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Symmetry and hierarchical structure described in the space higher than three dimension

Research Project

Project/Area Number 04302061
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 結晶学
Research InstitutionHimeji Institute of Technology

Principal Investigator

OHMASA Masaaki  Himeji Inst.of Technol.Dept.of Life Sci.Professor, 理学部, 教授 (30092159)

Co-Investigator(Kenkyū-buntansha) TANAKA Michiyoshi  Tohoku Univ.Res.Inst.for Sci.Meas.Professor, 科学計測研究所, 教授 (90004291)
YAMAMOTO Akiji  Nat.Inst.for Inorganic Materials Res.Sen.res., 第11研究グループ, 主任研究官
HIRAGA Kenji  Tohoku Univ.Inst.for Materials Res.Professor, 金属材料研究所, 教授 (30005912)
OHSUMI Kazumasa  Nat.Lab.for High Energy Phys.Photon Factory Professor, 放射光実験施設, 教授 (70011715)
OGAWA Tohru  Tsukuba Univ.Inst.of Applied Physics Professor, 物理工学系, 教授 (10025364)
松本 たけ生  金沢大学, 理学部, 教授 (20019467)
Project Period (FY) 1992 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥5,200,000)
Fiscal Year 1993: ¥2,900,000 (Direct Cost: ¥2,900,000)
Fiscal Year 1992: ¥2,300,000 (Direct Cost: ¥2,300,000)
Keywordsthe space higher than three dimension / symmetry / modulated structures / incommensurate phases / composite crystals / quasicrystals / amorphous metarials / インコメンシュレート用 / 階層的構造
Research Abstract

This project has been carried out since April in 1992, and proceeded for two years. The results obtained in this period are as follows : 1.the results obtained by research of individual members and of their co-operation, and 2, the discussion meetings held in the above period with the members of the project and investigators related to the title.
In the former, three categories of studies have been carried out : (1)structural studies on incommensurate phases, on quasicrystals and on amorphous materials, (2)studies on symmetries in the space higher than three dimensions, and (3)studies on physical properties. In category (1), the structures of Ca_2CoSi_2O_7 of high Tc superconductors in Bi-oxide series, of mica polytypes and of BaZnGeO_4 have been investigated. As fundamental contributions, a method to determine higher-dimensional super space group of composite crystals was established. Structures of quasicrystals in Al-Pb-Mn, Mg-Ga-Al-Zn, Al-Cu-Co and Al-Ni-Fe systems were studied by el … More ectron microscopy and electron diffraction methods. Structures of Ca-silicate glass, Ag_3AsS_3 glass, glasses of Y_2O_3-Al_2O_3-SiO_2 and tellurite glasses were investigated by X-ray diffraction and EXAFS methods. The mode of fluctuation of ethanol and water system was also clarified. In category (2), graphical geodesic of Penrose tiling was studied. Determination of point groups and space groups of incommensurate phases in (3+1)-dimension was newly proposed. A method of determination of super space-group of composite crystals was also established. In (3), studies on fluctuation of mixed solutions with diffraction data together with thermodynamic parameters were carried out and new and adequate interpretation of fluctuation was presented. Studies on mechanism of pattern formation at interface between different phase were also undertaken.
In the latter, the discussion meeting on amorphous structures was held in January, 1993, and many specialists on the problem attended the meeting and discussed eagerly. The second discussion meeting was held in November, 1993, and the attendants reported results of their research and also discussed on the future development of the studies on symmetry and structure of matter in the space higher than three dimension. Less

Report

(3 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • Research Products

    (23 results)

All Other

All Publications (23 results)

  • [Publications] K.Hagiya: "The modulated structure of synthetic Co-akermanite,Ca_2CoSi_2O_7" Acta Crystallographica. B49. 172-179 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Ohsumi: "Characterization of 5-μm-sized icosahedral chemical vapor deposited diamond by synchrotron X-ray diffraction with Laue method." Rev.Sci.Instr.63. 25-29 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Hiraga: "The structure of Al3Mn:close relationship to decagonal quasicrystals." Phil.Mag.B67. 193-205 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] M.Terauchi: "Convergent-beam electron diffraction study of incommensurately-modulated crystals.I.(3+1-dimensional point-groups)." Acta Crystallographica. A49. 722-729 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] A.Yamamoto: "Determination of composite crystal structures and superspace groups." Acta Crystallographica. A49. 834-846 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] M.Tanemura: "On the density of the p31m packing of ellipsoids" Zeit.Kristallogr.198. 89-99 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] H.Hagiya: "The modulated structure of syntheric Co-akermanite, Ca_2CoSi_2O_7" Acta Crystallograhica. B49. 172-179 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Ohsumi: "Characterization of 5-mum-sized icosahedral chemical vapor deposited diamond by synchrotron X-ray diffraction with Laue method" Rev.Sci, Instr.63. 25-29 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Hiraga: "The structure of A13Mn : close relationship to decagonal quasicrystals" Phil.Mag.B67. 193-205 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] M.Terauchi: "Convergent-beam electron diffraction study of incommensurately-modulated crystals. I.(3+1-dimensional point-groups)." Acta Crystallographica. A49. 722-729 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] M.Tanemura: "On the density of the p31m packing of ellipsoids" Zert.Kristallogr.198. 89-89 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] K.Hagiya: "The modulated structure of synthetic Co-〓kermanite,Ca_2CoSi_2O_7." Acta Cryst. B49. 172-179 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] K.Ohsumi: "Characterization of 5〓m-sized icosahearal chemical vapor deposited diamond by synchrotron X-ray diffraction with Laue method." Rev. Sci. Instr.63. 25-29 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] K.Hiraga: "The structure of Al_3Mn: close relationship to decagonal guasicrystals." Phil. Mag.B67. 193-205 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] M.Terauchi: "Convergent-beam electron diffraction study of incommensurately-modulated crystals. I.(3+1-dimensional point groups)" Acta Cryst.A49. 722-729 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] A.Yamamoto: "Determination of composite crystal structures and super space groips." Acta Cryst.A49. 834-846 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] M.Tanemura: "On the density of the p31m packing of ellipsoids" Zeit. Kristallogr.198. 89-99 (1992)

    • Related Report
      1993 Annual Research Report
  • [Publications] K.Hagiya: "The modulated structure of symthetic Co-akermanire,Ca_2CoSl_2O_7" Acta Cryst.B49. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] A.Yamamoto: "Ideal structure of icosahedral Al-Cu-Li quasicrystals" Phys. Rev.B45. 5217-5227 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] K.Hiraga: "High-resolution electron microscopy of quasicrystals" Electron Microscopy. 2. 485-489 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] M.Tanaka: "Electron diffraction and electron microscpe study on decagonal quasicrystals of Al-Ni-Fe alloys" J. Non-Crystalline Solids. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] M. Ishida: "X-ray diffraction study of generalized Fibonacci llattices" J. Phys. Soc. Jpn.61. 3428-3431 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] M. Tanemura: "Models and simulations of random structure of particles" Acta Stereologica. 11/Smppl1. 41-52 (1992)

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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