Thermal expansion of alpha quartz

Existing data for thermal expansion of alpha quartz (between -50 degrees C and 150 degrees 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 degrees C. To fully utilize the results, relationships between the CTEs and the thermal expansion coefficients ( alpha /sub ij/) were derived and alpha /sub ij/ referenced to 25 degrees C were obtained. Based on the results, an additional analysis to third order in alpha /sub ij/ values allow direct comparison with previously published thermal expansion coefficients. The influence of the new alpha /sub 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.<
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