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

Hsiang, Wu-yi

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.

Détails de l'édition

• 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: non disponible