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Internet Electronic Journal of Molecular Design - IEJMD, ISSN 1538-6414, CODEN IEJMAT
| ABSTRACT - Internet Electron. J. Mol. Des. December 2003, Volume 2, Number 12, 768-782 |
Polymer Chain Dimension from Rotational Angle Scaling of its Monomeric Units
Stefano A. Mezzasalma, Carmela Angioletti, and Attilio Cesàro
Internet Electron. J. Mol. Des. 2003, 2, 768-782
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Abstract:
This paper investigates the possibility of interpreting the usual
scaling concept in polymer physics in terms of geometry alone.
We proposed already to regard a macromolecule as a geometrical
transition, where quantities defining the monomer shape are
scaling with the length scale itself up to get to the polymer
conformation. Here, square-well conformational energies of
different widths and well-known rotational isomeric state of
different statistical weights are taken into consideration to model
the characteristic ratio as a circle map about torsional angle
rotations. The macromolecular system chosen for the present
investigation is the polyvinyl chain. The polymer chain
characteristic ratio of has been described as it comes from
torsional rotations on a circle located at the single unit scale. The
polymer size scaling is interpreted in terms of angular variables
at the dimer scale and, more generally, polymer statistics is
provided with a merely geometrical reading key.
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