Curie constant

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Curie's constant is

C = \frac{N g^2 \mu_B^2 J(J+1)}{3 k_B},

where N is the number of magnetic moments, g is the Landé g-factor, μB is the Bohr magneton, J is the angular momentum quantum number and kB is Boltzmann's constant. For a two level system with magnetic moment μ, the formula reduces to

C = \frac{N \mu^2 }{k_B}

It comes from Curie's Law, which is the relationship between magnetic susceptibility and temperature of a paramagnetic material

\chi = \frac{C}{T}.

This equation was first derived by Pierre Curie (Marie Curie's husband.)

Because of the relationship between magnetic susceptibility χ, magnetization M and applied magnetic field H:

\chi = \frac{M}{H},

this shows that for a paramagnetic system of non-interacting magnetic moments, magnetization M is inversely related to temperature T (see Curie's Law).

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