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ih - 점군 대칭 지표표


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

Ih 점군

비가환군, 10(32) 기약 표현

Ih 점군에 대한 지표표
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

Ih 점군의 곱셈표
 AgT1gT2gGgHgAuT1uT2uGuHu
AgAgT1gT2gGgHgAuT1uT2uGuHu
T1gT1gAg+T1g+HgGg+HgT2g+Gg+HgT1g+T2g+Gg+HgT1uAu+T1u+HuGu+HuT2u+Gu+HuT1u+T2u+Gu+Hu
T2gT2gGg+HgAg+T2g+HgT1g+Gg+HgT1g+T2g+Gg+HgT2uGu+HuAu+T2u+HuT1u+Gu+HuT1u+T2u+Gu+Hu
GgGgT2g+Gg+HgT1g+Gg+HgAg+T1g+T2g+Gg+HgT1g+T2g+Gg+2HgGuT2u+Gu+HuT1u+Gu+HuAu+T1u+T2u+Gu+HuT1u+T2u+Gu+2Hu
HgHgT1g+T2g+Gg+HgT1g+T2g+Gg+HgT1g+T2g+Gg+2HgAg+T1g+T2g+2Gg+2HgHuT1u+T2u+Gu+HuT1u+T2u+Gu+HuT1u+T2u+Gu+2HuAu+T1u+T2u+2Gu+2Hu
AuAuT1uT2uGuHuAgT1gT2gGgHg
T1uT1uAu+T1u+HuGu+HuT2u+Gu+HuT1u+T2u+Gu+HuT1gAg+T1g+HgGg+HgT2g+Gg+HgT1g+T2g+Gg+Hg
T2uT2uGu+HuAu+T2u+HuT1u+Gu+HuT1u+T2u+Gu+HuT2gGg+HgAg+T2g+HgT1g+Gg+HgT1g+T2g+Gg+Hg
GuGuT2u+Gu+HuT1u+Gu+HuAu+T1u+T2u+Gu+HuT1u+T2u+Gu+2HuGgT2g+Gg+HgT1g+Gg+HgAg+T1g+T2g+Gg+HgT1g+T2g+Gg+2Hg
HuHuT1u+T2u+Gu+HuT1u+T2u+Gu+HuT1u+T2u+Gu+2HuAu+T1u+T2u+2Gu+2HuHgT1g+T2g+Gg+HgT1g+T2g+Gg+HgT1g+T2g+Gg+2HgAg+T1g+T2g+2Gg+2Hg

인쇄용 Ih 점군
Ih 점군의 인쇄용 지표표
Ih 점군의 인쇄용 곱셈표

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