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Least action principle of crystal formation of dense packing type and Kepler's conjecture /
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 p/v18. In 1611, Johannes Kepler had already "conjectured" that p/v18 should be the...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, NJ :
World Scientific,
2001.
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| Colección: | Nankai tracts in mathematics ;
v. 3. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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 p/v18. In 1611, Johannes Kepler had already "conjectured" that p/v18 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 p/v18 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 densi |
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| Descripción Física: | 1 online resource (xxi, 402 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 397-399) and index. |
| ISBN: | 981238491X 9789812384911 9810246706 9789810246709 |