Appendix F
Coupling Coefficients
Coupling coefficients are denoted as 3Γ symbols: Γ a γ a Γ b γ b |Γγ. Their symmetry properties were given in Sect. 6.3. Octahedral coefficients have been listed by
Griffith. Icosahedral coefficients are taken from the work of Fowler and Ceulemans
[11].
D 3
A 2 × EE
xy
a 2 x
0
−1
a 2 y
10
D 3
E × EA 1
A 2
E
a 1
a 2
xy
xx
1
√
2
0
−
1
√
2
0
yy
1
√
2
0
1
√
2
0
xy
0
1
√
2
0
1
√
2
yx
0
−
1
√
2
0
1
√
2
D 4
E × EA 1
A 2
B 1
B 2
a 1
a 2
b 1
b 2
xx
1
√
2
0
−
1
√
2
0
yy
1
√
2
0
1
√
2
0
xy
0
1
√
2
0
1
√
2
yx
0
−
1
√
2
0
1
√
2
A.J. Ceulemans, Group Theory Applied to Chemistry, Theoretical Chemistry and
Computational Modelling, DOI 10.1007/978-94-007-6863-5,
© Springer Science+Business Media Dordrecht 2013
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