Thermoelasticity in quartz
Abstract
A critical analysis of experimental measurements of alpha quartz thermal expansion reported in the literature is presented. A recommended set of best measured values over the temperature range 50 to +150C was determined, as were values for the coefficient of thermal linear expansion and the thermoelastic coefficients alpha(sub ij)(sup (n)). The new alpha(sub ij)(sup (n)) values are: alpha(sub 11)(sup (1)) = 13.65 times 10 to the minus 6th power/K, alpha(sub 33)(sup (1)) = 7.50 x 10(exp 6)/K, alpha(sub 11)(sup (2)) = 11.02 x 10 (exp 1 9)/K squared, alpha(sub 33)(sup (2)) = 8.00 x 10(exp  9)/K squared, alpha(sub 11)(sup (3)) = 19.32 x 10(exp 1 12)/K cubed, alpha(sub 33)(sup (3)) = 10.44 x 10(exp 12)/K cubed. The impact of using the new alpha(sub ij)(sup (n)) 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.
 Publication:

ESA Special Publication
 Pub Date:
 June 1992
 Bibcode:
 1992ESASP.340..397K
 Keywords:

 Coefficients;
 Quartz Crystals;
 Temperature Measurement;
 Thermal Expansion;
 Thermoelasticity;
 Dielectric Properties;
 Experimentation;
 Piezoelectricity;
 Resonant Frequencies;
 Thermal Analysis;
 SolidState Physics