This document is provided by the Chemical Portal www.webqc.org C6 point group |
Abelian, 4(6) irreducible representations |
Subgroups: C2, C3 |
E | C6 | C3 | C2 | (C3)2 | (C6)5 | linear, rotations | quadratic | |
---|---|---|---|---|---|---|---|---|
A | 1 | 1 | 1 | 1 | 1 | 1 | z, Rz | x2+y2, z2 |
B | 1 | -1 | 1 | -1 | 1 | -1 | ||
E1 | 1 1 |
e e* |
-e* -e |
-1 -1 |
-e -e* |
e* e |
x+iy; Rx+iRy x-iy; Rx-iRy |
(xz, yz) |
E2 | 1 1 |
-e* -e |
-e -e* |
1 1 |
-e* -e |
-e -e* |
(x2-y2, xy) |
A | B | E1 | E2 | |
---|---|---|---|---|
A | A | B | E1 | E2 |
B | B | A | E2 | E1 |
E1 | E1 | E2 | 2A+E2 | 2B+E1 |
E2 | E2 | E1 | 2B+E1 | 2A+E2 |