LEAST ACTION PRINCIPLE OF CRYSTAL...(V3) (eBook)

Wu-Yi Hsiang (Autor)

eBook Download: PDF

2001
424 Seiten
World Scientific Publishing Company (Verlag)
978-981-238-491-1 (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 âknown densityâ of B/â18. In 1611, Johannes Kepler had already âconjecturedâ that B/â18 should be the optimal âdensityâ of sphere packings. Thus, the central problems in the study of sphere packings are the proof of Kepler's conjecture that B/â18 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
• Reihe/Serie: Nankai Tracts In Mathematics
• Reihe/Serie: Nankai Tracts In Mathematics
• Reihe/Serie: NANKAI TRACTS IN MATHEMATICS
• Mitarbeit: Herausgeber (Serie): Weiping Zhang
• Verlagsort: Singapore
• 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: 981-238-491-X / 981238491X
• ISBN-13: 978-981-238-491-1 / 9789812384911