group |
not Abelian, 5(6) irreducible representations |
Subgroups: C2, C4, D2 |
E | 2C4 (z) | C2 (z) | 2C'2 | 2C''2 | rotations |
functions |
|
---|---|---|---|---|---|---|---|
A1 | 1 | 1 | 1 | 1 | 1 | x2+y2, z2 | |
A2 | 1 | 1 | 1 | -1 | -1 | z, Rz | |
B1 | 1 | -1 | 1 | 1 | -1 | x2-y2 | |
B2 | 1 | -1 | 1 | -1 | 1 | 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 |