DOI: 10.1098/rspa.1975.0077. The effect of excluded volume on polymer dispersant action

The effect of excluded volume on polymer dispersant action

10.1098/rspa.1975.0077

Crossref journal-article

The Royal Society

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (175)

Abstract

Polymer-stabilized colloid particles are modelled theoretically by plane surfaces on to which polymer chains are adsorbed by one end only. Interactions between segments of the polymer are treated as an excluded volume effect. It is shown that for high surface densities the polymer distribution function exactly satisfies a one dimensional equation which is solved numerically for two values of excluded volume to give the polymer segment density distributions and the free energy of interaction for various separations of the plane surfaces. It is found that a positive value of excluded volume greatly increases the repulsive free energy compared with that for chains with zero excluded volume, particularly at large separation distances of the surfaces. Excluded volume effects must therefore play an important part in the stabilization of colloids by adsorbed polymer.

Bibliography

The effect of excluded volume on polymer dispersant action. (1975). Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 343(1635), 427â442.

Authors 0

None

References 20 Referenced 116

Abramowitz M. & Stegun I. A. 1956 Handbook 0/ mathematicalfunctions. New York: Dover
des Cloizeaux J. 1970
Dolan A. K. & Edwards S. F. 1974 Proc. R.
J.Phys. (Paris) 31 715-736. Lond. A 337 509.
10.1016/0021-9797(73)90352-4
10.1088/0370-1328/85/4/301
10.1088/0305-4470/2/2/001
Flory P. J. 1953 Principles of polymer chemistry. New York: Cornell University Press.
Fox L. 1962 Numerical solution of ordinary and partial differential equations. Oxford: Pergamon. (10.1016/B978-0-08-009660-5.50013-0)
10.1088/0034-4885/32/1/304
Helfand E. & Tagami Y. 1971 Polymer Lett. 9 741. (10.1002/pol.1971.110091006)
{'key': 'p_12', 'first-page': '1812', 'article-title': 'J. chem', 'volume': '57', 'author': 'Helfand E.', 'year': '1972', 'journal-title': 'Phys.'} / Phys. / J. chem by Helfand E. (1972)
{'key': 'p_13', 'first-page': '3488', 'article-title': 'J. phys', 'volume': '73', 'author': 'Hesselink F. Th.', 'year': '1969', 'journal-title': 'Chem.'} / Chem. / J. phys by Hesselink F. Th. (1969)
Hesselink F. Th. 1971 J. phys. chem. 75 65-71. (10.1021/j100671a011)
{'key': 'p_15', 'first-page': '2101', 'article-title': 'J. chem', 'volume': '42', 'author': 'Di Marzio E. A.', 'year': '1965', 'journal-title': 'Phys.'} / Phys. / J. chem by Di Marzio E. A. (1965)
{'key': 'p_16', 'first-page': '1861', 'article-title': 'J. phys', 'volume': '71', 'author': 'Meier D. J.', 'year': '1967', 'journal-title': 'Chem.'} / Chem. / J. phys by Meier D. J. (1967)
10.1039/tf9686401701
Ottewill R. H. 1967 Stability of dispersions. In Nonionic surfactants (ed. M. J. Schick). London: Edward Arnold.
Yolkenstein M. V. 1963 Configurational statistics of polymeric chains. New York: Interscience.
Yamakawa H. 1971 Modern theory of polymer solutions. New York: Harper and Row.

Dates

Type	When
Created	18 years, 8 months ago (Dec. 15, 2006, 4:46 p.m.)
Deposited	4 years, 6 months ago (Feb. 14, 2021, 6:22 p.m.)
Indexed	3 weeks, 5 days ago (July 28, 2025, 2:51 a.m.)
Issued	50 years, 2 months ago (May 27, 1975)
Published	50 years, 2 months ago (May 27, 1975)
Published Online	28 years, 7 months ago (Jan. 1, 1997)
Published Print	50 years, 2 months ago (May 27, 1975)

Funders 0

None

BibTeX

@article{1975, volume={343}, ISSN={0080-4630}, url={http://dx.doi.org/10.1098/rspa.1975.0077}, DOI={10.1098/rspa.1975.0077}, number={1635}, journal={Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences}, publisher={The Royal Society}, year={1975}, month=may, pages={427–442} }

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