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Generalized Crystallography of Rod Systems

Research Project

Project/Area Number 06804015
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 固体物性Ⅰ(光物性・半導体・誘電体)
Research InstitutionUniversity of Tsukuba

Principal Investigator

OGAWA Tohru  Univ.of Tsukuba, Institute of Applied physics, Prof., 物理工学系, 教授 (10025364)

Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 1995: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1994: ¥1,100,000 (Direct Cost: ¥1,100,000)
Keywordscrystal / rod-packing / dense packing / symmetry / arrangement / composite material / 配置 / 物質構造 / 自己保持構造 / 結晶学 / 空間直線群の幾何学 / 捻れの幾何学 / ロッド系の対称性 / 廃棄物処理
Research Abstract

Cylindrical rods with long enough are arranged in some order. The motivation is to construct a generalized crystallography, which unifies periodic and nonperiodic arrangements. It serves as compilation of basic knowledge of arranging and packing, which are fundamental phenomena in physical world.
A systematic investigation is done focusing on the possible periodic arrangements of rods with rather high density and/or high symmetry. The directions of rods are restricted to a n kinds, where n=3,4,6, which are, for example, referred to as 3-axs arrangement and so on. The 3-axscase is rather simple. In the 4-axs case, high symmetry and high density are another problem. The 6-axs case is intensively investigated and the possible structures are exhaustively studied within a certain condition. Though the investigation is not perfect and is still going on.
The concepts of support and self-support are introduced. The present subject has relationship with many fields ; for example, composite materials, crystallography of rather complex structure like garnet.

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] 小川泰,手嶋吉法,渡辺慶規: "立体織物複合材料-III.-ロッド系の幾何学と結晶学" 日本複合材料学会誌. 21. 165-173 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 手嶋吉法: "剛体円柱の集合がとり得る構造の研究-周期6軸構造を中心として-21GC02:物性研究" 21. 165-173 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y. Teshima, Y. Watanabe, and T. Ogawa: "The Periodic Six-Axes-Structures in Rod Svstem" Extended Abstract KATACHI U SYMMETRY. 154-157 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. Ogawa: "Puzzle, Science, Culture : -Taking Rod Constructions as an Example" Extended Abstract KATACHI U SYMMETRY. 240-243 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. Ogawa, Y. Teshima, and Y. Watanabe: "Geometry and Crys-tallography of Self-Supporting Rod Structures" KATACHI U SYMMETRY Eds. T. Ogawa et al (springer Verleg). 239-246 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. Ogawa, Y. Teshima, and Y. Watanabe: "KATACHI U SYMMETRY" T. Ogawa, Ed. Springer, 442 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Teshima, Y.Watanabe, and T.Ogawa: "The Periodic Six-Axs-Structures in Rod System" Extended Abstract KATACHI * SYMMETRY. 154-157 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Ogawa: "Puzzle, Science, Culture : -Taking Rod Constructions as an Example" in Extended Abstract KATACHI * SYMMETRY. 240-243 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Ogawa, Y.Teshima, and Y.Watanabe: "Geometry and Crystallography of Rods" J.Jpn.Soc.For Composite Materials. 21 (in Japanese). 165-173 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Teshima: "The Structures which can be taken by the Agrigates of Rigid Cylinders" Bussei-Kenkyu. 65 No.3 (in Japanese). 405-439 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Ogawa, Y.Teshima, and Y.Watanabe: "Geometry and Crystallography of Self-Supporting Rod Structures" KATACHI * SYMMETRY,(Eds.T. ; Ogawa et al., Springer Verlag.). 239-246 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Watanabe, Y.Teshima, and T.Ogawa: "Geometry of Rod Packings" Symmetry. Vol.7 (to be published). (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 小川泰・手嶋吉法・渡辺厚規: "立体織物複合材料III ロッド系の幾何学と結晶学" 日本複合材料学会誌. 21. 165-173 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 小川 泰: "形の科学と混相流" 日本混相流学会. 9. 215-220 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T. Ogawa Y. Teshima Y. Watanabe: "Geometry and Crystallozraphy of Sclf-Supporting Rod Structure" KATACHI U SYMMETRY. 239-246 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] T. Ogawa. K. Miura. T. Masunari. D. Nagy 編: "KATACHI U SYMMETRY" Springer Verlag, 440 (1996)

    • Related Report
      1995 Annual Research Report

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Published: 1994-04-01   Modified: 2020-05-15  

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