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. 2015 Jun 16;115(15):948–982. doi: 10.1002/qua.24931

Table A8.

Non-vanishing quartic energy derivatives Ksstu with respect toInline graphic and their symmetry relations60

Symmetry Inline graphic w.r.t. Inline graphic Inline graphic Group N
Inline graphic Inline graphic Inline graphic II Inline graphic
Inline graphic II Inline graphic
Inline graphic Inline graphic Inline graphic II Inline graphic
Inline graphic Inline graphic Inline graphic II Inline graphic
Inline graphic Inline graphic Inline graphic II Inline graphic
Inline graphic Inline graphic Inline graphic II Inline graphic
Inline graphic Inline graphic Inline graphic II Inline graphic
Inline graphic Inline graphic Inline graphic II Inline graphic
Inline graphic Inline graphic Inline graphic II Inline graphic
Inline graphic Inline graphic Inline graphic II Inline graphic

ci is the subscript labelling the degenerate representation of mode i, for example ci = 1 for E or E1, ci = 2 for E2, etc. p is a non zero integer number and N indicates the order of the principal symmetry axis. For I and II Group classification see Table A1.