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most probable distribution (in macromolecular assemblies)

A discrete distribution with the differential mass-distribution function of the form:
f w x = a 2 x ( 1 − a ) x − 1
where x is a parameter characterizing the chain length, such as relative molecular mass or degree of polymerization and a is a positive adjustable parameter. For large values of x, the most probable distribution converges to the particular case of the Schulz–Zimm distribution with b = 1. In the literature, this distribution is sometimes referred to as the Flory distribution or the Schulz–Flory distribution.
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IUPAC. Compendium of Chemical Terminology, 2nd ed. (the "Gold Book"). Compiled by A. D. McNaught and A. Wilkinson. Blackwell Scientific Publications, Oxford (1997). XML on-line corrected version: http://goldbook.iupac.org (2006-) created by M. Nic, J. Jirat, B. Kosata; updates compiled by A. Jenkins. ISBN 0-9678550-9-8. doi:10.1351/goldbook.
Last update: 2014-02-24; version: 2.3.3.
DOI of this term: doi:10.1351/goldbook.M04035.
Original PDF version: http://www.iupac.org/goldbook/M04035.pdf. The PDF version is out of date and is provided for reference purposes only. For some entries, the PDF version may be unavailable.
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