Acta Metallurgica Sinica (English Letters) ›› 2015, Vol. 28 ›› Issue (5): 550-558.DOI: 10.1007/s40195-015-0231-y
• Orginal Article • Previous Articles Next Articles
Ratnavelu Rajeswarapalanichamy1(
), Manoharan Santhosh1, Ganesapandian Sudhapriyanga1, Shanmugam Kanagaprabha2, Kombaih Iyakutti3
Received:2014-07-10
Revised:2014-09-24
Online:2015-02-14
Published:2015-07-23
Ratnavelu Rajeswarapalanichamy, Manoharan Santhosh, Ganesapandian Sudhapriyanga, Shanmugam Kanagaprabha, Kombaih Iyakutti. Structural Stability, Electronic Structure and Mechanical Properties of Li-N-H System[J]. Acta Metallurgica Sinica (English Letters), 2015, 28(5): 550-558.
| Space group | a | c | V0 | ρ | Ecoh | B0 | B ′ 0 |
|---|---|---|---|---|---|---|---|
| (P6/mmm) | 3.641, 3.600a, 3.6413b, 3.534c, 3.508d, 3.648e | 3.846, 3.840a, 3.823b, 3.772c, 3.745d, 3.875e | 45.08 | 0.1774 | 8.838084 | 69.17, 63.90a, 58.90c, 61.00d | 3.815, 4.000d, 3.800c, 3.700d |
| (P63/mmc) | 3.485, 3.558b, 3.445c, 3.418d, 3.552e | 6.228, 6.250b, 6.148c, 6.100d, 6.310e | 67.30 | 0.1188 | 6.756029 | 86.5, 98.0a, 74.5c, 78.2d | 3.421, 4.040a, 3.420c, 3.770d |
Table 1 Calculated lattice parameters a, b and c (Å), equilibrium volume V0 (Å3), valence electron density ρ (electrons/Å3), cohesive energy Ecoh (eV), bulk modulus B0 (GPa) and its derivative B ′ 0 for Li3N with P6/mmm and P63/mmc space groups
| Space group | a | c | V0 | ρ | Ecoh | B0 | B ′ 0 |
|---|---|---|---|---|---|---|---|
| (P6/mmm) | 3.641, 3.600a, 3.6413b, 3.534c, 3.508d, 3.648e | 3.846, 3.840a, 3.823b, 3.772c, 3.745d, 3.875e | 45.08 | 0.1774 | 8.838084 | 69.17, 63.90a, 58.90c, 61.00d | 3.815, 4.000d, 3.800c, 3.700d |
| (P63/mmc) | 3.485, 3.558b, 3.445c, 3.418d, 3.552e | 6.228, 6.250b, 6.148c, 6.100d, 6.310e | 67.30 | 0.1188 | 6.756029 | 86.5, 98.0a, 74.5c, 78.2d | 3.421, 4.040a, 3.420c, 3.770d |
| Materials | Space group | a | b | c | V0 | ρ | Ecoh | B0 | B ′ 0 |
|---|---|---|---|---|---|---|---|---|---|
| Li2NH | F43m | 5.649, 5.077a | 48.02 | 0.1665 | 0.7622 | 93.01 | 3.581 | ||
| Pnma | 7.704, 7.733b | 3.75 | 5.074, 3.60b, 4.872b | 42.36 | 0.1888 | 3.4819534 | 68.15 | 3.116 | |
| P63/mmc | 3.657 | 5.884 | 34.11 | 0.2345 | 7.6534 | 211 | 3.032 | ||
| Fm3m | 5.045, 5.047c | 32.10 | 0.2492 | 6.8820 | 96.59 | 3.714 | |||
| P-1 | 4.15, 3.57d | 3.57 | 6.6045, 3.58d, 6.426d | 36.42 | 0.2196 | 6.7269 | 78.4 | 3.441 | |
| Ima2 | 7.191, 7.118e | 10.071 | 7.0503, 10.072e, 7.088e | 44.84? | 0.1784 | 2.27679 | 91.2 | 3.160 | |
| pbca | 5.12, 5.12f | 10.51 | 5.267, 10.51f, 5.27f | 32.79 | 0.2439 | 3.3918 | 59.12 | 3.947 | |
| Pm3m | 3.945 | 61.40 | 0.1302 | 2.4819 | 112.3 | 3.017 | |||
| LiNH2 | I-4 | 5.0316, 5.032g, 5.017h | 5.097i | 10.069, 10.256g, 10363h, 10.113i | 112.74 | 0.0709 | 12.0859 | 77.92 | 3.569 |
Table 2 Calculated lattice parameters a, b and c (Å), equilibrium volume V0 (Å3), valence electron density ρ (electrons/Å3), cohesive energy Ecoh (eV), bulk modulus B0 (GPa) and its derivative B ′ 0 for lithium imide (Li2NH) and litium amide (LiNH2)
| Materials | Space group | a | b | c | V0 | ρ | Ecoh | B0 | B ′ 0 |
|---|---|---|---|---|---|---|---|---|---|
| Li2NH | F43m | 5.649, 5.077a | 48.02 | 0.1665 | 0.7622 | 93.01 | 3.581 | ||
| Pnma | 7.704, 7.733b | 3.75 | 5.074, 3.60b, 4.872b | 42.36 | 0.1888 | 3.4819534 | 68.15 | 3.116 | |
| P63/mmc | 3.657 | 5.884 | 34.11 | 0.2345 | 7.6534 | 211 | 3.032 | ||
| Fm3m | 5.045, 5.047c | 32.10 | 0.2492 | 6.8820 | 96.59 | 3.714 | |||
| P-1 | 4.15, 3.57d | 3.57 | 6.6045, 3.58d, 6.426d | 36.42 | 0.2196 | 6.7269 | 78.4 | 3.441 | |
| Ima2 | 7.191, 7.118e | 10.071 | 7.0503, 10.072e, 7.088e | 44.84? | 0.1784 | 2.27679 | 91.2 | 3.160 | |
| pbca | 5.12, 5.12f | 10.51 | 5.267, 10.51f, 5.27f | 32.79 | 0.2439 | 3.3918 | 59.12 | 3.947 | |
| Pm3m | 3.945 | 61.40 | 0.1302 | 2.4819 | 112.3 | 3.017 | |||
| LiNH2 | I-4 | 5.0316, 5.032g, 5.017h | 5.097i | 10.069, 10.256g, 10363h, 10.113i | 112.74 | 0.0709 | 12.0859 | 77.92 | 3.569 |
| Space group | P | C11 | C12 | C44 | C13 | C33 | B | G | E | ν | B/G |
|---|---|---|---|---|---|---|---|---|---|---|---|
| P6/mmm | 0 | 177, 165.7a, 114b, 122.8c | 28.95, 22.7a, 38b, 24.6c | 16.27, 18.1a, 17.0b, 16.6c | 10.01, 8.3a, 4.5b, 5.4c | 216, 180a, 118b, 129.5c | 74.14 | 63.7 | 162.08 | 0.1868 | 1.163 |
| 17.5 | 224 | 32 | 18.9 | 11.6 | 225 | 86.98 | 73.89 | 172.75 | 0.1899 | 1.177 | |
| P63/mmc | 20 | 237 | 39 | 46.76 | 19.01 | 268 | 99.54 | 89.64 | 206.83 | 0.1737 | 1.110 |
| 50 | 332 | 51 | 59 | 21.6 | 365 | 135.26 | 115.3 | 269.36 | 0.1890 | 1.173 |
Table 3 Calculated elastic constants C ij (GPa), Vogit-Reuss-Hill bulk modulus B (GPa), shear modulus G (GPa) and Young’s modulus E (GPa), Poission’s ratio ν and B/G ratio for Li3N with P6/mmm and P63/mmc space groups under different pressure P (GPa)
| Space group | P | C11 | C12 | C44 | C13 | C33 | B | G | E | ν | B/G |
|---|---|---|---|---|---|---|---|---|---|---|---|
| P6/mmm | 0 | 177, 165.7a, 114b, 122.8c | 28.95, 22.7a, 38b, 24.6c | 16.27, 18.1a, 17.0b, 16.6c | 10.01, 8.3a, 4.5b, 5.4c | 216, 180a, 118b, 129.5c | 74.14 | 63.7 | 162.08 | 0.1868 | 1.163 |
| 17.5 | 224 | 32 | 18.9 | 11.6 | 225 | 86.98 | 73.89 | 172.75 | 0.1899 | 1.177 | |
| P63/mmc | 20 | 237 | 39 | 46.76 | 19.01 | 268 | 99.54 | 89.64 | 206.83 | 0.1737 | 1.110 |
| 50 | 332 | 51 | 59 | 21.6 | 365 | 135.26 | 115.3 | 269.36 | 0.1890 | 1.173 |
| Materials | P | C11 | C12 | C44 | C13 | C33 | C66 | B | G | E | ν | B/G |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Fm3m Li2NH | 0 | 179 | 62 | 90 | 101 | 75.73 | 181.7 | 0.2222 | 1.33 | |||
| 13 | 239 | 69 | 116 | 126 | 102.41 | 241.74 | 0.2017 | 1.230 | ||||
| 62 | 320 | 111 | 120 | 181 | 113.54 | 281.72 | 0.2633 | 1.594 | ||||
| 102 | 484 | 142 | 149 | 256 | 157.44 | 391.97 | 0.2675 | 1.626 | ||||
| P63/mmc Li2NH | 106 | 545 | 81.2 | 214 | 136 | 763 | 279.2 | 234.19 | 549.06 | 0.1933 | 1.192 | |
| 244 | 761 | 218 | 264 | 210 | 976 | 417.0 | 278.99 | 684.35 | 0.2492 | 1.494 | ||
| I-4 LiNH2 | 0 | 118.2 | 101 | 18.38 | 44.82 | 41.86 | 42.34 | 79.29 | 29.14 | 77.87 | 0.3557 | 2.721 |
Table 4 Calculated elastic constants Cij (GPa), Vogit-Reuss-Hill bulk modulus B (GPa), shear modulus G (GPa), Young’s modulus E (GPa), Poission’s ratio ν and B/G ratio for Li2NH and LiNH2 under different pressure P (GPa)
| Materials | P | C11 | C12 | C44 | C13 | C33 | C66 | B | G | E | ν | B/G |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Fm3m Li2NH | 0 | 179 | 62 | 90 | 101 | 75.73 | 181.7 | 0.2222 | 1.33 | |||
| 13 | 239 | 69 | 116 | 126 | 102.41 | 241.74 | 0.2017 | 1.230 | ||||
| 62 | 320 | 111 | 120 | 181 | 113.54 | 281.72 | 0.2633 | 1.594 | ||||
| 102 | 484 | 142 | 149 | 256 | 157.44 | 391.97 | 0.2675 | 1.626 | ||||
| P63/mmc Li2NH | 106 | 545 | 81.2 | 214 | 136 | 763 | 279.2 | 234.19 | 549.06 | 0.1933 | 1.192 | |
| 244 | 761 | 218 | 264 | 210 | 976 | 417.0 | 278.99 | 684.35 | 0.2492 | 1.494 | ||
| I-4 LiNH2 | 0 | 118.2 | 101 | 18.38 | 44.82 | 41.86 | 42.34 | 79.29 | 29.14 | 77.87 | 0.3557 | 2.721 |
| 1. | A. Rabenau,Adv. Solid State Phys. 18, 77(1978) |
| 2. | P. Chen, Z. Ziong, J. Luo, J. Lin, K. Lee,Tan. Nature (London) 420, 302(2002) |
| 3. | T. Ichikawa, S. Isobe, N. Hanada, H. Fujii,J. Alloys Compd. 365, 271(2004) |
| 4. | Y.H. Hu, E. Ruckenstein,Ind. Eng. Chem. Res. 44, 1510(2005) |
| 5. | Y. Nakamori, G. Kitahara, K. Miwa, S. Towata, S. Orima,Appl. Phys. A 80, 1(2005) |
| 6. | Y. Xie, Y. Qian, W. Wang, S. Zhang, Y. Zhang,Science 272, 1926 (1996) |
| 7. | Y. Yan, J.Y. Zhang, T. Cui, Y. Li, Y.M. Ma, G.T. Zou,Eur. Phys. J. B 61, 397(2008) |
| 8. | A. Rabenau, H. Schulz,J. Less Common Met. 50, 155(1976) |
| 9. | W. Kress, H. Grimm, W. Press, J. Lefebvre, Phys. Rev. B 22, 4620 (1980) |
| 10. | H.R. Chandrasekhar, G. Bhattacharya, R. Migoni, H. Bilz,Phys. Rev B 30, 972(1984) |
| 11. | J. Sarnthein, K. Schwarz, P.E. Blochl,Phys. Rev. B 53, 9084(1996) |
| 12. | R. Dovesi, C. Pisani, F. Ricca, C. Roetti, V.R. Saunders,Phys. Rev. B 30, 972(1984) |
| 13. | M. Mali, J. Roos, D. Brinkmann,Phys. Rev. B 36, 3888(1987) |
| 14. | A.C. Ho, M.K. Granger, A.L. Ruoff, P.E. Van Camp, V.E. Van Doren,Phys. Rev. B 59, 6083(1999) |
| 15. | A. Lazicki, B. Maddox, W.J. Evans, C.S. Yoo, A.K. McMahan, W.E. Pickett, P. Chow,Phys. Rev. Lett. 95, 165503(2005) |
| 16. | A. Hossain, A.K.M.S. Islam, F.N. Islam,J. Sci. Res. 1, 182(2009) |
| 17. | P. Chen, Z. Xiang, J. Luo, J. Lin, K.L. Tan,J. Phys. Chem. B 107, 10967(2003) |
| 18. | K. Ohoyama, Y. Nakamori, S. Orimo, K. Yamada,J. Phys. Soc. Jpn. 74, 483(2005) |
| 19. | B. Magyari-Kope, V. Ozolins, C. Wolveron,Phys. Rev. B 73, 220101(2006) |
| 20. | T. Noritake, H. Nozaki, M. Aoki, S. Towata, G. Hitahara, Y. Nakamori, S. Orimo,J. Alloys Compd. 393, 264(2005) |
| 21. | T. Mueller, G. Ceder,Phys. Rev. B 74, 134104(2006) |
| 22. | T. Tsumuraya, T. Shishidou, T. Oguchi,J. Alloys Compd. 446, 323(2007) |
| 23. | C. Wolverton, D.J. Siegel, A.R. Akbarzadeh, V. Ozolins,J. Phys. Condens. Matter 20, 064228(2008) |
| 24. | J.C. Crivello, M. Gupta, R. Ceny, M. Latroche, D. Chandra,Phys. Rev. B 81, 104113(2010) |
| 25. | K. Miwa, N. Ohba, S.I. Towata,Phys. Rev. B 71, 195109(2005) |
| 26. | J.F. Herbst, L.G. Hector Jr.,Phys. Rev. B 72, 125120(2005) |
| 27. | G.L. Lin, G.Y. Zhang, H. Zhang, S.L. Zhu,Chin. Phy. B 20, 038801(2011) |
| 28. | J. Perdew, J.A. Chevary, S.H. Vosko, K.A. Jacjson, M.R. Pederson, D.J. Singh, C. Filolhais,Phys. Rev. B 46, 6671(1992) |
| 29. | G. Kresse, D. Joubert,Phys. Rev. B 59, 1758(1999) |
| 30. | G. Kresse, J. Hafner,Phys. Rev. B 47, 558(1993) |
| 31. | G. Kresse, J. Furthmuller,Comput. Mater. Sci. 6, 15(1996) |
| 32. | P.E. Blochl,Phys. Rev. B 50, 17953(1994) |
| 33. | J.P. Perdew, K. Burke, M. Ernzerhof,Phys. Rev. Lett. 78, 1396(1997) |
| 34. | H.J. Monkhorst, J.D. Pack,Phys. Rev. B 13, 5188(1976) |
| 35. | F. Birch,Phys. Rev. 71, 809(1947) |
| 36. | H.J. Beister,Chem. Int. Ed. Engl. 27, 1101(1998) |
| 37. | W. Luo,J. Alloys Compd. 385, 316(2004) |
| 38. | M. Sorby, Y. Nakamura, H.W. Brinks, T. Ichikawa, S. Hino, H. Fujii, B.C. Hauback,J. Alloys Compd. 428, 297(2007) |
| 39. | J.F. Nye, Physical Properties of Crystals (Oxford University Press, Oxford, 1957) |
| 40. | S.Q. Wu, Z.F. Hou, Z.Z. Zhu,Solid State Commun. 143, 425(2007) |
| 41. | M. Kalay, H.H. Kart, T. Çagin,J. Alloys Compd. 484, 431(2009) |
| 42. | W. Voigt, Lehrbuch der Kristallphysik: Terubner-Leipzig (Macmillan, New York, 1928) |
| 43. | A. Reuss, Z. Angew,Math. Mech. 9, 49(1929) |
| 44. | R. Hill,Proc. Phys. Soc. Lond. A 65, 349(1952) |
| 45. | M. Born, K. Huang, Dynamical Theory of Crystal Lattices (Clarendon Press, Oxford, 1956) |
| 46. | S.J. Clark, M.D. Segal, C.J. Pickard, P.J. Hasnip, M.J. Probert, K. Refson, M.C. Payne, Z. Kristall. 220, 567(2005) |
| 47. | L. Schlapbach, A. Zuttel,Nature 414(6861), 353(2001) |
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