High temperature series for the susceptibility of the Ising model. II. Three dimensional lattices

For pt. I see ibid., vol. 5, no. 5, 624. Extended series expansions for the high temperature zero-field susceptibility of the Ising model are given in powers of the usual high temperature counting variable v=tanh K for the simple cubic lattice to v17, the body-centred cubic lattice to v15, and the face-centred cubic lattice to v12, inclusive. The coefficients are analysed by the ratio method and it is estimated that, subject to the implicit assumptions thereof, the critical temperatures correspond to vf=0.21813+or-0.00001 (SC), vf=0.15612+or-0.00003 (BCC) and vf=0.10174+or-0.00001 (FCC). The symptotic behaviour of the coefficients is studied in detail; for the loose-packed lattices the decay of the even-odd oscillation in the ratios is found to be consistent with the assumption that the critical index of the high temperature specific heat is very close to 1/8.