Two kinds of symmetry causing a symmetric shape of the free energy cur
ve are presented in a Hamiltonian of a neutral reactant state for Pola
r solution. They are the symmetry for inversion of solvent molecules a
nd a reactant molecule. In addition, the deviation from the symmetry i
s formulated using a perturbation method. The antisymmetric part of th
e free energy curve is expressed by the symmetric part using a thermal
average of the deviation in the Hamiltonian and the reaction coordina
te.