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root-mean-square end-to-end distance, < r 2 > 1 / 2

in polymers
The square root of the mean-square end-to-end distance of a linear polymer chain averaged over all conformations of the chain. For a freely jointed chain consisting of N segments each of length L, it is given by:
< r 2 > 1 / 2 = N L
The subscript zero is used to indicate unperturbed dimensions, as in < r 2 > 0 1 / 2. If this term is used repeatedly, and if it is not confusing, the abbreviated name 'end-to-end distance' may be used.
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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.R05405.
Original PDF version: http://www.iupac.org/goldbook/R05405.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 The PDF version is out of date and is provided for reference purposes only.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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