1993
DOI: 10.1051/jp4:19938102
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Resolution effects and analysis of small-angle neutron scattering data

Abstract: A discussion of the instrumental smearing effects for small-angle neutron scattering (SANS) data sets is given. It is shown that these effects can be described by a resolution function, which describes the distribution of scattering vectors probed for the nominal values of the scattering vector. The resolution function is independent of the scattering cross section of the sample and can be calculated once and for all for any instrumental setting. For scattering from isotropic system the resolution function all… Show more

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Cited by 58 publications
(76 citation statements)
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“…The p(r) function is approximated by a sum of cubic spline functions, which are defined in the range 0 Յ r Յ D max . The Fourier transform of p(r) smeared by instrumental smearing 42,43 is fitted to the measured data by a leastsquares procedure with a smoothness constraint. We used the smallest value of D max that gives a smooth solution for p(r).…”
Section: Indirect Fourier Transformation Of Sans Datamentioning
confidence: 99%
“…The p(r) function is approximated by a sum of cubic spline functions, which are defined in the range 0 Յ r Յ D max . The Fourier transform of p(r) smeared by instrumental smearing 42,43 is fitted to the measured data by a leastsquares procedure with a smoothness constraint. We used the smallest value of D max that gives a smooth solution for p(r).…”
Section: Indirect Fourier Transformation Of Sans Datamentioning
confidence: 99%
“…Various theoretical models of particle-polymer mixtures have been utilized in previous work, aiming to quantify the various interactions and to establish how they affect the macroscopic properties [5][6][7][8][9][10][11] . Several experimental methods are available to elucidate the structure of particlepolymer mixtures, which can then be compared with the model predictions [12][13][14][15][16][17][18][19][20] . Most of them are based on some form of scattering, with light or neutrons.…”
Section: Introductionmentioning
confidence: 99%
“…Throughout the data analysis corrections were made for instrumental smearing. 34,35 For each instrumental setting the ideal scattering curves were smeared by the appropriate resolution function when the model scattering intensity was compared to the measured l(q) by means of leastsquares methods. 36 The resulting fit yields good agreement with the data over the entire q range as shown in Figure 4A and supported by 2 ϭ 2.6.…”
mentioning
confidence: 99%