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## D5h 점군

비가환군, 8(12) 기약 표현
D5h 점군의 하위 군: Cs, C2, C5, D5, C2v, C5v, C5h

#### D5h 점군에 대한 지표표

E2C52(C5)25C'2σh2S52(S5)3vlinear,
rotations
quadratic
A'111111111x2+y2, z2
A'2111-1111-1Rz
E'122cos(2π/5)2cos(4π/5)022cos(2π/5)2cos(4π/5)0(x, y)
E'222cos(4π/5)2cos(2π/5)022cos(4π/5)2cos(2π/5)0(x2-y2, xy)
A''11111-1-1-1-1
A''2111-1-1-1-11z
E''122cos(2π/5)2cos(4π/5)0-2-2cos(2π/5)-2cos(4π/5)0(Rx, Ry)(xz, yz)
E''222cos(4π/5)2cos(2π/5)0-2-2cos(4π/5)-2cos(2π/5)0

#### D5h 점군의 곱셈표

A'1A'2E'1E'2A''1A''2E''1E''2
A'1A'1A'2E'1E'2A''1A''2E''1E''2
A'2A'2A'1E'1E'2A''2A''1E''1E''2
E'1E'1E'1A'1+A'2+E'2E'1+E'2E''1E''1A''1+A''2+E''2E''1+E''2
E'2E'2E'2E'1+E'2A'1+A'2+E'1E''2E''2E''1+E''2A''1+A''2+E''1
A''1A''1A''2E''1E''2A'1A'2E'1E'2
A''2A''2A''1E''1E''2A'2A'1E'1E'2
E''1E''1E''1A''1+A''2+E''2E''1+E''2E'1E'1A'1+A'2+E'2E'1+E'2
E''2E''2E''2E''1+E''2A''1+A''2+E''1E'2E'2E'1+E'2A'1+A'2+E'1

 C1 Cs Ci C2 C3 C4 C5 C6 C2v C3v C4v C5v C6v C2h C3h C4h C5h C6h D2 D3 D4 D5 D6 D2h D3h D4h D5h D6h D2d D3d D4d D5d D6d S4 S6 S8 S10 Td Oh Ih C∞v D∞h

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