Necessary and sufficient elastic stability conditions in various crystal systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 90, Issue 22, 2014, Pages

  Mouhat, Félix ^a   Coudert, François Xavier ^a  

^a PSL RESEARCH UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84916210748     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.90.224104     Document Type: Article

References (26)

1. M. Born, Math. Proc. Cambridge Philos. Soc. 36, 160 (1940). MPCPCO 0305-0041 10.1017/S0305004100017138
2. M. Born and K. Huang, Dynamics Theory of Crystal Lattices (Oxford University Press, Oxford, UK, 1954).
3. J. F. Nye, Physical Properties of Crystals (Oxford University Press, Oxford, UK, 1957).
4. F. I. Fedorov, Theory of Elastic Waves in Crystals (Springer, Berlin, 1968).
5. D. C. Wallace, Thermodynamics of Crystals (Wiley, New York, 1972).
6. Z.-J. Wu, E.-J. Zhao, H.-P. Xiang, X.-F. Hao, X.-J. Liu, and J. Meng, Phys. Rev. B 76, 054115 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.76.054115
7. X. F. Li and Z. L. Liu, J. At. Mol. Sci. 3, 78 (2011). 2075-1303 10.4208/jams.040911.050711a
8. C.-Y. Niu and J.-T. Wang, Phys. Lett. A 378, 2303 (2014). PYLAAG 0375-9601 10.1016/j.physleta.2014.05.045
9. Y.-Y. Fu, Y.-W. Li, and H.-M. Huang, Chin. Phys. Lett. 31, 116201 (2014). CPLEEU 0256-307X 10.1088/0256-307X/31/11/116201
10. P. Canepa, K. Tan, Y. Du, H. Lu, Y. J. Chabal, and T. Thonhauser, arXiv:1409.7124.
11. S. K. R. Patil, S. V. Khare, B. R. Tuttle, J. K. Bording, and S. Kodambaka, Phys. Rev. B 73, 104118 (2006). PRBMDO 1098-0121 10.1103/PhysRevB.73.104118
12. Z. Wu, X. Hao, X. Liu, and J. Meng, Phys. Rev. B 75, 054115 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.75.054115
13. C. Jiang, S. G. Srinivasan, A. Caro, and S. A. Maloy, J. Appl. Phys. 103, 043502 (2008). JAPIAU 0021-8979 10.1063/1.2884529
14. P. Vajeeston, P. Ravindran, B. Hauback, and H. Fjellvåg, Int. J. Hydrogen Energy 36, 10149 (2011). IJHEDX 0360-3199 10.1016/j.ijhydene.2011.05.038
15. P. Vajeeston, P. Ravindran, and H. Fjellvåg, RSC Adv. 2, 11687 (2012). 2046-2069 10.1039/c2ra21807k
16. J. Feng, APL Mater. 2, 081801 (2014). 2166-532X 10.1063/1.4885256
17. C. Fan, Y. Jin, J. Li, and X. Dong, Sci. Rep. 4, 6993 (2014). 2045-2322 10.1038/srep06993
18. E. Calderon, M. Gauthier, F. Decremps, G. Hamel, G. Syfosse, and A. Polian, J. Phys.: Condens. Matter 19, 436228 (2007). JCOMEL 0953-8984 10.1088/0953-8984/19/43/436228
19. G. Grimvall, B. Magyari-Köpe, V. Ozoliņš, and K. A. Persson, Rev. Mod. Phys. 84, 945 (2012). RMPHAT 0034-6861 10.1103/RevModPhys.84.945
20. R. Wang, W. Yang, C. Hu, and D.-H. Ding, J. Phys.: Condens. Matter 9, 2411 (1997). JCOMEL 0953-8984 10.1088/0953-8984/9/11/009
21. J. Wang, R. Zhang, D. H. Ding, and R. Wang, Acta Crystallogr., Sect. A: Found. Crystallogr. 55, 558 (1999). ACACEQ 0108-7673 10.1107/S010876739801126X
22. R. Hill and F. Milstein, Phys. Rev. B 15, 3087 (1977). 0556-2805 10.1103/PhysRevB.15.3087
23. F. Milstein, R. Hill, and K. Huang, Phys. Rev. B 21, 4282 (1980). PRBMDO 0163-1829 10.1103/PhysRevB.21.4282
24. Wolfram Research, Inc., Mathematica, Version 10.0.1, Champaign, IL (2014).
25. T. H. K. Barron and M. L. Klein, Proc. Phys. Soc. 85, 523 (1965). PPSOAU 0370-1328 10.1088/0370-1328/85/3/313
26. R. Hill, Math. Proc. Camb. Philos. Soc. 77, 225 (1975). MPCPCO 0305-0041 10.1017/S0305004100049549