Statistical Mechanics of Chain Molecules

In solution or in the amorphous solid state the geometry of a chain molecule cannot be exactly determined, but only be described by a set of a priori probability distribution functions. Important examples are the distribution of a single dihedral angle the pair distribution function p2( d u 2) and 

Unfortunately, the calculation of the probability in the exact form Eq. (2.1) is a hopeless task. 

A class of theories based mainly on the work of Flory [5] assumes certain simplifications of the energy hypersurface E( R ) which are introduced here in the most elementary form. 

2 Notions and Concepts in Chain Molecules and Quantum Chemistry 

Bond lengths and bond angles are kept constant. 

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Flory P J 1969 Statistical Mechanics of Chain Molecules (New York Wiley-Interscience)... 

Flory P J 1988 Statistical Mechanics of Chain Molecules (Munich Flanser) p 56... 

P. J. Flory, Statistical Mechanics of Chain Molecules Hanser, New York (1989). 

Flory PJ (1969) Statistical mechanics of chain molecules, Wiley lnlerseicnee. New York, chap VIII... 

Rg)cai2 is the calculated radius of gyration with the parameters for PIP, taken from P.J. Flory (Statistical Mechanics of Chain Molecules, Wiley Intersciences, New York 1969) and the assumption of Gaussian chain statistics. 

Flory, P.J. "Statistical Mechanics of Chain Molecules" Wiley Interscience New York, 1969. 

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