Comparing the Flory Approach with the DiMarzio Theory of the Statistical Mechanics of Rodlike Particles

Walter R. Romanko, Stephen H. Carr

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Three descriptions of the rod orientation in the Flory lattice model for rods (generalized to a continuum) are compared in an athermal system with the more accurate DiMarzio model for rodlike particles in a continuum. The Flory-type rod orientation distribution functions yield distributions quite similar to the DiMarzio distribution. The Flory-type distribution function obtained from the rod orientation expression (y-1) = (x-1) sin θ can be used in the DiMarzio entropy equation at a calculational advantage to yield entropies which are virtually indistinguishable from the original. Flory-type nematic and isotropic entropies differ from the DiMarzio entropies, giving slightly different phase equilibria. A solution to the “entropy catastrophe” for rods is explained in terms of the improper use of a one-dimensional boundary condition in the third dimension.

Original languageEnglish (US)
Pages (from-to)2243-2249
Number of pages7
JournalMacromolecules
Volume21
Issue number7
DOIs
StatePublished - Jul 1988

ASJC Scopus subject areas

  • Organic Chemistry
  • Polymers and Plastics
  • Inorganic Chemistry
  • Materials Chemistry

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