Ferromagnetic Curie Temperatures by the Kramers-Opechowski Method

The method of Kramers and Opechowski for obtaining the partition function of a magnetic lattice with nearest-neighbor interaction as a power series in inverse temperature is extended to the fifth degree for the body-centered and simple cubic and the quadratic layer lattices. Curie temperatures inferred from the behavior of the susceptibility demonstrate the internal consistency of the approach and show satisfactory agreement with the results of the Bethe-Peierls-Weiss method.