Obtaining Quartz Crystal Frequencies from Deterministic Temperatures and Random Angle Variations

David Chandler, Jeffrey Garstecki, and Aldo Morales

ABSTRACT The impact of the probability density function (PDF) of a quartz crystal angle on the frequency versus temperature curve (FTC) for a fundamental mode AT cut crystal is discussed. Frequency is treated as a function of a normally distributed, random crystal angle and a deterministic temperature. Four different means of specifying the FTC and the resulting PDFs are presented.

Digital Object Identifier 10.1109/TUFFC.2007.409

© 2007, by The Institute of Electrical and Electronics Engineers, Inc. All rights reserved.

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