Langmuir monolayers as disordered solids: Strain-state calculations applied to stearic acid

David R. Swanson, Tadeusz Luty, Craig J. Eckhardt

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

This paper presents a calculational procedure to determine the equilibrium phase for a given surface pressure π. The monolayer is treated as orientationally free tails grafted to a two-dimensional net formed by the head groups of the amphiphilic molecules. The head groups form a subsystem with translational degrees of freedom characterized by strain variables in the plane of the surface, and the tail groups compose a subsystem characterized by rotational degrees of freedom. The order in the monolayer derives indirectly from the crystalline head groups through translational-rotational coupling. A stress-strain relation is derived which shows the energetically most favorable path for reorientation of the molecules due to a two-dimensional strain. This set of strain states for a given symmetry (phase) allows a contribution to the strain-state partition function to be computed. It is then straightforward to calculate the strain-state contribution to the free energy for a given phase and estimate the transition temperature between phases.

Original languageEnglish (US)
Pages (from-to)4744-4750
Number of pages7
JournalJournal of Chemical Physics
Volume107
Issue number12
DOIs
StatePublished - Sep 22 1997

Fingerprint

monomolecular films
Monolayers
acids
degrees of freedom
retraining
molecules
partitions
Molecules
transition temperature
free energy
Degrees of freedom (mechanics)
Phase equilibria
Free energy
stearic acid
symmetry
estimates
Crystalline materials

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

Cite this

Langmuir monolayers as disordered solids : Strain-state calculations applied to stearic acid. / Swanson, David R.; Luty, Tadeusz; Eckhardt, Craig J.

In: Journal of Chemical Physics, Vol. 107, No. 12, 22.09.1997, p. 4744-4750.

Research output: Contribution to journalArticle

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