Critical compressibility factors for chain molecules

L. Lue, D.G. Friend, J.R. Elliott

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

For many proposed equations of state for fluids composed of chain-like molecules, the compressibility factor is related to the chain number concentration only through the total monomer concentration. For these theories, the virial coefficients do not scale correctly with the chain molecular weight in the long chain limit, which can lead to a poor description of the phase diagram. In addition, for equations of state that are analytical at the critical point, it is found that the critical compressibility factor approaches 1/3 in the limit of infinitely long chains, contrary to experimental trends. Appropriate scaling leads to the proper trend for the compressibility factor,as demonstrated with a simple equation.
LanguageEnglish
Pages1473-1477
Number of pages5
JournalMolecular Physics
Volume98
Issue number18
DOIs
Publication statusPublished - Sep 2000

Fingerprint

Compressibility
compressibility
Molecular Weight
Equations of state
Molecules
molecules
equations of state
Phase diagrams
trends
Monomers
Molecular weight
virial coefficients
Fluids
molecular weight
critical point
monomers
phase diagrams
scaling
fluids

Keywords

  • polymer-solutions
  • equation
  • fluids
  • state
  • simulation
  • universality
  • equilibria

Cite this

Lue, L. ; Friend, D.G. ; Elliott, J.R. / Critical compressibility factors for chain molecules. In: Molecular Physics. 2000 ; Vol. 98, No. 18. pp. 1473-1477.
@article{3ef3c8f2df824c169ff4c8ba1ef51fa8,
title = "Critical compressibility factors for chain molecules",
abstract = "For many proposed equations of state for fluids composed of chain-like molecules, the compressibility factor is related to the chain number concentration only through the total monomer concentration. For these theories, the virial coefficients do not scale correctly with the chain molecular weight in the long chain limit, which can lead to a poor description of the phase diagram. In addition, for equations of state that are analytical at the critical point, it is found that the critical compressibility factor approaches 1/3 in the limit of infinitely long chains, contrary to experimental trends. Appropriate scaling leads to the proper trend for the compressibility factor,as demonstrated with a simple equation.",
keywords = "polymer-solutions, equation, fluids, state, simulation, universality, equilibria",
author = "L. Lue and D.G. Friend and J.R. Elliott",
note = "English Article 352KE MOL PHYS",
year = "2000",
month = "9",
doi = "10.1080/002689700417583",
language = "English",
volume = "98",
pages = "1473--1477",
journal = "Molecular Physics",
issn = "0026-8976",
number = "18",

}

Critical compressibility factors for chain molecules. / Lue, L.; Friend, D.G.; Elliott, J.R.

In: Molecular Physics, Vol. 98, No. 18, 09.2000, p. 1473-1477.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Critical compressibility factors for chain molecules

AU - Lue, L.

AU - Friend, D.G.

AU - Elliott, J.R.

N1 - English Article 352KE MOL PHYS

PY - 2000/9

Y1 - 2000/9

N2 - For many proposed equations of state for fluids composed of chain-like molecules, the compressibility factor is related to the chain number concentration only through the total monomer concentration. For these theories, the virial coefficients do not scale correctly with the chain molecular weight in the long chain limit, which can lead to a poor description of the phase diagram. In addition, for equations of state that are analytical at the critical point, it is found that the critical compressibility factor approaches 1/3 in the limit of infinitely long chains, contrary to experimental trends. Appropriate scaling leads to the proper trend for the compressibility factor,as demonstrated with a simple equation.

AB - For many proposed equations of state for fluids composed of chain-like molecules, the compressibility factor is related to the chain number concentration only through the total monomer concentration. For these theories, the virial coefficients do not scale correctly with the chain molecular weight in the long chain limit, which can lead to a poor description of the phase diagram. In addition, for equations of state that are analytical at the critical point, it is found that the critical compressibility factor approaches 1/3 in the limit of infinitely long chains, contrary to experimental trends. Appropriate scaling leads to the proper trend for the compressibility factor,as demonstrated with a simple equation.

KW - polymer-solutions

KW - equation

KW - fluids

KW - state

KW - simulation

KW - universality

KW - equilibria

U2 - 10.1080/002689700417583

DO - 10.1080/002689700417583

M3 - Article

VL - 98

SP - 1473

EP - 1477

JO - Molecular Physics

T2 - Molecular Physics

JF - Molecular Physics

SN - 0026-8976

IS - 18

ER -