2008
DOI: 10.1063/1.2991413
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A formula for the minimal coordination number of a parallel bundle

Abstract: An exact formula for the minimal coordination numbers of the parallel packed bundle of rods is presented based on an optimal thickening scenario. Hexagonal and square lattices are considered.

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Cited by 4 publications
(2 citation statements)
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References 28 publications
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“…For simplicity, the rods at every folding number n were treated as cylinders with length of l n and a radius of r n (Scheme ). The series of r n (Table ) were obtained from peripheral length of the bundled folded DNA (as the shortest distance formed by a tight string around the bundle) (Figure S1) divided by 2π, with DNA interhelical spacing being 3.04 nm according to small-angle X-ray scattering (SAXS) measurement for PLys/DNA complexes . Thereafter, core surface area of the folded pDNA at folding number n ( A n ) (Table ) was given by the surface of the cylinder side plus the area of both of its ends, A n = [ l n × 2 π r n false] + 2 false[ π r n 2 ] …”
Section: Resultsmentioning
confidence: 99%
“…For simplicity, the rods at every folding number n were treated as cylinders with length of l n and a radius of r n (Scheme ). The series of r n (Table ) were obtained from peripheral length of the bundled folded DNA (as the shortest distance formed by a tight string around the bundle) (Figure S1) divided by 2π, with DNA interhelical spacing being 3.04 nm according to small-angle X-ray scattering (SAXS) measurement for PLys/DNA complexes . Thereafter, core surface area of the folded pDNA at folding number n ( A n ) (Table ) was given by the surface of the cylinder side plus the area of both of its ends, A n = [ l n × 2 π r n false] + 2 false[ π r n 2 ] …”
Section: Resultsmentioning
confidence: 99%
“…[117][118][119][120][121] We also want to mention that, although locally the lattice of wrapped DNA preserves the hexagonal symmetry to maximize the attraction energy gain from intermolecular contacts, the path taken by a continuous long DNA strand upon wrapping in toroids is still under debate. 122,123 A similar question emerges for DNA packing inside the viral capsids, see section 12.…”
Section: Dna Toroidal Condensationmentioning
confidence: 99%