Abstract
Cellulose and its derivatives are the classic examples of macromolecules characterized by enhanced skeleton rigidity. This property is directly deduced from the configuration of its molecular chain presented in Fig. II.30. In order to calculate the statistic dimensions of the chain, its monomer unit can be substituted by an equivalent “effective” unit [68] consisting of two parallel bonds b = 2.7 Å around which the rotation takes place and a single bond d = 1.45 Å perpendicular to the two previous ones where rotation is excluded. It has been shown, using this scheme, [68] that, for a rather long chain on full freedom of rotation around O-C1 and O-C4 bonds, the mean square distance between its ends \(h_f^2\) is equal to
where P is the number of monomer units in the chain, (π - v) is the valent angle between adjacent bonds O-C1 and O-C4. Substituting b and d values and assuming v = 70° we obtain \(h_f^2 = 62P \times {10^{ - 6}}\) and for a segment length of cellulose chain with full freedom of rotation.
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© 1991 Springer-Verlag Berlin Heidelberg
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Tarchevsky, I.A., Marchenko, G.N. (1991). Equilibrium and Kinetic Rigidity of the Cellulose Macromolecular Chain and Some of its Derivatives in Solution. In: Cellulose: Biosynthesis and Structure. Heidelberger Lehrtexte Wirtschaftswissenschaften. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75474-6_16
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DOI: https://doi.org/10.1007/978-3-642-75474-6_16
Publisher Name: Springer, Berlin, Heidelberg
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