Least Action Principle of Crystal Formation of Defense Packing Type and Kepler's Conjecture.

HSIANG, Wu Yi

ISBN 10: 9810246706 / ISBN 13: 9789810246709

Edité par World Scientific, New Jersey, 2001

A propos de cet article

New Jersey, World Scientific (2001). Some figs. XXI, 402 p. Hardbound. Nankai Tracts in Mathematics, 3.- Dedication by the author on flyleaf.- Like new.

N° de réf. du vendeur 96341

Détails bibliographiques

• Titre: Least Action Principle of Crystal Formation of Defense Packing Type and Kepler's Conjecture.
• Éditeur: World Scientific, New Jersey
• Date de parution: 2001
• Langue: anglais
• ISBN à 10 chiffres: 9810246706
• ISBN à 13 chiffres: 9789810246709
• Reliure: Hardcover
• État de l'article: Wie neu

A propos de ce titre

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.