Desmearing small-angle scattering data by central moment expansions

被引：5

作者：

Huang, Guan-Rong ^{[1
]}

Tung, Chi-Huan ^{[2
]}

Chen, Meng-Zhe ^{[2
]}

Porcar, Lionel ^{[3
]}

Shinohara, Yuya ^{[4
]}

Wildgruber, Christoph U. ^{[5
]}

Do, Changwoo ^{[6
]}

Chen, Wei-Ren ^{[6
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Mat & Optoelect Sci, Kaohsiung 80424, Taiwan

[2] Natl Tsing Hua Univ, Dept Chem Engn, Hsinchu 30013, Taiwan

[3] Inst Laue Langevin, BP 156, F-38042 Grenoble 9, France

[4] Oak Ridge Natl Lab, Mat Sci & Technol Div, Oak Ridge, TN 37831 USA

[5] Oak Ridge Natl Lab, Neutron Technol Div, Oak Ridge, TN 37831 USA

[6] Oak Ridge Natl Lab, Neutron Scattering Div, Oak Ridge, TN 37831 USA

来源：

JOURNAL OF APPLIED CRYSTALLOGRAPHY | 2023年 / 56卷

关键词：

small-angle scattering; instrumental resolution; desmearing scattering data; central moment expansions; ORNSTEIN-ZERNIKE RELATION; RESOLUTION ERRORS;

D O I：

10.1107/S1600576723007963

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

This article proposes a robust method for desmearing 1D small-angle scattering (SAS) intensity profiles. Using the central-moment-expansion technique, smearing in SAS intensity profiles is achieved in a model-free manner, eliminating the need for presumptive input during the desmearing. This innovative approach enables data analysis of SAS data without the resolution being convoluted with the structural model, thereby facilitating faster implementation and performance of fitting functions directly from the scattering models.

引用

页码：1537 / 1543

页数：7

共 19 条

[1] ORNSTEIN-ZERNIKE RELATION FOR A DISORDERED FLUID [J].

BAXTER, RJ .

AUSTRALIAN JOURNAL OF PHYSICS, 1968, 21 (05) :563-&

[2] ORNSTEIN-ZERNIKE RELATION AND PERCUS-YEVICK APPROXIMATION FOR FLUID MIXTURES [J].

BAXTER, RJ .

JOURNAL OF CHEMICAL PHYSICS, 1970, 52 (09) :4559-+

[3]

Feigin L., 1987, Structure analysis by smallangle Xray and neutron scattering, DOI DOI 10.1007/978-1-4757-6624-0

[4]

Frisch H. L., 1964, EQUILIBRIUM THEORY

[5] The suite of small-angle neutron scattering instruments at Oak Ridge National Laboratory [J].

Heller, William T. ;

Cuneo, Matthew ;

Debeer-Schmitt, Lisa ;

Do, Changwoo ;

He, Lilin ;

Heroux, Luke ;

Littrell, Kenneth ;

Pingali, Sai Venkatesh ;

Qian, Shuo ;

Stanley, Christopher ;

Urban, Volker S. ;

Wu, Bin ;

Bras, Wim .

JOURNAL OF APPLIED CRYSTALLOGRAPHY, 2018, 51 :242-248

[6] CORRECTION OF RESOLUTION ERRORS IN SMALL ANGLE SCATTERING USING HERMITE FUNCTIONS [J].

HOSSFELD, F .

ACTA CRYSTALLOGRAPHICA SECTION A-CRYSTAL PHYSICS DIFFRACTION THEORETICAL AND GENERAL CRYSTALLOGRAPHY, 1968, A 24 :643-&

[7] Multiple scattering and resolution effects in small-angle neutron scattering experiments calculated and corrected by the software package MuScatt [J].

Jaksch, Sebastian ;

Pipich, Vitaliy ;

Frielinghaus, Henrich .

JOURNAL OF APPLIED CRYSTALLOGRAPHY, 2021, 54 (54) :1580-1593

[8] AN ITERATIVE METHOD OF SLIT-CORRECTING SMALL ANGLE X-RAY DATA [J].

LAKE, JA .

ACTA CRYSTALLOGRAPHICA, 1967, 23 :191-&

[9] ANALYSIS OF CLASSICAL STATISTICAL MECHANICS BY MEANS OF COLLECTIVE COORDINATES [J].

PERCUS, JK ;

YEVICK, GJ .

PHYSICAL REVIEW, 1958, 110 (01) :1-13

[10] GENERAL METHOD OF TREATING INSTRUMENTAL DISTORTION OF SPECTRAL DATA WITH APPLICATIONS TO X-RAY PHYSICS [J].

SAUDER, WC .

JOURNAL OF APPLIED PHYSICS, 1966, 37 (04) :1495-&

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