Thermal expansion of alpha quartz

Author

Kosinski, J.A. ; Gualtieri, J.G. ; Ballato, A.

Author_Institution

US Army Electron. Technol. & Devices Lab., Fort Monmouth, NJ, USA

fYear

1991

fDate

29-31 May 1991

Firstpage

22

Lastpage

28

Abstract

Existing data for thermal expansion of alpha quartz (between -50°C and 150°C) have been critically analyzed. A recommended best set of values was received, as were third-, and fourth-, and fifth-order power series expansions for the coefficients of thermal linear expansion (CTE), referenced to 0°C. To fully utilize the results, relationships between the CTEs and the thermal expansion coefficients (α_ij) were derived and α_ij referenced to 25°C were obtained. Based on the results, an additional analysis to third order in α_ij values allow direct comparison with previously published thermal expansion coefficients. The influence of the new α_ij on determinations of quartz material temperature coefficients and on the calculation of temperature coefficients of frequency for the case of the AT-cut are discussed

Keywords

crystal resonators; frequency stability; quartz; thermal expansion; -50 to 150 C; AT-cut; CTE; SiO₂ crystal; alpha quartz; calculation; coefficients of thermal linear expansion; fifth-order power series expansions; fourth order power series expansions; quartz material temperature coefficients; temperature coefficients of frequency; thermal expansion; thermal expansion coefficients; third order power series expansions; Crystalline materials; Data analysis; Electronics industry; Frequency; Laboratories; Materials reliability; Performance analysis; Piezoelectric materials; Temperature distribution; Thermal expansion;

fLanguage

English

Publisher

ieee

Conference_Titel

Frequency Control, 1991., Proceedings of the 45th Annual Symposium on

Conference_Location

Los Angeles, CA

Print_ISBN

0-87942-658-6

Type

conf

DOI

10.1109/FREQ.1991.145883

Filename

145883