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

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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.

作者简介

K. Drozhzhov

St. Petersburg Nuclear Physics Institute named after B.P. Konstantinov, National Research Centre “Kurchatov Institute”, Gatchina, Leningrad oblast, 188300 Russia

Email: drozhzhov_ka@pnpi.nrcki.ru
Россия, Ленинградская обл., Гатчина

Yu. Kibalin

Laboratoire Léon Brillouin UMR12 CEA-CNRS, Bât. 563 CEA Saclay, 91191 Gif sur Yvette Cedex, France

Email: drozhzhov_ka@pnpi.nrcki.ru
France, Gif-sur-Yvette

V. Tarnavich

St. Petersburg Nuclear Physics Institute named after B.P. Konstantinov, National Research Centre “Kurchatov Institute”, Gatchina, Leningrad oblast, 188300 Russia

Email: drozhzhov_ka@pnpi.nrcki.ru
Россия, Ленинградская обл., Гатчина

I. Golosovsky

St. Petersburg Nuclear Physics Institute named after B.P. Konstantinov, National Research Centre “Kurchatov Institute”, Gatchina, Leningrad oblast, 188300 Russia

编辑信件的主要联系方式.
Email: drozhzhov_ka@pnpi.nrcki.ru
Россия, Ленинградская обл., Гатчина

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