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://rjsvd.com/0023-4761/article/view/673411
DOI: https://doi.org/10.31857/S0023476123600209
EDN: https://elibrary.ru/JSAMDN
ID: 673411

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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

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