Flory statistics

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

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. 

In polymer theory, the LDT result corresponds to the theory of large chain extensions P. J. Flory, Statistical Mechanics of Chain Molecules, Interscience, New York, 1969. Another mapping exists onto Debye s theory for dielectric properties of molecules with permanent dipoles P. Debye, Polar Molecules, reprinted, Dover, New York, 1958. 

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

The procedure is based on the theory described by P. J. Flory, "Statistical Thermodynamics of Polymer Solutions," Chapter XII, Principles of Polymer Chemistry, Cornell University Press, Ithaca, NY, (1953). 

When the mass fraction of the long-chain hydrocarbon products of the F-T synthesis (W) is plotted against the carbon number (TSf) it is found that W decreases approximately monotonically with molecular size. Thus the major product is the Ci, methane, followed by the C2 hydrocarbons (ethylene and ethane), the C3 hydrocarbons, and so forth, as shown in Figure 15. This distribution follows Schultz-Flory statistics for a polymerization involving the sequential addition of Ci units to a chain, given by the dotted line in Figure 15. Further and more detailed consideration of the mechanisms is in Annex 1. 

Flory Statistics of the Molecular Weight Distribution. The solution to the complete set (j - I to j = 100,000) of coupled-nonlinear ordinary differential equations needed to calculate the distribution is an enormous undertaking even with the fastest computers. However, we can use probability theory to estimate the distribution. This theory was developed by Nobel laureate Paul Floty. We have shown that for step ipolymeiization and for free radical polymerization in which termination is by disproportionation the mole fraction of polymer -with chain length j is... 

Flory Statistical Mechanics of Chain Molecules. New York Wiley-Interscience 1969. S3I Ponnuswamy, P. K. Thesis. India University of Madras 1970. 

CDP7-Jb polymerization. Plot disU ibution of molecular weight using Flory statistics. [3rd Ed. P7-15]... 

CDP7-P, Use Flory statistics for molecular weight distribution. [3rd Ed. P7-2IJ... 

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