For the two state paramagnet, explain why the magnetization M approaches zero at high temperatures.

Expert Solution

In a paramagnetic material the magnetization of the material is (approximately) directly proportional to an applied magnetic field. However, if the material is heated, this proportionality is reduced: for a fixed value of the field, the magnetization is (approximately) inversely proportional to temperature. This fact is encapsulated by Curie's law:

where

is the resulting magnetisation

is the magnetic field, measured in teslas

is absolute temperature, measured in kelvins

is a material-specific Curie constant.

This relation was discovered experimentally (by fitting the results to a correctly guessed model) by Pierre Curie. It only holds for high temperatures, or weak magnetic fields. As the derivations below show, the magnetization saturates in the opposite limit of low temperatures, or strong fields and hence approacehes zero.

genius_generous answered 6 months ago

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