1976
DOI: 10.1107/s0021889876010996
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On the determination of unit-cell dimensions from inaccurate powder diffraction data

Abstract: An upper limit for the volume of unit cells which can be verified by the de Wolff figure of merit [Wolff, P. M. de, J. Appl.Cryst. (1968). 1, 108–113] is given as a function of the errors in observed d spacings. In the use of the de Wolff figure of merit the requirement of information about the errors of measurement is emphasized. A number of examples are given where the unit cells that are found cannot be accepted as true, because of the lack of accuracy in the published data.

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Cited by 60 publications
(19 citation statements)
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“…The positions of the highest d-spacing reflections were manually measured for indexing purposes. Using the autoindexing program TREOR (Werner, 1976), the crystal lattice was indexed to an orthorhombic cell a = 7.1675, b = 7.0919, c = 8.8251 A (see supplementary material*), indicating a V'2 by X/2 increase in cell size within the ab plane. This ease of lattice parameter determination from first principles is typical of time-of-flight powder diffraction experiments when the highest dspacing information is available.…”
Section: The T%phase Structurementioning
confidence: 99%
“…The positions of the highest d-spacing reflections were manually measured for indexing purposes. Using the autoindexing program TREOR (Werner, 1976), the crystal lattice was indexed to an orthorhombic cell a = 7.1675, b = 7.0919, c = 8.8251 A (see supplementary material*), indicating a V'2 by X/2 increase in cell size within the ab plane. This ease of lattice parameter determination from first principles is typical of time-of-flight powder diffraction experiments when the highest dspacing information is available.…”
Section: The T%phase Structurementioning
confidence: 99%
“…1. X-ray diffraction peak positions of Li 2 Mn(PO 3 ) 4 /C can be successfully indexed with an orthorhombic lattice using the program TREOR [19]. The lattice parameters were determined to be a=9.426 Å, b=9.271 Å, and c=10.101 Å, which are a little larger than the value reported previously [14] but agree much better with the values recently reported by Moutataouia et al [15].…”
Section: Resultsmentioning
confidence: 93%
“…We deliberately neglected the lower-symmetry systems (monclinic and triclinic) because the density of popu- lation of the observed lines is rather low, indicating a symmetry not less than orthorhombic. Satisfactory agreement for all the experimental lines was obtained for hexagonal, tetragonal and orthorhombic cells (only the cubic system failed with meaningfully small cells): to decide among the best ones purely on the basis of the various criteria proposed as indices of merit (de Wolff, 1968(de Wolff, , 1972Werner, 1976;Smith & Snyder, 1979) proved to be very difficult. However, a careful evaluation of the details of the texture displayed in the Wallace-Ward camera photographs gave a unique unit cell.…”
Section: Cell Datamentioning
confidence: 94%