Lorentz factor for time-of-flight neutron Bragg and total scattering.

IF 1.9 4区材料科学 Q3 CHEMISTRY, MULTIDISCIPLINARY Acta Crystallographica Section A: Foundations and Advances Pub Date : 2023-01-01 DOI:10.1107/S2053273322010427

Yuanpeng Zhang, Jue Liu, Matthew G Tucker

引用次数: 0

Abstract

The three fundamental origins of the Lorentz factor for neutron time-of-flight powder diffraction are revisited. A detailed derivation of the Lorentz factor is presented in the context of diffuse scattering modelling in reciprocal space when perfect periodicity is assumed, and the total scattering pattern is constructed in its discrete form - the factor in this case becomes 1/Q² (or d²). Discussion is also presented with respect to practical data reduction where a vanadium measurement is usually taken as the normalization factor (to account for various factors such as detector efficiency), and it is shown that the existence of the Lorentz factor is independent of such a normalization process.

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飞行时间中子Bragg和总散射的洛伦兹因子。

重新讨论了中子飞行时间粉末衍射的洛伦兹因子的三个基本来源。在互易空间中，假设完全周期性时，给出了洛伦兹因子的详细推导，并以离散形式构造了总散射图——在这种情况下，洛伦兹因子变为1/Q2(或d2)。讨论还提出了关于实际数据减少，其中钒测量通常被视为归一化因素(考虑各种因素，如探测器效率)，并表明，洛伦兹因素的存在是独立于这种归一化过程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Crystallographica Section A: Foundations and Advances CHEMISTRY, MULTIDISCIPLINARYCRYSTALLOGRAPH-CRYSTALLOGRAPHY

CiteScore

2.60

自引率

11.10%

发文量

419

期刊介绍： Acta Crystallographica Section A: Foundations and Advances publishes articles reporting advances in the theory and practice of all areas of crystallography in the broadest sense. As well as traditional crystallography, this includes nanocrystals, metacrystals, amorphous materials, quasicrystals, synchrotron and XFEL studies, coherent scattering, diffraction imaging, time-resolved studies and the structure of strain and defects in materials. The journal has two parts, a rapid-publication Advances section and the traditional Foundations section. Articles for the Advances section are of particularly high value and impact. They receive expedited treatment and may be highlighted by an accompanying scientific commentary article and a press release. Further details are given in the November 2013 Editorial. The central themes of the journal are, on the one hand, experimental and theoretical studies of the properties and arrangements of atoms, ions and molecules in condensed matter, periodic, quasiperiodic or amorphous, ideal or real, and, on the other, the theoretical and experimental aspects of the various methods to determine these properties and arrangements.