COMPARISON OF THE NUMERICAL AND ANALYTICAL CALCULATIONS OF THE RESOLUTION FUNCTION FOR A POWDER NEUTRON DIFFRACTOMETER

K. A. Drozhzhov; Дрожжов К. А.; Yu. A. Kibalin; Кибалин Ю. А.; V. V. Tarnavich; Тарнавич В. В.; I. V. Golosovsky; Голосовский И. В.

doi:10.31857/S0023476123600209

COMPARISON OF THE NUMERICAL AND ANALYTICAL CALCULATIONS OF THE RESOLUTION FUNCTION FOR A POWDER NEUTRON DIFFRACTOMETER

Authors: Drozhzhov K.A.¹, Kibalin Y.A.², Tarnavich V.V.¹, Golosovsky I.V.¹
Affiliations:
1. St. Petersburg Nuclear Physics Institute named after B.P. Konstantinov, National Research Centre “Kurchatov Institute”, Gatchina, Leningrad oblast, 188300 Russia
2. Laboratoire Léon Brillouin UMR12 CEA-CNRS, Bât. 563 CEA Saclay, 91191 Gif sur Yvette Cedex, France
Issue: Vol 68, No 4 (2023)
Pages: 637-643
Section: ПРИБОРЫ, АППАРАТУРА
URL: https://journals.rcsi.science/0023-4761/article/view/137448
DOI: https://doi.org/10.31857/S0023476123600209
EDN: https://elibrary.ru/JSAMDN
ID: 137448

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription Access

Abstract
About the authors
References
Supplementary files
Statistics

Abstract

The resolution of the high-intensity diffractometer, developed for the PIK reactor (Gatchina), is calculated both numerically and analytically. These two approaches give different results. All neutron trajectories calculated numerically are limited by the geometry of optical elements. Therefore, the diffraction profile has a trapezoidal shape, which can be seen well at large diffraction angles. Analytical formulas yield a Gaussian line profile. The difference in profiles leads to a difference in the resolution curves calculated numerically and analytically. This difference is especially pronounced for the diffractometers with medium and low resolution, optimized to the maximum intensity.

Keywords

POWDER NEUTRON DIFFRACTOMETER, RESOLUTION FUNCTION

References

Ковальчук М.В., Воронин В.В., Гаврилов С.В. и др. // Кристаллография. 2022. Т. 67. № 5. С.785. https://doi.org/10.31857/S0023476122050095
Caglioti G., Paolioti A., Ricci F.P. // Nucl. Instrum. Methods. 1958. V. 3. P. 223. https://doi.org/10.1016/0369-643X(58)90029-X
Popovici M. // Nucl. Instrum. Methods. 1965. V. 36. P. 179. https://doi.org/10.1016/0029-554X(65)90422-2
Архипов Г.И., Садовничий В.А., Чубариков В.Н. Лекции по математическому анализу. М.: Высшая школа, 1999. 695 с.
Cooper M.J., Nathans R. // Acta Cryst. 1967. V. 23 (3). P. 357. https://doi.org/10.1107/S0365110X67002816
Bobrovskii V.I., Zhdakhin I.L. // J. Surface Investigation. X-ray, Synchrotron and Neutron Techniques 2007. V. 1 (4). P. 72. https://doi.org/10.1134/S102745100704012X
Hewat A.W. // Nucl. Instrum. Methods. 1975. V. 127. P. 361. https://doi.org/10.1016/S0029-554X(75)80006-1
Leo D. Cussen // Nucl. Instrum. Methods. 2016. V. 821. P. 122. https://doi.org/10.1016/j.nima.2016.03.052
Балагуров А.М., Голосовский И.В., Курбаков А.И. и др. // Дифрактометры на реакторе ПИК для решения фундаментальных и прикладных задач. РНСИ-КС, устные доклады. 2014. С. 50.
Puente-Orench I., Clergeau J.F., Martínez S. et al. // J. Phys.: Conf. Ser. 2014. V. 549. P. 012003. https://doi.org/10.1088/1742-6596/549/1/012003
Hansen T.C., Henry P.F., Fischer H.E. et al. // Meas. Sci. Technol. 2008. V. 19. P. 034001. https://doi.org/10.1088/0957-0233/19/3/034001
Suard E., Hewat A. // Scientific Review: The Super-D2B project at the ILL. Neutron News, 2001. V. 12 (4). P. 30. https://doi.org/10.1080/10448630108245006
Fischer P., Frey G., Koch M. et al. // Physica B. 2000. V. 276–278. P. 146. https://doi.org/10.1016/S0921-4526(99)01399-X
Fischer P., Keller L., Schefer J. et al. // Neutron News. 2000. V. 11 (3). P. 19. https://doi.org/10.1080/10448630008233743
Avdeev M., Hester J.R., Peterson V.K. et al. // Neutron News. 2009. V. 20 (4). P. 29. https://doi.org/10.1080/10448630903241100
Studer A.J., Hagen M.E., Noakes T.J. // Physica B. 2006. V. 385–386. P. 1013. https://doi.org/10.1016/j.physb.2006.05.323
Loopstra B.O. // Nucl. Instrum. Methods. 1966. V. 44. P. 181. https://doi.org/10.1016/0029-554X(66)90149-2
Kibalin I.A., Gukasov A. // Phys. Rev. Res. 2019. № 1. 033100. https://doi.org/10.1103/PhysRevResearch.1.033100
Gukasov A., Brown P.J. // J. Phys.: Condens. Matter. 2010. V. 22. P. 502201. https://doi.org/10.1088/0953-8984/22/50/502201
Wright A.F., Berneron M., Heathman S.P. // Nucl. Instrum. Methods. 1981. V. 180. P. 650. https://doi.org/10.1016/0029-554X(81)90113-0
Stone M.B., Niedziela J.L., Loguillo M.J. et al. // Rev. Sci. Instrum. 2014. V. 85. P. 085101. https://doi.org/10.1063/1.4891302
Wannberg A., Mellergard A., Zetterstrom P. et al. // Neutron Research. 1999. V. 8. P. 133. https://doi.org/10.1080/10238169908200050
Кибалин Ю.А., Голосовский И.В., Филимонов А.В. // Научно-технические ведомости СПбГПУ. 2008. Т. 56. С. 116. https://elibrary.ru/item.asp?id=12802818