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

## D5d 점군

비가환군, 8(12) 기약 표현
D5d 점군의 하위 군: Cs, Ci, C2, C5, D5, C5v, S10

D5d 점군에 대한 지표표
E 2C5 2(C5)2 5C'2 i 2(S10)3 2S10 d linear,
rotations
quadratic
A1g 1 1 1 1 1 1 1 1 x2+y2, z2
A2g 1 1 1 -1 1 1 1 -1 Rz
E1g 2 2cos(2π/5) 2cos(4π/5) 0 2 2cos(2π/5) 2cos(4π/5) 0 (Rx, Ry) (xz, yz)
E2g 2 2cos(4π/5) 2cos(2π/5) 0 2 2cos(4π/5) 2cos(2π/5) 0 (x2-y2, xy)
A1u 1 1 1 1 -1 -1 -1 -1
A2u 1 1 1 -1 -1 -1 -1 1 z
E1u 2 2cos(2π/5) 2cos(4π/5) 0 -2 -2cos(2π/5) -2cos(4π/5) 0 (x, y)
E2u 2 2cos(4π/5) 2cos(2π/5) 0 -2 -2cos(4π/5) -2cos(2π/5) 0

D5d 점군의 곱셈표
A1g A2g E1g E2g A1u A2u E1u E2u A1g A2g E1g E2g A1u A2u E1u E2u A2g A1g E1g E2g A2u A1u E1u E2u E1g E1g A1g+A2g+E2g E1g+E2g E1u E1u A1u+A2u+E2u E1u+E2u E2g E2g E1g+E2g A1g+A2g+E2g E2u E2u E1u+E2u A1u+A2u+E2u A1u A2u E1u A2u A1g A2g E1g E2g A2u A1u E1u E2u A2g A1g E1g E2g E1u E1u A1u+A2u+E2u E1u+E2u E1g E1g A1g+A2g+E2g E1g+E2g E2u E2u E1u+E2u A1u+A2u+E2u E2g E2g E1g+E2g A1g+A2g+E2g

 인쇄용 D5d 점군 D5d 점군의 인쇄용 지표표 D5d 점군의 인쇄용 곱셈표

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