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Ih 점군

Jmnote (토론 | 기여)님의 2017년 8월 27일 (일) 23:30 판 (→‎곱셈표)
(차이) ← 이전 판 | 최신판 (차이) | 다음 판 → (차이)

1 찾아보기[ | ]

대칭 점군

2 개요[ | ]

Ih Point Group
Ih 점군
  • 비가환군, 10(32) 기약 표현
  • 축구공

3 예시[ | ]

한국어명 영어명 화학식 그림 그림
버크민스터풀러렌 Buckminsterfullerene C60    

4 지표표[ | ]

E 12C5 12(C5)2 20C3 15C2 i 12S10 12(S10)3 20S6 15σ 선형, 회전 2차
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

5 곱셈표[ | ]

Ag T1g T2g Gg Hg Au T1u T2u Gu Hu
Ag Ag T1g T2g Gg Hg Au T1u T2u Gu Hu
T1g T1g Ag+T1g+Hg Gg+Hg T2g+Gg+Hg T1g+T2g+Gg+Hg T1u Au+T1u+Hu Gu+Hu T2u+Gu+Hu T1u+T2u+Gu+Hu
T2g T2g Gg+Hg Ag+T2g+Hg T1g+Gg+Hg T1g+T2g+Gg+Hg T2u Gu+Hu Au+T2u+Hu T1u+Gu+Hu T1u+T2u+Gu+Hu
Gg Gg T2g+Gg+Hg T1g+Gg+Hg Ag+T1g+T2g+Gg+Hg T1g+T2g+Gg+2Hg Gu T2u+Gu+Hu T1u+Gu+Hu Au+T1u+T2u+Gu+Hu T1u+T2u+Gu+2Hu
Hg Hg T1g+T2g+Gg+Hg T1g+T2g+Gg+Hg T1g+T2g+Gg+2Hg Ag+T1g+T2g+2Gg+2Hg Hu T1u+T2u+Gu+Hu T1u+T2u+Gu+Hu T1u+T2u+Gu+2Hu Au+T1u+T2u+2Gu+2Hu
Au Au T1u T2u Gu Hu Ag T1g T2g Gg Hg
T1u T1u Au+T1u+Hu Gu+Hu T2u+Gu+Hu T1u+T2u+Gu+Hu T1g Ag+T1g+Hg Gg+Hg T2g+Gg+Hg T1g+T2g+Gg+Hg
T2u T2u Gu+Hu Au+T2u+Hu T1u+Gu+Hu T1u+T2u+Gu+Hu T2g Gg+Hg Ag+T2g+Hg T1g+Gg+Hg T1g+T2g+Gg+Hg
Gu Gu T2u+Gu+Hu T1u+Gu+Hu Au+T1u+T2u+Gu+Hu T1u+T2u+Gu+2Hu Gg T2g+Gg+Hg T1g+Gg+Hg Ag+T1g+T2g+Gg+Hg T1g+T2g+Gg+2Hg
Hu Hu T1u+T2u+Gu+Hu T1u+T2u+Gu+Hu T1u+T2u+Gu+2Hu Au+T1u+T2u+2Gu+2Hu Hg T1g+T2g+Gg+Hg T1g+T2g+Gg+Hg T1g+T2g+Gg+2Hg Ag+T1g+T2g+2Gg+2Hg

6 같이 보기[ | ]

7 참고[ | ]

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