, 93:83 | Cite as

Ultrasonic wave propagation in thermoelectric \(\hbox {ZrX}_{2 }\,(\hbox {X} = \hbox {S}, \hbox {Se})\) compounds

  • Shakti Pratap Singh
  • Gaurav Singh
  • Alok Kumar VermaEmail author
  • P K Yadawa
  • R R Yadav


In the present work, we have calculated temperature-dependent second- and third-order elastic constants (SOECs and TOECs) of thermoelectric zirconium disulphide (\(\hbox {ZrS}_{2})\) and zirconium diselenide (\(\hbox {ZrSe}_{2})\) 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.


Elastic constant ultrasonic attenuation phonon–phonon interaction thermal conductivity Grüneisen parameter 

PACS Nos 62.20.Dc 63.20.Kr 



The author (S P Singh) is thankful to the UGC, New Delhi, India for the financial support.


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Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  • Shakti Pratap Singh
    • 1
  • Gaurav Singh
    • 1
  • Alok Kumar Verma
    • 1
    Email author
  • P K Yadawa
    • 2
  • R R Yadav
    • 1
  1. 1.Physics DepartmentUniversity of AllahabadAllahabadIndia
  2. 2.Department of Physics, Prof. Rajendra Singh (Rajju Bhaiya) Institute of Physical Sciences for Study and ResearchVeer Bahadur Singh Purvanchal UniversityJaunpurIndia

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