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

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The dense packing of microscopic spheres (i.e

• Least Action Principle Of Crystal Formation Of Dense Packing Type And Kepler's Conjecture available on February 05 2018 from VitalSource for itemprop="offers" target="_external" title="" itemscope itemtype="http://schema.org/Offer">156.0
  
• ISBN bar code 9789812384911 ξ1 registered February 05 2018
  
• Product category is Book

• Sku # 9789812384911
  

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.

^ Least Action Principle Of Crystal Formation Of Dense Packing Type And Kepler's Conjecture VitalSource. ISBN 9789812384911 (revised Feb 2018)