Curie constant

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, mu_B is the Bohr magneton, J is the angular momentum quantum number and k_B is Boltzmann's constant. For a two level system with magnetic moment mu, 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 chi, 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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