title: Analysis of capacitance ratio of a rectangular X-cut length-extensional mode quartz crystal resonator by stresses.
abstract: The electrical properties of an X-cut, length-extensional mode quartz crystal resonator of a cut angle theta around the X-axis were calculated by a variational method using stresses as trial functions. Analytical expressions of stresses were estimated by a linear regression on a cut angle best-fit to the results of finite-element method. The calculated dependence of the capacitance ratio on the cut angle was consistent with the measured results.
authors.forename: Yukio
authors.initials: Y
authors.lastname: Yokoyama
authors.forename: Hirofumi
authors.initials: H
authors.lastname: Kawashima
authors.forename: Hisashi
authors.initials: H
authors.lastname: Kanie