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Continued‐Fraction Approximation for the Inverse Brillouin Function
Author(s) -
Katriel J.
Publication year - 1987
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221390129
Subject(s) - brillouin zone , inverse , inverse temperature , hamiltonian (control theory) , inverse function , inverse problem , function (biology) , fraction (chemistry) , physics , mathematics , mathematical analysis , statistical physics , quantum mechanics , chemistry , thermodynamics , mathematical optimization , geometry , organic chemistry , evolutionary biology , biology
Abstract The first nine coefficients in the continued‐fraction representation of the inverse Brillouin function are obtained. The approximation thus generated is demonstrated to be of sufficient accuracy over the whole physically interesting range, in contrast with the corresponding power series. Possible applications of the inverse Brillouin function in non‐iterative molecular field theory as well as to the construction of the effective Hamiltonian, using the experimentally determined temperature dependence of the magnetization, are pointed out.