Oh 점군

2 개요

O_h Point Group

O_h 점군

• 비가환군, 10(20) 기약 표현

3 예시

한국어명	영어명	화학식	그림	그림
육플루오린화 황	Sulfur hexafluoride	SF6

4 지표표

	E	8C3	6C2	6C4	3C2 =(C4)2	i	6S4	8S6	3σh	6σd	선형, 회전	2차
A1g	1	1	1	1	1	1	1	1	1	1		x2+y2+z2
A2g	1	1	-1	-1	1	1	-1	1	1	-1
Eg	2	-1	0	0	2	2	0	-1	2	0		(2z2-x2-y2, x2-y2)
T1g	3	0	-1	1	-1	3	1	0	-1	-1	(Rx, Ry, Rz)
T2g	3	0	1	-1	-1	3	-1	0	-1	1		(xz, yz, xy)
A1u	1	1	1	1	1	-1	-1	-1	-1	-1
A2u	1	1	-1	-1	1	-1	1	-1	-1	1
Eu	2	-1	0	0	2	-2	0	1	-2	0
T1u	3	0	-1	1	-1	-3	-1	0	1	1	(x, y, z)
T2u	3	0	1	-1	-1	-3	1	0	1	-1

5 곱셈표

	A1g	A2g	Eg	T1g	T2g	A1u	A2u	Eu	T1u	T2u
A1g	A1g	A2g	Eg	T1g	T2g	A1u	A2u	Eu	T1u	T2u
A2g	A2g	A1g	Eg	T2g	T1g	A2u	A1u	Eu	T2u	T1u
Eg	Eg	Eg	A1g+A2g+Eg	T1g+T2g	T1g+T2g	Eu	Eu	A1u+A2u+Eu	T1u+T2u	T1u+T2u
T1g	T1g	T2g	T1g+T2g	A1g+Eg+T1g+T2g	A2g+Eg+T1g+T2g	T1u	T2u	T1u+T2u	A1u+Eu+T1u+T2u	A2u+Eu+T1u+T2u
T2g	T2g	T1g	T1g+T2g	A2g+Eg+T1g+T2g	A1g+Eg+T1g+T2g	T2u	T1u	T1u+T2u	A2u+Eu+T1u+T2u	A1u+Eu+T1u+T2u
A1u	A1u	A2u	Eu	T1u	T2u	A1g	A2g	Eg	T1g	T2g
A2u	A2u	A1u	Eu	T2u	T1u	A2g	A1g	Eg	T2g	T1g
Eu	Eu	Eu	A1u+A2u+Eu	T1u+T2u	T1u+T2u	Eg	Eg	A1g+A2g+Eg	T1g+T2g	T1g+T2g
T1u	T1u	T2u	T1u+T2u	A1u+Eu+T1u+T2u	A2u+Eu+T1u+T2u	T1g	T2g	T1g+T2g	A1g+Eg+T1g+T2g	A2g+Eg+T1g+T2g
T2u	T2u	T1u	T1u+T2u	A2u+Eu+T1u+T2u	A1u+Eu+T1u+T2u	T2g	T1g	T1g+T2g	A2g+Eg+T1g+T2g	A1g+Eg+T1g+T2g

6 같이 보기

• 점군

7 참고

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