Critical temperatures of the d=3, s=¹/₂ Ising model; the effect of confluent corrections to scaling

Much attention has been paid to the d=3, s=¹/₂ Ising model on the BCC lattice in recent years because the best high-temperature series expansions were available for this lattice. However, in order to compare series estimates of critical exponents and temperatures with independent evaluations via the Monte Carlo method, lattices of lower coordination number must be considered, since Monte Carlo studies are usually made on these. A study of extant susceptibility series on the FCC, SC, diamond and tetrahedron lattices is reported on and some comments are made on aspects of recent Monte Carlo analyses of the d=3, s=¹/₂ Ising model on the SC and diamond lattices.