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Charge separation in water molecule clusters under thermal fluctuations: 2. Ionization-recombination equilibrium

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Abstract

The dependence of the mean force potential of interaction between H3O+ and OH ions in water molecule clusters is calculated by the Monte Carlo method in a grand canonical statistical ensemble at temperature of 273 K within a broad range of vapor pressures corresponding to natural atmospheric conditions. A high (up to 200k BT) barrier, which resulted in the retardation of recombination in clusters, as well as the accumulation of nonrecombined ion pairs, is revealed based on the dependence of the mean force potential on the interionic distance. Using parameters calculated by the Monte Carlo method, we solved the kinetic equation for the stationary regime of the production and recombination of ion pairs and evaluated the relative concentration of ion pairs and relaxation time, which are consistent with experimental values and explain the enhanced sensitivity of electric properties of water vapors to the sources of ionizing radiation observed in experiments.

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References

  1. Carlon, H.R., J. Atmos. Sci., 1979, vol. 36, p. 832.

    Article  CAS  Google Scholar 

  2. Carlon, H.R., J. Appl. Phys., 1980, vol. 51, p. 171.

    Article  Google Scholar 

  3. Carlon, H.R. and Harden, C.S., Appl. Opt., 1980, vol. 19, p. 1776.

    CAS  Google Scholar 

  4. Carlon, H.R., J. Appl. Phys., 1981, vol. 52, p. 3111.

    Article  CAS  Google Scholar 

  5. Carlon, H.R., Appl. Opt., 1981, vol. 20, p. 1316.

    Article  CAS  Google Scholar 

  6. Carlon, H.R., J. Appl. Phys., 1981, vol. 54, p. 2638.

    Article  Google Scholar 

  7. Carlon, H.R., J. Chem. Phys., 1982, vol. 76, p. 5523.

    Article  CAS  Google Scholar 

  8. Carlon, H.R., J. Chem. Phys., 1983, vol. 78, p. 1622.

    Article  CAS  Google Scholar 

  9. Viisanen, Y., Strey, R., and Reiss, H., J. Chem. Phys., 1993, vol. 99, p. 4680.

    Article  CAS  Google Scholar 

  10. Shevkunov, S.V., Dokl. Akad. Nauk, 1998, vol. 363, p. 215.

    CAS  Google Scholar 

  11. Shevkunov, S.V., Elektrokhimiya, 1998, vol. 34, p. 860.

    Google Scholar 

  12. Shevkunov, S.V., Khim. Vys. Energ., 1999, vol. 33, p. 325.

    Google Scholar 

  13. Shevkunov, S.V. and Vegiri, A., J. Chem. Phys., 1999, vol. 111, p. 9303.

    Article  CAS  Google Scholar 

  14. Shevkunov, S.V. and Vegiri, A., Mol. Phys., 2000, vol. 98, p. 149.

    Article  CAS  Google Scholar 

  15. Shevkunov, S.V., Kolloidn. Zh., 2000, vol. 62, p. 569.

    Google Scholar 

  16. Shevkunov, S.V., Kolloidn. Zh., 2002, vol. 64, p. 262.

    Google Scholar 

  17. Shevkunov, S.V., Zh. Fiz. Khim., 2002, vol. 76, p. 583.

    CAS  Google Scholar 

  18. Shevkunov, S.V., Zh. Obshch. Khim., 2002, vol. 72, p. 735.

    Google Scholar 

  19. Lukyanov, S.I., Zidi, Z.S., and Shevkunov, S.V., J. Mol. Struct.(THEOCHEM), 2003, vol. 623, p. 221.

    Article  CAS  Google Scholar 

  20. Shevkunov, S.V., Zh. Obshch. Khim., 2004, vol. 74, p. 1585.

    Google Scholar 

  21. Shevkunov, S.V., Zh. Fiz. Khim., 2004, vol. 78, p. 1808.

    CAS  Google Scholar 

  22. Shevkunov, S.V., Lukyanov, S.I., and Millot, Cl., Chem. Phys., 2005, vol. 310, p. 97.

    Article  CAS  Google Scholar 

  23. Lukyanov, S.I., Zidi, Z.S., and Shevkunov, S.V., Chem. Phys., 2007, vol. 332, p. 188.

    Article  CAS  Google Scholar 

  24. Shevkunov, S.V., Zh. Eksp. Teor. Fiz., 2001, vol. 119, p. 485.

    Google Scholar 

  25. Shevkunov, S.V., Elektrokhimiya, 2002, vol. 38, p. 340.

    Google Scholar 

  26. Shevkunov, S.V., Pis’ma Zh. Eksp. Teor. Fiz., 2002, vol. 76, p. 828.

    Google Scholar 

  27. Shevkunov, S.V., Kolloidn. Zh., 2004, vol. 66, p. 263.

    Google Scholar 

  28. Shevkunov, S.V., Kolloidn. Zh., 2004, vol. 66, p. 554.

    Google Scholar 

  29. Shevkunov, S.V., Kolloidn. Zh., 2004, vol. 66, p. 566.

    Google Scholar 

  30. Shevkunov, S.V., Khim. Vys. Energ., 2005, vol. 39, p. 405.

    Google Scholar 

  31. Shevkunov, S.V., Zh. Vychisl. Mat. Mat. Fiz., 2005, vol. 45, p. 2283.

    Google Scholar 

  32. Guissani, Y., Guillot, B., and Bratos, S., J. Chem. Phys., 1988, vol. 88, p. 5850.

    Article  CAS  Google Scholar 

  33. Zhu, Sh.-B. and Robinson, G.W., J. Chem. Phys., 1992, vol. 97, p. 4336.

    Article  CAS  Google Scholar 

  34. Guardia, E., Robinson, A., and Padro, J.A., J. Chem. Phys., 1993, vol. 99, p. 4229.

    Article  CAS  Google Scholar 

  35. Marti, J. and Csajka, F.S., J. Chem. Phys., 2000, vol. 113, p. 1154.

    Article  CAS  Google Scholar 

  36. Simonson, J.M., J. Chem. Phys., 2000, vol. 113, p. 8093.

    Article  Google Scholar 

  37. Kovalenko, A. and Hirata, F., J. Chem. Phys., 2000, vol. 112, pp. 10391, 10403.

  38. Alexander, Yu.Z. and Svishchev, I.M., J. Chem. Phys., 2001, vol. 115, p. 1448.

    Article  CAS  Google Scholar 

  39. Chowdhuri, S. and Chandra, A., J. Chem. Phys., 2001, vol. 115, p. 3732.

    Article  CAS  Google Scholar 

  40. Jorge, S., Lomba, E., and Abascal, F., J. Chem. Phys., 2002, vol. 117, p. 3763.

    Article  CAS  Google Scholar 

  41. Liu, W., Wood, R.H., and Doren, D.J., J. Chem. Phys., 2003, vol. 118, p. 2837.

    Article  CAS  Google Scholar 

  42. Jimenez-Angeles, F., Messina, R., Holm, Ch., and Lozada-Cassou, M., J. Chem. Phys., 2003, vol. 119, p. 4842.

    Article  CAS  Google Scholar 

  43. Chialvo, A.A. and Simonson, J.M., J. Chem. Phys., 2003, vol. 118, p. 7921.

    Article  CAS  Google Scholar 

  44. Dzubiella, J. and Hansen, J.-P., J. Chem. Phys., 2003, vol. 119, p. 12049.

    Article  CAS  Google Scholar 

  45. Paschek, D., J. Chem. Phys., 2004, vol. 120, p. 6674.

    Article  CAS  Google Scholar 

  46. Botti, A., Bruni, F., Imberti, S., and Ricci, M.A., J. Chem. Phys., 2004, vol. 120, p. 10154.

    Article  CAS  Google Scholar 

  47. Fedotova, M.V. and Trostin, V.N., Zh. Fiz. Khim., 1999, vol. 73, p. 1025.

    CAS  Google Scholar 

  48. Oparin, R.D., Fedotova, M.V., and Trostin, V.N., Zh. Fiz. Khim., 2001, vol. 75, p. 873.

    CAS  Google Scholar 

  49. Oparin, R.D., Fedotova, M.V., and Trostin, V.N., Izv. Akad. Nauk, Ser. Khim., 2001, no. 6, p. 897.

  50. Fedotova, M.V., Oparin, R.D., and Trostin, V.N., Zh. Strukt. Khim., 2002, vol. 43, p. 511.

    Google Scholar 

  51. Fedotova, M.V., Gribkov, A.A., and Trostin, V.N., Zh. Fiz. Khim., 2004, vol. 78, p. 1053.

    CAS  Google Scholar 

  52. Shevkunov, S.V. and Bauman, E.G., Mat. Model., 2000, vol. 12, p. 45.

    Google Scholar 

  53. Shevkunov, S.V. and Bauman, E.G., Khim. Fiz., 2001, vol. 20, p. 17.

    Google Scholar 

  54. Boyarchuk, K.A., Kononov, E.N., and Lyakhov, G.A., Pis’ma Zh. Tekh. Fiz., 1993, vol. 19, p. 67.

    Google Scholar 

  55. Elokhin, A.P. and Kononov, E.N., At. Energ., 1996, vol. 80, p. 129.

    CAS  Google Scholar 

  56. Didenko, A.N., Usov, Yu.P., Yushkov, Yu.G., et al., At. Energ., 1996, vol. 80, p. 47.

    Article  CAS  Google Scholar 

  57. Stakhanov, I.P., O fizicheskoi prirode sharovoi molnii (On the Physical Nature of Ball Lightning), Moscow: Energoatomizdat, 1985.

    Google Scholar 

  58. Grigoryan, S.S., Dokl. Akad. Nauk, 2002, vol. 385, p. 750.

    Google Scholar 

  59. Alanakyan, Yu.A., Dokl. Akad. Nauk, 2002, vol. 385, p. 747.

    Google Scholar 

  60. Egorov, A.I., Stepanov, S.I., and Shabanov, G.D., Usp. Fiz. Nauk, 2004, vol. 174, p. 107.

    Google Scholar 

  61. Kunin, V.N., Pleshivtsev, V.S., and Furov, L.V., Teplofiz. Vys. Temp., 1997, vol. 35, p. 866.

    Google Scholar 

  62. Sinkevich, O.A., Teplofiz. Vys. Temp., 1997, vol. 35, p. 968.

    Google Scholar 

  63. Smirnov, B.M., Problema sharovoi molnii (The Problem of Ball Lightning), Moscow: Nauka, 1988.

    Google Scholar 

  64. Farman, J.C., Gardiner, B.G., and Shanklin, J.D., Nature (London), 1985, vol. 315, p. 207.

    Article  CAS  Google Scholar 

  65. Solomon, S.M., Garcia, R.R., Rowland, F.S., and Wuebbles, D.J., Nature (London), 1986, vol. 321, p. 755.

    Article  CAS  Google Scholar 

  66. Molina, M.J., Tso, T.L., Molina, L.T., and Wang, F.C.Y., Science (Washington, D. C.), 1987, vol. 238, p. 1253.

    Article  CAS  Google Scholar 

  67. Clary, D.C., Science (Washington, D. C.), 1996, vol. 271, p. 509.

    Article  Google Scholar 

  68. Leu, M.-T., Keyser, L.F., and Timonen, R.S., J. Phys. Chem., B, 1997, vol. 101, p. 6259.

    Article  CAS  Google Scholar 

  69. Bluhm, H. and Salmeron, M., J. Chem. Phys., 1999, vol. 111, p. 6947.

    Article  CAS  Google Scholar 

  70. Fluckiger, B., Chaix, L., and Rossi, M.J., J. Phys. Chem., 2000, vol. 104, p. 11739.

    CAS  Google Scholar 

  71. Petrenko, V.F., J. Phys. Chem., B, 1997, vol. 101, p. 6285.

    Article  CAS  Google Scholar 

  72. Foster, K.L., Tolbert, M.A., and George, S.M., J. Phys. Chem., A, 1997, vol. 101, p. 4979.

    Article  CAS  Google Scholar 

  73. Donsing, A. and Vickerman, J.C., J. Chem. Soc., Faraday Trans., 1997, vol. 93, p. 2755.

    Article  Google Scholar 

  74. Delzeit, L., Powell, K., Uras, N., and Devlin, J.P., J. Phys. Chem., B, 1997, vol. 101, p. 2327.

    Article  CAS  Google Scholar 

  75. Brown, A.R. and Doren, D.J., J. Phys. Chem., B, 1997, vol. 101, p. 6308.

    Article  CAS  Google Scholar 

  76. Takei, I. and Maeno, N., J. Phys. Chem., B, 1997, vol. 101, p. 6234.

    Article  CAS  Google Scholar 

  77. Doeppenschmidt, A., Kappl, M., and Butt, H.J., J. Phys. Chem., B, 1998, vol. 102, p. 7813.

    Article  CAS  Google Scholar 

  78. Miranda, P.B., Xu, L., Shen, Y.R., and Salmeron, M., Phys. Rev. Lett., 1998, vol. 81, p. 5876.

    Article  CAS  Google Scholar 

  79. Re, S., Osamura, Yo., and Suzuki, Y., J. Chem. Phys., 1998, vol. 109, p. 973.

    Article  CAS  Google Scholar 

  80. Lee, Ch. and Sosa, C., J. Chem. Phys., 1996, vol. 104, p. 7081.

    Article  CAS  Google Scholar 

  81. Kittel, C., Thermal Physics, New York: Wiley, 1969.

    Google Scholar 

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Correspondence to S. V. Shevkunov.

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Original Russian Text © S.V. Shevkunov, 2008, published in Kolloidnyi Zhurnal, 2008, Vol. 70, No. 5, pp. 694–708.

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Shevkunov, S.V. Charge separation in water molecule clusters under thermal fluctuations: 2. Ionization-recombination equilibrium. Colloid J 70, 646–660 (2008). https://doi.org/10.1134/S1061933X08050153

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