| Project/Area Number |
25400431
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Biological physics/Chemical physics/Soft matter physics
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| Research Institution | Kinki University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
MATSUZAWA Junichi 奈良女子大学, 自然科学系, 教授 (00212217)
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
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| Keywords | ソフトマター / 3重周期極小曲面 / ジャイロイド / タイリング / アルダー転移 / 空間群 / 高分子 / 極小曲面 / 膜 / ブッロク共重合体 / コロイド |
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| Outline of Final Research Achievements |
On a flat surface the hexagonal arrangement is a ubiquitous regular arrangement arising from dense packing, space division, or interactions between particles. What is regular arrangement when a surface is curved? On a sphere, this question was firstly raised by J. J. Thomson for electrons constituting atoms, Goldberg elucidated regular polyhedra, and for biological icosahedral viruses Caspar and Klug found a construction principle of regular arrangements on a sphere. In contrast, regular arrangements of particles on saddle-shaped periodic surfaces with negative curvatures have not been pursued. In this project, we have shown numerous regular arrangements of spheres on the Schwarz P- and D-surfaces obtained through the Alder transition, where magic numbers have been obtained in analogy with icosahedral viruses. These unprecedented arrangements are analyzed in terms of space groups, and polygonal & hyperbolic tilings.
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