1987
DOI: 10.1107/s0021889887086370
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Resolution of small-angle scattering with Soller collimation

Abstract: The effect of Soller collimation on the resolution characteristics of small-angle scattering spectrometers for which there is a limitation to the total length, as in the case of a pulsed source instrument, is examined. Any finite distance between the exit of the collimation and the sample position causes the resolution of the instrument to deteriorate. This results from a correlation in angle and position for points at the sample producing an extra (cross-correlation) term in the resolution function. Expressio… Show more

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Cited by 23 publications
(27 citation statements)
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“…In order to optimize neutron flux, the full width at half maximum full width at half maximum ͑FWHM͒ of is usually chosen to lie in the range between 10% and ϳ30% ͑⌬ / ͒, making it comparable to the angular resolution. 3 However, as mentioned, single crystal monochromators usually produce neutrons with a ⌬ / Ͻ1%, dramatically reducing the incident neutron flux. Although there are ways to increase ⌬ / , they usually involve a cost prohibitive redesign of the instrument.…”
Section: Introductionmentioning
confidence: 99%
“…In order to optimize neutron flux, the full width at half maximum full width at half maximum ͑FWHM͒ of is usually chosen to lie in the range between 10% and ϳ30% ͑⌬ / ͒, making it comparable to the angular resolution. 3 However, as mentioned, single crystal monochromators usually produce neutrons with a ⌬ / Ͻ1%, dramatically reducing the incident neutron flux. Although there are ways to increase ⌬ / , they usually involve a cost prohibitive redesign of the instrument.…”
Section: Introductionmentioning
confidence: 99%
“…In the present work, the angular resolution AO and the wavelength spread A,t are assumed to contribute independently to the resolution AQ, as is usually considered; see for example Mildner & Carpenter (1987) and Schmatz, Springer, Schelten & Ibel (1974). This is because, provided that there is no correlation between angle and wavelength in the beam incident on the collimator, the wavelength contribution AA to the experimental resolution AQ may be added later in quadrature to the geometric resolution AO (Windsor, 1981).…”
Section: Presentation Of the Problem Of Sansi Optimizationmentioning
confidence: 99%
“…Therefore, the use of HSCs is sometimes needed. The resolution function V q for the slit scattering geometry was derived by Mildner and Carpenter [6,7]. Figure 3 shows a comparison of the calculated V q for the N5-SANS and a pinhole geometry instrument (i.e., the NG3-SANS located at the NIST Center for Neutron Research) [8].…”
Section: The Resolution Functionmentioning
confidence: 99%