Paramagnetism – semiclassical

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Presentation transcript:

Paramagnetism – semiclassical If J is not zero, then you have paramagnetism Total angular momentum Energy of the moment at an angle What is the expected averaged moment along the field axis? Langevin function n is the volume density of moments

The J=1/2 case Several similarities Two spins, J=1/2, just two states (parallel or AP), to average statistically Several similarities Estimate the paramagnetic susceptibility

Generic J and the Brillouin function

Lande’ g-value and effective moment J=1/2 J=3/2 J=5 Curie law: c=CC/T

(2.828)2χT=g2S(S+1)