T_d対称性に属する分子


座標

molecule = {
{H, 0.000000000 , 0.000000000, -0.005999923},
{C, 0.000000000 , 0.000000000, 1.090000033},
{H, 1.033318520, 0.000000000 , 1.455333859},
{H, -0.516659558, -0.894880176 , 1.455333114},
{H, -0.516659558, 0.894880176 , 1.455333114}
};


指標表

Td	E	8C3	3C2	6S4	6sd
A1	1	1	1	1	1		x2+y2+z2
A2	1	1	1	-1	-1
E	2	-1	2	0	0		(2z2-x2-y2,x2-y2)
T1	3	0	-1	1	-1	(Rx,Ry,Rz)
T2	3	0	-1	-1	1	(x,y,z)	(xz,xz,yz)

直積表

Td	A1	A2	E	T1	T2
A1	A1
A2	A2	A1
E	E	E	(A1+A2+E)
T1	T1	T2	(T1+T2)	(A1+E+T1+T2)
T2	T2	T1	(T1+T2)	(A2+E+T1+T2)	(A1+E+T1+T2)