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

三维以上空间描述的对称性和层次结构

基本信息

批准号：
04302061
负责人：
OHMASA Masaaki
金额：
$ 3.33万
依托单位：
Himeji Institute of Technology
依托单位国家：
日本
项目类别：
Grant-in-Aid for Co-operative Research (A)
财政年份：
1992
资助国家：
日本
起止时间：
1992 至 1993
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-04302061/
关键词：
the 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

项目摘要

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

该项目自1992年4月开始实施，至今已历时两年。在这一时期取得的成果如下：1.个别成员的研究及其合作所取得的成果; 2.在这一时期与项目成员和研究人员举行的与题目有关的讨论会议。（1）无公度相、准晶和非晶材料的结构研究;（2）三维以上空间对称性的研究;（3）物理性质的研究。在第（1）类中，我们研究了Bi氧化物系高温超导体Ca_2CoSi_2O_7、云母多型体和BaZnGeO_4的结构。作为基础性贡献，建立了确定复合晶体高维超空间群的方法。用电子发射光谱研究了Al-Pb-Mn，Mg-Ga-Al-Zn，Al-Cu-Co和Al-Ni-Fe系准晶的结构 ...更多信息电子显微镜和电子衍射方法。用X射线衍射和EXAFS方法研究了钙硅酸盐玻璃、Ag_3AsS_3玻璃、Y_2O_3-Al_2O_3-SiO_2玻璃和碲酸盐玻璃的结构。同时，也阐明了乙醇-水体系的波动模式。在第（2）类中，研究了Penrose镶嵌的图测地线。提出了（3+1）维无公度相点群和空间群的确定方法。建立了确定复合晶体超空间群的方法。在（3）中，利用衍射数据和热力学参数对混合溶液的涨落进行了研究，并对涨落给出了新的、充分的解释。在后者中，1993年1月召开了非晶结构讨论会，许多专家参加了会议并进行了热烈讨论。第二次讨论会于1993年11月举行，与会者报告了他们的研究结果，并讨论了三维以上空间中物质对称性和结构研究的未来发展。少