Colloid and Polymer Science

, Volume 272, Issue 3, pp 332–337 | Cite as

Cubic equations of state for adsorption layer: alkylthiopolyoxyethylene glycols

  • S. Kucharski
Original Contributions


The van der Waals, Redlich-Kwong, Peng-Robinson and an equation of state derived by Smith were applied to approximate the run of surface pressure (Π) — area (σ) curves of the adsorption layer ofn-pentyl ton-octyl thioethers of tri- and tetraoxyethylene glycols. The equation parameters: excluded molar area (σoi) and an interaction energy term (ai) were determined by simplex method for Π values in the range of 2–23.5 mN/m. The equations parameters were found to be related to the structure of the amphiphile. The σoi decreased with the length of hydrocarbon thioether chain and was nearly uniform for equations of state in question except for Smith equation. The value ofai was dependent on the amphiphile structure. It was used to obtain the interaction energy ɛi between amphiphiles in the adsorption layer. The values of αi determined as an increment per methylene group was in the range of ca. 0.2–0.32R*T, depending on the equation of state used.

Key words

Adsorption layer equations of state nonionic surfactants alkylthiopolyoxyethylene glycols 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Jaycock MJ, Parfitt GD (1981) Chemistry of Interfaces. Ellis Horwood, Chichester (West Sussex)Google Scholar
  2. 2.
    Smith T (1967) J Colloid Interface Sci 23:27Google Scholar
  3. 3.
    Saraga L, Prigogine I (1953) Mem Serv Chim de l'Etat 38:109Google Scholar
  4. 4.
    Hedge DG (1957) J Colloid Sci 12:417Google Scholar
  5. 5.
    Schoefield RH, Rideal EK (1925) Proc Royal Soc London A 109:57Google Scholar
  6. 6.
    Gabrielli G, Senatra D, Caminati G, Guarini G (1988) Colloid Polymer Sci 266:823Google Scholar
  7. 7.
    Kucharski S, Sokolowski A, 271:230Google Scholar
  8. 8.
    Kucharski S, Sokolowski A (1991) J Colloid Interface Sci 146:434Google Scholar
  9. 9.
    Redlich O, Kwong JNS (1949) Chem Rev 44:233Google Scholar
  10. 10.
    Peng D-Y, Robinson DB (1976) Ind Eng Chem Fundam 15:59Google Scholar
  11. 11.
    Reiss H, Frisch HL, Lebowitz JL (1959) J Chem Phys 34:369Google Scholar
  12. 12.
    Nelder JA, Mead R (1964) Computer J 7:308Google Scholar
  13. 13.
    Valko P, Vajda S (1989) Advanced Scientific Computing in BASIC with Applications in Chemistry, Biology and Pharmacology. Elsevier (Amsterdam)Google Scholar
  14. 14.
    Aveyard R, Chapman J (1975) 53:916Google Scholar
  15. 15.
    Hirschfelder JO, Curtiss CF, Birdi RB (1954) Molecular Theory of Gases and Liquids. Wiley, New YorkGoogle Scholar
  16. 16.
    Lin SY, McKeigue K, Maldreilli G (1991) Langmuir 7:1055Google Scholar

Copyright information

© Steinkopff-Verlag 1994

Authors and Affiliations

  • S. Kucharski
    • 1
  1. 1.Institute of Organic and Polymer TechnologyWroclaw Technical UniversityWroclawPoland

Personalised recommendations