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Curie's constant in the CGS unit system is

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

where $N$ is the number of magnetic moments, $g$ is the Landé g-factor, $μ B$ is the Bohr magneton, $J$ is the angular momentum quantum number and $k B$ is Boltzmann's constant. To convert to SI units, the above expression should be multiplied by $μ 0$ (the Magnetic constant)^[2]. 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).

[edit] See also

[edit] References

^ Kittel, Charles. Introduction to Solid State Physics, 8th Edition. Wiley. pp. 304. ISBN 047141526X.
^ Hook, J.R.; Hall, H.E.. Solid State Physics, 2nd Edition. Wiley. pp. 206. ISBN 0471928054.

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[0] Kittel, Charles. Introduction to Solid State Physics, 8th Edition. Wiley. pp. 304. ISBN 047141526X.

[1] Hook, J.R.; Hall, H.E.. Solid State Physics, 2nd Edition. Wiley. pp. 206. ISBN 0471928054.

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