Skip to main content

Static and Dynamic Light Scattering in Phase-Separating Systems

  • Chapter
Light Scattering and Photon Correlation Spectroscopy

Part of the book series: NATO ASI Series ((ASHT,volume 40))

Abstract

The diffusion coefficients, susceptibility, surface tension and viscosity are measured by quazielastic light scattering spectroscopy for several phase-separating mixtures in the single-phase region along lines of constant concentrations and in the two-phase region along the coexistence curve. An analytical form of the universal functions both for static and for dynamic properties is derived using the concept of pseudo-spinodal and quasichemical approach to the symmetrization of the binary coexistence curves. The behaviour of the mobility of components in the vicinity of the critical point is explained.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Stanley, H.E. (1973) Introduction to Phase Transitions and Critical Phenomena, Oxford University, NewYork.

    Google Scholar 

  2. Widom, B. (1965) Equation of state in the neighborhood of the critical point, J.Chem.Phys. 43, 3898–3905.

    Article  ADS  Google Scholar 

  3. Griffiths, R.B. (1967) Thermodynamic functions for fluids and fetromagnets near the critical point, Phys.Rev. 158, 176–187.

    Article  ADS  Google Scholar 

  4. Anisimov, M.A. (1981) Critical Phenomena in Liquids and Liquid Crystals, Gordon and Breach, London.

    Google Scholar 

  5. Hohenberg, P.C. and Halperin, B.I. (1977) Theory of dynamic critical phenomena, Rev.Mod.Phys. 49, 435–479, and references contained therein.

    Article  ADS  Google Scholar 

  6. Schofield, P. (1969) Parametric representation of the equation of state near a critical point, Phys.Rev.Lett. 22, 606 - 608.

    Article  ADS  Google Scholar 

  7. Sorensen, C.M. (1991) Comparison of the pseudo-spinodal to the transition from metastability to instability in a binary-liquid mixture, J.Chem.Phys. 94, 8630–8631, and references contained therein.

    Article  ADS  Google Scholar 

  8. Fabelinsky, I.L. (1965) MolecularLight Scattering, Nauka, Moscow, (in Russian).

    Google Scholar 

  9. Landau, L.D. and Lifshitz, É.M. (1958) Statistical Physics, Addison-Wesley, Reading, Mass.

    Google Scholar 

  10. Levich, V.G. (1962) Physicochemical Hydrodynamics, Prentice-Hall, New York.

    Google Scholar 

  11. Papoular, P.M. (1968) Ondes de surface dans un systeme de deux phases fluids supeiposees,.J. de Physique 29, 81–87.

    Article  Google Scholar 

  12. Langevin, D. (1992) Light Scattering by Liquid Surfaces and Complementary Technique, Marcel Derrer, New York, and references contained therein.

    Google Scholar 

  13. Cummins, H.Z. and Pike, E.R. (1974) Photon Correlation and Light Beating Spectroscopy, Plenum Press, New York and London.

    Google Scholar 

  14. Kazakov, S.V. and Chemova, N.I. (1980) Experimental study of the optimum parameters of the light heterodyne spectrometer, Optics and Spectroscopy (USSR) 49, 404 - 406.

    Google Scholar 

  15. Samokhin, S.P. and Chemova N.I. (1987) Microcomputer-equipped laser heterodyne spectrometer for measuring surface tension and viscosity of liquids, Izmerit. Tekhnika (USSR) 11, 58 - 59.

    Google Scholar 

  16. Samokhin, S.P. and Chemova N.I. (1988) Instrumental function of laser heterodyne spectrometer with a diffraction grating. Optics and Spectroscopy (USSR) 64, 460 - 461.

    Google Scholar 

  17. Hard, S., Hamnerius, I., and Nilson, O. (1976) Laser heterodyne apparatus for measurements of liquid surface properties. Theory and experiments, J.AppL.Phys. 47, 2433–2442.

    Article  ADS  Google Scholar 

  18. Pusey, P.N. and Goldburg, W.I. (1971) Light-scattering measurement of concentration fluctuations in phenol-water near its critical point, Phys.Rev. 3A, 766 - 776.

    ADS  Google Scholar 

  19. Jasnow, D and Goldburg, W.I. (1972) Asytmnetry in critical light-scattering from binary mixtures of phenol and water in two-phase region, Phys.Rev. 6A, 2492 - 2498.

    ADS  Google Scholar 

  20. Sengers, J.V. (1972) Transport processes near the critical point of gases and binary liquids in hydrodynamic region, Ber.Bunsen.Ges., Phys.Chem. 76, 234 - 249.

    Google Scholar 

  21. Kazakov, S.V. and Chemova, N.I. (1982) Universality of transport and equilibrium thermodynamic properties of liquid mixtures in the critical phase-separation region, JETP Lett. 36, 47–51.

    ADS  Google Scholar 

  22. Kazakov, S.V., Samokhin, S.P., and Chemova, N.I. (1992) Mutual solubility and common kinetic and thermodynamic properties of binary phase-separating mixtures, Fluid Mechanics Research 21, 105–108.

    Google Scholar 

  23. Chaar, H., Moldover, M.R., and Schmidt, S.M. (1986) Universal amplitudes and the interfacial tension near consolute points of binary liquid mixtures, J.Chem.Phys. 85, 418 - 427.

    Article  ADS  Google Scholar 

  24. De Groot, S.R. and Mazur, P. (1962) Non Equilibrium Thermodynamics, North-Holland Publ. Comp., Amsterdam.

    Google Scholar 

  25. Tyrrell, H.J.V. (1961) DifJusion and Heat Flow in Liquids, Butter Worths, London.

    Google Scholar 

  26. Gerts, I.G. and Filippov L.P. (1956) Investigation of the heat conductivity near critical points of binary liquid systems, Sov.J.Phys.Chem. 30, 2424 - 2427.

    Google Scholar 

  27. Giglio, M. and Vendramini, A. (1975) Thermal-diffusion measurements near a consolute critical point, Phys.Rev.Lett. 34, 561 - 565.

    Article  ADS  Google Scholar 

  28. Rowley, R.L. and Home, F.H. (1978) The Duffer effect, J.Chem.Phys. 68, 325 - 326.

    Article  ADS  Google Scholar 

  29. Rowley, R.L. and Home, F.H. (1979) Critical exponent of the heat of transport of water-isobutyric acid mixture, J.Chem.Phys. 71, 3841 - 3850.

    Article  ADS  Google Scholar 

  30. Filippov, L.P., Chemova, N.I., and Kazakov, S.V. (1986) Description of thermodynamic and kinetic properties of liquids in an extended region surrounding the critical phase-separation point, SovJ.Phys.Chem. 50, 2727 - 2730.

    Google Scholar 

  31. Kazakov, S.V. and Chemova, N.I. (1995) Relative skewness of coexistence curves for binary systems with miscibility gap, RusJ.Phys.Chem. 69, 1113 - 1118.

    Google Scholar 

  32. Kazakov, S.V. and Chemova, N.I. (1997) Coexistence curves of binary phase-separating systems of various nature: symmetrization and scaling description, RusJ.Phys.Chem. 71, 242 - 247.

    Google Scholar 

  33. Haller, W., Blackburn, D.H. and Simmons, J.H. (1974) Miscibility gaps in alkali-silicate binaries. Data and thermodynamic interpretation, JAm.Cer.Soc. 54, 120 - 126.

    Article  Google Scholar 

  34. Nakata, M., Kuwahara, N., and Kaneko, M. (1975) Coexistence curve for polystyrine-cyclohaxane near the critical point, J.Chem.Phys. 62, 4278 - 4283.

    Article  ADS  Google Scholar 

  35. Cox, H.L., Nelson, W.L., and Cretcher, L.H. (1927) Reciprocal solubility of the normal propyl ethers of 1,2-propylene glycol and water. Closed solubility curves, J.Am.Chem.Soc. 49, 1080 - 1083.

    Article  Google Scholar 

  36. Avdeeva, G.I. and Migdal, A.A. (1972) Equation of state in the (4-ɛ)-Ising model, JETP Lett. 16, 253–255.

    Google Scholar 

  37. Brezin, E., Wallance, D.J., and Wilson, KG. (1973) Feynman-graph expansion for the equation of state near the critical point, Phys.Rev. 137, 232 - 239.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Kazakov, S.V., Chernova, N.I. (1997). Static and Dynamic Light Scattering in Phase-Separating Systems. In: Pike, E.R., Abbiss, J.B. (eds) Light Scattering and Photon Correlation Spectroscopy. NATO ASI Series, vol 40. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5586-1_35

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-5586-1_35

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6355-5

  • Online ISBN: 978-94-011-5586-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics