Some Applications of Spherical Designs(<Special Topic>A Mathematical Challenge to a New Phase of Materials Science)
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- Tagami Makoto
- 九州工業大学システム創成情報工学研究系
Bibliographic Information
- Other Title
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- 球デザインの材料科学への応用(<特集>離散幾何学から提案する新物質創成・物性発現の解明)
- 球デザインの材料科学への応用
- タマ デザイン ノ ザイリョウ カガク エ ノ オウヨウ
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Abstract
In this paper, we introduce some applications of spherical designs to materials science. A spherical design, which is a notion of pure mathematics, has been mainly studied well in algebraic combinatorics. Spherical design is defined as what giving a good configuration of finite points on sphere from the viewpoint of the surface integral. On the other hand, it is closely related to minimizing potential energy of finite points on sphere. We extend the theory of potential energy minimization to Euclidean designs, which is a natural generalization of spherical designs to Euclidean space, and apply Euclidean design to structural analysis of metal clusters, in particular, to rhodium clusters. Some other applications of spherical design are stated.
Journal
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- Bulletin of the Japan Society for Industrial and Applied Mathematics
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Bulletin of the Japan Society for Industrial and Applied Mathematics 23 (4), 166-170, 2013
The Japan Society for Industrial and Applied Mathematics
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Details
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- CRID
- 1390282680743247488
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- NII Article ID
- 110009686658
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- NII Book ID
- AN10288886
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- ISSN
- 09172270
- 24321982
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- NDL BIB ID
- 025133294
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed