Abstract
In the present communication, temperature dependent elastic constant related to Debye temperature have been studied in LiNbO3 nano-particle embedded in Al-matrix. The size of the embedded material is considered in nano range. The nanoparticles of LiNbO3 were synthesized from chemical precipitation methods. LiNbO3 possesses hcp (hexagonal closed packing) crystal structure. Ultrasonic velocity, Grneisen parameter and acoustic coupling constant that depend on the second and third order elastic constants which are used for the determination of ultrasonic attenuation coefficient. The second and third order elastic constant were computed from deformation theory. The Debye temperature depends upon the size of the material. The change in Debye temperature was found to be maximum in smaller size particles. But it is decreased with increasing the size of the nano-particles. This is due to change in thermal expansion coefficients. The elastic constant also changes with changing the size of the nano particles. Smaller nano particles show large elastic constant but it decreases with increasing the sizes of the particles. Debye temperature not only changes by the size of the materials but also causes to change in elastic constant. The second and third elastic constants show the opposite relation with the temperature.
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