| Project/Area Number |
10640458
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Petrology/Mineralogy/Science of ore deposit
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| Research Institution | HOKKAIDO UNIVERSITY |
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Principal Investigator |
MIURA Hiroyuki Hokkaido Univ. Grad. School of Sci., Lecturer, 大学院・理学研究科, 講師 (70157436)
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| Co-Investigator(Kenkyū-buntansha) |
MIKUCHI Takeshi Hokkaido Univ. Grad. School of Sci., Asso. Prof., 大学院・理学研究科, 助教授 (60211190)
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| Project Period (FY) |
1998 – 2000
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| Project Status |
Completed (Fiscal Year 2000)
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| Budget Amount *help |
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2000: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1999: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1998: ¥2,800,000 (Direct Cost: ¥2,800,000)
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| Keywords | Crystal Structure / X-ray powder diffraction / Monte Carlo method / R-factor method / リートベルト法 |
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| Research Abstract |
A computer program which constructs crystal structure models using the Monte Carlo and the R-factor method from powder X-ray diffraction data was developed. In order to study an unknown crystal structure by the Rietveld method, a correct structure model must be prepared in advance. This is usually very difficult when no information is available about the structure. A program which automatically constructs a crystal structure model of the object material would simplify the task of solving the structure of the powdered material by the Rietveld method. This program, which sets atomic positions by the Monte Carlo method, requires XRD data, cell constants, a space group, a chemical formula, and a Z-number (the number of the formula in a unit cell). Wyckoff positions and coordinates of independent atoms in a unit cell are selected by random numbers, and theoretical XRD data are calculated. The R-factor of the model is calculated from theoretical and observed XRD data. Hundreds of models of a low R value are selected and stored. As atoms of the stored model concentrate in a particular area, search areas are restricted to the vicinity of these atoms, a process which minimizes the total calculation time. Using this program and a personal computer, the structure of unknown high pressure phase (CaMg_2Al_6O_<12>) was solved, which demonstrates that this method is a powerful tool to solve the structure of powder materials.
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