This document is provided by the Chemical Portal www.webqc.org

Character table for Ih point group

E 12C5 12(C5)2 20C3 15C2 i 12S10 12(S10)3 20S6 15σ linear,
rotations
quadratic
Ag 1 1 1 1 1 1 1 1 1 1 x2+y2+z2
T1g 3 -2cos(4π/5) -2cos(2π/5) 0 -1 3 -2cos(2π/5) -2cos(4π/5) 0 -1 (Rx, Ry, Rz)
T2g 3 -2cos(2π/5) -2cos(4π/5) 0 -1 3 -2cos(4π/5) -2cos(2π/5) 0 -1
Gg 4 -1 -1 1 0 4 -1 -1 1 0
Hg 5 0 0 -1 1 5 0 0 -1 1 [2z2-x2-y2, x2-y2, xy, xz, yz]
Au 1 1 1 1 1 -1 -1 -1 -1 -1
T1u 3 -2cos(4π/5) -2cos(2π/5) 0 -1 -3 2cos(2π/5) 2cos(4π/5) 0 1 (x, y, z)
T2u 3 -2cos(2π/5) -2cos(4π/5) 0 -1 -3 2cos(4π/5) 2cos(2π/5) 0 1
Gu 4 -1 -1 1 0 -4 1 1 -1 0
Hu 5 0 0 -1 1 -5 0 0 1 -1

You may print and redistribute verbatim copies of this document.