A new theory on the origin of hysteresis in first order phase transformations was evaluated for its applicability to the phase transformation behavior in the Cs 1 − x Rb x H 2PO 4 solid solution system. Specifically, the correlation between λ 2, the middle eigenvalue of the transformation matrix describing the cubic-to-monoclinic superprotonic transition, and the transformation hysteresis was examined. The value of λ 2 was estimated from a combination of room temperature diffraction data obtained for compositions in the solid solution system and high temperature diffraction data obtained for the CsH 2PO 4 end-member. The transformation hysteresis was determined for Cs 1 − x Rb x H 2PO 4 compositions ( x = 0, 0.25, 0.50 and 0.75) by single-frequency electrical impedance measurements. It was found that the transition temperature increases monotonically with increasing Rb content, from 227.6 ± 0.4 °C for the end-member CsH 2PO 4 to 256.1 ± 0.3 °C for Cs 25Rb 75H 2PO 4, as does the hysteresis in the phase transition, from 13.4 °C to 17.4 °C. Analysis of the transformation matrix reveals that, for this system, λ 2 depends only on the b lattice parameter of the paraelectric phase and the a 0 lattice parameter of the cubic phase. The computed values of λ 2, based on extrapolations accounting for chemical contraction with increasing Rb substitution and thermal expansion on heating, were far from 1, ranging from 0.9318 to 0.9354. The observation of λ 2 increasing with Rb content is attributed to the relatively large thermal expansion in the b-axis of the low temperature monoclinic phase in combination with an increase in transition temperature with increasing x. That the hysteresis does not decrease as λ 2 approaches 1, counter to the theoretical expectations, may reflect uncertainties in the method of estimating λ 2 for Rb substituted compositions, or the discovery of a system in which hysteresis is not dominated by considerations of crystallographic compatibility.
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