  In order to predict the potential energy surface (PES) from measured
structure in equilibrium state, one should typically perform trial-and-error
statistical thermodynamic simulation with assumed multibody interactions. Very
recently, we derive map from a set of equilibrium structure in crystalline
solids to that of corresponding PES in explicit matrix form, where the PES can
be inversely determined from the measured structure. The practical problem to
construct the map appears when system size of measured structure is not
sufficiently large, which results in non-trivial treatment of asymmetry problem
in the map. The present study proposes alternative approach to avoiding
treatment of the asymmetry problem, demonstrating more accurate prediction of
the PES than the map constructed by explicitly treating the asymmetry.
