D6h 점군

개요

D_6h Point Group

D_6h 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

예시

한국어명	영어명	화학식	그림	그림
벤젠	benzene	C6H6

지표표

	E	2C6	2C3	C2	3C'2	3C''2	i	2S3	2S6	σh	3σd	3σv	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

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

같이 보기

• Dnh 점군
• 점군

참고

• http://ko.webqc.org/symmetrypointgroup-d6h.html