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Spin system definition, total angular momentum J

Posted: Mon Sep 09, 2024 2:38 am
by usrmb1

Hallo,
I have a question about spin system definition. We declare S and L, for example:
Sys = struct('S', 3/2, 'L', 6, 'g', [gr gw]); % one spin 1 associated S = 3/2 (3 electrons), L = 6.
S and L there are the same, however the total angular momentum J may be different. Two different rare-earth elements:
Nd3+, 4f3, ground state: 4I9/2 (S = 3/2, L = 6, J = L-S = 9/2)
Er3+, 4f11 ground state 4I15/2 (S = 3/2, L = 6, J = L+S = 15/2)
How to distinguish between the two elements in the calculation, for example in procedure resfields(…)?
How do I include the difference in the total angular momentum J in calculations? Does it matter?

Best regards and thanks in advance for your answer and help