F Coupling Coefficients
225
O
T 1 × T 2
T 1
T 2
xy
zξηζ
xη
00
−
1
√
2
00
−
1
√
2
xζ
0
−
1
√
2
00
1
√
2
0
yξ
00
−
1
√
2
00
1
√
2
yζ
−
1
√
2
00
−
1
√
2
00
zξ
0
−
1
√
2
00
−
1
√
2
0
zη
−
1
√
2
00
1
√
2
00
In the icosahedral tables, φ denotes the golden number (1 +
√
5)/2, and
α = 3φ − 1,β= 3φ −1 + 1.
I
T 1 × T 1
AT 1
H
xy
z
θ
ǫ
ξ
η
θ
xx
1
√
3
000
φ −1
2
φ 2
2
√
3
000
xy
000
1
√
2
0
000
1
√
2
xz
00
−
1
√
2
00
00
1
√
2
0
yx
000
−
1
√
2
0
000
1
√
2
yy
1
√
3
000
−
φ
2
−
φ −2
2
√
3
000
yz
0
1
√
2
00
0
0
1
√
2
00
zx
00
1
√
2
00
00
1
√
2
0
zy
0
−
1
√
2
00
0
0
1
√
2
00
zz
1
√
3
000
1
2
−
√
5
2
√
3
000