General-case data interpretation of spin-echo small-angle neutron scattering

2003 ◽  
Vol 36 (5) ◽  
pp. 1177-1181
Author(s):  
Jinkui Zhao
Keyword(s):  
Correlation Function ◽  
Neutron Scattering ◽  
Small Angle ◽  
Small Angle Neutron Scattering ◽  
Spin Echo ◽  
Data Interpretation ◽  
Two Dimensions ◽  
Scattering Data ◽  
Pair Distance Distribution Function ◽  
The Relationship

Following previous works on data interpretation in the case of a one-dimensionally encoded spin-echo small-angle neutron scattering instrument when the scattering data are collected along a single direction, further studies for the more general case of data collection in two dimensions are presented. A mathematical relationship between the correlation function measured in two dimensions and the pair-distance distribution function of the scattering sample is established. The relationship between the correlation function measured in one and two dimensions is also examined.

Model calculations for the spin-echo small-angle neutron-scattering correlation function

2003 ◽  
Vol 36 (1) ◽  
pp. 109-116 ◽  
Author(s):  
Oktay Uca ◽  
Wim G. Bouwman ◽  
M. Theo Rekveldt
Keyword(s):  
Correlation Function ◽  
Neutron Scattering ◽  
Small Angle ◽  
Structure Factor ◽  
Small Angle Neutron Scattering ◽  
Spin Echo ◽  
Random Systems ◽  
Real Space ◽  
Exact Expression ◽  
Model Calculations

Spin-echo small-angle neutron scattering (SESANS) is a new kind of SANS technique enabling measurements to be made directly in real space from a range of a few nanometres up to micrometres. In this paper it is shown by calculations on models that SESANS measures correlations directly. Furthermore, the effect of polydispersity and structure factor has been studied. An exact expression for the correlation function has been derived in the case of random systems, such as fractal systems.

Analysis of spin-echo small-angle neutron scattering measurements

2008 ◽  
Vol 41 (5) ◽  
pp. 868-885 ◽  
Author(s):  
Robert Andersson ◽  
Léon F. van Heijkamp ◽  
Ignatz M. de Schepper ◽  
Wim G. Bouwman
Keyword(s):  
Correlation Function ◽  
Neutron Scattering ◽  
Small Angle ◽  
Small Angle Neutron Scattering ◽  
Spin Echo ◽  
Pair Correlation ◽  
Real Space ◽  
Density Correlation ◽  
Measurement Models ◽  
Space Technique

Spin-echo small-angle neutron scattering (SESANS) is, in contrast to conventional small-angle neutron scattering (SANS), a real-space technique. SESANS measures the projection of the density–density correlation function of a sample, rather than, as in SANS, its Fourier transform. This paper introduces a toolkit for interpretion and analysis of a SESANS measurement. Models that are used in SANS are discussed and translated into a SESANS formalism. These models can be used to analyse and fit the data obtained by SESANS. Dilute, concentrated, random, fractal and anisotropic density distributions are considered. Numerical methods used to calculate the projection from numerical data are presented, either by using Fourier transformation orviathe real-space pair correlation function.

Concepts in spin echo small-angle neutron scattering

2001 ◽  
Vol 34 (5) ◽  
pp. 639-645 ◽  
Author(s):  
Jinkui Zhao
Keyword(s):  
Distribution Function ◽  
Correlation Function ◽  
Neutron Scattering ◽  
Small Angle ◽  
Small Angle Neutron Scattering ◽  
Spin Echo ◽  
Length Distribution ◽  
Real Space ◽  
Vector Length ◽  
One Dimensional

Two-dimensional spin echo small-angle neutron scattering experiments that measure the vector-length distribution function, or pair-distance distribution function, in real space are discussed. The proposed diffractometer uses two cylindrically symmetric magnetic fields with conically shaped front and end faces to enable experiments in two dimensions. It also features a π/2 neutron spin flipper to make the effective analyzing direction of the analyzer perpendicular to the polarizing direction of the polarizer. The theoretical aspect of one-dimensional spin echo small-angle neutron scattering experiments is also explored. The relationship between the correlation function from one-dimensional experiments and the vector-length distribution function is established, and interpretation of this correlation function in real space is presented.

Autocorrelation function of the spin misalignment in magnetic small-angle neutron scattering: application to nanocrystalline metals

2013 ◽  
Vol 46 (3) ◽  
pp. 788-790 ◽  
Author(s):  
Andreas Michels ◽  
Jens-Peter Bick
Keyword(s):  
Neutron Scattering ◽  
Autocorrelation Function ◽  
Small Angle ◽  
Small Angle Neutron Scattering ◽  
Anisotropy Field ◽  
Real Space ◽  
Scattering Data ◽  
Stiffness Constant ◽  
The Mean ◽  
Cobalt And Nickel

Real-space magnetic small-angle neutron scattering data from nanocrystalline cobalt and nickel have been analysed in terms of a recently developed micromagnetic theory for the autocorrelation function of the spin misalignment [Michels (2010).Phys. Rev. B,82, 024433]. The approach provides information on the exchange-stiffness constant and on the mean magnetic `anisotropy-field' radius.

Characterization of alumina powder using multiple small-angle neutron scattering. I. Theory

1985 ◽  
Vol 18 (6) ◽  
pp. 467-472 ◽  
Author(s):  
N. F. Berk ◽  
K. A. Hardman-Rhyne
Keyword(s):  
Particle Size ◽  
Phase Shift ◽  
Neutron Scattering ◽  
Multiple Scattering ◽  
Small Angle ◽  
Small Angle Neutron Scattering ◽  
Volume Fraction ◽  
Scattering Data ◽  
Alumina Powder ◽  
Beam Broadening

Microstructural parameters of high-purity alumina powder are determined quantitatively throughout the bulk of the material using small-angle neutron scattering techniques. A unified theoretical and experimental approach for analyzing multiple scattering data is developed to obtain values for particle size, volume fraction and surface area. It is shown how particle size and volume fraction can be measured in a practical way from SANS data totally dominated by incoherent multiple scattering (`beam broadening'). The general phase-shift dependence of single-particle scattering is incorporated into the multiple scattering formalism, and it is also shown that the diffractive limit (small phase shift) applies even for phase shifts as large as unity (particle radii of order 1 μm). The stability of the Porod law against multiple scattering and the phase-shift scale are described, a useful empirical formula for analysis of beam broadening data is exhibited, and the applicability of the formulations to polydispersed systems is discussed.

Structure of Silicon-Substituted Polytricyclononene Films: Small-Angle Neutron Scattering Data

2018 ◽  
Vol 60 (10) ◽  
pp. 2097-2102
Author(s):  
V. T. Lebedev ◽  
N. P. Yevlampieva ◽  
M. V. Bermeshev ◽  
A. A. Szhogina
Keyword(s):  
Neutron Scattering ◽  
Small Angle ◽  
Small Angle Neutron Scattering ◽  
Scattering Data
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