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Structural, elastic and thermodynamic properties of Mo3Si and Mo3Ge

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Abstract

The structural, elastic and thermodynamic properties of the cubic Mo3Si and Mo3Ge intermetallics were investigated using density functional theory within the local density approximation (LDA) and generalized gradient approximation (GGA) methods. The results showed that the structural and elastic properties (i.e., elastic constants, bulk modulus, shear modulus and Young’s modulus) derived by the GGA method were in good agreement with the available experimental and theoretical values. Using the quasi-harmonic Debye model, the variations of the Debye temperature, heat capacity and coefficient of thermal expansion under pressure ranging from 0 to 25 GPa and at temperature ranging from 0 to 1800 K were obtained and analyzed for both compounds.

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References

  1. J.A. Lemberg, R.O. Ritchie, Adv. Mater. 24, 3445 (2012)

    Article  Google Scholar 

  2. E. Passa, G. Shao, P. Tsakiropoulos, Philos. Mag. A 75, 637 (1997)

    Article  ADS  Google Scholar 

  3. S. Hanada, Curr. Opin. Sol. Stat. Mater. Sci. 2, 279 (1997)

    Article  ADS  Google Scholar 

  4. D.A. Pankhurst, Z. Yuan, D. Nguyen-Manh, M.-L. Abel, G. Shao, J.F. Watts, D.G. Pettifor, P. Tsakiropoulos, Phys. Rev. B 71, 075114 (2005)

    Article  ADS  Google Scholar 

  5. A.N. Christensen, J.E. Jorgensen, L. Pintschovius, F. Gompf, W. Reichardt, N. Lehner, Phys. Rev. B 34, 2751 (1986)

    Article  ADS  Google Scholar 

  6. P.G. Biragoni, Ph.D. thesis, The Faculty of Mechanical Engineering, Otto-von-University, 2007

  7. H.M. Tütüncü, S. Baǧci, P. Srivastava, Phys. Rev. B 82, 214510 (2010)

    Article  ADS  Google Scholar 

  8. N. Ma, B.R. Cooper, B.S. Kang, J. Appl. Phys. 99, 053514 (2006)

    Article  ADS  Google Scholar 

  9. A.K. McMahan, J.E. Klepeis, M.V. Schilfgaarde, M. Methfessel, Phys. Rev. B 50, 10742 (1994)

    Article  ADS  Google Scholar 

  10. I. Papadimitriou, C. Utton, A. Scott, P. Tsakiropoulos, Metall. Mater. Trans. A 46, 566 (2015)

    Article  Google Scholar 

  11. I. Papadimitriou, C. Utton, P. Tsakiropoulos, Acta Mater. 86, 23 (2015)

    Article  Google Scholar 

  12. S.J. Clark, M.D. Segall, C.J. Pickard, P.J. Hasnip, M.J. Probert, K. Refson, M.C. Payne, Z. Kristallographie 220, 567 (2005)

    ADS  Google Scholar 

  13. M.D. Segall, P.J.D. Lindan, M.J. Probert, C.J. Pickard, P.J. Hasnip, S.J. Clark, M.C. Payne, J. Phys.: Condens. Matter 14, 2717 (2002)

    ADS  Google Scholar 

  14. D. Vanderbilt, Phys. Rev. B 41, 7892 (1990)

    Article  ADS  Google Scholar 

  15. J.P. Perdew, A. Zunger, Phys. Rev. B 23, 5048 (1981)

    Article  ADS  Google Scholar 

  16. J.P. Perdew, Y. Wang, Phys. Rev. B 45, 13244 (1992)

    Article  ADS  Google Scholar 

  17. J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)

    Article  ADS  Google Scholar 

  18. M. Ernzerhof, G.E. Scuseria, J. Chem. Phys. 110, 5029 (1999)

    Article  ADS  Google Scholar 

  19. T.H. Fischer, J. Almlof, J. Chem. Phys. 96, 9768 (1992)

    Article  Google Scholar 

  20. D.F. Shanno, Math. Comput. 24, 647 (1970)

    Article  MathSciNet  Google Scholar 

  21. P.E. Blöchl, O. Jepsen, O.K. Andersen, Phys. Rev. B 49, 16233 (1994)

    Article  ADS  Google Scholar 

  22. M.A. Blanco, E. Francisco, V. Luaña, Comput. Phys. Commun. 158, 57 (2004)

    Article  ADS  Google Scholar 

  23. P. Rogl, T.L. Bihan, H. Noël, J. Nucl. Mater. 288, 66 (2001)

    Article  ADS  Google Scholar 

  24. R. Flukiger, A. Paoli, J. Muller, Solid State Commun. 14, 443 (1974)

    Article  ADS  Google Scholar 

  25. J.C. Slater, J. Chem. Phys. 41, 3199 (1964)

    Article  ADS  Google Scholar 

  26. F. Birch, J. Geophys. Res.: Solid Earth 83, 1257 (1978)

    Article  Google Scholar 

  27. C. Vahlas, P.Y. Chevalier, E. Blanquet, Calphad 13, 273 (1989)

    Article  Google Scholar 

  28. C.E. Silva, Ph.D. Thesis, University of Florida, 1994

  29. T.G. Chart, High Temp. High Pres. 5, 241 (1973)

    Google Scholar 

  30. Y. Han, Y. Dai, D. Shu, J. Wang, B. Sun, J. Alloys Compd. 438, 327 (2007)

    Article  Google Scholar 

  31. M. Krajci, J. Hafner, J. Phys.: Condens. Matter 14, 1865 (2002)

    ADS  Google Scholar 

  32. W.-C. Hu, Y. Liu, D.-J. Li, X.-Q. Zeng, C.-S. Xu, Physica B 427, 85 (2013)

    Article  ADS  Google Scholar 

  33. Z. Chen, P. Zhang, D. Chen, Y. Wu, M. Wang, N. Ma, H. Wang, J. Appl. Phys. 117, 085904 (2015)

    Article  ADS  Google Scholar 

  34. H. Hou, Z. Wen, Y. Zhao, L. Fu, N. Wang, P. Han, Intermetallics 44, 110 (2014)

    Article  Google Scholar 

  35. G.V. Sin’ko, Phys. Rev. B 77, 104118 (2008)

    Article  ADS  Google Scholar 

  36. W.-J. Ding, J.-X. Yi, P. Chen, D.-L. Li, L.-M. Peng, B.-Y. Tang, Solid State Sci. 14, 555 (2012)

    Article  ADS  Google Scholar 

  37. M. Born, K. Huang, Dynamical Theory of Crystal Lattices (Oxford University Press, Oxford, 1954)

  38. D. Chen, Z. Chen, Y. Wu, M. Wang, N. Ma, H. Wang, Comput. Mater. Sci. 91, 165 (2014)

    Article  Google Scholar 

  39. D. Shi, B. Wen, R. Melnik, S. Yao, T. Li, J. Solid State Chem. 182, 2664 (2009)

    Article  ADS  Google Scholar 

  40. J.F. Nye, Physical Properties of Crystals: Their Representation by Tensors and Matrices (Oxford University Press, New York, 1985)

  41. S. Ganeshan, S.L. Shang, H. Zhang, Y. Wang, M. Mantina, Z.K. Liu, Intermetallics 17, 313 (2009)

    Article  Google Scholar 

  42. D.G. Pettifor, Mater. Sci. Technol. 8, 345 (1992)

    Article  Google Scholar 

  43. B. Fatima, S.S. Chouhan, N. Acharya, S.P. Sanyal, Intermetallics 53, 129 (2014)

    Article  Google Scholar 

  44. R. Hill, Proc. Phys. Soc. London A 65, 349 (1952)

    Article  ADS  Google Scholar 

  45. E. Zhao, J. Wang, J. Meng, Z. Wu, Comput. Mater. Sci. 47, 1064 (2010)

    Article  Google Scholar 

  46. W. Voigt, Lehrbuchde Kristallphysik (Terubner, Leipzig, 1928)

  47. A. Reuss, Z. Angew. Math. Mech. 9, 49 (1929)

    Article  Google Scholar 

  48. A.D. McNaught, A. Wilkinson, IUPAC. Compendium of Chemical Terminology, 2nd edn. (the “Gold Book”) (Blackwell Scientific Publications, Oxford, 1997)

  49. S.D. Poisson, Traité de Mécanique 2, 476 (1811)

    Google Scholar 

  50. G.N. Greaves, A.L. Greer, R.S. Lakes, T. Rouxel, Nat. Mater. 10, 823 (2011)

    Article  ADS  Google Scholar 

  51. J. Xu, Z.Y. Li, X. Lu, Y. Yan, P. Munroe, Z.-H. Xie, J. Alloys Compd. 611, 179 (2014)

    Article  Google Scholar 

  52. W.-C. Hu, Y. Liu, D.-J. Li, X.-Q. Zeng, C.-S. Xu, Comput. Mater. Sci. 83, 27 (2014)

    Article  Google Scholar 

  53. H. Fu, D. Li, F. Peng, T. Gao, X. Cheng, Comput. Mater. Sci. 44, 774 (2008)

    Article  Google Scholar 

  54. S.F. Pugh, Philos. Mag. 45, 823 (1954)

    Article  Google Scholar 

  55. Y. Liu, W.-C. Hu, D.-J. Li, X.-Q. Zeng, C.-S. Xu, X.-J. Yang, Physica B, 432 33 (2014)

    Article  ADS  Google Scholar 

  56. X. Tao, Y. Liu, R. Wang, Y. Ouyang, Y. Du, Y. He, Intermetallics 24, 15 (2012)

    Article  Google Scholar 

  57. C. Kittel, Introduction to Solid State Physics, 7th edn. (Wiley, New York, 1996)

  58. M. Gurvitch, A.K. Ghosh, B.L. Gyorffy, H. Lutz, O.F. Kammerer, J.S. Rosner, M. Strongin, Phys. Rev. Lett. 41, 1616 (1978)

    Article  ADS  Google Scholar 

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Correspondence to Mingliang Wang.

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Zhong, SY., Chen, Z., Wang, M. et al. Structural, elastic and thermodynamic properties of Mo3Si and Mo3Ge. Eur. Phys. J. B 89, 6 (2016). https://doi.org/10.1140/epjb/e2015-60383-y

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