A General and Unified Theory of the Homophone Sequences of Transitions in Which the Soft Modes are Doubly Degenerate
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概要
- 論文の詳細を見る
Of homophone systems of phase transitions, especially those in which the soft modes are doubly degenerate are investigated in a general and unified way upon the basis of the considerations in the preceding paper [K. Aizu: J. Phys. Soc. Japan 38 (1975) 1592]. It is found that three general forms are possible for their pedigrees. It is clarified what character of the prototypic phase and the soft modes are responsible for this essential differentiation of pedigrees. The number of all situations of a ferroic phase of each rank in each general pedigree is determined. Illustrations are carried out with some cases where the space group of the prototypic phase and the transformation property of the soft modes are specified.
- 社団法人日本物理学会の論文
- 1975-12-15
著者
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Aizu Keitsiro
Hitachi Central Research Laboratory Kokubunzi
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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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- Considerations of Crystals which are "Antiferroelastic" as well as Paraelectric, Ferroelectric, or Antiferroelectric
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- 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
- Proposals Concerning the Sequence of Phase Transitions in K_2SeO_4
- Ferroics Whose Faintness Index for Ferroelectricity or Ferroelasticity is Unequal to That of the Soft Vibrational Modes
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- Investigation of Incommensurate Phases of the "Twiny"Gradient Form as Compared with Incommensurate Phases of the Simple Gradient Form
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