Geometrical Problems Related to Crystals, Fullerenes and Nanoparticles Structure.
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| Title: | Geometrical Problems Related to Crystals, Fullerenes and Nanoparticles Structure. |
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| Authors: | Bouniaev, Mikhail M.1 Mikhail.Bouniaev@utb.edu, Musin, Oleg R.1 Qleg.Musin@utb.edu, Dolbilin, Nikolai P.2 Dolbilin@mi.ras.ru, Tarasov, Alexey S.3 Tarasov.Alexey@gmail.com |
| Source: | Annual International Conference on Computational Mathematics, Computational Geometry & Statistics. 2014, p55-61. 7p. |
| Subjects: | Geometry problems & exercises, Materials science, Crystal structure, Quasicrystals, Estimation theory |
| Abstract: | This paper focuses on three groups of geometrical problems, closely related to material sciences in general, and particularly, to crystal / quasi-crystal structures along with their formations and fullerenes. Some new results in mathematics are presented and discussed, for example, in section one, new estimates of minimum radius of local identity that guarantee that a Delone set is a point regular set. New results related to locally rigid packings are discussed in section two. One of the goals of the paper is to establish some internal (mathematically) and external (applications to material science) connections between research agendas of various studies in geometry and material sciences. [ABSTRACT FROM AUTHOR] |
| Copyright of Annual International Conference on Computational Mathematics, Computational Geometry & Statistics is the property of Global Science & Technology Forum and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 94854696 AccessLevel: 6 PubType: Conference PubTypeId: conference PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.5176/2251-1911_CMCGS14.06 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 55 Subjects: – SubjectFull: Geometry problems & exercises Type: general – SubjectFull: Materials science Type: general – SubjectFull: Crystal structure Type: general – SubjectFull: Quasicrystals Type: general – SubjectFull: Estimation theory Type: general Titles: – TitleFull: Geometrical Problems Related to Crystals, Fullerenes and Nanoparticles Structure. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Bouniaev, Mikhail M. – PersonEntity: Name: NameFull: Musin, Oleg R. – PersonEntity: Name: NameFull: Dolbilin, Nikolai P. – PersonEntity: Name: NameFull: Tarasov, Alexey S. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: 2014 Type: published Y: 2014 Identifiers: – Type: issn-print Value: 22511911 Titles: – TitleFull: Annual International Conference on Computational Mathematics, Computational Geometry & Statistics Type: main |
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