粘土を構成する微細結晶体の数理構造

概要

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A mathematical representation of structures of both interstratified minerals and zeolites, which are all main components constituting clays, is reviewed in the special reference to the connectivity of their component layers and atoms. The order-disorder arrangement of interstratified minerals can be characterized by one dimensional connectivity between the layers in the 1st, 2nd, 3rd, ....nth neighbor. Their relationships can be simplified in terms of the concept of Markov chain in the stochastic process, and represented on an interstratified structure diagram. Three dimensional zeolite frameworks can be characterized with a concept of concentric clusters, in which the connectivity relation between the framework T(Si,AD atoms in the 1st, 2nd, 3rd, ....nth distance(nighbor) is realized on the number and valence of front nodes. The concept also serves for the characterization of Si, Al distribution on the framework and derivation of expected frequencies of Si, Al substituted clusters. Their frequencies against different Si/Al ratio are not continuous, but discontinuous at three points of Si/Al=1.3, 2.0 and 4.0. The points are fairly correlated with the turning points of physical and chemical properties ever reported. It is noteworthy that both structural characteristics are realized on the mathematical representation of the connectivity relations in the consecutive neighbors.
日本粘土学会の論文
1994-03-25