変調構造と非晶質構造 : ―異空間の中の結晶たち―

概要

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Two solid state structures, which are characterized by lack of crystalline symmetries, yet having, to some extent, the orderness, are discussed in a unified manner. They are the modulated strutures on one dand, which are ordered ones having not necessarily translational periodicities; and the amorphous structures on the other hand retaining only short- and medium-range orders. Energetically they are both frustrated. The topology of those structures are readily represented by introducing the 4th dimension in direct as well as reciprocal spaces, i. e., by extending the space group considerations to the 4-dimensional flat or curved spaces. The argument by De Wolf [Acta Cryst. A30, 777 (1974) ] and that of Sadoc [J. Non-Cryst. Solid. 44, 1 (1981) ] are adopted for discussing modulated and amorphous structures respectively. In this context similarities existing in those strucutres are suggested, which lead, in particular, to a reinterpretation of the dense random packing model for amorphous solids in relation to the micro-crystalline model. [J. Cryst. Soc. Jpn. 27, 239 (1985) ] .
日本結晶学会の論文