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Molecular Dynamics Simulation of Silicate Glasses

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Dynamics of Glassy, Crystalline and Liquid Ionic Conductors

Part of the book series: Topics in Applied Physics ((TAP,volume 132))

Abstract

Modeling techniques using molecular dynamics simulation can contribute to the design and improvement of materials, and the methods can be used for predicting properties of them and compare with experiments and theory. Recently, potential models based on the ab initio MO calculations or DFT are used in many cases. However, the potential parameters are not necessarily uniquely determined from the ab initio calculation. To understand the quality of the parameter set, its limitation and applicability of it to each problem, it is useful to learn how it is derived and how it is checked. Although recently many methods are developing, here we explain how the parameters for alkali silicates [1], mentioned in Sect. 8.1.2, had been determined.

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References

  1. J. Habasaki, I. Okada, Mol. Sim. 9, 319 (1992)

    Article  CAS  Google Scholar 

  2. S. Tsuneyuki, M. Tsukada, M. Aoki, Y. Matsui, Phys. Rev. Lett. 61, 869 (1988)

    Article  CAS  Google Scholar 

  3. H. Dunning, P.J. Hay, in Gaussian Basis Sets for Molecular Calculations, ed. by H.F. Schaefer. Modern Theoretical Chemistry, vol. 3 (Plenum Press, New York, 1977), p. 1

    Google Scholar 

  4. S. Huzinaga, J. Andzelm, M. Klobukowski, E. Radzio-Andzelm, Y. Sakai, H. Tatewaki, Gaussian Basis Sets for Molecular Calculations, Physical Sciences Data, 16 (Elsevier, 1984)

    Google Scholar 

  5. J. Habasaki, I. Okada, Y. Hiwatari, in Molecular Dynamics Simulations. ed. by F. Yonezawa. Springer Series in Solid-State Sciences, vol. 103 (Springer-Verlag, 1992)

    Google Scholar 

  6. J. Habasaki, I. Okada, Y. Hiwatari, Mol. Simul. 9, 49 (1992)

    Article  CAS  Google Scholar 

  7. H. Hasegawa, K. Adachi, I. Yasui, M. Imaoka, X-ray diffraction study of Li2O-SiO2 glass. Yogyo-Kyokai-Shi 88, 51 (1980) (in Japanese)

    Google Scholar 

  8. V.H. Seemann, Acta Cryst. 9, 251 (1956)

    Article  CAS  Google Scholar 

  9. B.A. Maksimov, Y.A. Kharitonov, V.V. Ilyukhin, N.V. Belov, Sov. Phys. Dokl. 13, 85 (1968)

    Google Scholar 

  10. J. Habasaki, K.L. Ngai, J. Electroceram. 34, 43 (2015)

    Article  CAS  Google Scholar 

  11. J. Habasaki, K.L. Ngai, J. Chem. Phys. 139, 064503 (2013)

    Article  CAS  Google Scholar 

  12. D.K. Swanson, C.T. Prewitt, Am. Mineralogist 68, 581 (1983)

    CAS  Google Scholar 

  13. S. Sasaki, K. Fujino, Y. Takeuchi, R. Sadanaga, Acta Cryst. A36, 904 (1980)

    Article  CAS  Google Scholar 

  14. R.D. Banhatti, A. Heuer, Phys. Chem. Chem. Phys. 3, 5104 (2001)

    Article  CAS  Google Scholar 

  15. J. Horbach, S.K. Das, H. Knoth, K. Binder, in NIC Symposium 2004, Proceedings, NIC Series, vol. 20, 215 (2003)

    Google Scholar 

  16. L.G.V. Gonçalves, J.P. Rino, J. Non-Cryst. Solids 402, 91 (2014)

    Article  Google Scholar 

  17. U. Voigt, H. Lammert, H. Eckert, A. Heuer, Phys. Rev. B 72, 064207

    Google Scholar 

  18. J. Du, R.L. Corrales, Phys. Rev. B 72, 092201 (2005)

    Google Scholar 

  19. B.W.H. van Beest, G.J. Krarner, R.A. van Santen, Phys. Rev. Lett. 64, 1955 (1990)

    Article  Google Scholar 

  20. A. Takada, P. Richert, C.R.A. Catlow, G.D. Price, J. Non-Cryst. Solids 354, 181 (2008)

    Article  CAS  Google Scholar 

  21. P. Tangney, S. Scandolo, J. Chem. Phys. 117, 8898 (2002)

    Article  CAS  Google Scholar 

  22. A. Carré, J. Horbach, S. Ispas, W. Kob, Eur. Phys. Lett. 82, 17001 (2008)

    Google Scholar 

  23. W.H. Zachariasen, J. Am. Chem. Soc. 54, 3841 (1932)

    Article  CAS  Google Scholar 

  24. G.N. Greaves, J. Non-Cryst. Solids 71, 203 (1985)

    Google Scholar 

  25. J. Habasaki, I. Okada, Y. Hiwatari, J. Non-Cryst. Solids 183, 12 (1995)

    Article  CAS  Google Scholar 

  26. J. Habasaki, I. Okada, Y. Hiwatari, J. Non-Cryst. Solids 208, 181 (1996)

    Article  CAS  Google Scholar 

  27. J. Habasaki, K.L. Ngai, Phys. Chem. Chem. Phys. 9, 4673 (2007)

    Article  CAS  Google Scholar 

  28. S. Balasubramanian, K.J. Rao, J. Phys. Chem. 97, 8835 (1993)

    Google Scholar 

  29. S. Balasubramanian, K.J. Rao, J. Non-Cryst. Solids 181, 157 (1997)

    Article  Google Scholar 

  30. J. Habasaki, Y. Hiwatari, Phys. Rev. E 58, 5111 (1998)

    Article  CAS  Google Scholar 

  31. Bruckner, H.-U. Chun, H. Goretzki, Glastechn. Ber. 51, 1 (1978)

    Google Scholar 

  32. R. Dupree, D. Holland, M.G. Mortzuka, J. Non-Cryst. Solids 116, 148 (1990)

    Article  CAS  Google Scholar 

  33. C.M. Schramm, B.H.W.S. de Jong, V.E. Parzialet, J. Am. Chem. Soc. 106, 4397 (1984)

    Article  Google Scholar 

  34. H. Maekawa, T. Maekawa, K. Kawamura, T. Yokokawa, J. Non-Cryst. Solids 127, 53 (1991)

    Article  CAS  Google Scholar 

  35. J. Du, A.N. Cormack, J. Non Cryst. Solids 349, 66 (2004)

    Article  CAS  Google Scholar 

  36. U. Voigt, H. Lammert, H. Eckert, A. Heuer, Phys. Rev. B 72, 064207 (2005)

    Article  Google Scholar 

  37. J. Du, R.L. Corrales, Phys. Rev. B 72, 092201 (2005)

    Article  Google Scholar 

  38. J. Du, L.R. Corrales, J. Chem. Phys. 125, 114702 (2006)

    Article  Google Scholar 

  39. A. Tilocca, J. Chem. Phys. 139, 114501 (2013)

    Article  Google Scholar 

  40. M.E. Brandriss, J.F. Stebbins, Geochim. Cosmochim. Acta 52, 2659 (1988)

    Article  CAS  Google Scholar 

  41. J. Tan, S. Zhao, W. Wang, G. Davies, X. Mo, Mater. Sci. Eng. B 106, 295 (2004)

    Article  Google Scholar 

  42. G.N. Greaves, S. Sen, Adv. Phys. 56, 1 (2007)

    Article  CAS  Google Scholar 

  43. E.D. Lacy, Phys. Chem. Glasses 6, 171 (1965)

    CAS  Google Scholar 

  44. T. Sasaki, M. Kawaguchi, M. Yamane, Y. Suginohara, J. Jpn. Inst. Met. 45, 790 (1981) (in Japanese)

    CAS  Google Scholar 

  45. N. Kitamura, K. Fukumi, H. Mizoguchi, M. Makihara, A. Higuchi, N. Ohno, T. Fukunaga, J. Non Cryst. Solids 274, 244 (2000)

    Article  CAS  Google Scholar 

  46. H. Doweidar, J. Non Cryst. Solids 194, 155 (1996)

    Article  CAS  Google Scholar 

  47. A. Tilocca, N.H. de Leeuw, A.N. Cormack, Phys. Rev. B73, 104209 (2006)

    Article  Google Scholar 

  48. J. Habasaki, K.L. Ngai, J. Chem. Phys. 122, 214725 (2005)

    Article  Google Scholar 

  49. J. Habasaki, I. Okada, Y. Hiwatari, Phys. Rev. E52, 2681 (1995)

    Google Scholar 

  50. J. Habasaki, K.L. Ngai, Y. Hiwatari, Phys. Rev. E66, 021205 (2002)

    Google Scholar 

  51. R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957)

    Article  Google Scholar 

  52. T. Odagaki, M. Lax, Phys. Rev. B 24, 5284 (1981)

    Article  CAS  Google Scholar 

  53. J. Habasaki, I. Okada, Mol. Simul. 9, 319 (1992)

    Article  CAS  Google Scholar 

  54. T.L. Gilbert, J. Chem. Phys. 49, 2640 (1968)

    Article  CAS  Google Scholar 

  55. Y. Ida, Phys. Earth Planet Inter. 13, 97 (1976)

    Article  CAS  Google Scholar 

  56. J. Habasaki, K.L. Ngai, J. Chem. Phys. 122, 214725 (2005). Some difference is obtained for the both right and left ends of the multifractal spectrum of the density profile, which is related to the most dilute part and densest part of it

    Google Scholar 

  57. J. Habasaki, I. Okada, Y. Hiwatari, Phys. Rev. B 55, 6309 (1997)

    Article  CAS  Google Scholar 

  58. W.K. Lee, J.F. Liu, A.S. Nowick, Phys. Rev. Lett. 67, 1559 (1991)

    Article  CAS  Google Scholar 

  59. C. León, A. Rivera, A. Varez, J. Sanz, J. Santamaria, K.L. Ngai, Phys. Rev. Lett. 86, 1279 (2001)

    Article  Google Scholar 

  60. J. Habasaki, K.L. Ngai, J. Non-Cryst. Solids 352, 5170 (2006)

    Article  CAS  Google Scholar 

  61. D.M. Laughman, R.D. Banhatti, K. Funke, Phys. Chem. Chem. Phys. 11, 3158 (2009)

    Article  CAS  Google Scholar 

  62. K.L. Ngai, G.N. Greaves, C.T. Moynihan, Phys. Rev. Lett. 80, 1018 (1998)

    Article  CAS  Google Scholar 

  63. A. Heuer, M. Kunow, M. Vogel, R.D. Banhatti, Phys. Chem. Chem. Phys. 4, 3185 (2002)

    Article  CAS  Google Scholar 

  64. K.L. Ngai, J. Habasaki, Y. Hiwatari, C. León, J. Phys. C Condens. Matter 15, S1607 (2003)

    Article  CAS  Google Scholar 

  65. K.L. Ngai, Phys. Rev. B 48, 13481 (1993)

    Google Scholar 

  66. K.L. Ngai, C. León, Phys. Rev. B 66, 064308 (2002)

    Article  Google Scholar 

  67. J. Habasaki, Y. Hiwatari, I. Okada, Fall MRS (Material Research Society) Meetings, Boston, Proceedings 455, ed. by C.A. Angell, K.L. Ngai, J. Kieffer, T. Egami, G.U. Nienhaus. p. 91 (1996)

    Google Scholar 

  68. R. Ishizaki, H. Mori, Prog. Theor. Phys. 97, 201 (1997)

    Article  Google Scholar 

  69. J. Klafter, M.F. Shlesinger, G. Zumofen, Phys. Today 33 (1996) and references therein

    Google Scholar 

  70. R.A. Montani, C. Balbuena, M.A. Frechero, Solid State Ion. 209–210, 5 (2012)

    Article  Google Scholar 

  71. Widmer-Cooper, P. Harrowell, H. Fynewever, Phys. Rev. Lett. 93, 135701 (2004)

    Google Scholar 

  72. A. Rahman, Phys. Rev. 136, A405 (1964)

    Article  Google Scholar 

  73. J. Habasaki, K.L. Ngai, Y. Hiwatari, J. Chem. Phys. 120, 8195 (2004)

    Article  CAS  Google Scholar 

  74. J. Habasaki, I. Okada, Y. Hiwatari, J. Phys. Soc. Jpn. 67, 2012 (1998)

    Article  CAS  Google Scholar 

  75. J. Habasaki, Y. Hiwatari, J. Non-Cryst. Solids 307–310, 930 (2002)

    Article  Google Scholar 

  76. B. Mandelbrot, Science 156, 636 (1967)

    Article  CAS  Google Scholar 

  77. S. Havlin, D. Ben-Avraham, Adv. Phys. 51, 187 (2002)

    Article  CAS  Google Scholar 

  78. J. Habasaki, K.L. Ngai, J. Chem. Phys. 122, 214725 (2005)

    Article  Google Scholar 

  79. J. Habasaki, K.L. Ngai, Flow Dynamics, IAP Conference Proceedings 832, 199 (2006)

    Google Scholar 

  80. E.W. Montroll, G.H. Weiss, J. Math. Phys. 6, 167 (1965)

    Article  Google Scholar 

  81. J. Klafter, A. Blumen, M.F. Shlesinger, Phys. Rev. A 35, 3081 (1987)

    Article  CAS  Google Scholar 

  82. T. Odagaki, J. Matsui, Y. Hiwatari, Physica A204, 464 (1994)

    Article  Google Scholar 

  83. B. Doliwa, A. Heuer, Phys. Rev. E, 67, 030501(R) (2003)

    Google Scholar 

  84. H. Miyagawa, Y. Hiwatari, Phys. Rev. A44, 8278 (1991)

    Article  Google Scholar 

  85. J. Habasaki, Y. Hiwatari, Phys. Rev. E59, 6962 (1999)

    Google Scholar 

  86. J. Habasaki, Y. Hiwatari, J. Non-Cryst. Solid 307–310, 930 (2002)

    Article  Google Scholar 

  87. J. Habasaki, K.L. Ngai, J. Chem. Phys. 129, 034503 (2008)

    Article  CAS  Google Scholar 

  88. H. Lammert, M. Kunow, A. Heuer, Phys. Rev. Lett. 90, 215901 (2003)

    Article  Google Scholar 

  89. T.F. Soules, R.F. Busbey, J. Chem. Phys. 75, 969 (1981)

    Article  CAS  Google Scholar 

  90. J. Habasaki, A. Ueda, J. Chem. Phys. 134, 084505 (2011)

    Article  Google Scholar 

  91. E.R. Weeks, J.C. Crocker, A.C. Levitt, A. Schofield, D.A. Weitz, Science 287, 28 (2000)

    Article  Google Scholar 

  92. C. Donati, S.C. Glotzer, P.H. Poole, W. Kob, S.J. Plimpton, Phys. Rev. E 60, 3107 (1999)

    Article  CAS  Google Scholar 

  93. K.L. Ngai, Relaxation and Diffusion in Complex Systems (Springer, New York, 2011)

    Book  Google Scholar 

  94. J. Habasaki, Y. Hiwatari, Phys. Rev. E 65, 021604 (2002)

    Article  Google Scholar 

  95. J. Habasaki, Y. Hiwatari, Phys. Rev. B 69, 144207 (2004)

    Article  Google Scholar 

  96. H. Lammert, A. Heuer, Phys. Rev. Lett. 104, 125901 (2010)

    Article  Google Scholar 

  97. B. Doliwa, A. Heuer, Phys. Rev. E 61, 6898 (2000)

    Article  CAS  Google Scholar 

  98. H. Jain, N.L. Peterson, H.L. Downing, J. Non-Cryst. Solids 55, 283 (1983)

    Article  CAS  Google Scholar 

  99. J.E. Kelly III, J.F. Cordaro, M. Tomozawa, J. Non-Cryst. Solids 41, 47 (1980)

    Article  CAS  Google Scholar 

  100. J. Habasaki, AIP Conf. Proc. 1518, 170 (2013)

    Google Scholar 

  101. H. Fujisaka, M. Inoue, Phys. Rev. A 39, 1376 (1989) and references therein

    Google Scholar 

  102. A. Heuer, K. Okun, J. Chem. Phys. 106, 6176 (1997)

    Article  CAS  Google Scholar 

  103. K. Kim, S. Saito, J. Chem. Phys. 138, 12A506 (2013)

    Google Scholar 

  104. M. Kawakami, K. Nagata, K.S. Gato, J. Electrochem. Soc. 125, 395 (1978)

    Article  CAS  Google Scholar 

  105. L.G.V. Gonçalves, J.P. Rino, J. Non-Cryst. Solids 402, 91 (2014)

    Article  Google Scholar 

  106. A. Heuer, J. Phys. Condens. Matter 20, 373101 (2008)

    Article  Google Scholar 

  107. L.L. Burgner, M.C. Weinberg, Phys. Chem. Glasses 42, 184 (2001)

    CAS  Google Scholar 

  108. I. Gutzow, J. Schmelzer, The Vitreous State (Springer, Berlin, 1995)

    Book  Google Scholar 

  109. J.O’M. Bockris, J.A. Kitchener, S. Ignatowicz, J.W. Tomlinson, Trans. Faraday Soc. 48, 75 (1952)

    Google Scholar 

  110. U. Bauer, A.-M. Welsch, H. Behgrens, J. Rahn, H. Schmidt. I. Horn, J. Phys. Chem. B 117, 15184 (2013)

    Google Scholar 

  111. M.L.F. Nascimento, V.M. Fokin, E.D. Zanotto, A.S. Abyzov, J. Chem. Phys. 135, 194703 (2011)

    Article  Google Scholar 

  112. P. Maass, J. Non-Cryst. Solids 255, 35 (1999)

    Article  CAS  Google Scholar 

  113. W. Beier, G.H. Frischat, J. Non-Cryst. Solids 73, 113 (1985)

    Article  CAS  Google Scholar 

  114. W. Beier, G.H. Frischat, Glastech. Ber. 57, 71 (1984)

    CAS  Google Scholar 

  115. R. Küchler, O. Kanert, T. Vereget, H. Jain, J. Non-Cryst. Solids 353, 3940 (2007)

    Article  Google Scholar 

  116. A.M. Glass, K. Nassau, T.J. Negran, J. Appl. Phys. 49(9), 4808 (1978)

    Article  CAS  Google Scholar 

  117. T. Minami, Y. Takuma, M. Tanaka, J. Electrochem. Sci. Technol. 124, 1659 (1977)

    Google Scholar 

  118. D. Derks, Y.L. Wu, A. van Blaaderen, A. Imhof, Soft Matter 5, 1060 (2009)

    Article  CAS  Google Scholar 

  119. B. Munro, M. Schrader, P. Heitjans, Ber. Bunsunges. Phys. Chem. 96, 1718 (1992)

    Article  CAS  Google Scholar 

  120. W. Franke, P. Heitjans, Ber Bunsenges. Phys. Chem. 96, 1674 (1992)

    Article  CAS  Google Scholar 

  121. A.K. Rizos, J. Alifragis, K.L. Ngai, P. Heitjans, J. Chem. Phys. 114, 931 (2001)

    Article  CAS  Google Scholar 

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Habasaki, J., León, C., Ngai, K.L. (2017). Molecular Dynamics Simulation of Silicate Glasses. In: Dynamics of Glassy, Crystalline and Liquid Ionic Conductors. Topics in Applied Physics, vol 132. Springer, Cham. https://doi.org/10.1007/978-3-319-42391-3_9

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