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

  • I. A. Tarchevsky
  • G. N. Marchenko
Part of the Heidelberger Lehrtexte Wirtschaftswissenschaften book series (HLW)


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
$$h_f^2 = P\left[ {{d^2} + {{\left( {2b} \right)}^2} + \left( {1 + \cos v} \right)/\left( {1 - \cos v} \right)} \right]$$
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.


Monomer Unit Intrinsic Viscosity Kerr Effect Cellulose Derivative Optical Anisotropy 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • I. A. Tarchevsky
    • 1
  • G. N. Marchenko
  1. 1.Institute of BiologyUSSR Academy of SciencesKazanUSSR

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