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

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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.

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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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Authors and Affiliations

  1. College of Physics and Institute for Structure and Function, Chongqing University, 401331, Chongqing, P.R. China

    Huifang Feng, Xiaozhi Wu & Rui Wang

  2. Physical Sciences and Engineering Division, KAUST, 23955-6900, Thuwal, Kingdom of Saudi Arabia

    Liyong Gan

  3. College of Materials Science and Engineering, Chongqing University, 400044, Chongqing, P.R. China

    Xiaozhi Wu & Qunyi Wei

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  1. Huifang Feng
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  2. Xiaozhi Wu
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Correspondence to Xiaozhi Wu.

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Feng, H., Wu, X., Gan, L. et al. The Elastic Constants and Anisotropy of Superconducting MgCNi3 and CdCNi3 Under Different Pressure. J Supercond Nov Magn 27, 1187–1194 (2014). https://doi.org/10.1007/s10948-013-2441-8

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  • DOI: https://doi.org/10.1007/s10948-013-2441-8

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