A quasi-one-dimensional (QOD) model in which soft modes develop by fluctuating correlated ionic shifts is applied to proper ferroelectric transitions, including cubic→ tetragonal, tetragonal→orthorhombic, and orthorhombic→orthorhombic, where the structural change is accomplished by two lattice-variant shears and a volume change relaxation.
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Shahar Mendelson (1984) studied this question.
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