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Statistical Mechanics of Swelling of Network Structures
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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Citations
Cites
Theory of the elastic properties of rubber
James, H. M., & Guth, E. (1943) · The Journal of Chemical Physics · doi:10.1063/1.1723785 · Cited by 1,230
Cited by
Hydrogels in pharmaceutical formulations
Peppas, N. (2000) · European Journal of Pharmaceutics and Biopharmaceutics · doi:10.1016/s0939-6411(00)00090-4 · Cited by 4,011
Polymer Networks: From Plastics and Gels to Porous Frameworks
Gu, Y., Zhao, J., & Johnson, J. A. (2020) · Angewandte Chemie International Edition · doi:10.1002/anie.201902900 · Cited by 388
Polyelectrolyte gels in salt solutions
Katchalsky, A., & Michaeli, I. (1955) · Journal of Polymer Science · doi:10.1002/pol.1955.120157906 · Cited by 320
Large Strain and Fracture Properties of Poly(dimethylacrylamide)/Silica Hybrid Hydrogels
Lin, W.-C., Fan, W., Marcellan, A., Hourdet, D., & Creton, C. (2010) · Macromolecules · doi:10.1021/ma901937r · Cited by 314
Gelatin methacryloyl hydrogel, from standardization, performance, to biomedical application
He, J., Sun, Y., Gao, Q., He, C., Yao, K., Wang, T., Xie, M., Yu, K., Nie, J., Chen, Y., et al. (2023) · Advanced Healthcare Materials · doi:10.1002/adhm.202300395 · Cited by 275
Metadata
- Authors
- Flory, P. J.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- 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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- 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.