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Occupation of sublevels<br />

If crystal field splitting ∆ is bigger than LS-coupling:<br />

∆ >> λL<br />

⋅S<br />

<br />

i.e. crystal electric fields are bigger than internal magnetic fields, only<br />

lowest levels are occupied.<br />

Occupation for more than 1 electron in d orbitals:<br />

• For d 2 -d 9 systems the electron-electron interactions must be taken<br />

into account.<br />

• For d 1 -d 3 systems, Hund's rule applies and predicts that the electrons<br />

will not pair and occupy the t 2g set.<br />

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

22

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