HIGHER ORDER TEMPERATURE COEFFICIENTS OF THE ELASTIC STIFFNESSES AND COMPLIANCES OF ALPHA-QUARTZ

Abstract

The first-, second-, and third-order temperature coefficients of the elastic stiffnesses and compliances of alpha-quartz were determined using thickness modes of double-rotated quartz plates based on the Christoffel theory of thickness vibrations. The temperature dependence of all possible thickness modes can be calculated from the values of the elastic stiffnesses and their temperature coefficients as derived during this investigation. A curve showing the locus of the first-order zero temperature coefficient of frequency of thickness-shear modes was calculated and compared with experiments. The second- and third-order temperature coefficients of frequency of the first-order zero quarts cuts are given. Applications at AT, BT, CT, and DT cuts are made by comparing the calculated with the experimental values which characterize the frequency temperature behavior of crystals.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1963
Accession Number
AD0426194

Entities

People

  • A. D. Ballato
  • R. Bechmann
  • T. J. Lukaszek

Organizations

  • United States Army Communications-Electronics Command

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Coordinate Systems
  • Crystal Structure
  • Dielectric Permittivity
  • Elastic Properties
  • Elastic Waves
  • Electronics
  • Electronics Laboratories
  • Low Temperature
  • Materials
  • Military Research
  • New Jersey
  • Piezoelectric Crystals
  • Piezoelectric Effect
  • Piezoelectric Materials
  • Power Series
  • Three Dimensional
  • United States

Readers

  • Analytical Mechanics
  • Materials Science and Engineering.
  • Structural Dynamics.