Thermoelasticity in quartz

Details Thermoelasticity in quartz Thermoelasticity in quartz

Jun 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992esasp.340..397k&link_type=abstract

In ESA, Frequency and Time Forum p 397-402 (SEE N93-24978 09-70)

Physics

Coefficients, Quartz Crystals, Temperature Measurement, Thermal Expansion, Thermoelasticity, Dielectric Properties, Experimentation, Piezoelectricity, Resonant Frequencies, Thermal Analysis

Scientific paper

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.

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