A two-sublattice peudospin model with distance-dependent interaction parame
ters is constructed for the ferroelectric phase transition at 307 K and for
the isomorphous anomaly at 180 K in pentakis (methylammonium) undecachloro
dibismuthate (III) (CH3NH3)(5)Bi2Cl11. A series of Monte Carlo simulations
involving continuous degrees of freedom of deformation is performed for the
model. The critical temperatures turn out about 23% lower than those resul
ting from the mean-field treatment for the three-dimensional fee lattice in
the absence of coupling with strain. An upward shift in the critical tempe
rature then is found due to the coupling with the strain. The multiple hist
ogram method is used to obtain the theoretical predictions for the temperat
ure dependence of the spontaneous polarization, dielectric susceptibility,
and specific heat. The existence of a narrow peak in the specific heat and
the ratio of the Curie constants close to 4 are confirmed. Evidence is give
n of the usefulness of the Monte Carlo method with fairly small simulation
boxes for the studies of isomorphous anomalies.