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Models in Theory of Molecular Liquid Mixtures: Structure, Dynamics, and Physicochemical Properties

  • V. A. Durov
Chapter
Part of the NATO Science Series book series (NAII, volume 133)

Abstract

Models of structure and properties of liquid mixtures have been outlined. Main attention is given to the extended quasichemical approach for modeling supramolecular ordering in mixtures, selforganized by H-bonds and unified description of their physicochemical properties. Models of polyvariable supramolecular species as regard to structure and composition, taking in account the cooperativity on H-bonding, as well as the methods for describing their structure, composition, electric (dipole moment), and optic (polarisability) properties are developed. Interrelations between thermodynamic functions (Gibbs energy, enthalpy, entropy), dielectric (permittivity), and optic (refractive index and its fluctuation derivatives, determining Rayleigh light scattering) properties of mixtures, and microscopic characteristics of aggregates are analyzed. The methods for obtaining both the integral and differential parameters of aggregation are developed, applicable for structural study of the long range molecular correlations, including supramolecular aggregates of nanosizes. Models of the media with internal parameters of different nature and tensor dimension have been outlined. Backgrounds for their application to study dynamic processes of the supramolecular reorganization, intramolecular transitions, and energy transfer, as well as fluctuation and relaxation phenomena are considered. Fluctuation and relaxation contributions of internal parameters to both equilibrium and kinetic properties and Rayleigh ratio of mixtures were established. The applications to individual liquids and mixtures are illustrated. New data on the structure of aggregates and thermodynamics of their formation were obtained. Supramolecular assemblies in liquids with the long range molecular correlations were revealed. Macroscopic manifestations of the supramolecular organization in physicochemical properties of liquids are discussed.

Key words

Liquids Mixtures H-Bonds Aggregates Extended Quasichemical Models Thermodynamics Permittivity Fluctuations Rayleigh Light Scattering Internal Variables Molecular Thermal Motion Kinetic Phenomena Supramolecular Organisation Long Range Molecular Correlations 

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References

  1. 1.
    Hobza, P. and Zagradnik, R (1989) Intermolecular Complexes, Academia, Prague.Google Scholar
  2. 2.
    Kondepudi, D. and Prigogine, I. (1999) Modern Thermodynamics. Wiley, New York.Google Scholar
  3. 3.
    Haken, H. (1978) Synergetics. An Introduction to Nonequilibrium Phase Transitions and Sellf-Organisation in Physics, Chemistry and Biology, Springer, Berlin.Google Scholar
  4. 4.
    Haken, H. (1988) Information and Self-organisation, Springer, Berlin.Google Scholar
  5. 5.
    Lehn, J.-M. (1995) Supramolecular Chemistry, VCH, Weinheim.CrossRefGoogle Scholar
  6. 6.
    Durov, V.A. (1989) Models of Associative Interactions in Physical Chemistry of Liquid Non-Electrolytes, in G.A. Krestov (ed.), Solutions of Non-Electrolyte in Liquids (monograph in Russian), pp. 36–102, Science, Moscow.Google Scholar
  7. 7.
    Durov, V.A. (1993) Quasichemical Models of Liquid Non-Electrolytes, Zh. Fiz. Khim. 67, 290–304 (Russ. J. Phys. Chem. (1993) 67, 264–278).Google Scholar
  8. 8.
    Durov, V.A. (1998) Modeling of Supramolecular Ordering in Molecular Liquids: Structure, Physicochemical Properties, and Macroscopic Manifestations, J. Mol. Liq. 78 5182.CrossRefGoogle Scholar
  9. 9.
    Durov, V.A. (2000) Molecular Modelling of Thermodynamic and Related Properties of Mixtures, J. Therm. Anal. Cal. 62, 15–27.CrossRefGoogle Scholar
  10. 10.
    Durov, V.A. (2002) Models of Liquid Mixtures: Supramolecular Organisation and Physicochemical Properties, in A.M. Kutepov (ed.), Concentrated and Saturated Mixtures (monograph in Russian), pp. 170–254, Science. Moscow.Google Scholar
  11. 11.
    Durov, V.A. (2003) Modeling of Supramolecular Ordering in Mixtures: Structure, Dynamics and Properties, J. Mol. Liq. 103–104, 41–82.CrossRefGoogle Scholar
  12. 12.
    Durov, V.A. (2003) Models of Liquid Mixtures: Structure, Dynamics, and Properties, Pure and Applied Chem., accepted.Google Scholar
  13. 13.
    Durov, V.A. (2003) Thermodynamic Models of the System with Internal Variables: Fluctuation and Relaxation Phenomena, J. Mol. Liq., accepted.Google Scholar
  14. 14.
    Croxton, C.A. (1974) Liquid State Physics, Cambridge University Press, Cambridge.Google Scholar
  15. 15.
    Chapman, W.G., Gubbins, K.E., Toslin, C.G., and Gray, C.G. (1987) Mixtures of Polar and Associating Molecules, Pure and Appl. Chem. 59, 53–60.CrossRefGoogle Scholar
  16. 16.
    Allen, M.P. and Tildesley, D.J. (1987) Computer Simulation of Liquids. Clarendon Press, Oxford.zbMATHGoogle Scholar
  17. 17.
    Economou, G. and Donohue, M.D. (1991) Chemical, Quasi-Chemical and Perturbation Theories for Associating Fluids, AICHEJ 37, 1875–1894.CrossRefGoogle Scholar
  18. 18.
    Chapman, W.G., Gubbins, K.E., Jackson, J., and Radosz, M. (1989) SAFT: Equation-of-State Solution Model for Associating Fluids, Fluid Phase Equil. 52, 31–38.CrossRefGoogle Scholar
  19. 19.
    Adidharma, H. and Radosz, M. (1999) A Study of Square-well Statistical Associating Fluid Theory Approximations, Fluid Phase Equil. 161, 1–20CrossRefGoogle Scholar
  20. 20.
    Guggenheim, E.A. (1952) Mixtures, Clarendon Press. London.Google Scholar
  21. 21.
    Barker, J.A. (1963) Lattice Theories ofLiquid State, Pergamon Press, Oxford.Google Scholar
  22. 22.
    Panayiotou, C. and Sanchez, I.C. (1991) Hydrogen Bonding in Fluids: An Equation of State Approach, J Phys. Chem. 95, 90–97.CrossRefGoogle Scholar
  23. 23.
    Prigogine, I. and Defay, P. (1954) Chemical Thermodynamics, Longmans Green, London.Google Scholar
  24. 24.
    De-Groot, S.R. and Mazur, P. (1962) Non-Equilibrium Thermodynamics, North Holland, Amsterdam.Google Scholar
  25. 25.
    Gyarmati, I. (1970) Non-Equilibrium Thermodynamics. Field Theory and Variational Principles, Springer, Berlin.CrossRefGoogle Scholar
  26. 26.
    Keizer, J. (1987) Statistical Thermodynamics of Irreversible Processes, Springer, New York.CrossRefGoogle Scholar
  27. 27.
    Mikhailov, I.G., Soloviev, V.A., and Syurnikov Yu.P. (1964) The Foundations of Molecular Acoustics (monograph in Russian), Science, Moscow.Google Scholar
  28. 28.
    Bauer, U. (1965) Phenomenological Theory of Relaxation Phenomena in Gases, in W.P. Mason (ed.), Physical acoustics, Academic Press, New York, 2, Part A, pp. 61–154.Google Scholar
  29. 29.
    Litovitz, T. and Davis, T. (1965) Structural and shear relaxation in liquids, in W.P. Mason (ed.), Physical acoustics, Academic Press, New York, 2, Part A, pp. 298–370.Google Scholar
  30. 30.
    Eigen, M. and De-Meyer, L. (1974) Theoretical Backgrounds of Relaxation Spectroscopy, in G. Hammes (ed.), Investigation of Rates and Mechanisms of Fast Reactions, pp. 79–129, Wiley, New York.Google Scholar
  31. 31.
    Wyn-Jones, E. (ed.), (1975) Chemical and Biological Applications of Relaxation Spectrometry, Reidel, Dordrecht.Google Scholar
  32. 32.
    Gettins, E. and Wyn-Jones, E. (eds.), (1979) Techniques and Applications of Fast Reactions in Solutions, Reidel, Dodrecht.Google Scholar
  33. 33.
    Mountain, R.D. (1966) Spectral Distribution of Scattered Light in a Simple Liquid, Rev. Mod. Phys. 58, 204–214.Google Scholar
  34. 34.
    Leontovich, M. (1941) Relaxation in liquids and scattering of light, J. Physics (USSR) 4, 499–514.MathSciNetzbMATHGoogle Scholar
  35. 35.
    Kluitenberg, G.A. (1962) Thermodynamical Theory of Elasticity and Plasticity, Physica 28, 217–232; A Note on the Thermodynamics of Maxwell Bodies, Kelvin Bodies (Voigt Bodies), and Fluids, 28, 561–568.MathSciNetADSCrossRefGoogle Scholar
  36. 36.
    Rytov, S.M. (1970) Relaxation theory of Rayleigh light scattering, Zh. Exper. and Theor. Phys. 58, 2155–2170.Google Scholar
  37. 37.
    Volterra, V. (1969) Theory of light scattering from shear waves in liquids, Phys. Rev. 180, 156–166.ADSCrossRefGoogle Scholar
  38. 38.
    Wang, C.H. (1980) Depolarised Rayleigh-Brillouin scattering of shear waves and molecular reorientation in a viscoelastic liquid, Mol. Phys. 41, 541–565.ADSCrossRefGoogle Scholar
  39. 39.
    Landau, L.D. and Lifshitz, E.M. (1976) Statistical Physics, 3rd ed., Part 1, Chapters XII, XIV, Pergamon Press, New York.Google Scholar
  40. 40.
    Stanley, E.U. (1971) Introduction to Phase Transition and Critical Phenomena, Clarendon Press, Oxford.Google Scholar
  41. 41.
    Shang-keng Ma, (1976) Modern Theory of Critical Phenomena, Benjamin, London.Google Scholar
  42. 42.
    Toledano, J-Cl. and Toledano, P. (1987) The Landau Theory of Phase Transitions, World Scientific, Singapore.Google Scholar
  43. 43.
    Landau, L.D. and Lifshitz, E.M. (1987) Theory of Elasticity (monograph in Russian), 4th ed., Science, Moscow.Google Scholar
  44. 44.
    Leontovich, M.A. (1983) Introduction to Thermodynamics. Statistical Physics (monograph in Russian), Science, Moscow.Google Scholar
  45. 45.
    Durov, V.A. and Ageev, E.P. (2003) Thermodynamic Theory of Solutions (monograph in Russian), 2nd ed., Chapters 4,7, URSS Editorial, Moscow.Google Scholar
  46. 46.
    Acree, W.E. (1984) Thermodynamic Properties of Nonelectrolyte Solutions. Academic Press, Orlando.Google Scholar
  47. 47.
    March, K. and Kohler, F. (1985) Thermodynamic Properties of Associated Solutions. J. Mol. Liq., 30, 13–55.CrossRefGoogle Scholar
  48. 48.
    Prausnitz, J.M., Lichtenthaler, R.N., and de Azevedo, R.N. Molecular Thermodynamics of Fluid-Phase Equilibria, 2nd ed., Prentice-Hall, Englewood Cliffs, New York.Google Scholar
  49. 49.
    Schuster, P., Zundel, G., and Sandorfy, S. (eds.) (1976) The Hydrogen Bond: Recent Development in Theory and Experiment, 1–3, North Holland, Amsterdam.Google Scholar
  50. 50.
    Durov, V.A. (1989) Contributions from Electrostatic Intermolecular Interactions to Thermodynamic Properties of Liquid Non-Electrolytes, I. One-component Liquids, Zh. Fiz. Khim. 63, 1750–1758;Google Scholar
  51. 50a.
    Durov, V.A. (1989) Contributions from Electrostatic Intermolecular Interactions to Thermodynamic Properties of Liquid Non-Electrolytes, II. Solutions, Zh. Fiz. Khim. 63, 1759–1766;Google Scholar
  52. 50b.
    Durov, V.A. (1989) Contributions from Electrostatic Intermolecular Interactions to Thermodynamic Properties of Liquid Non-Electrolytes, III. Thermodynamics of Associative Equilibria, Zh. Fiz. Khim. 63, 2033–2040 (Russ. J. Phys. Chem. (1989) 63, 967–971; 971–974; 1121–1124).Google Scholar
  53. 51.
    Durov, V.A. (1991) Thermodynamics of Non-Ideal Aggregates Mixture and Excess Functions of Non-Electrolytes Solution, Zh. Fiz. Khim. 65, 1766–1777 (Russ. J. Phys. Chem. (1991) 65, 939–945).Google Scholar
  54. 52.
    Durov, V.A. and Shilov, I.Yu. (1994) On Thermodynamics of Solutions of Polar Substances, Zh. Fiz. Khim. 68, 184–186 (Russ. J. Phys. Chem. (1994) 68, 165–166).Google Scholar
  55. 53.
    Durov, V.A. and Shilov, I.Yu. (1996) On Thermodynamics of Nonelectrolyte Solutions, Zh. Fiz. Khim. 70, 659–663 (Russ. J. Phys. Chem. (1996) 70, 600–604).Google Scholar
  56. 54.
    Durov, V.A. (1981) Structure and Dielectric Properties of One-Component Liquids, Zh. Fiz. Khim. 55, 2833–2841 (Russ. J. Phys. Chem. (1981) 55, 1612–1616).Google Scholar
  57. 55.
    Durov, V.A. (1982) Theory of Dielectric Properties of Liquid Associated Mixtures, Zh. Fiz. Khim. 56, 1950–1956 (Russ. J. Phys. Chem. (1982) 56, 1191–1194).Google Scholar
  58. 56.
    Durov, V.A. (1989) Theory of Static Dielectric Constant of Liquid Systems, Zh. Fiz. Khim. 63, 1587–1594 (Russ. J. Phys. Chem. (1989) 63, 875–878).Google Scholar
  59. 57.
    Durov, V.A. (1986) Theory of Static Permittivity of Associated Liquids and New Possibilities for Studying their Molecular Structure, in M.I. Shackhparonov and L.P. Filippov (eds.), Studies on the Structure, Thermal Motion and Properties of Liquids (monograph in Russian), Moscow University Press. Moscow. nn. 35–67.Google Scholar
  60. 58.
    Durov, V.A. (1999) Dielectric Materials, in T. Letcher (ed.), Chemical Thermodynamics. A Chemistry for the 21st Century, Blackwell Science, London, pp. 327–334.Google Scholar
  61. 59.
    Durov, V.A. (1976) On the Theory of Rayleigh Light Scattering in Liquids, Containing Chain-Like Aggregates, in M.I. Shakhparonov and L.P. Filippov (eds.), Physics and Physical Chemistry of Liquids (monograph in Russian), 3rd Issue, Moscow University Press, Moscow, pp. 125–137.Google Scholar
  62. 60.
    Durov, V.A. (1981) Calculation of Molecular Anisotropy of Chain-Like Aggregates. III. Statistically Averaged Molecular Anisotropy, Zh. Fiz. Khim. 55, 882–889 (Russ. J. Phys. Chem. (1981) 55).Google Scholar
  63. 61.
    Durov, V.A., Zhuravlev, V.I., and Romm, Th.A. (1985) Theoretical Study of the Molecular Structure of Liquids by Rayleigh Spectroscopy. I. Monohydric Alcohols. Zh. Fiz. Khim. 59, 96–101;Google Scholar
  64. 61a.
    Durov, V.A., Zhuravlev, V.I., and Romm, Th.A. (1985) Theoretical Study of the Molecular Structure of Liquids by Rayleigh Spectroscopy. II. Structure and Optical Properties of Liquid Methanol, Zh. Fiz. Khim. 59, 102–106.Google Scholar
  65. 62.
    Durov, V.A. (1995) Liquid Systems Supramolecular Organization: Modelling of Properties, Phenomena, and Molecular Design, Hung J. Ind. Chem. 23. 195–200.Google Scholar
  66. 63.
    Durov, V.A. (1987) Vestn. Mosk. Univ., Ser. Khim. 28, 54–61 (Proc. Moscow State University, Chem. 28, 45–50).Google Scholar
  67. 64.
    Durov, V.A. (1987) On Problems of Studying Molecular Thermal Motion in Liquids and Structure of Those by Relaxation Spectroscopy, in G.A. Krestov (ed.) Theoretical Methods on the Description of Solution Properties (monograph in Russian), Academic Press, Ivanovo, pp. 57–63.Google Scholar
  68. 65.
    Durov, V.A. (1994) Models of Liquid Systems with Internal Variables: Thermodynamics, Supramolecular Organisation, and Kinetic Phenomena, in M. Zeidler (ed.), Ultrafast Phenomena in Liquids and Glasses. Vibrational and Electronic Dynamics, Zakopane, Poland, p. 61.Google Scholar
  69. 66.
    Durov, V.A. (1982) Theory of the Static Dielectric Constant of Liquid Monohydric Alcohols, Zh. Fiz. Khim. 56, 384–390 (Russ. J. Phys. Chem. (1982) 56, 232–236).Google Scholar
  70. 67.
    Durov, V.A. and Usacheva, T.M. (1982) Dielectric Properties and Molecular Structure of Liquid n-Alkanols, Zh. Fiz. Khim. 56, 648–652 (Russ. J. Phys. Chem. (1982) 56, 394–396).Google Scholar
  71. 68.
    Durov, V.A., Bursulaya, B.Dj., and Ivanova, N.A. (1990) Molecular Interactions and Thermodynamic Functions of Liquid n-Alkanols, Zh. Fiz. Khim. 64, 34–39 (Russ. J Phys. Chem. (1990) 64, 19–22).Google Scholar
  72. 69.
    Durov, V.A., Bursulaya, B.Dj., Artykov, A., and Ivanova, N.A. (1989) Molecular Interactions and Thermodynamic Functions of Liquid Alicyclic Alcohols, Zh. Fiz. Khim. 63, 3192–3198.Google Scholar
  73. 70.
    Durov, V.A., Pukhala, Ch., and Lifanova, N.V. (1982) Structure and Dielectric Properties of Aromatic Alcohols. Phenylmethanol and 2-Phenylethanol, Vestn. Mosk Univ. Ser. Khim. 23, 33–37 (Proc. Moscow State University, Chem. (1982), 23).Google Scholar
  74. 71.
    Durov, V.A. and Pukhala, Ch. (1984) Molecular Structure of Liquid Aromatic Alcohols. 1-Phenylethanol and Phenyl-t-Butanol, Zh. Fiz. Khim. 58, 391–395 (Russ. J Phys. Chem. (1984) 58, 232–235).Google Scholar
  75. 72.
    Durov, V.A., Bursulaya, B.Dj., and Ivanova, N.A. (1990) Molecular Interactions, Thermodynamic Functions and Structure of Liquid Aromatic Alcohols, Zh. Fiz. Khim. 64, 620–626 (Russ. J Phys. Chem. (1990) 64, 331–333).Google Scholar
  76. 73.
    Durov, V.A. (1981) Structure and Dielectric Properties of Liquid N-Monosubstituted Amides, Zh. Fiz. Khim. 55, 2842–2848 (Russ. J. Phys. Chem. (1981), 55, 1616–1620).Google Scholar
  77. 74.
    Durov, V.A. and Bursulaya, B.Dj. (1991) Thermodynamics of Molecular Interactions in Liquid N-Monosubstituted Amides, Zh. Fiz. Khim. 65, 2066–2071 (Russ. J Phys. Chem. (1991) 65, 1098–1100).Google Scholar
  78. 75.
    Durov, V.A. and Shilov, I.Yu. (1996) Supramolecular Organization and Physico-chemical Properties of Dimethylsulfoxide-Trichloromethane Solutions, Zh. Fiz. Khim. 70, 818–824 (Russ. J. Phys. Chem. (1996) 70, 757–763).Google Scholar
  79. 76.
    Durov, V.A. and Shilov, I.Yu. (1996) Supramolecular Organization and Physicochemical Properties of Cyclohexane-Cyclohexanol Solutions, Zh. Fiz. Khim. 70, 1224–1229 (Russ. J. Phys. Chem. (1996) 70, 1138–1143).Google Scholar
  80. 77.
    Durov, V.A. and Shilov, I.Yu. (1996) Molecular Structure and Physicochemical Properties of Acetone-Chloroform Mixture, J. Chem. Soc. Faraday Trans. 92, 3559–3564.CrossRefGoogle Scholar
  81. 78.
    Durov, V.A. and Shilov, I.Yu. (1996) Supramolecular Organization and Physicochemical Properties of Cyclohexanone-Cyclohexanol Solutions, Zh. Fiz. Khim. 70, 2180–2186 (1996) (Russ. J. Phys. Chem. (1996) 70, 2016–2022).Google Scholar
  82. 79.
    Durov, V.A. and Shilov, I.Yu. (1997) Molecular Structure and Dielectric Properties of Cyclohexanone-4-Methylcyclohexanol Mixtures, Zh. Fiz. Khim. 71, 450–454 (Russ. J. Phys. Chem. (1997) 71, 381–385).Google Scholar
  83. 80.
    Durov, V.A. and Shilov, I.Yu. (1998) Dielectric Properties and Structure of Liquid Unsaturated Monohydric Alcohols and Their Solutions in Tetrachloromethane, Zh. Fiz. Khim. 72, 1245–1250 (Russ. J. Phys. Chem. (1998) 72, 1114–1119).Google Scholar
  84. 81.
    Durov, V.A., Tereshin, O.G., and Shilov, I.Yu. (2001) Supramolecular Structure and Physicochemical Properties of Chloroform-Methanol Mixture, Zh. Fiz. Khim. 75, 1618–1627 (Russ. J. Phys. Chem. (2001) 75, 1593–1602).Google Scholar
  85. 82.
    Durov, V.A., Tereshin, O.G., and Shilov, I.Yu. (2001) Supramolecular Structure and Physicochemical Properties of Chloroform-Ethanol Mixture, Zh. Fiz. Khim. 75, 1927–1934 (Russ. J. Phys. Chem. (2001) 75, 1832–1839).Google Scholar
  86. 83.
    Durov, V.A. and Shilov, I.Yu. (2001) Supramolecular Structure and Physicochemical Properties of the Mixture Tetrachloromethane — Methanol, J. Mol. Liq. 92, 165–184.CrossRefGoogle Scholar
  87. 84.
    Durov, V.A. and Tereshin, O.G. (2003) Supramolecular Structure and Physicochemical Properties of Acetone-Methanol Mixture, Struct. Chem., accepted.Google Scholar
  88. 85.
    Durov, V.A. and Tereshin, O.G. (2003) Models of Halogenated Hydrocarbon-Organic Solvent Mixtures: Molecular Interactions, Structure and Physicochemical Properties, Fluid Phase Equil., accepted.Google Scholar
  89. 86.
    Shilov, I.Yu., Rode, B.M., and Durov V.A. (1999) Long Range Molecular Correlations and Hydrogen Bonding in Liquid Methanol. A Monte-Carlo Simulation. Chem. Phys. 241, 75–82.CrossRefGoogle Scholar
  90. 87.
    Landau, L.D. and Lifshitz, E.M. (1982) Electrodynamics of Continuous Media (monograph in Russian), 2nd. ed., Science, Moscow.Google Scholar
  91. 88.
    Berne, B.J. and Pecora, R. (1976). Dynamic Light Scattering with Applications to Chemistry, Biology, and Physics. Wiley, New York.Google Scholar
  92. 89.
    Flygare, W.H. (1977) Light Scattering in Pure Liquids and Solutions, Chem. Soc. Rev. 6, 109–138.CrossRefGoogle Scholar
  93. 90.
    Kivelson, D. and Madden, P.A. (1980) Light Scattering Studies of Molecular Liquids, Ann. Rev. Phys. Chem. 31, 523–558.ADSCrossRefGoogle Scholar
  94. 91.
    Hill, T. (1956) Statistical Mechanics, Mc-Graw-Hill, New York.zbMATHGoogle Scholar
  95. 92.
    Keilich, S. (1981) Nonlinear Molecular Optics (monograph in Russian), Mir, Moscow.Google Scholar
  96. 93.
    Shakhparonov, M.I. and Durov, V.A. (1980). Mechanisms of Fast Reactions in Liquids (monograph in Russian), pp. 307–340, Vyushaya Shkola, Moscow.Google Scholar
  97. 94.
    Shakhparonov, M.I. and Durov, V.A. (1979) Theory of Collective Reactions in Liquids. I. Formulation of the Basic Concept, Zh. Fiz. Khim. 53, 1401–1406;Google Scholar
  98. 94a.
    Shakhparonov, M.I. and Durov, V.A. (1979) Theory of Collective Reactions in Liquids. V. Collective Reactions and Vitrification, Zh. Fiz. Khim. 53, 2451–2455 (Russ. J. Phys. Chem. (1979), 53, 792–795; 1401–1403).Google Scholar
  99. 95.
    Durov, V.A. and Shakhparonov, M.I. (1979) Theory of Collective Reactions in Liquids. II. Properties of Correlation Functions for Reaction Events, Zh. Fiz. Khim. 53, 1833–1834;Google Scholar
  100. 95a.
    Durov, V.A. and Shakhparonov, M.I. (1979) Theory of Collective Reactions in Liquids. III. Simple Collective Reaction, Zh. Fiz. Khim. 53, 2251–2255;Google Scholar
  101. 95b.
    Durov, V.A. and Shakhparonov, M.I. (1979) Theory of Collective Reactions in Liquids. IV. Rate of the Collective Reaction, Zh. Fiz. Khim. 53, 2256–2260;Google Scholar
  102. 95c.
    Durov, V.A. and Shakhparonov, M.I. (1979) Theory of Collective Reactions in Liquids. VI. Williams-Landell-Ferry Equation, Zh. Fiz. Khim. 53, 2456–2460 (Russ. J. Phys. Chem. (1979) 53, 1041; 1282–1285; 1285–1287; 1404–1406).Google Scholar
  103. 96.
    Durov, V.A. (1979) Theory of Collective Reactions in Liquids. VII. System with Two Collective Reactions, Zh. Fiz. Khim., 53, 3086–3091;Google Scholar
  104. 96a.
    Durov, V.A. (1979) Theory of Collective Reactions in Liquids. 8. System with Multiple Collective Reactions, Zh. Fiz. Khim. 53, 3092–3096 (Russ. J. Phys. Chem. (1979) 53. 1772–1774: 1775–1777)Google Scholar
  105. 97.
    Gotze, W. (1999) Recent Tests of the Mode-Coupling Theory for Glassy Dynamics. J. Phys.-Condens. Matter 11, A1–A45.ADSCrossRefGoogle Scholar
  106. 98.
    Theis, C. and Schilling, R. (1999) Neutron-Scattering and Molecular Correlations in a Supercooled Liquid, Phvs. Rev. E. 60.740–750.ADSCrossRefGoogle Scholar
  107. 99.
    Lunkenheimer, P., Schneider, U., Brand, R., and Loidl, A. (2000) Glassy Dynamics, Contemporary Phys. 41, 15–36.ADSCrossRefGoogle Scholar
  108. 100.
    Durov, V.A., Rabitchev, E.O., and Shakhparonov M.I. (1980) Acoustic Spectroscopy of Glycerol and Its Mixtures with Butanol, in Ya.I. Gerasimov, P.A. Akishin, and M.I. Shackhparonov (eds.), Modern Problems in Physical Chemistry (monograph in Russian), 12th Issue, Moscow University Press, Moscow, pp. 180–218.Google Scholar
  109. 101.
    Durov, V.A. (1986) Acoustic Spectroscopy of the Conformation Transitions of Molecule. I. Three States Model, Zh. Fiz. Khim. 60, 618–623;Google Scholar
  110. 101a.
    Durov, V.A. (1986) Acoustic Spectroscopy of the Conformation Transitions of Molecule. II. Three States Model: Analysis of the General Solution, Zh. Fiz. Khim. 60, 624–630;Google Scholar
  111. 101b.
    Durov, V.A. (1986) Acoustic Spectroscopy of the Conformation Transitions of Molecule. III. Molecules with Six-Membered Rings, Zh. Fiz. Khim. 60, 1754–1761;Google Scholar
  112. 101c.
    Durov, V.A. (1986) Acoustic Spectroscopy of the Conformation Transitions of Molecule. 4. Alkanes. Basic Problems. n-Pentane, Zh. Fiz. Khim. 60, 1762–1767;Google Scholar
  113. 101d.
    Durov, V.A. (1986) Acoustic Spectroscopy of the Conformation Transitions of Molecule. VI. Spectrum of Liquid n-Pentane, Zh. Fiz. Khim. 60, 2826–2833 (Russ. J. Phys. Chem. (1986), 60, 367–370; 370–374; 1050–1054; 1054–1058: 1826–1833).Google Scholar
  114. 102.
    Durov, V.A. and Artykov, A. (1988) Kinetics and Mechanisms of Acoustic Relaxation in Liquid Six-Membered Ketones, Zh. Fiz. Khim. 62, 461–471 (Russ. J Phys. Chem. (1988), 62, 210–215).Google Scholar
  115. 103.
    Durov, V.A. and Artykov, A. (1988) Kinetics and Mechanisms of Molecular Thermal Motion in Liquid Cyclohexane, Zh. Fiz. Khim. 62, 2477–2483 (Russ. J. Phys. Chem. (1988), 62).Google Scholar
  116. 104.
    Durov, V.A. and Ziyaev, G.M. (1988) Kinetics and Mechanisms of Acoustic Relaxation in 2,3-Dimethylbutane-2,3-diol and Its Binary Mixtures with Water and 1-Butanol, Zh. Fiz. Khim. 62, 450–460 (Russ. J. Phys. Chem. (1988), 62, 205–210).Google Scholar
  117. 105.
    Durov, V.A. and Ziyaev, G.M. (1989) Kinetics and Mechanisms of Acoustic Relaxation in Butane-2,3-diol, and Its Binary Mixtures with Water and 1-Butanol, Zh. Obsh. Khim. 59, 204–210.Google Scholar
  118. 106.
    Durov, V.A. and Tereshin O.G. (2004) Supramolecular Structure and Physicochemical Properties of Cyclohexane-Ethanol Mixture. On the Role of the Cyclic Aggregates, Zh.Fiz.Khim. 75 (Russ. J Phys. Chem. (2004), 75), accepted.Google Scholar
  119. 107.
    Durov, V.A. and Tereshin, O.G. (2003) Supramolecular Structure and Physicochemical Properties of 1,4-Dioxane-Methanol Mixture. Zh.Fiz.Khim. 74 (Russ. J Phys. Chem. (2003), 74), accepted.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • V. A. Durov
    • 1
  1. 1.Department of Physical Chemistry, Faculty of ChemistryLomonosov Moscow State UniversityMoscowRussia

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