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Deviations for Sm 3+ und Eu 3+<br />
Reason: small L ⋅S - coupling for these ions.<br />
Examplel: Sm 3+ (configuration 4f 5 )<br />
5<br />
Lz<br />
4f<br />
}<br />
-3<br />
5<br />
S =<br />
6 H<br />
-2<br />
2<br />
5/2<br />
-1<br />
L = 2 + 3 = 5<br />
0<br />
1<br />
5 5<br />
J = L − S = 5 − =<br />
2<br />
2 2<br />
3<br />
The next higher term:<br />
p J<br />
p exp<br />
Sm 3+ 0.845 1.74<br />
Eu 3+ 0 3.4<br />
5 7<br />
J = L − S + 1 = + 1=<br />
or<br />
6 H<br />
2 2<br />
7/2<br />
H. Zabel 3. Lecture: Local Moments<br />
34