Abstract
This work is totally focused on three types of ultrasonic velocities (V1, V2, V3) in TiN single crystals. They are determined by using the SOEC (second order elastic constant) and TOEC (third order elastic constant) at room temperature. TiN possesses rock slats structure and the atoms in the unit cell is equally located in all the direction. Therefore ultrasonic waves are supposed to be propoagted alongany direction with the crystals axis. Finally ultrasonic attenuationdue to phonon-phonon interaction and thermoelastic relaxation phenomena in TiNis evaluated for longitudinal and shear waves along , and crystallographic directions at the different temperature (temperature varies from 150 to 400K) by utilizing the SOEC and TOEC of the materials. The SOEC and TOEC, ultrasonic velocities, thermalrelaxation, anisotropic and acoustical coupling constant have been computedfor the evaluation of ultrasonic attenuation in this temperature range. The crystallographic direction is responsible for propogating the longitudinal ultrasonic wave while , direction is the best direction for propogating the shear waves due to lowest values of ultrasonic attenuationdue to phonon-phonon vibration in these direction.
Published Version
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