Skip to main content

Integral Equations for the Microstructures of Supercritical Fluids

  • Chapter
Supercritical Fluids

Part of the book series: NATO ASI Series ((NSSE,volume 273))

  • 455 Accesses

Abstract

We outline the numerical methods of solution of integral equations describing the microstructure of supercritical mixtures, including the Picard and Labik-Gillan methods. Solution of these equations yields the solvent-solute, solvent-solvent, and solute-solute pair correlation functions g ij (r). We illustrate calculated microstructures of supercritical solutions for both attractive and repulsive systems. The important structural aspects are the variations of the peak heights of g ij (r) (which are not related to near-critical behavior) and long-range tails in g ij r) which influence divergence in the partial molar volume and the mixture osmotic susceptibilities (which are due to critical effects).

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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. Llano-Restrepo, M.; Chapman, W. G. J. Chem. Phys., 1993, preprint.

    Google Scholar 

  2. Lee, L. L. J. Chem. Phys., 1992, 97, 8606.

    Article  CAS  Google Scholar 

  3. Chialvo, A. A.; Cummings, P. T. 1993, preprint.

    Google Scholar 

  4. Debenedetti, P. G.; Mohamed, R. S. J Chem. Phys., 1989, 90, 4528.

    Article  CAS  Google Scholar 

  5. Gillan, M. J. Mol. Phys., 1979, 38, 1781.

    Article  CAS  Google Scholar 

  6. Labik, S.; Malijevsky, A.; Vonka, P. Mol. Phys., 1985, 56, 709.

    Article  CAS  Google Scholar 

  7. Monson, P. A. Mol. Phys., 1982, 47, 435.

    Article  CAS  Google Scholar 

  8. Enciso, E. Mol. Phys., 1985, 56, 129.

    Article  CAS  Google Scholar 

  9. Watts, R. O. J. Chem. Phys., 1968, 48, 50.

    Article  Google Scholar 

  10. Baxter, R.J. Phys. Rev., 1967, 154, 170.

    Article  CAS  Google Scholar 

  11. Baxter, R. J. Aust. J. Phys., 1968, 21, 563.

    Article  Google Scholar 

  12. Baxter, R. J. J. Chem. Phys., 1970, 52, 4559.

    Article  CAS  Google Scholar 

  13. Cummings, P. T.; Monson, P. A. presented at 10th Symp. on Thermophys. Props., Gaithers-burg, MD, June 20–23, 1988.

    Google Scholar 

  14. Busigin, A. and C. R. Phillips, Mol. Phys., 1992, 76, 89.

    Article  CAS  Google Scholar 

  15. Cochran, H. D.; Lee, L. L. In Supercritical Fluid Science and Technology, Johnston, K. P.; Penninger, J. M. L. Eds.; ACS Symp. Ser. 406; American Chemical Society: Washington, DC, 1989; Chapter 3.

    Google Scholar 

  16. Cochran, H. D.; Lee, L. L.; Pfund, D. M. Fluid Phase Equilibr., 1987, 34, 219.

    Article  CAS  Google Scholar 

  17. Cochran, H. D.; Lee, L. L.; Pfund, D. M. Proc. Int. Symp. on Supercritical Fluids, Permt, M.; Ed.; Nice, France, 1988, 245.

    Google Scholar 

  18. Cochran, H. D.; Lee, L. L.; Pfund, D. M. Fluctuation Theory of Mixtures, Matteoli, E.; Ed.; Advances in Thermodynamics Series, Taylor and Francis; 1989.

    Google Scholar 

  19. Cochran, H. D.; Pfund, D. M.; Lee, L. L. Sep. Sci & Tech., 1988, 23, 2031.

    Article  CAS  Google Scholar 

  20. Lee, L. L.; Debenedetti, P. G.; Cochran, H. D. In Supercritical Fluid Technology; Ely, J.F.; Bruno, T.J.; Eds.; Chemical Rubber Co., 1991.

    Google Scholar 

  21. McGuigan, D. B.; Monson, P.A. Fluid Phase Equilibr, 1990, 57, 227.

    Article  CAS  Google Scholar 

  22. Wu, R. S.; 1990 PhD. Dissertation, University of Oklahoma, Norman, OK, 1990.

    Google Scholar 

  23. Wu, R. S.; Lee, L. L.; Cochran, H. D. I&EC Research, 1990 29, 977.

    CAS  Google Scholar 

  24. Wu, R. S.; Lee, L. L.; Cochran, H. D. J. Supercritical Fluids, 1992, 5, 192.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Lee, L.L., Cochran, H.D. (1994). Integral Equations for the Microstructures of Supercritical Fluids. In: Kiran, E., Sengers, J.M.H.L. (eds) Supercritical Fluids. NATO ASI Series, vol 273. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8295-7_14

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-8295-7_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4427-3

  • Online ISBN: 978-94-015-8295-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics