Title :
Obtaining Quartz Crystal Frequencies from Deterministic Temperatures and Random Angle Variations
Author :
Chandler, David ; Garstecki, Jeffrey ; Morales, Aldo
Author_Institution :
Vectron Internat., Mt. Holly Springs
fDate :
7/1/2007 12:00:00 AM
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.
Keywords :
crystal resonators; probability; quartz; SiO2 - Binary; deterministic temperatures; frequency-temperature curve; fundamental mode AT cut crystal; probability density function; quartz crystal frequencies; random angle variations; Acoustic waves; Circuits; Displays; Frequency control; Lattices; Polynomials; Probability density function; Resonant frequency; Temperature distribution; Timing;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
DOI :
10.1109/TUFFC.2007.409
