“…In practical applications, quartz thin plates with different size, shape and crystallographic orientation are carefully prepared to manufacture piezoelectric devices with a wide variety of frequencies. The frequency accuracy depends, among other things, on plate topographic characteristics such as roughness, cleanness, and the level of strained surface layer (Vig et al, 1974). Since lapping and polishing are expensive operations, the possibility to predict or simulate the topographic characteristics of quartz plate surfaces as a function of operating parameters such as contact forces, sliding velocities and abrasive grits would be highly desirable (Sekiguchi & Funakubo, 1980).…”