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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

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