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:
- the magnetic moment of a particle
- the parameter
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.