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The Elastic Constants and Anisotropy of Superconducting MgCNi3 and CdCNi3 Under Different Pressure

  • Huifang Feng
  • Xiaozhi WuEmail author
  • Liyong Gan
  • Rui Wang
  • Qunyi Wei
Original Paper

Abstract

The second-order elastic constants (SOECs) and third-order elastic constants (TOECs) of MgCNi3 and CdCNi3 are presented by using first-principles methods combined with homogeneous deformation theory. The Voigt–Reuss–Hill (VRH) approximation are used to calculate the bulk modulus B, shear modulus G, averaged Young’s modulus E and Poisson’s ratio ν for polycrystals and these effective modulus are consistent with the experiments. The SOECs under different pressure of MgCNi3 and CdCNi3 are also obtained based on the TOECs. Furthermore, the Zener anisotropy factor, Chung–Buessem anisotropy index, and the universal anisotropy index are used to describe the anisotropy of MgCNi3 and CdCNi3. The anisotropy of Young’s modulus of single-crystal under different pressure is also presented.

Keywords

MgCNi3 CdCNi3 Elastic constants Elastic anisotropy Pressure 

Notes

Acknowledgements

The work is supported by the Natural Science Foundation of China (11104361) and Project No. CQDXWL2012015 supported by the Fundamental Research Funds for the Central Universities

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Huifang Feng
    • 1
  • Xiaozhi Wu
    • 1
    • 3
    Email author
  • Liyong Gan
    • 2
  • Rui Wang
    • 1
  • Qunyi Wei
    • 3
  1. 1.College of Physics and Institute for Structure and FunctionChongqing UniversityChongqingP.R. China
  2. 2.Physical Sciences and Engineering DivisionKAUSTThuwalKingdom of Saudi Arabia
  3. 3.College of Materials Science and EngineeringChongqing UniversityChongqingP.R. China

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