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 B/[symbol]18. In 1611, Johannes Kepler had already "conjectured" that B/[symbol]18...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2001
|
| Series: | Nankai tracts in mathematics
v. 3 |
| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | 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 B/[symbol]18. In 1611, Johannes Kepler had already "conjectured" that B/[symbol]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/[symbol]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 |
| Physical Description: | xxi, 402 p. ill |
| ISBN: | 9789812384911 |
Staff View
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| author | Hsiang, Wu Yi 1937- |
| author_facet | Hsiang, Wu Yi 1937- |
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| dewey-full | 511.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.6 |
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| id | DE-604.BV044633862 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:43Z |
| institution | BVB |
| isbn | 9789812384911 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030031834 |
| oclc_num | 1012623815 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xxi, 402 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | Nankai tracts in mathematics |
| spelling | Hsiang, Wu Yi 1937- Verfasser aut Least action principle of crystal formation of dense packing type and Kepler's conjecture Wu-Yi Hsiang Singapore World Scientific Pub. Co. c2001 xxi, 402 p. ill txt rdacontent c rdamedia cr rdacarrier Nankai tracts in mathematics v. 3 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 B/[symbol]18. In 1611, Johannes Kepler had already "conjectured" that B/[symbol]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/[symbol]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 Kepler's conjecture Sphere packings Crystallography, Mathematical Kristallmathematik (DE-588)4125615-3 gnd rswk-swf Kugelpackung (DE-588)4165929-6 gnd rswk-swf Kugelpackung (DE-588)4165929-6 s Kristallmathematik (DE-588)4125615-3 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810246709 Erscheint auch als Druck-Ausgabe 9810246706 http://www.worldscientific.com/worldscibooks/10.1142/4741#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hsiang, Wu Yi 1937- Least action principle of crystal formation of dense packing type and Kepler's conjecture Kepler's conjecture Sphere packings Crystallography, Mathematical Kristallmathematik (DE-588)4125615-3 gnd Kugelpackung (DE-588)4165929-6 gnd |
| subject_GND | (DE-588)4125615-3 (DE-588)4165929-6 |
| title | Least action principle of crystal formation of dense packing type and Kepler's conjecture |
| title_auth | Least action principle of crystal formation of dense packing type and Kepler's conjecture |
| title_exact_search | Least action principle of crystal formation of dense packing type and Kepler's conjecture |
| title_full | Least action principle of crystal formation of dense packing type and Kepler's conjecture Wu-Yi Hsiang |
| title_fullStr | Least action principle of crystal formation of dense packing type and Kepler's conjecture Wu-Yi Hsiang |
| title_full_unstemmed | Least action principle of crystal formation of dense packing type and Kepler's conjecture Wu-Yi Hsiang |
| title_short | Least action principle of crystal formation of dense packing type and Kepler's conjecture |
| title_sort | least action principle of crystal formation of dense packing type and kepler s conjecture |
| topic | Kepler's conjecture Sphere packings Crystallography, Mathematical Kristallmathematik (DE-588)4125615-3 gnd Kugelpackung (DE-588)4165929-6 gnd |
| topic_facet | Kepler's conjecture Sphere packings Crystallography, Mathematical Kristallmathematik Kugelpackung |
| url | http://www.worldscientific.com/worldscibooks/10.1142/4741#t=toc |
| work_keys_str_mv | AT hsiangwuyi leastactionprincipleofcrystalformationofdensepackingtypeandkeplersconjecture |