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math-ph2017★ 12 cited
Optimal lattice configurations for interacting spatially extended particles
Laurent Bétermin, Hans Knüpfer
We investigate lattice energies for radially symmetric, spatially extended particles interacting via a radial potential and arranged on the sites of a two-dimensional Bravais latti…
math-ph2017★ 14 cited
On Born's conjecture about optimal distribution of charges for an infinite ionic crystal
Laurent Bétermin, Hans Knüpfer
We study the problem for the optimal charge distribution on the sites of a fixed Bravais lattice. In particular, we prove Born's conjecture about the optimality of the rock-salt al…