1s2p RIXS Calculations for 3d Transition Metal Ions in Octahedral Symmetry

Table 6

Summary of the different notations in symmetry. T/S/K: Tanabe/Sugano/Kamimura, though Sugano also uses a variation of this notation as shown. The CTM4XAS program uses mostly the Butler notation, though the .ora-file translation is listed for ease of use.

Altmann	Mulliken	T/S/K	Sugano	Koster/Bethe	Butler	CTM4XAS
A1	A1	A1	A1	Γ1	0	0
A2	A2	A2	A2	Γ2		^0
E	E	E	E	Γ3	2	2
T1	T1	T1	T1	Γ4	1	1
T2	T2	T2	T2	Γ5		^1
E1/2	E’	E or E1	E1/2	Γ6	1/2	SO
F3/2	U’	G	G3/2	Γ8	3/2	S1
E5/2	E”	E’ or E2”	E5/2	Γ7		^S0