Vai al contenuto principale della pagina
Autore: | Hsiang Wu Yi <1937-> |
Titolo: | Least action principle of crystal formation of dense packing type and the proof of Kepler's conjecture [[electronic resource] /] / Hsiang, Wu-Yi |
Pubblicazione: | Singapore ; ; River Edge, NJ, : World Scientific, 2001 |
Descrizione fisica: | 1 online resource (425 p.) |
Disciplina: | 511/.6 |
516 | |
Soggetto topico: | Kepler's conjecture |
Sphere packings | |
Crystallography, Mathematical | |
Soggetto genere / forma: | Electronic books. |
Note generali: | Description based upon print version of record. |
Nota di bibliografia: | Includes bibliographical references. |
Nota di contenuto: | Contents; Foreword; Acknowledgment; List of Symbols; Chapter 1 Introduction; Chapter 2 The Basics of Euclidean and Spherical Geometries and a New Proof of the Problem of Thirteen Spheres; Chapter 3 Circle Packings and Sphere Packings; Chapter 4 Geometry of Local Cells and Specific Volume Estimation Techniques for Local Cells; Chapter 5 Estimates of Total Buckling Height; Chapter 6 The Proof of the Dodecahedron Conjecture; Chapter 7 Geometry of Type I Configurations and Local Extensions; Chapter 8 The Proof of Main Theorem I; Chapter 9 Retrospects and Prospects; References; Index |
Sommario/riassunto: | 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 |
Titolo autorizzato: | Least action principle of crystal formation of dense packing type and the proof of Kepler's conjecture |
ISBN: | 1-281-86970-8 |
9786611869700 | |
981-238-491-X | |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910456149703321 |
Lo trovi qui: | Univ. Federico II |
Opac: | Controlla la disponibilità qui |