Examination of Mathematical Treatment of Lanthanide Tetrad Phenomenon Based on Four-Segmented Abscissa.
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概要
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A ground water sample from cracks of granitic wall was taken as a case study. It is shown that the characteristics of the lanthanide tetrad phenomenon can be demonstrated by the cusp-spanning pattern and the aberration diagram which indicates the aberrations of observed points from lines defined by the cusp points. It is revealed that, unlike the lanthanide partitioning between the aqueous and organic phases, the lanthanide distribution curve for the studied case representing the water-rock interaction is not monotonously linear, except the tetrad aberration, but appears to consist of four stretches with relatively sharp breaks of cusp-spanning pattern at cusp points between the first and the second segments and between the third and the fourth ones. The effects of the position assumed for cusps on the quadratic coefficients and on the aberration diagram have been mathematically evaluated. Employing the method proposed by Masuda and his coresearchers, the aberration diagrams for the 4th, 3rd and 2nd tetrads are not affected so much by the shift (±0.1 abscissa unit) of the position assumed for crossing, but the effect on the 1st tetrad is not quite negligible.
- 日本学士院の論文
著者
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Masuda Akimasa
Department Of Chemistry Faculty Of Science The University Of Tokyo
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Yamamoto Hiroshi
Departmemt Of Chemical Engineering University Of Tokyo
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SHIMODA Junji
Department of Chemistry, The University of Electro-Communications
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YAMAMOTO Hiroshi
Department of Earth Sciences, Kobe University
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