Skip to main content
SpringerLink
Log in

Elastic and Ultrasonic Properties of Rare-earth Lutetium Monopnictides

  • Research Article
  • Published:
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Krivoy EM (2013) Rare–earth monopnictide alloys for tunable, epitaxial metal, Ph.D. Dissertation, The University of Texas, Austin. http://hdl.handle.net/2152/21336. https://repositories.lib.utexas.edu/handle/2152/21336. Accessed on 13 Feb 2017

  2. Zeng M, Fang C, Chang G, Chen Y, Hsieh T, Bansil A, Lin H, Fu L (2015) Topological semimetals and topological insulators in rare earth monopnictides. https://arxiv.org/pdf/1504.03492.pdf. Accessed on 13 Feb 2017

  3. Petit L, Tyer R, Szotek Z, Temmerman WM, Svane A (2010) Rare earth monopnictides and monochalcogenides from first principles: towards an electronic phase diagram of strongly correlated materials. New J Phys 12:113041

    Article  Google Scholar 

  4. Jha PK, Sanyal SP, Singh RK (2002) The lattice dynamical studies of rare-earth compounds: electron–phonon interaction. Proc Indian Natl Sci Acad Sect A Phys Sci 68:57–72

    Google Scholar 

  5. Neupane M, Hosen MM, Belopolski I et al (2016) Observation of Dirac-like semi-metallic phase in NdSb. J Phys Condens Matter 28:23LT02

    Article  Google Scholar 

  6. Lou R, Fu B-B, Xu QN et al (2017) Evidence of topological insulator state in the semimetal LaBi. Phys Rev B 95:115140

    Article  ADS  Google Scholar 

  7. Zeng L-K, Lou R, Wu D-S et al (2016) Compensated semimetal LaSb with unsaturated magnetoresistance. Phys Rev Lett 117:127204

    Article  ADS  Google Scholar 

  8. Jha PK, Sanyal SP (1998) Pressure-volume relation and pressure induced structural phase transformation in ytterbium pnictides. Phys Stat Sol b 205:465–471

    Article  ADS  Google Scholar 

  9. Jha PK, Sanyal SP (1995) Lattice vibrations in Yb-pnictide compounds. Phys Rev B 52:15898–15902

    Article  ADS  Google Scholar 

  10. Nayak J, Wu S-C, Kumar N et al (2017) Multiple Dirac cones at the surface of the topological metal LaBi. Nature Commun 8:13942. https://doi.org/10.1038/ncomms13942

    Article  ADS  Google Scholar 

  11. Gupta SD, Gupta SK, Jha PK (2010) First-principles lattice dynamical study of lanthanum nitride under pseudopotential approximation. Comput Mat Sci 49:910–915

    Article  Google Scholar 

  12. Roondhe B, Upadhyay D, Som N, Pillai SB, Shinde S, Jha PK (2017) Structural, electronic and dynamical properties of curium monopnictides: density functional theory. J Electron Mater 46:1842–1848

    Article  ADS  Google Scholar 

  13. Jha PK, Sanyal SP (2003) High pressure behavior of NpSe and NpTe. J Phys Chem Solids 64:127–131

    Article  ADS  Google Scholar 

  14. Jha PK, Sanyal SP (1993) Lattice vibrations in intermediate valence compounds. Indian J Pure Appl Phys 31:469–473

    Google Scholar 

  15. Rukmangad A, Aynyas M, Sanyal SP (2009) Structural and elastic properties of rare-earth nitrides at high pressure. Indian J Pure Appl Phys 47:114–118

    Google Scholar 

  16. Srivastava V, Bandyopadhyay AK, Prafulla JK, Sanyal SP (2003) High pressure phase transition and elastic properties of cerium chalcogenides and pnictides. J Phys Chem Solids 64:907–912

    Article  ADS  Google Scholar 

  17. Mir SH, Jha PC, Islam MS, Banerjee A, Luo W, Dabhi SD, Jha PK, Ahuja R (2016) Static and dynamical properties of heavy actinide monopnictides of lutetium. Sci Rep 6:29309

    Article  ADS  Google Scholar 

  18. Gupta DC, Bhat IH (2013) Electronic, ductile, phase transition and mechanical properties of Lu-monopnictides under high pressures. J Mol Model 19:5343–5354

    Article  Google Scholar 

  19. Sahoo BD, Mukherjee D, Joshi KD, Kaushik TC, Gupta SC (2016) Pressure induced phase transition and thermo-physical properties in LuX (X = N, P). Mater Res Express 3:046502

    Article  ADS  Google Scholar 

  20. Pagare G, Chouhan SS, Soni P, Sanyal SP, Rajagopalan M (2010) First principles study of structural, electronic and elastic properties of lutetium monopnictides. Comput Mater Sci 50:538–544

    Article  Google Scholar 

  21. Shirotani I, Yamanashi K, Hayashi J, Ishimatsu N, Shimomura O, Kikegawa T (2003) Pressure-induced phase transitions of lanthanide monoarsenides LaAs and LuAs with a NaCl-type structure. Solid State Commun 127:573–576

    Article  ADS  Google Scholar 

  22. Tosi MP (1964) Cohesion of ionic solids in the Born model. In: Seitz F, Turnbull D (eds) Solid state physics, vol 16. Academic, New York, pp 1–120

    Google Scholar 

  23. Singh D, Mishra G, Kumar R, Yadav RR (2017) Temperature dependence of elastic and ultrasonic properties of sodium borohydride. Commun Phys 27:151–164

    Article  Google Scholar 

  24. Langueur H, Kassali K (2017) Density functional study of the carbon dependence of the structural, mechanic, thermodynamic, and dynamic properties of SiC Alloys. Int J Thermophys 38:41

    Article  ADS  Google Scholar 

  25. Newnham RE (2005) Properties of materials: anisotropy, symmetry, structure. Oxford University Press, New York

    Google Scholar 

  26. Mattesini M, Magnuson M, Tasnádi F, Höglund C, Abrikosov Igor A, Hultman L (2009) Elastic properties and electrostructural correlations in ternary scandium-based cubic inverse perovskites: a first-principles study. Phys Rev B 79:125122

    Article  ADS  Google Scholar 

  27. Anderson OL (1963) A simplified method for calculating the debye temperature from elastic constants. J Phys Chem Solids 24:909–917

    Article  ADS  Google Scholar 

  28. Bhalla V, Singh D, Mishra G, Wan M (2016) Mechanical and thermophysical properties of europium monochalcogenides. J Pure Appl Ultrason 38:23–27

    Google Scholar 

  29. Morelli DT, Slack GA (2006) High thermal conductivity materials. Springer, New York

    Google Scholar 

  30. Bhalla V, Singh D (2016) Anisotropic assessment of ultrasonic wave velocity and thermal conductivity of ErX (X: N, As). Indian J Pure Appl Phys 54:40–45

    Google Scholar 

  31. Akhieser A (1939) On the absorption of sound in solids. J Phys (USSR) 1:277–287

    Google Scholar 

  32. Tripathy C, Singh D, Paikaray R (2018) Behaviour of elastic and ultrasonic properties of curium monopnictides. Can J Phys 96:513–518

    Article  ADS  Google Scholar 

  33. Singh D, Kaushik S, Pandey SK, Mishra G, Bhalla V (2016) Mechanical and thermophysical properties of neptunium monopnictides. VNU J Sci Math Phys 32:43–53

    Google Scholar 

  34. Bhalla V, Singh D, Jain SK (2016) Mechanical and thermophysical properties of cerium monopnictides. Int J Thermophys 37:33

    Article  ADS  Google Scholar 

  35. Murtaza G, Gupta SK, Seddik T et al (2014) Structural, electronic, optical and thermodynamic properties of cubic REGa3 (RE = Sc or Lu) compounds: ab initio study. J Alloys Compd 597:36–44

    Article  Google Scholar 

  36. Haines J, Leger JM, Bocquillon G (2001) Synthesis and design of superhard materials. Annu Rev Mater Res 31:1–23

    Article  ADS  Google Scholar 

  37. Gray DE (1957) American Institute of physics handbook. McGraw-Hill Book Company Inc., New York

    Book  Google Scholar 

  38. Singh D, Pandey DK, Yadawa PK (2009) Ultrasonic wave propagation in rare-earth monochalcogenides. Cent Eur J Phys 7:198–205

    Google Scholar 

Download references

Acknowledgements

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.

Author information

Authors and Affiliations

  1. Department of Applied Physics, Amity School of Engineering and Technology, Bijwasan, New Delhi, 110061, India

    Devraj Singh

  2. Amity School of Applied Sciences, Amity University, Manesar, Gurgaon, 122413, India

    Amit Kumar & Ram Krishna Thakur

  3. Department of Physics, Gurgaon Institute of Technology and Management, Bilaspur-Tauru Road, Gurgaon, 122413, India

    Raj Kumar

Authors
  1. Devraj Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Amit Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ram Krishna Thakur
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Raj Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Devraj Singh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Singh, D., Kumar, A., Thakur, R.K. et al. Elastic and Ultrasonic Properties of Rare-earth Lutetium Monopnictides. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 90, 177–183 (2020). https://doi.org/10.1007/s40010-018-0529-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40010-018-0529-z

Keywords

Search

Navigation