Lattice Model Treatments of the Formation of Ordered Phases in Stiff Chain Polymer-Diluent Systems

Wee, Elizabeth L.; Miller, Wilmer G.

doi:10.1007/978-1-4615-8888-7_26

Elizabeth L. Wee³ &
Wilmer G. Miller³

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Abstract

The Flory-Huggins lattice treatment has been the cornerstone for many years for understanding the solution thermodynamics of flexible polymers. The effect of chain stiffness was investigated by Flory, again using a lattice approach,^1,2 where the stability of both ordered and disordered phases was considered. The phase equilibria for a rigid rod-diluent system, plotted as the volume fraction v_i, are shown in Figure 1 for a rod of 150 axial ratio, where χ is the van Laar polymer-solvent heat of mixing parameter. Alternatively, χ may be looked upon as proportional to the excess free energy of mixing.

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References

P. J. Flory, Proc. Roy. Soc. (London) A234, 60 (1956).
Article CAS Google Scholar
P. J. Flory, Proc. Roy. Soc. (London) A234, 73 (1956).
Article CAS Google Scholar
E. L. Wee and W. G. Miller, J. Phys. Chem., 75, 1446 (1971).
Article Google Scholar
W. G. Miller, J. H. Rai and E. L. Wee, in Ordered Fluids and Liquid Crystals, Vol. 2, R. Porter and J. Johnston, eds., Plenum Publ. Corp., 1974, p. 243.
Chapter Google Scholar
W. G. Miller, C. C. Wu, E. L. Wee, G. L. Santee, J. H. Rai, and K. D. Goebel, Pure and Applied Chem., 38, 37 (1974).
Article CAS Google Scholar
C. C. Wu, Ph.D. thesis, U. of Minn., 1973.
Google Scholar
W. G. Miller, L. Kou, K. Tohyama and V. Voltaggio, J. Polymer Sci., Symposium 58, in press.
Google Scholar
J. W. Cahn, J. Chem. Phys., 42, 93 (1965).
Article CAS Google Scholar
P. J. Flory and W. J. Leonard, J. Amer. Chem. Soc., 87, 2102 (1965).
Article CAS Google Scholar
J. H. Rai and W. G. Miller, Macromolecules, 5, 45 (1972).
Article CAS Google Scholar
J. H. Rai and W. G. Miller, Macromolecules, 6, 257 (1973).
Article CAS Google Scholar

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Authors and Affiliations

Department of Chemistry, University of Minnesota, Minneapolis, Minnesota, 55455, USA
Elizabeth L. Wee & Wilmer G. Miller

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Elizabeth L. Wee
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Wilmer G. Miller
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Editors and Affiliations

Institute of Materials Science, University of Connecticut, Storrs, Connecticut, 06268, USA
Julian F. Johnson
Materials Research Laboratory Department of Polymer Science and Engineering, University of Massachusetts, Amherst, Massachusetts, 01002, USA
Roger S. Porter

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Wee, E.L., Miller, W.G. (1978). Lattice Model Treatments of the Formation of Ordered Phases in Stiff Chain Polymer-Diluent Systems. In: Johnson, J.F., Porter, R.S. (eds) Liquid Crystals and Ordered Fluids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8888-7_26

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DOI: https://doi.org/10.1007/978-1-4615-8888-7_26
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4615-8890-0
Online ISBN: 978-1-4615-8888-7
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