Radiospectroscopic and dielectric spectra of nanomaterials

Glinchuk, M. D.; Morozovskaya, A. N.

doi:10.1134/1.1602900

Cited by 2 publications

(2 citation statements)

References 13 publications

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“…(2) and (9), and the explicit and approximate forms for BðRÞ and CðRÞ can be found in [12]. The main advantage of Eq.…”

Section: Properties Of Nanomaterials and Free Energy With Renormalizementioning

confidence: 99%

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Effect of surface tension and depolarization field on ferroelectric nanomaterial properties

Glinchuk¹,

Morozovskaya

2003

Physica Status Solidi (b)

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The theory of size effects in nanocrystalline ferroelectric ceramics or nanoparticle powders allowing for surface tension and depolarization field is proposed. Surface tension was included in the free energy functional and extrapolation length was expressed via surface tension coefficient. The latter was shown to be dependent on temperature due to its relation to the dielectric permittivity of the nanoparticles. The depolarization field effect was calculated in the model taking into account the space-charge layer on the surface.The Euler-Lagrange equation for inhomogeneous polarization was solved analytically in both paraelectric and ferroelectric phases. The temperature and size dependence of the spontaneous polarization and dielectric susceptibility of nanomaterials was obtained. The possibility to calculate these and other properties by minimization of the conventional free energy in the form of different power polarization series, but with coefficients that depend on particle size, temperature, contribution of depolarization field and surface tension coefficient, was demonstrated. A comparison with available experimental data is performed.

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“…(2) and (9), and the explicit and approximate forms for BðRÞ and CðRÞ can be found in [12]. The main advantage of Eq.…”

Section: Properties Of Nanomaterials and Free Energy With Renormalizementioning

confidence: 99%

“…As shown in [12], more generally the surface tension coefficient in the ferroelectric phase can be represented as the sum of Dm s and that of the paraelectric phase m 0 , i.e.…”

Section: Surface Tensionmentioning

confidence: 99%