Crystal Electric Field

Splitting for integral J

Sym / J	0	1	2	3	4	5	6	7	8
Cubic	1	1	2	3	4	4	6	6	7
Hexagonal	1	2	3	5	6	7	9	10	11
Tetragonal	1	2	4	5	7	8	10	11	13
Lower sym.	1	3	5	7	9	11	13	15	17

Splitting for half-integral J

Sym / J	1⁄2	3⁄2	5⁄2	7⁄2	9⁄2	11⁄2	13⁄2	15⁄2
Cubic	1	1	2	3	3	4	5	5
Lower sym.	1	2	3	4	5	6	7	8

Resources

• Crystal Electric Field Lecture Notes by Bauer
• Crystal Electric Field splitting by symmetry (book part)