Brillouin function

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Brillouin function
for different values ​​of  J

The Brillouin function (after the French-American physicist Léon Brillouin (1889–1969)) is a special function that emerges from the quantum mechanical description of a paramagnet :

The symbols represent the following quantities :


With the Brillouin function, the magnetization of a paramagnet of the amount of substance in an external magnetic field can be formulated:


Another, semi-classical description of a paramagnet occurs with the help of the Langevin function , which results in the Limes and at the same time from the Brillouin function (whereby the total magnetic moment remains constant):


  • Torsten Fließbach: Statistical Physics - Textbook on Theoretical Physics IV . Elsevier Spectrum Academic Publishing House, Heidelberg 2006.

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