Direct analysis of small-angle smeared intensity tails. I. General results

Author:

Ciccariello Salvino,Sobry Roger

Abstract

The leading asymptotic terms of small-angle slit-smeared intensities, at large momentum transferh= (4π/λ)sin (θ/2), are obtained from the pinhole intensities by an integral transform whose kernel is the beam-height profile determined by the slits used in a Kratky camera. This profile, directly measurable, generally shows a trapezoidal shape characterized byQ0, the end point of its horizontal plateau, andQ1, the momentum-transfer value beyond which it vanishes. It results that any pinhole contribution, monotonically decreasing as 1/hα, after being smeared, decreases as 1/h(α−1)in the regionh<Q0, while the power exponent monotonically increases from (α − 1) to α in the outerhregion. The actual change explicitly depends on the slit length. On the contrary, the oscillatory damped contributions cos (hδ)/h4and sin (hδ)/h4, after being smeared, remain close, whatever the slit length, to those resulting from the smearing with an ideal slit.

Publisher

International Union of Crystallography (IUCr)

Subject

General Biochemistry, Genetics and Molecular Biology

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Geometric parameters of isotropic ensembles of right cylinders from the small-angle-scattering correlation function;Acta Crystallographica Section A Foundations of Crystallography;2010-08-05

2. Background subtraction and moments of the microscopic density fluctuation;Journal of Applied Crystallography;2002-03-22

3. Direct analysis of small-angle smeared intensity tails. II. Applications;Journal of Applied Crystallography;1999-08-01

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