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Character table for D5h point group

E 2C5 2(C5)2 5C'2 σh 2S5 2(S5)3 v
linear,
rotations
quadratic
A'1 1 1 1 1 1 1 1 1 x2+y2, z2
A'2 1 1 1 -1 1 1 1 -1 Rz
E'1 2 2cos(2π/5) 2cos(4π/5) 0 2 2cos(2π/5) 2cos(4π/5) 0 (x, y)
E'2 2 2cos(4π/5) 2cos(2π/5) 0 2 2cos(4π/5) 2cos(2π/5) 0 (x2-y2, xy)
A''1 1 1 1 1 -1 -1 -1 -1
A''2 1 1 1 -1 -1 -1 -1 1 z
E''1 2 2cos(2π/5) 2cos(4π/5) 0 -2 -2cos(2π/5) -2cos(4π/5) 0 (Rx, Ry) (xz, yz)
E''2 2 2cos(4π/5) 2cos(2π/5) 0 -2 -2cos(4π/5) -2cos(2π/5) 0

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