This document is provided by the Chemical Portal www.webqc.org S_{4} point group |
Abelian, 3(4) irreducible representations |
Subgroups: C_{2} |
E | S_{4} | C_{2} | (S_{4})^{3} | linear, rotations |
quadratic | |
---|---|---|---|---|---|---|
A | 1 | 1 | 1 | 1 | R_{z} | x^{2}+y^{2}, z^{2} |
B | 1 | -1 | 1 | -1 | z | x^{2}-y^{2}, xy |
E | 1 1 |
i -i |
-1 -1 |
-i i |
x+iy; R_{x}+iR_{y} x-iy; R_{x}-iR_{y} |
(xz, yz) |
A_{} | B_{} | E_{} | |
---|---|---|---|
A_{} | A_{} | B_{} | E_{} |
B_{} | B_{} | A_{} | E_{} |
E_{} | E_{} | E_{} | 2A_{}+2B_{} |