Ising Model with First-, Second-, and Third-Neighbor Interactions

The high-temperature expansion of the partition function of an Ising model in zero magnetic field is calculated through terms of T^-9 for a fcc lattice and variable first-, second-, and third-neighbor interactions (J₁, J₂, and J₃). Values of the transition temperature Tc and of the first-, second-, and third-neighbor correlation coefficients at T=Tc are given for J₂J₁ and J₃J₁ each varying between 0 and 2.