This document is provided by the Chemical Portal www.webqc.org C_{∞v} point group |
not Abelian, ∞ irreducible representations |
E | 2C_{∞} | ... | ∞ σ_{v} | linear, rotations |
quadratic | |
---|---|---|---|---|---|---|
A_{1}=Σ^{+} | 1 | 1 | ... | 1 | z | x^{2}+y^{2}, z^{2} |
A_{2}=Σ^{-} | 1 | 1 | ... | -1 | R_{z} | |
E_{1}=Π | 2 | 2cos(φ) | ... | 0 | (x, y) (R_{x}, R_{y}) | (xz, yz) |
E_{2}=Δ | 2 | 2cos(2φ) | ... | 0 | (x^{2}-y^{2}, xy) | |
E_{3}=Φ | 2 | 2cos(3φ) | ... | 0 | ||
... | ... | ... | ... | ... |