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Theory of Systems of Rodlike Particles: I. Athermal systems

Authors :
P. J. Flory
G. Ronca
Source :
Molecular Crystals and Liquid Crystals. 54:289-309
Publication Year :
1979
Publisher :
Informa UK Limited, 1979.

Abstract

An improved treatment of the lattice model proposed in 1956 is presented for a system of hard rods, with axial ratio x, dispersed in a diluent. Interparticle forces, apart from repulsions on contact, are deliberately ignored within the scope of the present paper. The equilibrium distribution of orientations of the rodlike particles in a phase with nematic order is derived and explicitly taken into account. Thermodynamic properties in the asymptotic limit of high degree of order reduce approximately. to those obtained previously. Calculations carried out for equilibrium between anistropic (nematic) and isotropic phases yield ν′x/νx = 1.4653 for the ratio of volume fractions in the respective phases in the limit x → ∞. The product xνx, expressing the combined covolume of solute species in the isotropic phase at coexistence is 7.89 in the same limit. The calculated critical value of the axial ratio for coexistence of the two phases in the neat liquid is xcrit, = 6.417. Results are compared with thos...

Details

ISSN :
00268941
Volume :
54
Database :
OpenAIRE
Journal :
Molecular Crystals and Liquid Crystals
Accession number :
edsair.doi...........f0bb2410c051acb02a6d54f2c3e61aaa
Full Text :
https://doi.org/10.1080/00268947908084861