D6h 점군

1 찾아보기[ | ]

2 개요[ | ]

D6h Point Group
D6h 점군
  • 비가환군, 12(16) 기약 표현
  • 서브그룹
Cs 점군, Ci 점군, C2 점군, C3 점군, C6 점군,
C2v 점군, C3v 점군, C6v 점군, C2h 점군, C3h 점군, C6h 점군,
D2 점군, D3 점군, D6 점군, D2h 점군, D3h 점군, D3d 점군, S6 점군

3 예시[ | ]

한국어명 영어명 화학식 그림 그림
벤젠 benzene C6H6    

4 지표표[ | ]

E 2C6 2C3 C2 3C'2 3C''2 i 2S3 2S6 σh d v Linear,
rotations
Quadratic
A1g 1 1 1 1 1 1 1 1 1 1 1 1 x2+y2, z2
A2g 1 1 1 1 -1 -1 1 1 1 1 -1 -1 Rz
B1g 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1
B2g 1 -1 1 -1 -1 1 1 -1 1 -1 -1 1
E1g 2 1 -1 -2 0 0 2 1 -1 -2 0 0 (Rx, Ry) (xz, yz)
E2g 2 -1 -1 2 0 0 2 -1 -1 2 0 0 (x2-y2, xy)
A1u 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1
A2u 1 1 1 1 -1 -1 -1 -1 -1 -1 1 1 z
B1u 1 -1 1 -1 1 -1 -1 1 -1 1 -1 1
B2u 1 -1 1 -1 -1 1 -1 1 -1 1 1 -1
E1u 2 1 -1 -2 0 0 -2 -1 1 2 0 0 (x, y)
E2u 2 -1 -1 2 0 0 -2 1 1 -2 0 0

5 곱셈표[ | ]

A1g A2g B1g B2g E1g E2g A1u A2u B1u B2u E1u E2u
A1g A1g A2g B1g B2g E1g E2g A1u A2u B1u B2u E1u E2u
A2g A2g A1g B2g B1g E1g E2g A2u A1u B2u B1u E1u E2u
B1g B1g B2g A1g A2g E2g E1g B1u B2u A1u A2u E2u E1u
B2g B2g B1g A2g A1g E2g E1g B2u B1u A2u A1u E2u E1u
E1g E1g E1g E2g E2g A1g+A2g+E2g B1g+B2g+E1g E1u E1u E2u E2u A1u+A2u+E2u B1u+B2u+E1u
E2g E2g E2g E1g E1g B1g+B2g+E1g A1g+A2g+E2g E2u E2u E1u E1u B1u+B2u+E1u A1u+A2u+E2u
A1u A1u A2u B1u B2u E1u E2u A1g A2g B1g B2g E1g E2g
A2u A2u A1u B2u B1u E1u E2u A2g A1g B2g B1g E1g E2g
B1u B1u B2u A1u A2u E2u E1u B1g B2g A1g A2g E2g E1g
B2u B2u B1u A2u A1u E2u E1u B2g B1g A2g A1g E2g E1g
E1u E1u E1u E2u E2u A1u+A2u+E2u B1u+B2u+E1u E1g E1g E2g E2g A1g+A2g+E2g B1g+B2g+E1g
E2u E2u E2u E1u E1u B1u+B2u+E1u A1u+A2u+E2u E2g E2g E1g E1g B1g+B2g+E1g A1g+A2g+E2g

6 같이 보기[ | ]

7 참고[ | ]

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