Past exam of the condensed matter physics course of the University of Oxford / 2022 / 4 / b / ii

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- Solution ii

Solution

The Curie constant measures the squared magnetic moment averaged over all orientations of the

J

multiplet, giving

m_{eff} = ∣ g ∣ J (J + 1), μ_{eff} = ∣ g ∣ μ_{B} J (J + 1) .

For the usual positive Landé g-factor of the ion here, the absolute-value sign can be omitted. This effective paramagnetic moment differs from the maximum projected or saturation magnetic moment,

μ_{sat} = ∣ g ∣ J μ_{B}

.

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