The expansion of a wedge of gas into vacuum with small angle in two-dimensional isothermal flow

Recent work has drawn attention to the possibilities that small angle electron scattering offers as a source of information about the micro-structure of vacuum condensed films. In particular, this serves as a good detector of discontinuities within the films. A review of a kinematical theory describing the small angle scattering from a thin film composed of discrete particles packed close together will be presented. Such a model could be represented by a set of cylinders packed side by side in a two dimensional fluid-like array, the axis of the cylinders being normal to the film and the length of the cylinders becoming the thickness of the film. The Fourier transform of such an array can be regarded as a ring structure around the central beam in the plane of the film with the usual thickness transform in a direction normal to the film. The intensity profile across the ring structure is related to the radial distribution function of the spacing between cylinders.

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Pinhole-type two-dimensional ultra-small-angle X-ray scattering on the micrometer scale

Journal of Synchrotron Radiation ◽

10.1107/s1600577513023205 ◽

2013 ◽

Vol 21 (1) ◽

pp. 1-4 ◽

Cited By ~ 7

Author(s):

Hiroyuki Kishimoto ◽

Yuya Shinohara ◽

Yoshio Suzuki ◽

Akihisa Takeuchi ◽

Naoto Yagi ◽

...

Keyword(s):

Small Angle ◽

Two Dimensional ◽

X Ray ◽

X Ray Scattering ◽

Detector Distance ◽

Medium Length ◽

Set Up ◽

Micrometer Scale ◽

Ray Scattering

A pinhole-type two-dimensional ultra-small-angle X-ray scattering set-up at a so-called medium-length beamline at SPring-8 is reported. A long sample-to-detector distance, 160.5 m, can be used at this beamline and a small-angle resolution of 0.25 µm−1was thereby achieved at an X-ray energy of 8 keV.

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Non-isothermal flow of polymers into two-dimensional, thin cavity molds: a numerical grid generation approach

International Journal of Heat and Mass Transfer ◽

10.1016/0017-9310(89)90130-0 ◽

1989 ◽

Vol 32 (3) ◽

pp. 415-434 ◽

Cited By ~ 45

Author(s):

S. Subbiah ◽

D.L. Trafford ◽

S.I. Güçeri

Keyword(s):

Grid Generation ◽

Isothermal Flow ◽

Two Dimensional ◽

Numerical Grid

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SLADS: a parallel code for direct simulations of scattering of large anisotropic dense nanoparticle systems

Journal of Applied Crystallography ◽

10.1107/s1600576717004162 ◽

2017 ◽

Vol 50 (3) ◽

pp. 951-958 ◽

Cited By ~ 6

Author(s):

Sen Chen ◽

Juncheng E ◽

Sheng-Nian Luo

Keyword(s):

Analytical Solutions ◽

Small Angle ◽

Real Space ◽

Small Angle Scattering ◽

Two Dimensional ◽

X Ray ◽

X Ray Scattering ◽

Angle Scattering ◽

Parallel Code ◽

Diffraction Patterns

SLADS(http://www.pims.ac.cn/Resources.html), a parallel code for direct simulations of X-ray scattering of large anisotropic dense nanoparticle systems of arbitrary species and atomic configurations, is presented. Particles can be of arbitrary shapes and dispersities, and interactions between particles are considered. Parallelization is achieved in real space for the sake of memory limitation. The system sizes attempted are up to one billion atoms, and particle concentrations in dense systems up to 0.36. Anisotropy is explored in terms of superlattices. One- and two-dimensional small-angle scattering or diffraction patterns are obtained.SLADSis validated self-consistently or against cases with analytical solutions.

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