A new equation of state (HSFT) based on fractal theory

Hua Zhao, Ping Li, Pei Sheng Ma

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


This paper describes the molecular distribution of fluids by some fractal characteristics based on the current understandings of microstructures in fluids. The coordination relation was derived according to this fractal model. and the molecular mean potential function for simple square-well fluids was proposed. By applying this new mean potential function, a new equation of state (EOS) named HSFT was derived from statistical mechanics. Vapor pressures and saturated liquid densities of about 200 pure substances were correlated by the proposed model. Resulting equation parameters were further generalized by acentric factor ω and critical compressibility factor Zc. Saturated properties for 180 substances and enthalpies of vaporization for 115 substances, including compounds with strong polarity, were calculated by the generalized HSFT equation. Compared with several other equations of state, satisfactory results computed by HSFT equation imply that the generalized HSFT equation possesses better adaptability and reliability.

Original languageEnglish (US)
Pages (from-to)1155-1195
Number of pages41
JournalChemical Engineering Communications
Issue number9
StatePublished - 2002
Externally publishedYes


  • Equation of state (EOS)
  • Fractal
  • Mean potential
  • Occupation number


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