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Some experiments on the high-low transition of quartz; Recherches experimentales sur une transformation du quartz

Abstract

First section. - We expose on the one hand a theory of specific heat, thermal expansion and variations of elastic constants as functions of temperature, which is applicable only in the absence of transformation phenomena affecting symmetry or periodicity of the crystal lattice. On the other hand, we discuss some theories relative to the phenomena which accompany phase transformations. Second section. - We have gathered together numerical results concerning elastic, piezoelectric and optical properties of quartz. Some have been collected from the literature, other have been obtained in our laboratories with the help of experimental methods which we describe. As a result, we are able to present a complete picture of the evolution of these constants in a large temperature range containing the critical temperature of 574 deg. C at which these constants exhibit discontinuities. New phenomena have been observed, in the course of these studies. Third section. - We show that the evolution of the two piezoelectric and elastic constants which cancel out in the high temperature form is described by the same function. With the inclusion of one other function, it is possible to explain quantitatively the behaviour in the transformation range of all the other constants under  More>>
Authors:
Mayer, G [1] 
  1. Commissariat a l'Energie Atomique, Saclay (France). Centre d'Etudes Nucleaires
Publication Date:
Dec 15, 1959
Product Type:
Thesis/Dissertation
Report Number:
CEA-R-1330
Resource Relation:
Other Information: TH: These ES sciences physiques; 80 refs
Subject:
36 MATERIALS SCIENCE; ADIABATIC PROCESSES; CRYSTAL STRUCTURE; CRYSTAL-PHASE TRANSFORMATIONS; DIFFERENTIAL THERMAL ANALYSIS; ELASTICITY; ELECTRIC CONDUCTIVITY; ENTROPY; FREE ENTHALPY; GRUENEISEN CONSTANT; LATTICE VIBRATIONS; NERNST HEAT THEOREM; OPTICAL PROPERTIES; ORDER-DISORDER TRANSFORMATIONS; PIEZOELECTRICITY; POISSON RATIO; PRESSURE DEPENDENCE; QUARTZ; RAYLEIGH WAVES; RELAXATION TIME; SPECIFIC HEAT; TEMPERATURE DEPENDENCE; THERMAL EXPANSION; TRANSITION HEAT; TRANSITION TEMPERATURE; YOUNG MODULUS
OSTI ID:
20942967
Research Organizations:
CEA Saclay, 91 - Gif-sur-Yvette (France); Faculte des Sciences de l'Universite de Paris, 75 (France)
Country of Origin:
France
Language:
French
Other Identifying Numbers:
TRN: FR07R1330096420
Availability:
Available from INIS in electronic form
Submitting Site:
FRN
Size:
104 pages
Announcement Date:
Dec 13, 2007

Citation Formats

Mayer, G. Some experiments on the high-low transition of quartz; Recherches experimentales sur une transformation du quartz. France: N. p., 1959. Web.
Mayer, G. Some experiments on the high-low transition of quartz; Recherches experimentales sur une transformation du quartz. France.
Mayer, G. 1959. "Some experiments on the high-low transition of quartz; Recherches experimentales sur une transformation du quartz." France.
@misc{etde_20942967,
title = {Some experiments on the high-low transition of quartz; Recherches experimentales sur une transformation du quartz}
author = {Mayer, G}
abstractNote = {First section. - We expose on the one hand a theory of specific heat, thermal expansion and variations of elastic constants as functions of temperature, which is applicable only in the absence of transformation phenomena affecting symmetry or periodicity of the crystal lattice. On the other hand, we discuss some theories relative to the phenomena which accompany phase transformations. Second section. - We have gathered together numerical results concerning elastic, piezoelectric and optical properties of quartz. Some have been collected from the literature, other have been obtained in our laboratories with the help of experimental methods which we describe. As a result, we are able to present a complete picture of the evolution of these constants in a large temperature range containing the critical temperature of 574 deg. C at which these constants exhibit discontinuities. New phenomena have been observed, in the course of these studies. Third section. - We show that the evolution of the two piezoelectric and elastic constants which cancel out in the high temperature form is described by the same function. With the inclusion of one other function, it is possible to explain quantitatively the behaviour in the transformation range of all the other constants under study. With the help of crystallographic considerations and of hypotheses concerning the nature of the transformation entropy, we finally try to account for the experimental values of these two functions. (author) [French] Dans une premiere partie, nous exposons d'une part une theorie de la chaleur specifique, de la dilatation thermique et des variations des constantes elastiques des solides avec la temperature qui n'est valable qu'en l'absence de phenomenes de transformation affectant la symetrie ou la periodicite de l'edifice cristallin, et nous rappelons d'autre part quelques theories relatives aux phenomenes qui accompagnent les changements de phase. Dans une seconde partie, nous avons rassemble un grand nombre de resultats numeriques relatifs aux proprietes elastiques, piezoelectriques et optiques du quartz. Certains ont ete collectes dans la litterature; d'autres ont ete obtenus par nous a l'aide de methodes experimentales que nous decrivons, de facon a pouvoir presenter un tableau complet de l'evolution de ces constantes dans un domaine de temperature entourant largement le point de transformation {alpha} - {beta} situe a 574 deg. C. De nouveaux phenomenes ont ete observes au cours de ces mesures. Dans la troisieme partie, nous montrons qu'une meme fonction de la temperature decrit l'evolution de la constante piezoelectrique et de la constante elastique qui s'annulent en phase {beta}. Une seule autre fonction suffit a decrire correctement l'evolution de toutes les autres constantes etudiees, depuis leur valeur en phase {alpha} jusqu'a leur valeur en phase {beta}. A l'aide d'hypotheses sur la nature de l'entropie de transformation, nous essayons enfin d'expliquer la forme de ces fonctions. (auteur)}
place = {France}
year = {1959}
month = {Dec}
}