A standardless method of quantitative X-ray diffractometry using target-transformation factor analysis
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A standardless quantitative X-ray diffraction analysis is developed that simultaneously estimates weight proportions of minerals in a bulk lot of a multiphase material (such as coal ash, cement, or rock)and the weight proportions of chemical oxides or elements in constituent minerals. The method is based on data from bulk chemical analysis (of major oxides or elements)and X-ray diffraction intensity measurements on several subsamples of the bulk lot. Chemical analyses yield a matrix Yof weight proportions of major oxides (or elements)in subsamples. X-ray intensity measurements for minerals in subsamples form a matrix Q.The procedure is basically a factor analysis of Yinvolving a target transformation using Qas a target.
Key wordsclay minerals jackknife estimation mineral analysis standardless quantitative XRD target-transformation factor analysis
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- Bizjak, A., 1975, Theory of a general method for phase analysis: Anal. Chem., v. 47, p. 790–793.Google Scholar
- Brindley, B. W., 1980, Crystal structures of clay minerals and their x-ray identification: Mineralogical Society, Boston.Google Scholar
- Efron, B., 1982, The jackknife, the bootstrap and other resampling plans: Regional conference series in applied mathematics, No. 38, Society for Industrial and Applied Mathematics, Philadelphia.Google Scholar
- Fiala, J., 1980, Powder diffraction analysis of a three-component sample: Anal. Chem., v. 52, p. 1300–1304.Google Scholar
- Harmon, H. H., 1976, Modern factor analysis (3rd ed.): University of Chicago Press, Chicago.Google Scholar
- Malinowski, E. R. and Howery, D. G., 1980, Factor analysis in chemistry: John Wiley & Sons, New York.Google Scholar
- Zevin, L. S., 1974, A method of quantitative phase analysis without standards: Jour. Appl. Cryst., v. 10, p. 147–150.Google Scholar