This document is provided by the Chemical Portal www.webqc.org D_{3} point group |
not Abelian, 3(4) irreducible representations |
Subgroups: C_{2}, C_{3} |
E | 2C_{3} (z) | 3C'_{2} | linear, rotations |
quadratic | |
---|---|---|---|---|---|
A_{1} | 1 | 1 | 1 | x^{2}+y^{2}, z^{2} | |
A_{2} | 1 | 1 | -1 | z, R_{z} | |
E | 2 | -1 | 0 | (x, y) (R_{x}, R_{y}) | (x^{2}-y^{2}, xy) (xz, yz) |
A_{1} | A_{2} | E_{} | |
---|---|---|---|
A_{1} | A_{1} | A_{2} | E_{} |
A_{2} | A_{2} | A_{1} | E_{} |
E_{} | E_{} | E_{} | A_{1}+A_{2}+E_{} |