Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Arkhipov VI (2002) Hierarchy of dielectric relaxation times in water. J Non-Cryst Solids 305:127–135
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):369–373
Boettcher CF, Bordewijk P (1992) Theory of electric polarisation, 2nd edn. Elsevier Science B.V., Amsterdam
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):1982–1987
Buchner R, Hefter GT, May PM (1999) Dielectric relaxation of aqueous NaCl solutions. J Phys Chem A 103(1):1–9
Caffarena ER, Grigera JR (1999) Hydration of glucose in the rubbery and glassy states studied by molecular dynamics simulation. Carbohydr Res 315(1):63–69
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):6422–6426
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 285–439
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, 14
Cole KS, Cole RH (1941) Dispersion and absorption in dielectrics: I. Alternating current characteristics. J Chem Phys 9:341–351
Debye P (1929) Polar molecules. Chemical Catalog, New York
Eisenberg D, Kauzmann W (1969) The structure and properties of water. The Clarendon Press, Oxford, pp 137–149
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 1–125
Fröhlich H (1958) Theory of dielectrics, 2nd edn. Clarendon, Oxford.
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 105:2036–2042
Gulich R, Köhler M, Lunkenheimer P, Loidl A (2009) Dielectric spectroscopy on aqueous electrolytic solutions. Rad Environ Biophys 48:107–114
Gutina A, Antropova T, Rysiakiewicz-Pasek E, Virnik K, Feldman Yu (2003) Dielectric relaxation in porous glasses. Microporous Mesoporous Mater 58(3):237–254
Hasted JB (1973) Aqueous dielectrics. Chapman and Hall, London
Hilfer R (1995) Foundations of fractional dynamics. Fractals 3(3):549–556
Hilfer R (2000) Fractional time evolution. In: Hilfer R (ed) Applications of fractional calculus in physics. World Scientific, Singapore, pp 87–130
Hilfer R (2002) Experimental evidence for fractional time evolution in glass forming materials. Chem Phys 284:399–408
Kaatze U (2010) Techniques for measuring the microwave dielectric properties of materials. Metrologia 47:S91–S113
Kaatze U (1987) Dielectric spectrum of a 0.5 M aqueous NaC1 solution. J Phys Chem 91:3111–3113
Kaatze U, Behrends R, Pottel R (2002) Hydrogen network fluctuations and dielectric spectrometry of liquids. J Non-Cryst Solids 305(1–3):19–28
Kaatze U, Feldman Yu (2006) Broadband dielectric spectrometry of liquids and biosystems. Meas Sci Technol 17(2):R17–R35
Kirkwood JG (1939) The dielectric polarization of polar liquids. J Chem Phys 7(10):911–920
Kremer F, Schönhals A (2003) Broadband dielectric spectroscopy. Springer, Berlin, Heidelberg
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):114502
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):114503
Loginova DV, Lileev AS, Lyaschenko AK (2002) Dielectric properties of aqueous potassium chloride solutions as a function of temperature. Russ J Inorg Chem 47:1426–1433
Metzler R, Klafter J (2000) The random walk’s guide to anomalous diffusion: a fractional dynamics approach. Phys Rep 339(1):1–77
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 112:10801–10806
Nörtemann K, Hilland J, Kaatze U (1997) Dielectric properties of aqueous NaCl solutions at microwave frequencies. J Phys Chem A 101:6864–6869
Partay L, Jedlovszky PJ (2005) Line of percolation in supercritical water. J Chem Phys 123:024502–024505
Peyman A, Gabriel C, Grant EH (2007) Complex permittivity of sodium chloride solutions at microwave frequencies. Bioelectromagnetics 28:264–274
Puzenko A, Ben Ishai P, Feldman Y (2010) Cole-Cole broadening in dielectric relaxation and strange kinetics. Phys Rev Lett 105:037601–037604
Sciortino F, Geiger A, Stanley HE (1992) Network defect and molecular mobility in liquid water. J Chem Phys 96:3857–3865
Suzuki T (2008) The hydration of glucose: the local configurations in sugar-water hydrogen bonds. Phys Chem Chem Phys 10(1):96–105
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 492:37–44
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):4569–4573
Chen T, Hefter G, Buchner R (2003) Dielectric spectroscopy of aqueous solutions of KCl and CsCl. J Phys Chem A 107:4025–4031
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Feldman, Y., Puzenko, A.A., Ishai, P.B., Levy, E. (2013). Dielectric Relaxation of Water in Complex Systems. In: Kalmykov, Y. (eds) Recent Advances in Broadband Dielectric Spectroscopy. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5012-8_1
Download citation
DOI: https://doi.org/10.1007/978-94-007-5012-8_1
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-5011-1
Online ISBN: 978-94-007-5012-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)