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Study of Dielectric Properties and Ultrasonic Attenuation in KDP-Type Ferroelectrics


Affiliations
1 USIC, HNB Garhwal University, Srinagar, Garhwal, Uttrakhand 24 6174, India
 

The soft mode dynamical model has been used to study dielectric properties and ultrasonic attenuation in KDP-type ferroelectric crystals. The model Hamiltonian proposed by Blinc and Zeks has been modified by considering lattice anharmonicity up to fourth order. The correlations appearing in the dynamical equation have been evaluated using double-time thermal retarded Green's functions method and Dyson's equation. Without any decoupling, the higher order correlations, appearing in the dynamical equation, have been evaluated using the renormalized Hamiltonian. The expressions for collective frequencies, width, dielectric constant, ultrasonic attenuation, and tangent loss have been calculated. The dielectric properties and ultrasonic attenuation strongly depend on the relaxational mode behavior of stochastic motion of H2PO4 group in KDP-type ferroelectrics. By fitting model values of physical quantities, the temperature dependence of (Szq) and (Sxq) for different value of four-body coupling coefficient and dielectric constant and loss tangent has been calculated. The calculated and observed results have been found in good agreement.
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  • Study of Dielectric Properties and Ultrasonic Attenuation in KDP-Type Ferroelectrics

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Authors

Vijay Singh Bist
USIC, HNB Garhwal University, Srinagar, Garhwal, Uttrakhand 24 6174, India
Narayan Singh Panwar
USIC, HNB Garhwal University, Srinagar, Garhwal, Uttrakhand 24 6174, India

Abstract


The soft mode dynamical model has been used to study dielectric properties and ultrasonic attenuation in KDP-type ferroelectric crystals. The model Hamiltonian proposed by Blinc and Zeks has been modified by considering lattice anharmonicity up to fourth order. The correlations appearing in the dynamical equation have been evaluated using double-time thermal retarded Green's functions method and Dyson's equation. Without any decoupling, the higher order correlations, appearing in the dynamical equation, have been evaluated using the renormalized Hamiltonian. The expressions for collective frequencies, width, dielectric constant, ultrasonic attenuation, and tangent loss have been calculated. The dielectric properties and ultrasonic attenuation strongly depend on the relaxational mode behavior of stochastic motion of H2PO4 group in KDP-type ferroelectrics. By fitting model values of physical quantities, the temperature dependence of (Szq) and (Sxq) for different value of four-body coupling coefficient and dielectric constant and loss tangent has been calculated. The calculated and observed results have been found in good agreement.