On born’s conjecture about optimal distribution of charges for an infinite ionic crystal
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 alternate distribution of charges on a cubic lattice (and more generally on a d-dimensional orthorhombic lattice). Further...
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| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
October 2018
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| In: |
Journal of nonlinear science
Year: 2018, Jahrgang: 28, Heft: 5, Pages: 1629-1656 |
| ISSN: | 1432-1467 |
| DOI: | 10.1007/s00332-018-9460-3 |
| Online-Zugang: | Resolving-System, Volltext: http://dx.doi.org/10.1007/s00332-018-9460-3 Verlag, Volltext: https://link.springer.com/article/10.1007/s00332-018-9460-3 
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| Verfasserangaben: | Laurent Bétermin, Hans Knüpfer |
| Zusammenfassung: | 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 alternate distribution of charges on a cubic lattice (and more generally on a d-dimensional orthorhombic lattice). Furthermore, we study this problem on the two-dimensional triangular lattice and we prove the optimality of a two-component honeycomb distribution of charges. |
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| Beschreibung: | Gesehen am 17.12.2018 |
| Beschreibung: | Online Resource |
| ISSN: | 1432-1467 |
| DOI: | 10.1007/s00332-018-9460-3 |