Items related to Least Action Principle of Crystal Formation of Dense...

Least Action Principle of Crystal Formation of Dense Packing Type & the Proof of Kepler's Conjecture - Hardcover

Hsiang, Wu Yi

 
9789810246709: Least Action Principle of Crystal Formation of Dense Packing Type & the Proof of Kepler's Conjecture
Hardcover
ISBN 10: 9810246706 ISBN 13: 9789810246709
Publisher: World Scientific Pub Co Inc, 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.

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Review

The book presents an expostition of the ideas suggested by W Y Hsiang to prove this interesting and difficult conjecture. -- Mathematics Abstracts

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Publisher
World Scientific Pub Co Inc
Publication date
2001
Language
English
ISBN 10 
9810246706
ISBN 13 
9789810246709
Binding
Hardcover
Edition number
1
Number of pages
300