Articles liés à Least Action Principle of Crystal Formation of Dense...

Least Action Principle of Crystal Formation of Dense Packing Type and Kepler's Conjecture - Couverture rigide

Hsiang, Wu-Yi

 
9789810246709: Least Action Principle of Crystal Formation of Dense Packing Type and Kepler's Conjecture
Couverture rigide
ISBN 10 : 9810246706 ISBN 13 : 9789810246709
Editeur : World Scientific Publishing Co Pte Ltd, 2001

Synopsis

The dense packing of microscopic spheres (i.e. atoms) is the basic geometric arrangement in crystals of mono-atomic elements with weak covalent bonds, which achieves the optimal “known density” of B/√18. In 1611, Johannes Kepler had already “conjectured” that B/√18 should be the optimal “density” of sphere packings. Thus, the central problems in the study of sphere packings are the proof of Kepler's conjecture that B/√18 is the optimal density, and the establishing of the least action principle that the hexagonal dense packings in crystals are the geometric consequence of optimization of density. This important book provides a self-contained proof of both, using vector algebra and spherical geometry as the main techniques and in the tradition of classical geometry.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2001
Langue
anglais
ISBN 10 
9810246706
ISBN 13 
9789810246709
Reliure
Relié
Nombre de pages
424
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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