Abstract
Unique methods for processing diffraction data, which guarantee extreme accuracy and reliability, have been implemented in the ASTRA 4.0 software package. The central (data-forming) element is a program for averaging intensities of repeated and equivalent reflections. The ASTRA averaging algorithm makes it possible to calculate the average intensity and its standard uncertainty, which correspond to normal distribution law for errors in data. Such data yield an unbiased estimate of the parameters of refined structural model at minimum reliability factors. To make the averaging program successfully operate, one must introduce all corrections for anisotropic effects into the reflection’s intensities. The following stages of investigation are considered: sample preparation; calibration of diffractometer; and correction for absorption, thermal diffuse scattering, and simultaneous reflections. A significant advantage of the proposed approaches is proven on several examples.
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REFERENCES
M. Kendall and A. Stewart, The Advanced Theory of Statistics, Vol. 3, Design & Analysis, & Time-Series (Charles Griffin, London, 1968).
A. P. Dudka, Crystallogr. Rep. 47 (1), 152 (2002).
A. Dudka, J. Appl. Crystallogr. 40, 602 (2007).
A. N. Tikhonov and V. Ya. Arsenin, Solutions of Ill-Posed Problems (Nauka, Moscow, 1979, 2nd ed.; Halsted Press, New York, 1977)
W. A. Paciorek, M. Meyer, and G. Chapuis, J. Appl. Crystallogr. 32, 11 (1999).
J. W. Pflugrath, Acta Crystallogr. D 55, 1718 (1999).
A. Dudka, J. Appl. Crystallogr. 43, 1440 (2010).
A. P. Dudka, Crystallogr. Rep. 60 (4), 601 (2015).
A. P. Dudka, Crystallogr. Rep. 60 (6), 984 (2015).
A. P. Dudka and B. V. Mill’, Crystallogr. Rep. 56 (3), 443 (2011).
A. P. Dudka, A. M. Balbashov, and I. S. Lyubutin, Cryst. Growth Des. 16, 4943 (2016).
A. P. Dudka, Crystallogr. Rep. 61 (2), 187 (2016).
T. K. Herman, S. C. Parks, and J. Scherschligt, J. Appl. Crystallogr. 46, 279 (2013).
L. Ribaud, G. Wu, Yu. Zhang, and P. Coppens, J. Appl. Crystallogr. 34, 76 (2001).
A. P. Dudka, I. A. Verin, and E. S. Smirnova, Crystallogr. Rep. 61 (4), 692 (2016).
B. T. M. Willis and A. W. Pryor, Thermal Vibrations in Crystallography (Cambridge Univ. Press, 1975).
X. Gonze, Phys. Rev. B 52, 1086 (2005).
A. P. Dudka, M. Kh. Rabadanov, and A. A. Loshmanov, Kristallografiya 34 (4), 818 (1989).
A. P. Dudka, O. N. Khrykina, N. B. Bolotina, et al., J. Alloys Compd. 692, 535 (2017).
R. H. Blessing, Acta Crystallogr. A 51, 33 (1995).
A. P. Dudka, Crystallogr. Rep. 50 (6), 1068 (2005).
R. H. Blessing, Cryst. Rev. 1, 3 (1987).
R. H. Blessing, J. Appl. Crystallogr. 30, 421 (1997).
W. Härdle, Applied Nonparametric Regression (Cambridge Univ. Press, 1990).
S. C. Abrahams and E. T. Keve, Acta Crystallogr. A 27, 157 (1971).
M. Renninger, Z. Phys. 106, 141 (1937).
R. M. Moon and C. G. Shull, Acta Crystallogr. 17, 805 (1964).
A. Dudka, J. Appl. Crystallogr. 43, 27 (2010).
J. M. Zuo, P. Blaha, and K. Schwarz, J. Phys.: Condens. Matter 9, 7541 (1997).
ACKNOWLEDGMENTS
This study was supported by the Federal Agency for Scientific Organizations (contract no. 007-ГЗ/Ч3363/26) in the part of the development of algorithms and programming. Study of dodecaboride crystals and diffractometer calibration were supported by the Russian Foundation for Basic Research, project nos. 16-02-00171 and 17-53-45107, respectively. Some part of experimental data were measured using equipment of the Shared Research Center of the Federal Scientific Research Centre “Crystallography and Photonics” of the Russian Academy of Sciences.
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Translated by Yu. Sin’kov
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Dudka, A.P. ASTRA 4.0 Program: Data Reduction for Obtaining Structure Results of Extreme Accuracy. Crystallogr. Rep. 63, 1051–1056 (2018). https://doi.org/10.1134/S1063774518050085
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DOI: https://doi.org/10.1134/S1063774518050085