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Equations for Calculating Chain Length Distributions in Polyphosphoric Acids and Polyphosphate Glasses
Author(s) -
WESTMAN A. E. R.,
BEATTY R.
Publication year - 1966
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1966.tb13209.x
Subject(s) - polyphosphate , thermodynamics , polymer , chain (unit) , bifunctional , condensation , monomer , distribution (mathematics) , smoothing , materials science , chemistry , mathematics , statistical physics , polymer science , phosphate , physics , organic chemistry , mathematical analysis , statistics , catalysis , astronomy
The Flory distribution of molecular weights of linear polymers resulting from the condensation of bifunctional monomers was used by Van Wazer to calculate the constitutions of thepoly phosphoric acids. Jost and Wodtcke proposed a modification to the Van Wazer approach for sodium phosphate glasses. By modifying and extending these ideas, it is shown that, by using a few empirical parameters, it is possible to calculate chain length distributions for polyphosphoric acids and polyphosphate glasses, which give a satisfactory fit to available data. These distributions are useful for smoothing and extrapolating data and for emphasizing deviations from the Flory distributions taken as “ideal”.