IUPAC - logarithmic normal distribution (L03611)

logarithmic normal distribution

of a macromolecular assembly

https://doi.org/10.1351/goldbook.L03611

A continuous distribution with the differential mass-distribution function of the form:

f_{w} (x) d x = \frac{1}{a \sqrt{π x}} \exp (- \frac{1}{a^{2}} \ln^{2} \frac{x}{b}) d x

where

x

is a parameter characterizing the chain length, such as relative molecular mass or degree of polymerization and

a

and

b

are positive adjustable parameters.

Source:
Purple Book, 1^st ed., p. 57 [Terms] [Book]

Citation: 'logarithmic normal distribution' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. https://doi.org/10.1351/goldbook.L03611 RIS BibTex EndNote

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Last revised: February 24, 2014

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logarithmic normal distribution