Generalized Crystallography of Rod Systems

棒系统的广义晶体学

• 批准号: 06804015
• 负责人: OGAWA Tohru
• 金额: $ 1.02万
• 依托单位: University of Tsukuba
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1995
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-06804015/
• 关键词: crystal; 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

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.

足够长的圆柱形杆按一定顺序排列。其动机是建立一个广义的晶体学，它统一了周期性和非周期性的安排。它是对物理世界中基本现象--排列和堆积的基本知识的汇编，重点研究了具有较高密度和/或较高对称性的棒的可能的周期性排列.杆的方向被限定为n种，其中n= 3，4，6，例如，被称为3轴排列等。在4轴的情况下，高对称性和高密度是另一个问题。对6轴情形进行了深入的研究，并在一定条件下对可能的结构进行了详尽的研究。虽然研究还不完善，还在继续，但引入了支持和自支持的概念。本课题涉及复合材料、石榴石等结构复杂的晶体学等多个领域。

项目成果

T. Ogawa: "Puzzle, Science, Culture : -Taking Rod Constructions as an Example" Extended Abstract KATACHI U SYMMETRY. 240-243 (1994)

T. Okawa：“谜题、科学、文化：-以杆结构为例”扩展摘要 KATACHI U SYMMETRY。

Y.Teshima, Y.Watanabe, and T.Ogawa: "The Periodic Six-Axs-Structures in Rod System" Extended Abstract KATACHI * SYMMETRY. 154-157 (1994)

Y.Teshima、Y.Watanabe 和 T.Okawa：“杆系统中的周期六轴结构”扩展摘要 KATACHI * SYMMETRY。

Y.Teshima: "The Structures which can be taken by the Agrigates of Rigid Cylinders" Bussei-Kenkyu. 65 No.3 (in Japanese). 405-439 (1995)

Y.Teshima：“刚性圆柱体可以采用的结构”Bussei-Kenkyu。

小川 泰: "形の科学と混相流" 日本混相流学会. 9. 215-220 (1995)

Yasushi Okawa：“形状和多相流科学”日本多相流学会 9. 215-220 (1995)。

Y. Teshima, Y. Watanabe, and T. Ogawa: "The Periodic Six-Axes-Structures in Rod Svstem" Extended Abstract KATACHI U SYMMETRY. 154-157 (1994)

Y. Teshima、Y. Watanabe 和 T. Okawa：“杆系统中的周期六轴结构”扩展摘要 KATACHI U SYMMETRY。