1987Journal of Physics C Solid State PhysicsOpen access

Coordinance of a spherical impurity in a disordered packing of equal spheres

J.P. Troadec, A. Gervois, Daniel Bideau, Luc Oger

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Abstract

The authors have studied, by numerical simulations, packings of equal spheres with radius R, built on the surface of a central sphere with radius R'=kR. The packing fraction of those 2D packings does not vary with k. From that result, the authors derive the mean coordinance and the distribution of values of the coordinance of a sphere with radius R' in a 3D packing of equal spheres with radius R.

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The authors have studied, by numerical simulations, packings of equal spheres with radius R, built on the surface of a central sphere with radius R'=kR. The packing fraction of those 2D packings does not vary with k. From that result, the authors derive the mean coordinance and the distribution of values of the coordinance of a sphere with radius R' in a 3D packing of equal spheres with radius R.

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Available abstract

The authors have studied, by numerical simulations, packings of equal spheres with radius R, built on the surface of a central sphere with radius R'=kR. The packing fraction of those 2D packings does not vary with k. From that result, the authors derive the mean coordinance and the distribution of values of the coordinance of a sphere with radius R' in a 3D packing of equal spheres with radius R.

Key concepts: SPHERES, RADIUS, Atomic packing factor, Hard spheres, Impurity, Sphere packing, Geometry, Physics

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