Cellulose: Biosynthesis and Structure pp 174-209 | Cite as

# Equilibrium and Kinetic Rigidity of the Cellulose Macromolecular Chain and Some of its Derivatives in Solution

Chapter

## 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
where

*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-C_{1}and O-C_{4}bonds, the mean square distance between its ends \(h_f^2\) is equal to$$h_f^2 = P\left[ {{d^2} + {{\left( {2b} \right)}^2} + \left( {1 + \cos v} \right)/\left( {1 - \cos v} \right)} \right]$$

(5.1)

*P*is the number of monomer units in the chain, (π -*v*) is the valent angle between adjacent bonds O-C_{1}and O-C_{4}. 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.## Keywords

Monomer Unit Intrinsic Viscosity Kerr Effect Cellulose Derivative Optical Anisotropy
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag Berlin Heidelberg 1991