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r 2
nl 2 . Note that
show that
,
.5
3 = 2
ð
ð N
1
4
2
3
r 4 e 2 3r 2
nl 2
5 = 2
2nl 2 dr
Þ
5
;
π
0
(c) Calculate the most probable end-to-end distance of the chain depicted
in part (a);
(d) What is the characteristic ratio of the polymer molecules that can be
described by the Gaussian chain model?
References
[1] P.J. Flory, Principles of Polymer Chemistry, Cornell University Press, Ithaca, NY, 1953.
[2] J.A. Brydson, Plastic Materials, seventh ed., Butterworths, London, 1999.
[3] H.F. Mark, Am. Sci. 55 (1967) 265.
[4] W.V. Metanomski (Ed.), Compendium of Macromolecular Nomenclature, Blackwell
Scientific Publications, Oxford, UK, 1991.
[5] W. Ring, I. Mita, A.D. Jenkins, M. Bikales, “Source-Based Nomenclature for Copolymers,”
Pure Appl. Chem. 57, 1427 (1985).
[6] IUPAC Macromol. Chem. Div. (IV), Commission on Macromol. Nomenclature,
Polym. Bull. 32 (1994) 125.
[7] J.C. Randall, Polymer Sequence Determination, Academic Press, New York, 1977.
[8] T. Radiotis, G.R. Brown (Eds.), J. Chem., 72, 1995.
[9] W.L. Mattice, U.W. Suter, Conformational Theory of Large Molecules: The Rotational
Isomeric State Model in Macromolecular Systems, Wiley Interscience, New York,
1994.
[10] W. Kuhn, Kolloid-Z., 76 (1936) 258; 87 (1939) 3.
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