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- W2016446475 abstract "Exact methods are developed for calculating second and fourth moments 〈M2〉 and 〈M4〉 of chain molecules, where M= ∑ i=1nmi and mi is a vector associated with Bond i but not necessarily colinear with it. The rotational isomeric‐state approximation is adopted to represent the effects of hindrance potentials affecting bond rotations. No other approximations are invoked in deriving the statistical‐mechanical averages denoted by 〈 〉. Account is taken of neighbor correlations, and the treatment is applicable alike to finite and infinite chains. Illustrative calculations of 〈r2〉/nl2 and of 〈r4〉/n2l4, where r is the end‐to‐end length of the chain, l the bond length, and n the number of bonds, are presented for normal alkane homologs H–(CH2)n–H, throughout the range of n from 1 < n < ∞. The methods are applicable also to chains having any variety of bonds in linear succession." @default.
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- W2016446475 title "Second and Fourth Moments of Chain Molecules" @default.
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