Abstract
A detailed study of the structural, electronic, and vibrational properties of crystalline octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine (HMX) under hydrostatic pressure of 0–100 GPa was performed with density functional theory (DFT). The results show that the compressibility of HMX crystal is anisotropic. With the increasing pressure, the lattice constants and cell volumes calculated by local density approximation (LDA) gradually approach these by the PW91 functional of generalized gradient approximation (GGA). The band gap reduction is more pronounced in the low-pressure range compared to the high-pressure region. The band gaps calculated by LDA and GGA pseudopotential plane-wave reproduce the trend of pressure-induced variation of band gap by all electron calculations. The calculated pressure-induced frequency shifts indicate that the pressure produces a more significant influence on the ring deformation and stretching vibrations than on other modes. The vibrational modes associated with the motions of the CH2 and NO2 side groups are quite sensitive to pressure. The mixing between different vibrational modes becomes stronger under compression. Our results also show that DFT can well describe the intermolecular interactions in HMX under high pressure.
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References
Cooper PW, Kurowski SR (1996) Introduction to the technology of explosives. Wiley, New York
Akhaven J (1998) The chemistry of explosives. Royal Society of Chemistry, Cambridge, UK
Yoo C-S, Cynn H (1999) J Chem Phys 111:10229
Sorescu DC, Rice BM, Thompson DL (1999) J Phys Chem B 103:6783
Bedrov D, Smith GD, Sewell TD (2000) J Chem Phys 112:7203
Lewis JP, Sewell TD, Evans RB, Voth GA (2000) J Phys Chem B 104:1009
Brand HV, Rabie RL, Funk DJ, Diaz-Acosta I, Pulay P, Lippert TK (2002) J Phys Chem B 106:10594
Henson BF, Smilowitz L, Asay BW, Dickson PM (2002) J Chem Phys 117:3780
Smilowitz L, Henson BF, Asay BW, Dickson PM (2002) J Chem Phys 117:3789
Manaa MR, Fried LE, Melius CF, Elstner M, Frauenheim Th (2002) J Phys Chem A 106:9024
Lewis JP (2003) Chem Phys Lett 371:588
Hare DE, Forbes JW, Reisman DB, Dick JJ (2004) Appl Phys Lett 85:949
Stevens LL, Eckhardt CJ (2005) J Chem Phys 122:174701
Gump JC, Peiris SM (2005) J Appl Phys 97:053513
Hooks DE, Hayes DB, Hare DE, Reisman DB, Vandersall KS, Forbesa JW, Hall CA (2006) J Appl Phys 99:124901
Ye S, Koshi M (2006) J Phys Chem B 110:18515
Zerilli FJ, Kuklja MM (2006) J Phys Chem A 110:5173
Byrd EFC, Rice BM (2007) J Phys Chem C 111:2787
Zhu WH, Xiao JJ, Ji GF, Zhao F, Xiao HM (2007) J Phys Chem B 111:12715
Lian D, Lu L-Y, Wei D-Q, Zhang Q-M, Gong Z-Z, Guo Y-X (2008) Chin Phys Lett 25:899
Conroy MW, Oleynik II, Zybin SV, White CT (2008) J Appl Phys 104:053506
Dlott DD, Fayer MD (1990) J Chem Phys 92:3798
Tokmanoff A, Fayer MD, Dlott DD (1993) J Phys Chem 97:1901
Tarver CM (1997) J Phys Chem A 101:4845
Olinger BW, Roof B, Cady HH (1978) In: Symposium on high dynamic pressures. Commissariat al’ Energie Atomique, Saclay, France, pp 3–8
Reisman DB, Forbes JW, Tarver CM, Garcia F, Hayes DB, Furnish MD, Dick JJ (2002) In: Proceedings of the 12th international detonation symposium. Office of Naval Research, Arlington, VA
Dick JJ, Hooks DE, Menikoff R, Martinez AR (2004) J Appl Phys 96:374
Baer MR, Hall CA, Gustavsen RL, Hooks DE, Sheffield SA (2007) J Appl Phys 101:034906
Reed EJ, Joannopoulos JD, Fried LE (2000) Phys Rev B 62:16500
Byrd EFC, Scuseria GE, Chabalowski CF (2004) J Phys Chem B 108:13100
Liu H, Zhao J, Wei D, Gong Z (2006) J Chem Phys 124:124501
Brand HV (2006) J Phys Chem B 110:10651
Xu X-J, Zhu W-H, Xiao H-M (2007) J Phys Chem B 111:2090
Zhu WH, Xiao HM (2007) J Solid State Chem 180:3521
Zerilli FJ, Hooper JP, Kuklja MM (2007) J Chem Phys 124:114701
Zerilli FJ, Kuklja MM (2007) J Phys Chem A 111:1721
Miao MS, Dreger ZA, Winey JM, Gupta YM (2008) J Phys Chem A 112:12228
Zhu WH, Zhang XW, Zhu W, Xiao HM (2008) Phys Chem Chem Phys 10:7318
Liu H, Zhao J (2008) Comput Mater Sci 42:698
Liu H, Zhao J, Du J, Gong Z, Ji G, Wei D (2007) Phys Lett A 367:383
Vanderbilt D (1990) Phys Rev B 41:7892
Payne MC, Teter MP, Allan DC, Arias TA, Joannopoulos JD (1992) Rev Mod Phys 64:1045
Kresse G, Furthmüller J (1996) Phys Rev B 54:11169
Fischer TH, Almlof J (1992) J Phys Chem 96:9768
Ceperley DM, Alder BJ (1980) Phys Rev Lett 45:566
Perdew JP, Zunger A (1981) Phys Rev B 23:5048
Choi CS, Boutin HP (1970) Acta Crystallogr Sect B 26:1235
Gonze X (1997) Phys Rev B 55:10337
Perdew JP, Chevary JA, Vosko SH, Jackson KA, Pederson MR, Singh DJ, Fiolhais C (1992) Phys Rev B 46:6671
Murnaghan FD (1951) In: Finite deformation of an elastic solid. Dover Publications, New York, p 73
Hummer K, Puschnig P, Ambrosch-Draxl C (2003) Phys Rev B 67:184105
Meyer R, Köhler J, Homburg A (2002) Explosives. Wiley-VCH Verlag GmbH, Weinheim
Kuklja MM, Kunz AB (1999) J Appl Phys 86:4428
Younk EH, Kunz AB (1997) Int J Quantum Chem 63:615
Delley B (1990) J Chem Phys 92:508
Delley B (2000) J Chem Phys 113:7756
Perdew JP, Wang Y (1992) Phys Rev B 45:13244
Gilman JJ (1995) Philos Mag B 71:1957
Xiao H-M, Li Y-F (1995) Sci China B 38:538
Xiao H-M, Li Y-F (1996) Banding and electronic structures of metal azides. Science Press, Beijing, p 88 (in Chinese)
Zhu WH, Xiao HM (2008) J Comput Chem 29:176
Zhu WH, Zhang XW, Wei T, Xiao HM (2008) Chin J Chem 26:2145
Zhu WH, Zhang XW, Wei T, Xiao HM (2009) J Mol Struct: Theochem 900:84
Gilman JJ (1979) J Appl Phys 50:4059
Gilman JJ (1998) Philos Mag Lett 77:79
Gilman JJ (1993) Philos Mag B 67:207
Gilman JJ (1994) Mech Mater 17:83
Kuklja MM, Stefanovich EV, Kunz AB (2000) J Chem Phys 112:3417
Luty T, Ordon P, Eckhardt CJ (2002) J Chem Phys 117:1775
Kuklja MM, Kunz AB (2000) J Appl Phys 87:2215
Botcher TR, Landouceur HD, Russel TR (1998) In: Schmidt SC, Dandekar DP, Forbes JW (eds) Shock compression of condensed matter—1997, Proceedings of the APS Topical Group. AIP, Woodbury, New York
Lewis JP, Glaesemann KR, VanOpdorp K, Voth GA (2000) J Phys Chem A 104:11384
Kirin D, Volovsek V (1997) J Chem Phys 106:9505
Acknowledgments
This work was partly supported by the NSAF Foundation of National Natural Science Foundation of China and China Academy of Engineering Physics (10876013), the Research Fund for the Doctoral Program of Higher Education, and the Project-sponsored by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.
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Zhu, W., Zhang, X., Wei, T. et al. DFT studies of pressure effects on structural and vibrational properties of crystalline octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine. Theor Chem Acc 124, 179–186 (2009). https://doi.org/10.1007/s00214-009-0596-y
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DOI: https://doi.org/10.1007/s00214-009-0596-y