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Curie constant

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The Curie constant is a material-dependent property that relates a material's magnetic susceptibility to its temperature.

The Curie constant, when expressed in SI units, is given by

C = μ 0 μ B 2 3 k B N g 2 J ( J + 1 )

where N is the number of magnetic atoms (or molecules) per unit volume, g is the Landé g-factor, μ B (9.27400915e-24 J/T or A·m2) 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 μ , the formula reduces to

C = 1 k B N μ 0 μ 2

The constant is used in Curie's Law, which states that for a fixed value of a magnetic field, the magnetization of a material is (approximately) inversely proportional to temperature.

M = C T B

This equation was first derived by Pierre Curie.

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

χ = 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).


Curie constant Wikipedia

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