Least Action Principle Of Crystal Formation Of Dense Packing Type And Kepler's Conjecture (eBook)

Hsiang Wu-yi Hsiang (Autor)

eBook Download: PDF

2001
424 Seiten
World Scientific Publishing Company (Verlag)
978-981-4490-74-0 (ISBN)

Infos

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 "e;known density"e; of B/ In 1611, Johannes Kepler had already "e;conjectured"e; that B/ should be the optimal "e;density"e; of sphere packings. Thus, the central problems in the study of sphere packings are the proof of Kepler's conjecture that B/ 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.

Produkt-Details

• Erscheint lt. Verlag: 26.12.2001
• Mitarbeit: Herausgeber (Serie): Zhang Weiping Zhang
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Naturwissenschaften ► Geowissenschaften ► Mineralogie / Paläontologie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
• ISBN-10: 981-4490-74-1 / 9814490741
• ISBN-13: 978-981-4490-74-0 / 9789814490740