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Theory of Polymers in Poor Solvent: Phase Equilibrium and Nucleation Behavior

Wang, Rui and Wang, Zhen-Gang (2012) Theory of Polymers in Poor Solvent: Phase Equilibrium and Nucleation Behavior. Macromolecules, 45 (15). pp. 6266-6271. ISSN 0024-9297. doi:10.1021/ma301049m. https://resolver.caltech.edu/CaltechAUTHORS:20120926-114840182

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Abstract

We study the phase equilibrium and nucleation behavior of polymers in poor solvent by accounting for the large, localized fluctuations in the form of single-chain globules and multichain clusters. The density profile and free energy of the single-chain globule and multichain clusters are obtained by self-consistent-field theory. This information is then used in the dilute solution thermodynamics to investigate the equilibrium cluster size distribution, solubility limit, and nucleation in the supersaturated state. Our results show that the solubility of the polymer in the dilute side of the solution is enhanced by several orders of magnitude relative to the prediction of the Flory–Huggins (F–H) theory, which scales with the chain length to the 2/3 power rather than a linear power as predicted from the F–H theory. Our results also suggest a higher critical value of χ, consistent with computer simulation and experiment results. In the supersaturated state, we work out an effective spinodal where the nucleation barrier to phase separation via growth of the clusters becomes comparable to the thermal energy k_(B)T. For a given supersaturation, we find that the nucleation barrier is quadratic in the chain length, suggesting a much slower precipitation rate for longer polymer chains.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1021/ma301049mDOIArticle
http://pubs.acs.org/doi/abs/10.1021/ma301049mPublisherArticle
ORCID:
AuthorORCID
Wang, Zhen-Gang0000-0002-3361-6114
Additional Information:© 2012 American Chemical Society. Received: May 22, 2012; Revised: July 14, 2012; Published: July 24, 2012. This work is in part supported by the National Science Foundation through MRSEC-CALTECH, and in part supported by NSF Grant No. CHE-1040558.
Funders:
Funding AgencyGrant Number
NSFCHE-1040558
Issue or Number:15
DOI:10.1021/ma301049m
Record Number:CaltechAUTHORS:20120926-114840182
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20120926-114840182
Official Citation:Theory of Polymers in Poor Solvent: Phase Equilibrium and Nucleation Behavior Rui Wang and Zhen-Gang Wang Macromolecules 2012 45 (15), 6266-6271
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:34463
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:26 Sep 2012 23:14
Last Modified:09 Nov 2021 23:08

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