Ultrasonic wave propagation in thermoelectric $$\hbox {ZrX}_{2 }\,(\hbox {X} = \hbox {S}, \hbox {Se})$$ ZrX 2 <mspace width="0.166667em"/> ( X = S , Se ) compounds
 作者： Shakti Pratap Singh,  Gaurav Singh,  Alok Kumar Verma,  P K Yadawa,  R R Yadav 作者单位： 1Physics Department, University of Allahabad2Department of Physics, Prof. Rajendra Singh (Rajju Bhaiya) Institute of Physical Sciences for Study and Research, Veer Bahadur Singh Purvanchal University 刊名： Pramana, 2019, Vol.93 (5), pp.1-9 来源数据库： Springer Nature Journal DOI： 10.1007/s12043-019-1846-8 关键词： Elastic constant;  Ultrasonic attenuation;  Phonon–phonon interaction;  Thermal conductivity;  Grüneisen parameter; 英文摘要： Abstract(#br)In the present work, we have calculated temperature-dependent second- and third-order elastic constants (SOECs and TOECs) of thermoelectric zirconium disulphide ( $$\hbox {ZrS}_{2})$$ ZrS 2 ) and zirconium diselenide ( $$\hbox {ZrSe}_{2})$$ ZrSe 2 ) using a simple interaction potential model. SOECs have been used for the calculation of ultrasonic velocity along different orientations of propagation. Thermal relaxation time and ultrasonic attenuation have been determined with the help of SOECs and thermal conductivity. Temperature-dependent specific heat, thermal energy density, elastic coupling constants and Grüneisen parameters are also calculated using SOECs and other parameters. The dominating cause behind ultrasonic attenuation, in the temperature range of 300–900 K, is... the interaction of acoustical phonon and lattice phonon. In the present study, we observed that the thermal conductivity and energy density play significant roles in ultrasonic attenuation. Ultrasonic velocity and attenuation are correlated with other thermophysical properties extracting important information about the quality and nature of the materials which are useful for industrial applications.