1971
DOI: 10.1063/1.1675527
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Shape of a Random-Flight Chain

Abstract: An analysis is made of the distribution function and its moments for a linear combination of three randomly chosen orthogonal components of the so-called radius of gyration of an unrestricted random-flight chain, and certain averages of moments are obtained of the three-dimensional distribution W (L12L22L32), where L1 ≤ L2 ≤ L3 are the orthogonal components of the radius of gyration along the principal axes of inertia of the chain. The strong departures of the chain shape from spherical symmetry indicated by t… Show more

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Cited by 286 publications
(146 citation statements)
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“…The description of the geometrical properties of complex systems by generalized parameters such as the radius of gyration or principal components of the gyration tensor has a long history in macromolecular chemistry and biophysics [24,36,37]. Indeed, such descriptors allow an evaluation of the overall shape of a system and reveal its symmetry.…”
Section: System Characterisation: Droplets and Nanoparticlesmentioning
confidence: 99%
“…The description of the geometrical properties of complex systems by generalized parameters such as the radius of gyration or principal components of the gyration tensor has a long history in macromolecular chemistry and biophysics [24,36,37]. Indeed, such descriptors allow an evaluation of the overall shape of a system and reveal its symmetry.…”
Section: System Characterisation: Droplets and Nanoparticlesmentioning
confidence: 99%
“…The description of the geometrical properties of complex systems by generalized parameters such as the radius of gyration or principal components of the gyration tensor has a long history in macromolecular chemistry and biophysics [33,34]. Indeed, such descriptors allow an evaluation of the overall shape of a system (spherical, oblate, or prolate) and reveal its symmetry.…”
Section: Droplet Characteristicsmentioning
confidence: 99%
“…Star polymers with small arm numbers (f = 1, 2) resemble linear polymers. Thus, their configurations show a considerable asphericity [8][9][10], although their chain-averaged number density of monomers, φ(r), is spherically symmetric around the center of mass of the polymer. With increasing arm number f , the asphericity of the stars has been shown to decrease considerably [11][12][13][14][15][16][17][18][19], leading to "stiff" spherical particles in the limit of high f .…”
Section: Introductionmentioning
confidence: 99%