This document is provided by the Chemical Portal www.webqc.org S4 point group |
Abelian, 3(4) irreducible representations |
Subgroups: C2 |
E | S4 | C2 | (S4)3 | linear, rotations |
quadratic | |
---|---|---|---|---|---|---|
A | 1 | 1 | 1 | 1 | Rz | x2+y2, z2 |
B | 1 | -1 | 1 | -1 | z | x2-y2, xy |
E | 1 1 |
i -i |
-1 -1 |
-i i |
x+iy; Rx+iRy x-iy; Rx-iRy |
(xz, yz) |
A | B | E | |
---|---|---|---|
A | A | B | E |
B | B | A | E |
E | E | E | 2A+2B |