Dissolution shapes ofY-rotated quartz plates andY sections derived from the polar diagram of the dissolution slowness

Abstract

A study has been made of the rate at which various Y-rotated quartz plates are etched in a concentrated ammonium bifluoride solution. The changes in the surface texture of these differently oriented plates on repeated etching are systematically investigated. To obtain all the information needed for an analysis of the dissolution shapes in the framework of the tensorial representation of the dissolution slowness the profile graph of a deeply etched Y-cut plate is also reported. The polar diagram Lxz(O) of the dissolution slowness associated with the Y-rotated quartz plates is then derived using profile graph data. Numerical and graphical simulations of the dissolution shapes are used to verify the adequation of the law Lxz (0). The comparison of the theoretical etch profiles with the Z" etch profiles produced by repeated etching on some Y-rotated quartz plates shows complete agreement. Excellent agreement is also found between the theoretical and experimental shapes of the magnified profile graph related to deeply etched Y sections. From the consistency between the observed dissolution shapes and the computed shapes deduced from the tensorial analysis of the dissolution we can conclude that the proposed polar diagram Lxz(O ) represents accurately the variations of the dissolution slowness with the angle 0 in the XZ plane.

Integrated digital architecture for measuring temperature using a VCO as sensor

“…Nowadays some architectures employ resonance mechanisms for measuring the temperature [1][2][3][4][5][6]. However, most of these structures require analog-digital converters in order to interpret the analog output of the sensor.…”

Dissolution slowness surfaces of cubic crystals

“…Tellier and co-workers have recently suggested that this be done using a tensorial analysis of dissolution [39][40][41][42] provided the etching process can be described by kinematic theory [1,[43][44][45][46]. Tellier and co-workers have recently suggested that this be done using a tensorial analysis of dissolution [39][40][41][42] provided the etching process can be described by kinematic theory [1,[43][44][45][46].…”