Considerations of Partially Ferroelastic and Partially Antiferroelastic Crystals and Partially Ferroelectric and Partially Antiferroelectric Crystals

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概要

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• It was reasoned that in normal ferroelastic crystals, if their prototypic (or peraelastic) phase transitions are of the second kind, the dependence of the spontaneous strain on temperature T should be proportional to (T_c-T)^<1/2> right below the transition temperature T_c and the T dependence of the elastic compliance should obey the so-called "Curie-Weiss law" above and below T_c. However, it is also considered that possible are ferroelastic crystals in which, whereas their prototypic phase transitions are of the second kind, the T dependence of the spontaneous strain should be proportional to T_c-T right below T_c and the T dependence of the elastic compliance should disobey the Curie-Weiss law above and below T_c. In this paper, two models of such ferroelastic crystals are presented and thermodynamically investigated. One of these models is not only ferroelastic but also feeroelectric; its spontaneous polarization and electric susceptibility should so peculiarly depend on T as its spontaneous strain and elastic compliance. These crystals are a kind of partially ferroelastic and partially antiferroelastic crystals and a kind of partially ferroelectric and partially antiferroelectric crystals; the ferroelasticity and ferroelectricity are "weaker" than the antiferroelasticity and antiferroelectricity respectively.

• 社団法人日本物理学会の論文
• 1970-03-05

著者

• Aizu Keitsiro

  Hitachi Central Reaearch Loboratory

関連論文

• A Reducible but Unreduced, Rectilinear System of Transition Parameters.Its Application to a Unified Phenomenological Theory of a Complex Family such as the Rochelle Salt Family
• Theory of Incommensurate Phase Transitions when Two Equivalent Directions of Modulation Exist in the Prototype and the Unmodulated Soft Modes are of a Nonzero Wavenumber
• Another Checkpoint for Second Order Transitions Equivalent to the Checkpoint of Positive Definiteness and Incompatible Inequalities
• Ferroelectrics Having an Irreversible (but Divertible) Spontaneous Polarization Vector
• Thermodynamical Theory of Equisymmetric Ferroic-to-Ferroic Transitions
• Possibility of Semicommensurate Phases When the Corresponding Purely Incommensurate Phases Are Forbidden
• Further Investigation of "Semicommensurte"Phases.Possibility of the Successive Second-Other Transitions,Prototypic→Incommensurate→Semicommensutate
• Temperature Dependences of Linear Electro-Incommensurate Constants in the Vicinity of the Transition from a Prototypic Phase to a Simultaneously Incommensurate and Ferroelectric Phase
• A Possible New Type of Simultaneously Incommensurate and Ferroelectric Phases
• General Cosiderations of Heterophone Sequences of Transitions
• A Further Study of Stirrability and Unstirrability among Soft Modes
• Interpretations of the Sequence of Transitions in Barium Sodium Niobate, Ba_2NaNb_5O_
• On the Orders of Lineal Phase Transitions
• Different "Subspecies" for Ferroic Phases Derived from a Common Prototype and Belonging to the Same Species
• Theory on the Possivility of Incommensurate Modulation along an Axis Perpendicular to the x Axis in K_2SeO_4
• A Reducible but Unreduced, Spherical System of Transition Parameters. Unified Phenomenological Theory, by Its Use, of the Rochelle Salt Family Containing Both Zone-Center Ferroelectrics and Zone-Boundary Ferroelectrics
• If an Incommensurate Phase is Possible, can Never the Transition from the Prototypic to a Commensurate Ferroic Phase be Second Order?
• Newly Formulated Phenomenological Theory of Incommensurate Transitions in a Substance like NaNO_2
• Comprehensive Tabulation of the Four Categories of Ferroic Point Groups Derived from Each of the 31 Prototype Point Groups
• Theory of the Induction of Incommensurate Condensations of Hard Modes by an Incommensurate Condensation of the Soft Modes in a Substance Like K_2SeO_4
• A Note on the Condensation of a Mode R Following the Condensation of a Soft Mode Q When R Couples with Q Merely in the Form Q^2 R^2
• Phenomenological Theory of the Transition Sequence in K_2SeO_4, Pnam → an Incommensurate Phase → Commensurate Pna2_1
• Therems Relating to Catastrophe Indices and to the "Fourth" Checkpoint for Second-Order Transitions
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• General Consideration of Ferroelectrics and Ferroelastics such that the Electric Susceptibility or Elastic Compliance is Temperature Independent in the Prototypic Phase
• General Considerations of Homophone Sequences of Phase Transitions
• Determination of the Catastrophe Indices for Every Prototype and Every Soft Mode System of Wavenumber Zero
• Group-Theoretical Interpretation of Faintness Index for Ferroelectricity or Ferroelsstictiy. : II. Faintness Index of a Ferroic Phase
• The Equivalents of Unique Ferroelectric Direction in the Paraelectric Crystal Having a Ferroelectric Phase Transition and the Ppssible Kinds of the Corresponding Ferroelectric Phase
• Subkinds of the 22 Kinds of Ferroelectrics, Complexity in the Narrower Sense, and Ferro-Ferroelectric Phase Transformations
• Symmetries in the Paraelectric Phase-Transformations of Ferroelectric Crystals
• Theoretical Explanations of the Nonvarying and the Decreasing of │P_s│with Cooling from T_c as Observed in some Ferroelectrics
• Inferred Temperature-Dependences of Electrical, Mechanical and Optical Properties of Ferroelectric-Ferroelastic Gd_2(MoO_4)_3
• Fundamentals of Mutual Conversion of Electrical Energy and Mechanical Energy by Simultaneously Ferroelectric and Ferroelastic Crystals
• Possibility of the Transition from an Incommensurate Phase Having Constant Phase Differences to an Incommensurate Phase Having Varying Phase Differences
• Theory of Inocommensurate Phase Transitions when the Soft Mode System Comprises Only a Nondegenerate Zero-Wavenumber Mode, as in NaNO_2
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• Conjectured Mechanism of the Phase Transformation of a Peculiar Ferroelectric-Ferroelastic Crystal: (NH_4)_2Cd_2(SO_4)_3
• Electrical, Mechanical and Electromechanical Orders of State Shifts in Nonmagnetic Ferroic Crystals
• Various Possible Forms of Absolute-Type Ferroelectro-Incommensurateness

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