LEAST ACTION PRINCIPLE OF CRYSTAL...(V3) (Nankai Tracts in Mathematics, Band 3) - Hardcover

Hsiang Wu-Yi

Hardcover

ISBN 10: 9810246706 ISBN 13: 9789810246709

Verlag: World Scientific Publishing Co Pte Ltd, 2002

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: World Scientific Publishing Co Pte Ltd
• Erscheinungsdatum: 2002
• Sprache: Englisch
• ISBN 10: 9810246706
• ISBN 13: 9789810246709
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 424
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: gpsr@libri.de; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Deutschland