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Indexing Powder Diffraction Patterns

Published online by Cambridge University Press:  06 March 2019

Dan McLachlan and
Sylvia Chen
Dan McLachlan
Affiliation:
Department of Mineralogy, The Ohio State University, Columbus, Ohio 43210
Sylvia Chen
Affiliation:
Department of Mineralogy, The Ohio State University, Columbus, Ohio 43210
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Abstract

Despite the fact that the many researchers, who have worked on the problem of indexing powder diffraction patterns, have made several important advances in the field and have proven in theory at least that any pattern can eventually be indexed, the procedures are frequently so laborious as to drive the investigator to despair. Starting with the knowledge that convolution functions and particularly self-convolutions ﹛so well known to crystallographers as Patterson functions) have the power to find the distances between points in space, and knowing that reciprocal space is filled with repeating distances, the present authors have evolved a graphical system for carrying out the previously discovered procedures in an easy and rapid manner.

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Type
Research Article
Information
Advances in X-Ray Analysis , Volume 14: Nineteenth Annual Conference on Applications of X-ray Analysis, August 5-7, 1970 , 1970, pp. 11 - 28
Copyright
Copyright © International Centre for Diffraction Data 1970

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References

Debye, P. and Scherrer, P., Phys. Zeit. 17 277 (1916)Google Scholar
Hull, A. W., Paper before the American Physical Society, October (1916), Phys. Rev. 9, 84. 564 (1917). Decribed in detail by Davey, W. P. “Study of Crystal Structure and Its Applications,” p. 111–170 McGraw-Hill, New York (1934)Google Scholar
Cullity, B. D., “Elements of X- ray Diffraction” p. 314, Addison-Wesley Publishing Co., Inc., Reading, Mass. (1959)Google Scholar
de Wolff, P. M., Indexing Powder Diffraction Patterns, in Mueller, W. M. and Fay, Marie, Editors, “Advances in X- ray Analysis” Vol. 6, p. 1–17 Plenum Press (1962)Google Scholar
Lipson, H., “Indexing Powder Photographs of Orthorhombic Crystals,” Acta Crystl. 43-45, 2 (1949)Google Scholar
Klug, Harold P. and Alexander, Leroy E. “X- ray Diffraction Procedures” p. 52 John Wiley and Sons, New York, (1954)Google Scholar
Henry, N. F. M., Lipson, H. and Wooster, W. A. “The Interpretation of X- ray Diffraction Photographs” p. 268–269 McMillan and Co., Ltd., (1961)Google Scholar
Henry, N. F. M. and Lonsdale, Kathleen, “International Tables for X- ray Crystallography,” Kynoch Press, Birmingham, England, (1952)Google Scholar
Azaroff, Leonid V. and Buerger, Martin “The Powder Method” p. 106–123 McGraw-Hill, New York (1958)Google Scholar
Robertson, M. J., “Interpretation of Patterson Diagrams” Nature 152 411–412 (1943)Google Scholar
Bragg, Lawrence, “Lightning Calculations with Light,” Nature 152 69–78 (1944)Google Scholar
Buerger, M. J., “Vector Space” p. 54–56 John Wiley and Sons, New York (1959)Google Scholar
Ito, T., Nature, 164, 755 (1949)Google Scholar
Reference (9) pages 111-118Google Scholar