Brillouin function

Brillouin function

[brēy·wan ¦fəŋk·shən]
(solid-state physics)
A function of x with index (or parameter) n that appears in the quantum-mechanical theories of paramagnetism and ferromagnetism and is expressed as [(2 n + 1)/2 n ] coth [(2 n + 1) x /2 n ] - (1/2 n) coth (x /2 n).
References in periodicals archive ?
Away from the hysteretic region, the M(H) relation shows curvature resembling the Brillouin function characteristic of localized paramagnetic moments with a tendency to approach a linear line in the high-field region.
The third term is the paramagnetic magnetization component, where [M.sub.0] is the paramagnetic saturation magnetization and [B.sub.J] is the Brillouin function. This term describes the response of localized free magnetic moments [mu] = Jg[[mu].sub.B] to the external magnetic field, where J is the angular momentum and g is the Lande factor (taken as g = 2).