Dielectric Relaxation of Water in Complex Systems

Conference paper
Part of the NATO Science for Peace and Security Series B: Physics and Biophysics book series (NAPSB)


Whenever water interacts with another dipolar or charged entity, a broadening of the dielectric relaxation peak occurs. This broadening can often be described by the phenomenological Cole-Cole (CC) spectral function. A new approach (Puzenko AA, Ben Ishai P, and Feldman Y, Phys Rev Lett 105:037601, 2010) based on the fractal nature of the time set of the interaction of the relaxing water dipoles with its encompassing matrix has been recently presented showing a fundamental connection between the relaxation time, τ, the broadening parameter, α, and the Kirkwood-Fröhlich correlation function B. Parameters B, τ and α where chosen as the coordinates of a new 3D space. The evolution of the relaxation process due to the variation of external macroscopic parameters (temperature, pressure etc.) represents the trajectory in 3D space. This trajectory demonstrates the connection between the kinetic and structural properties of the water in complex system. It is also shown how the model describes the state of water in two porous silica glasses and in two different types of aqueous solutions: ionic, and non-ionic. The complex dielectric spectra of a series of solutions of sodium chloride and potassium chloride in water have been measured and have been carefully analyzed along with previously measured spectra for aqueous solutions of D-glucose and D-fructose.


Dielectric Relaxation Water Cluster Hydration Shell Water Dipole Porous Silica Glass 
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  1. 1.
    Arkhipov VI (2002) Hierarchy of dielectric relaxation times in water. J Non-Cryst Solids 305:127–135CrossRefADSGoogle Scholar
  2. 2.
    Barthel J, Bachhuber K, Buchner R, Hetzenauer H (1990) Dielectric spectra of some common solvents in the microwave region. Water and lower alcohols. Chem Phys Lett 165(4):369–373CrossRefADSGoogle Scholar
  3. 3.
    Boettcher CF, Bordewijk P (1992) Theory of electric polarisation, 2nd edn. Elsevier Science B.V., AmsterdamGoogle Scholar
  4. 4.
    Brovchenko I, Geiger A, Oleinikova A (2004) Clustering of water molecules in aqueous solutions: effect of water–solute interaction. Phys Chem Chem Phys 6(8):1982–1987CrossRefGoogle Scholar
  5. 5.
    Buchner R, Hefter GT, May PM (1999) Dielectric relaxation of aqueous NaCl solutions. J Phys Chem A 103(1):1–9CrossRefGoogle Scholar
  6. 6.
    Caffarena ER, Grigera JR (1999) Hydration of glucose in the rubbery and glassy states studied by molecular dynamics simulation. Carbohydr Res 315(1):63–69CrossRefGoogle Scholar
  7. 7.
    Coffey WT, Kalmykov Yu P, Titov SV (2002) Anomalous dielectric relaxation in the context of the Debye model of noninertial rotational diffusion. J Chem Phys 116(15):6422–6426CrossRefADSGoogle Scholar
  8. 8.
    Coffey WT, Kalmykov Yu P, Titov SV (2006) Fractals, diffusion, and relaxation in complex disordered systems. In: Kalmykov YP, Coffey WT, Rice SA (eds) Advances in chemical physics, vol 133B. Wiley, New York, pp 285–439Google Scholar
  9. 9.
    Coffey WT, Kalmykov YuP, Waldron JT (2004) The Langevin equation with application in physics, chemistry and electrical engineering, 2nd edn, World scientific series in contemporary chemical physics. World Scientific Publishing Co., Singapore, 14Google Scholar
  10. 10.
    Cole KS, Cole RH (1941) Dispersion and absorption in dielectrics: I. Alternating current characteristics. J Chem Phys 9:341–351CrossRefADSGoogle Scholar
  11. 11.
    Debye P (1929) Polar molecules. Chemical Catalog, New YorkzbMATHGoogle Scholar
  12. 12.
    Eisenberg D, Kauzmann W (1969) The structure and properties of water. The Clarendon Press, Oxford, pp 137–149Google Scholar
  13. 13.
    Feldman Y, Puzenko A, Ryabov Ya (2006) Dielectric relaxation phenomena in complex materials. In: Kalmykov YP, Coffey WT, Rice SA (eds) Advances in chemical physics, vol 133A. Wiley, New York, pp 1–125Google Scholar
  14. 14.
    Fröhlich H (1958) Theory of dielectrics, 2nd edn. Clarendon, Oxford.Google Scholar
  15. 15.
    Fuchs K, Kaatze U (2001) Molecular dynamics of carbohydrate aqueous solutions. Dielectric relaxation as a function of glucose and fructose concentration. J Phys Chem B 105:2036–2042CrossRefGoogle Scholar
  16. 16.
    Gulich R, Köhler M, Lunkenheimer P, Loidl A (2009) Dielectric spectroscopy on aqueous electrolytic solutions. Rad Environ Biophys 48:107–114CrossRefGoogle Scholar
  17. 17.
    Gutina A, Antropova T, Rysiakiewicz-Pasek E, Virnik K, Feldman Yu (2003) Dielectric relaxation in porous glasses. Microporous Mesoporous Mater 58(3):237–254CrossRefGoogle Scholar
  18. 18.
    Hasted JB (1973) Aqueous dielectrics. Chapman and Hall, LondonGoogle Scholar
  19. 19.
    Hilfer R (1995) Foundations of fractional dynamics. Fractals 3(3):549–556MathSciNetzbMATHCrossRefGoogle Scholar
  20. 20.
    Hilfer R (2000) Fractional time evolution. In: Hilfer R (ed) Applications of fractional calculus in physics. World Scientific, Singapore, pp 87–130CrossRefGoogle Scholar
  21. 21.
    Hilfer R (2002) Experimental evidence for fractional time evolution in glass forming materials. Chem Phys 284:399–408CrossRefADSGoogle Scholar
  22. 22.
    Kaatze U (2010) Techniques for measuring the microwave dielectric properties of materials. Metrologia 47:S91–S113CrossRefADSGoogle Scholar
  23. 23.
    Kaatze U (1987) Dielectric spectrum of a 0.5 M aqueous NaC1 solution. J Phys Chem 91:3111–3113CrossRefGoogle Scholar
  24. 24.
    Kaatze U, Behrends R, Pottel R (2002) Hydrogen network fluctuations and dielectric spectrometry of liquids. J Non-Cryst Solids 305(1–3):19–28CrossRefADSGoogle Scholar
  25. 25.
    Kaatze U, Feldman Yu (2006) Broadband dielectric spectrometry of liquids and biosystems. Meas Sci Technol 17(2):R17–R35CrossRefADSGoogle Scholar
  26. 26.
    Kirkwood JG (1939) The dielectric polarization of polar liquids. J Chem Phys 7(10):911–920CrossRefADSGoogle Scholar
  27. 27.
    Kremer F, Schönhals A (2003) Broadband dielectric spectroscopy. Springer, Berlin, HeidelbergGoogle Scholar
  28. 28.
    Levy E, Puzenko A, Kaatze U, Ben Ishai P, Feldman Yu (2011) Dielectric spectra broadening as the signature of dipole-matrix interaction; Part I. Water in non-ionic solutions. J Chem Phys 136(11):114502CrossRefADSGoogle Scholar
  29. 29.
    Levy E, Puzenko A, Kaatze U, Ben Ishai P, Feldman Yu (2011) Dielectric spectra broadening as the signature of dipole-matrix interaction; Part II. Water in ionic solutions. J Chem Phys 136(11):114503CrossRefADSGoogle Scholar
  30. 30.
    Loginova DV, Lileev AS, Lyaschenko AK (2002) Dielectric properties of aqueous potassium chloride solutions as a function of temperature. Russ J Inorg Chem 47:1426–1433Google Scholar
  31. 31.
    Metzler R, Klafter J (2000) The random walk’s guide to anomalous diffusion: a fractional dynamics approach. Phys Rep 339(1):1–77MathSciNetzbMATHCrossRefADSGoogle Scholar
  32. 32.
    Miyazaki T, Mogami G, Wazawa T, Kodama T, Suzuki M (2008) Measurement of the dielectric relaxation property of water-ion loose complex in aqueous solutions of salt at low concentrations. J Phys Chem A 112:10801–10806CrossRefGoogle Scholar
  33. 33.
    Nörtemann K, Hilland J, Kaatze U (1997) Dielectric properties of aqueous NaCl solutions at microwave frequencies. J Phys Chem A 101:6864–6869CrossRefGoogle Scholar
  34. 34.
    Partay L, Jedlovszky PJ (2005) Line of percolation in supercritical water. J Chem Phys 123:024502–024505CrossRefADSGoogle Scholar
  35. 35.
    Peyman A, Gabriel C, Grant EH (2007) Complex permittivity of sodium chloride solutions at microwave frequencies. Bioelectromagnetics 28:264–274CrossRefGoogle Scholar
  36. 36.
    Puzenko A, Ben Ishai P, Feldman Y (2010) Cole-Cole broadening in dielectric relaxation and strange kinetics. Phys Rev Lett 105:037601–037604CrossRefADSGoogle Scholar
  37. 37.
    Sciortino F, Geiger A, Stanley HE (1992) Network defect and molecular mobility in liquid water. J Chem Phys 96:3857–3865CrossRefADSGoogle Scholar
  38. 38.
    Suzuki T (2008) The hydration of glucose: the local configurations in sugar-water hydrogen bonds. Phys Chem Chem Phys 10(1):96–105CrossRefGoogle Scholar
  39. 39.
    Tombari E, Ferrari C, Salvetti G, Johari GP (2009) Dynamic and apparent specific heats during transformation of water in partly filled nanopores during slow cooling to 110 K and heating. Thermochim Acta 492:37–44CrossRefGoogle Scholar
  40. 40.
    Wei YZ, Chiang P, Sridhar S (1992) Ion size effects on the dynamic and static dielectric properties of aqueous alkali solutions. J Chem Phys 96(6):4569–4573CrossRefADSGoogle Scholar
  41. 41.
    Chen T, Hefter G, Buchner R (2003) Dielectric spectroscopy of aqueous solutions of KCl and CsCl. J Phys Chem A 107:4025–4031CrossRefGoogle Scholar

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© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of Applied PhysicsThe Hebrew University of JerusalemJerusalemIsrael

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