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An attempt at a phenomenological interpretation of the influence of a polarizing field on piezoelectric resonators

ПОПЫТКА ФЕНОМЕНОЛОГ ИЧЕСКОГО ОБЪЯСНЕНИЯ ВЛИЯНИЯ ПОЛЯРИЗУЮЩЕГО ПОЛЯ Н А ПЬЕЗОЭЛЕКТРИЧЕСКИ Е РЕЗОНАТОРЫ

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Cechoslovackij fiziceskij zurnal B Aims and scope

Abstract

The change in frequency of quartz piezoelectric resonators in a d-c electric polarizing field cannot be explained merely by a change in the dimensions of the resonator due to the polarizing field caused by the inverse piezoelectric effect and electrostriction. We are forced to admit that the elastic constants also change in a polarizing field. A phenomenological interpretation of the influence of a d-c electric polarizing field on the frequency of quartz resonators is proposed here, based on newly introduced quantities characterizing such a change. In conclusion it is shown in what way the quantities, on which the phenomenological theory is based, can be determined experimentally.

Abstract

Изменение частоты кв арцевых пьезоэлектр ических резонаторов в постоя нном электрическом поляризирующем поле нельзя объяснить лиш ь на основе изменений размеров р езонатора, обусловленных обрат ным пьезоэлектричес ким эффектом и электрострикцией. Н еобходимо допустить, что в поляр изирующем поле измен яются также упругие постоянные. На основе впервые вве денных величин, харак теризующих это изменение, сделан а попытка феноменологически о бъяснить влияние пос тоянного электрического поля ризующего поля на частоту кварцевых ре зонаторов. В заключен ие показано, каким образом можно э кспериментально определить величины, из которых исходит феноменологическая теория.

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Authors and Affiliations

  1. Dept. of Mathematics and Physics, College of Mechanical and Textile Engineering, Liberec

    K. Hruška

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  1. K. Hruška
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The author would like to thank Dr. J. Tichý for carefully reading the paper, for valuable discussion and numerous remarks on style and subject matter, which greatly helped to improve the text. He is also indebted to V. Janovec, C. Sc., for some new aspects and the exceptional interest with which he reviewed the paper.

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Hruška, K. An attempt at a phenomenological interpretation of the influence of a polarizing field on piezoelectric resonators. Czech J Phys 12, 338–353 (1962). https://doi.org/10.1007/BF01696235

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