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The thermodynamic behavior of the fcc Blume-Capel ferromagnet, H=-J〈12〉S^z (1) S^z (2) +1{S^z (1) }^2-h1S^z (1), S^z=0, 1, is studied by series-extrapolation techniques. By using both high- and low-temperature series, we are able to trace first- and second-order branches of the phase boundary and examine behavior at temperatures both above and below the phase transition. We find a tricritical point at k₁{Tₓ}12J=0. 26150. 0070, {ₓ}12J=0. 47160. 0010. Tricritical exponents are consistent with ₓ=ₓ^'=1, ₓ=14, ₓ=ₓ=ₓ=ₓ^'=12, in good agreement with tricritical mean-field theory and the Gaussian tricritical fixed point of Riedel and Wegner.
Saul et al. (Sat,) studied this question.