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Calculated effective magnetic moment<br />

p<br />

J<br />

If we consider spin only:<br />

3 3<br />

= gJ<br />

J(<br />

J + 1 ) = 4<br />

.<br />

2 2<br />

( 4+<br />

1) = 20 = 6 7<br />

p<br />

S<br />

=<br />

g<br />

S<br />

S( S + 1 ) = 2 2 ⋅ 3 = 4.<br />

89<br />

Experimentally determined:<br />

p exp = 5.4<br />

The experimentally determined value is closer to<br />

S<br />

p<br />

then to<br />

J<br />

p<br />

In most cases of transition metal ions the orbital<br />

momentum appears to be quenched.<br />

H. Zabel 3. Lecture: Local Moments<br />

11

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