Elastic and Ultrasonic Properties of Rare-earth Lutetium Monopnictides

  • Devraj SinghEmail author
  • Amit Kumar
  • Ram Krishna Thakur
  • Raj Kumar
Research Article


We present ultrasonic properties of lutetium monopnictides (LuPn: Pn = As and Sb) with the help of second and third order elastic constants in the temperature range 100–300 K. These elastic constants have been computed using Coulomb and Born–Mayer potential with the help of two basic parameters i.e., nearest neighbor distance and hardness parameter. First these elastic constants are applied to compute some mechanical constants such as bulk moduli (B), shear moduli (G), tetragonal moduli (Cs), Poisson’s ratio (ν) and Zener anisotropy ratio (A). The fracture to toughness ratio i.e., G/B was found greater than 0.57, therefore LuAs and LuSb are brittle in nature. In second part of present investigation we evaluated ultrasonic properties such as wave velocities for longitudinal and shear modes, Debye average velocity, Debye temperature and Grüneisen parameters, thermal relaxation time, thermal conductivity, acoustic coupling constants and ultrasonic attenuation due to phonon–phonon interaction along 〈100〉, 〈110〉 and 〈111〉 orientations. The achieved results of present work are compared and discussed with other rare-earth monopnictides.


Monopnictides Elastic constants Ultrasonic velocity Grüneisen parameters Ultrasonic attenuation 



We are very grateful to the reviewers, the advisors and the editor for their careful and meticulous evaluation to enrich the quality of our manuscript. Authors are also grateful to Mr. Amrit Nath Thulal for scrupulously reading the manuscript.


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Copyright information

© The National Academy of Sciences, India 2018

Authors and Affiliations

  • Devraj Singh
    • 1
    Email author
  • Amit Kumar
    • 2
  • Ram Krishna Thakur
    • 2
  • Raj Kumar
    • 3
  1. 1.Department of Applied PhysicsAmity School of Engineering and TechnologyBijwasan, New DelhiIndia
  2. 2.Amity School of Applied SciencesAmity UniversityManesar, GurgaonIndia
  3. 3.Department of PhysicsGurgaon Institute of Technology and ManagementGurgaonIndia

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