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Journal ArticleDOI

Dynamical Theory of the Phase Transition in KH2PO4-Type Ferroelectric Crystals

Kenji K. Kobayashi
- 05 Mar 1968 - 
- Vol. 24, Iss: 3, pp 497-508
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TLDR
In this paper, the ferroelectric phase transition in [K-PO 4 ]-type crystals is explained by the coupling between the proton tunneling mode and the optical mode vibration of the complexes along the c-axis.
Abstract
Dynamical aspects of the ferroelectric phase transition in KH 2 PO 4 -type crystals are elucidated on the basis of the coupling between the proton tunneling mode and the optical mode vibration of the [K-PO 4 ] complexes along the c-axis. Two coupled modes are obtained within the framework of a linear theory. The mode in which both systems oscillate in phase is shown to be responsible for the ferroelectric phase transition. The isotope effect in the Curie point is explained qualitatively and the Curie constant is estimated.

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Citations
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Soft-mode spectroscopy: Experimental studies of structural phase transitions

TL;DR: In this article, the experimental studies of displacive phase transitions in solids are summarized, focusing on inelastic light scattering and neutron scattering; related infrared reflectivity measurements, as well as x-ray and EPR analyses are also summarized.
Journal ArticleDOI

Co-operative Jahn-Teller effects

TL;DR: The co-operative Jahn-Teller effect is a phase transition which is driven by the interaction between localized orbital electronic states and the crystal lattice as mentioned in this paper, and the possible origins, symmetries and properties of the electron-lattice interactions and how they lead to possible hamiltonians for the coupled system are discussed.
Journal ArticleDOI

The study of structural phase transitions by means of ultrasonic experiments

TL;DR: In this paper, the effects of various processes occurring at a structural phase transformation on the quantities measured in an ultrasonic experiment are discussed and various theoretical approaches are discussed as well as experimental results.
Journal ArticleDOI

Structural phase transitions I. Landau theory

TL;DR: In this paper, a review of the application of the Landau-Ginzburg theory to a wide variety of different phenomena which can occur at structural phase transitions is given, in particular, emphasis is placed on the nature of the fluctuations within Landau GINZburg theory and on the role of secondary order parameters.
Journal ArticleDOI

Dynamics of order-disorder-type ferroelectrics and anti-ferroelectrics

TL;DR: In this paper, a pseudo-spin wave theory for order-disorder-type ferroelectrics and anti-ferro-electrics is proposed. But the pseudo-Ising model is not suitable for the case of the non-ising model.
References
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Journal ArticleDOI

Collective motions of hydrogen bonds

TL;DR: In this article, the low frequency collective modes of protons are calculated for ferrroelectric crystals of the KH 2 PO 4 type taking into account the tunneling frequency and a simplified interaction between proton sites.
Journal ArticleDOI

Theory of the Transition in KH2PO4

TL;DR: In this paper, the theory of spontaneous polarization along the axis of the crystal, resulting in a well-known transition, similar to Rochelle salt, with polarization below the Curie point was worked out.
Journal ArticleDOI

Dynamics of the Ising Model near the Critical Point. I

TL;DR: In this paper, a simple dynamical model of interacting Ising spins is discussed, where each spin flips spontaneously with a transition probability which depends on the temperature and the configuration of surrounding spins, but its functional form is assumed to be the simplest.
Journal ArticleDOI

Crystal Stability and the Theory of Ferroelectricity

TL;DR: In this paper, it is shown that the parameters which determine the lattice vibrations of a diatomic ionic crystal may be chosen in such a way that the crystal will exhibit ferroelectric properties, and that anti-ferroelectric transitions may be regarded as the result of an instability of the crystal for a certain normal mode of vibration.