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Symmetry and features of structure in materials described in the space higher than three dimensions.

Research Project

Project/Area Number 02302087
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)
MATSUMOTO Takeo  Kanazawa Univ. Dept. of Earth Sci. Professor, 理学部, 教授 (20019467)
OGAWA Tohru  Tsukuba Univ. Inst. of Applied Physics Professor, 物理工学系, 教授 (10025364)
武田 弘  東京大学, 理学部, 教授 (50011523)
丸茂 文幸  東京工業大学, 工業材料研究所, 教授 (10013492)
岩崎 準  理化学研究所, 結晶学研究室, 主任研究員 (20087399)
Project Period (FY) 1990 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 1991: ¥1,700,000 (Direct Cost: ¥1,700,000)
Keywordsthe space higher than three dimensions / symmetry / modulated structures / incommensurate phase / composite crystals / quasicrystals / amorphous materials
Research Abstract

This project has been carried out since the end of Oct. in 1990, and proceeded for 17 months. The results obtained in this period are as follows :
1. the results by individual works of the members and by their cooperative works, and 2. the discussion meetings held in the above period with the investigators related to the proiccl
In the former, three categories of studies have been carried out : (1) structural studies on incommensurate phases, studies on quasicrystals and on amorphous materials, (2) interpretation of feature of the structures and their properties in higher dimensions, and (3) studies on symmetries in the space higher than three dimensions. In category (1) , the structures of Ca_2CoSi_2O_7, of high Tc superconductors in Bi-oxide series and of zirconium titanates have been analyzed. As fundamental contributions, a computer program for structure determination of composite crystals was newly developed and a method to determine four-dimensional space group by convergent-beam e … More lectron diffraction was also established. Structures of quasicrystals in Al-Ni-Co and Al-Cu-Co systems were clarified by high-resolution electron microscopy and those in Al-Co-Ni and Al-Cu-Li systems were elucidated by X-ray diffraction method. The coordinations of transition metals in Ca (Mg, M) (Si, Al)_2O_6 (M : Mn, Fe, Co, Ni) glasses were studied by X-ray diffraction and EXAFS methods. A method to determine fluctuation of solutions by small angle X-ray diffraction was also established and was successfully applied to mixtures of alcoholic solutions and water. In category (2), a new concept "a graphical geodesic" was proposed. This was applied to characterize intrinsic regularity of the triangulated Penrose tilings which are closely related to the structures of qusicrystals. In (3), Studies on super space groups of composite crystals, on non-characteristic orbits of space groups, on statistics of point groups of crystals and on characters of packing of ellipses have been carried out.
In the latter, the first discussion meeting was held in January, 1991, and the second one in February, 1992. The member of this project together with the investigators related to the project attended the meeting and the results of their studies were presented. The discussions were fruitful. Less

Report

(3 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] K.Hagiya: "Modulation in Co-a^^okermanite." Proc.Japan Acad.ser.B. 68. 25-29 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] A.Yamamoto: "Unified setting and symbols of superspace groups for composite crystals." Acta Cryst.(1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Hiraga: "Formation of decagonal quasicrystal in the Al-Pd-Mn system and its structure." Jpn.J.Appl.Phys.30. 2028-2034 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] M.Saito: "Space group determination of decagonal quasicrystals of an Al_<70>Ni_<50>Fe_<15> alloy using convergent-beam electron diffraction" Jpn.J.Appl.Phys.31. L109-L112 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] M.Tanemura: "On the density of the p31m packing ellipses." Zeit.Kristallogr.198. 89-99 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Ohsumi: "Development of a system to analyse the structure of a submicrometer-sized single crystal by synchrotron X-ray diffraction" J.Appl.Cryst.24. 340-348 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Hagiya: "Modulation in Co-akermanite." Proc. Japan Acad. Ser. B,. 64. 25-29 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] A. Yamamoto: "Unified setting and symbols of super space groups for composite crystals." Acta Cryst.(1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Hiraga: "Formation of decagonal quasicrystal in the Al-Pd-Mn system and its structure." Jpn. J. Appl. Phys.30. 2028-2034 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] M. Saito: "Space group determination of decagonal quasicrystals of an Al_<70>Ni_<50>Fe_<15> alloy using convergent-beam electron diffraction." Jpn. J. Appl. Phys.31. L109-L112 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] M. Tanemura: "On the density of the p31m packing of ellipses." Zeit. Kristallogr.Bd. 198. 89-99 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K. Ohsumi: "Development of a system to analyze the structure of a submicrometer-sized single crystal by synchrotron X-ray diffraction." J. Appl. Cryst.24. 340-348 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] K.Hagiya: "Modulation in Coーa^^°kermanite." Proc.Japan Acad.,ser.B. 68. 25-29 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] A.Yamamoto: "Unified setting and symbols of superspace groups for composite crystals." Acta Cryst.(1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Hiraga: "Formation of decagonal quasicrystal in the AlーPdーMn system and its structure." Jpn.J.Appl.Phys.30. 2028-2034 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] M.Saito: "Space group determination of decagonal quasicrystals of an Al_<70>Ni_<50>Fe_<15> alloy using convevgentーbeam electron diffraction" Jpn.J.Appl.Phys.31. L109-L112 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] M.Tanemura: "On the density of the p31m packing of ellipses." Zeit.Kristallogr.198. 89-99 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] K.Ohsumi: "Development of a system to analyse the structure of a submicrometerーsized single crystal by synchrotron Xーray diffraction" J.Appl.Cryst.24. 340-348 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] Ohmasa,M.,Hagiya,K.and Iishi,K.: "Structure of synthetic Coーakermanite." Acta Crystallographica. A46. C253 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Ohsumi,K.,Hagiya,K.and Ohmasa,M.: "Development of a system to analyse the structure of a submicrometerーsized single crystal by synchrotron Xーray diffraction." Journal of Applied Crystallography. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] Yamamoto,A.,Onoda,M.,TakayamaーMuromati,E.,Izumi,F.,Ishigaki,T.and Asano,H.: "Rietveld analysis of the modulated structure in the superconducting oxide Bi_2(Sr,Ca)_3Cu_2O_<8+x>." Physical Review B. 42. 4228-4239 (1990)

    • Related Report
      1990 Annual Research Report

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Published: 1991-04-01   Modified: 2016-04-21  

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