Abstract
The average mass of A ions m(A) in nonconductive perovskite titanates ATiO3 and (A′1/2 A′′1/2) TiO3 is found to be a good criterion which discriminates the 5 kinds of ferroelectrics (m(A) > 100 a.u.) from the 17 kinds of quantum paraelectrics (m(A) < 100 a.u.). The results denote that Last's mode A-TiO3 in the three ferroelectric soft modes in cubic ATiO3 is responsible to the appearance of ferroelectricity in perovskite titanates. Discussions of the effect of the mass-inequality on the amplitudes of the component particles in the two-particle simple harmonic oscillator are given concerned with Last's mode.