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Cited by 1,145

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Statistical Mechanics of Swelling of Network Structures

Flory, Paul J.·1950·The Journal of Chemical Physics

Abstract

Inaccuracies in previously published theories dealing with the swelling of network polymers in solvents are pointed out. The treatment of Flory and Rehner, based on the tetrahedral model, is overly restrictive and leads to an entropy of swelling which is too small. A more recent treatment of Kuhn, Pasternak, and Kuhn introduces an error in the opposite direction. In the present paper the entropy of swelling a network of any degree of connectivity, or functionality f, is derived in a manner which avoids these inaccuracies. Corrected relationships are given for the partial molal-free energy of dilution, swelling equilibrium and the influence of deformation on swelling equilibrium. These differ appreciably from those previously given when the degree of interlinking (i.e., concentration of cross linkages if f=4) is large and the equilibrium degree of swelling therefore is small. Previous expressions for elastic deformation at constant volume are unaffected.

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Metadata

Authors
Flory, P. J.
Venue
The Journal of Chemical Physics
Published
1950-01-01
Volume
18
Issue
1
Pages
108-111
ISSN
  • 0021-9606 (ISSN-L)
  • 1089-7690
OpenAlex
W2002899682
Cited by
1,145
References
1
FWCI
39.53
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Statistical Mechanics of Swelling of Network Structures. https://app.cochat.ai/papers/10.1063/1.1747424
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Flory, P. J. (1950). Statistical Mechanics of Swelling of Network Structures. The Journal of Chemical Physics. https://doi.org/10.1063/1.1747424

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.