## root-mean-square end-to-end distance, $$\text{<}r^{2}\text{>}^{1/2}$$

in polymers
https://doi.org/10.1351/goldbook.R05405
The square root of the mean-square end-to-end distance of a @L03556@ 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: $\text{<}r^{2}\text{>}^{1/2} = \sqrt{N}\ L$ The subscript zero is used to indicate unperturbed dimensions, as in $$\text{<}r^{2}\text{>}_{0}^{1/2}$$. If this term is used repeatedly, and if it is not confusing, the abbreviated name 'end-to-end distance' may be used.
Source:
Purple Book, 1st ed., p. 49 [Terms] [Book]