One-dimensional mathematical treatment of small-angle X-ray scattering from a system of alternating lamellar phases

1983 ◽  
Vol 79 (11) ◽  
pp. 1593 ◽  
Author(s):  
Masaru Matsuo ◽  
Chie Sawatari ◽  
Masaki Tsuji ◽  
R. St. John Manley
Keyword(s):  
Small Angle ◽  
Mathematical Treatment ◽  
One Dimensional ◽  
X Ray ◽  
X Ray Scattering ◽  
Lamellar Phases ◽  
Ray Scattering

scholarly journals One-dimensional small-angle X-ray scattering tomography of dip-coated polyamide 6 monofilaments

2010 ◽  
Vol 17 (2) ◽  
pp. 257-262 ◽  
Author(s):  
P. Kraft ◽  
O. Bunk ◽  
F. A. Reifler ◽  
R. Hufenus ◽  
M. Heuberger ◽  
...  
Keyword(s):  
Small Angle ◽  
Polyamide 6 ◽  
One Dimensional ◽  
X Ray ◽  
X Ray Scattering ◽  
Ray Scattering

A High-Speed One-Dimensional Detector for Time-Resolved Small-Angle X-Ray Scattering: Design and Characterization

2010 ◽  
Vol 57 (3) ◽  
pp. 1706-1715 ◽  
Author(s):  
Patrick M De Lurgio ◽  
Gary R Drake ◽  
Andrew S Kreps ◽  
Guy Jennings ◽  
John T Weizeorick ◽  
...  
Keyword(s):  
Small Angle ◽  
High Speed ◽  
Time Resolved ◽  
One Dimensional ◽  
X Ray ◽  
X Ray Scattering ◽  
Ray Scattering

scholarly journals Simulation of small-angle X-ray scattering data of biological macromolecules in solution

2020 ◽  
Vol 53 (2) ◽  
pp. 536-539
Author(s):  
Daniel Franke ◽  
Nelly R. Hajizadeh ◽  
Dmitri I. Svergun
Keyword(s):  
Small Angle ◽  
Simulated Data ◽  
Biological Macromolecules ◽  
Two Dimensional ◽  
One Dimensional ◽  
X Ray ◽  
Absolute Scale ◽  
X Ray Scattering ◽  
Two Dimensional Images ◽  
Ray Scattering

This article presents IMSIM, an application to simulate two-dimensional small-angle X-ray scattering patterns and, further, one-dimensional profiles from biological macromolecules in solution. IMSIM implements a statistical approach yielding two-dimensional images in TIFF, CBF or EDF format, which may be readily processed by existing data-analysis pipelines. Intensities and error estimates of one-dimensional patterns obtained from the radial average of the two-dimensional images exhibit the same statistical properties as observed with actual experimental data. With initial input on an absolute scale, [cm−1]/c[mg ml−1], the simulated data frames may also be scaled to absolute scale such that the forward scattering after subtraction of the background is proportional to the molecular weight of the solute. The effects of changes of concentration, exposure time, flux, wavelength, sample–detector distance, detector dimensions, pixel size, and the mask as well as incident beam position can be considered for the simulation. The simulated data may be used in method development, for educational purposes, and also to determine the most suitable beamline setup for a project prior to the application and use of the actual beamtime. IMSIM is available as part of the ATSAS software package (3.0.0) and is freely available for academic use (http://www.embl-hamburg.de/biosaxs/download.html).

Construction of a Two-Dimensional Ultra-Small-Angle X-ray Scattering Apparatus

1997 ◽  
Vol 30 (5) ◽  
pp. 854-856 ◽  
Author(s):  
T. Konishi ◽  
E. Yamahara ◽  
T. Furuta ◽  
N. Ise
Keyword(s):  
Small Angle ◽  
Colloidal Silica ◽  
Two Dimensional ◽  
Detector Plane ◽  
Measured Intensity ◽  
One Dimensional ◽  
X Ray ◽  
X Ray Scattering ◽  
Oriented Samples ◽  
Ray Scattering

A two-dimensional ultra-small-angle X-ray scattering (USAXS) apparatus was constructed using a rotating-anode X-ray generator and a Bonse–Hart camera. In this camera, two sets of two channel-cut single crystals were used to collimate the X-ray beam in both the horizontal and the vertical planes. The measured intensity profile of the direct beam showed a high small-angle resolution in all directions on the detector plane. The full width at half-maximum was 17′′, indicating that the apparatus can be applied to structural analysis in the range up to 2 μm, even for directionally oriented samples. One- and two-dimensional USAXS profiles from colloidal silica powder agreed well with each other, showing that the desmearing procedure adopted in the previous one-dimensional USAXS experiments were justified.

Grazing-incidence small-angle X-ray scattering of soft and hard nanofabricated gratings

2012 ◽  
Vol 45 (5) ◽  
pp. 1038-1045 ◽  
Author(s):  
D. R. Rueda ◽  
I. Martín-Fabiani ◽  
M. Soccio ◽  
N. Alayo ◽  
F. Pérez-Murano ◽  
...  
Keyword(s):  
Small Angle ◽  
Nanoimprint Lithography ◽  
Incidence Angle ◽  
Critical Length ◽  
Grazing Incidence ◽  
One Dimensional ◽  
X Ray ◽  
X Ray Scattering ◽  
Characteristic Features ◽  
Ray Scattering

Grazing-incidence small-angle X-ray scattering (GISAXS) has been used to structurally characterize model hard and soft gratings of nanotechnological interest. The different gratings exhibit GISAXS patterns with characteristic features that can be associated with their level of order along the direction of periodicity and the length of the lines. Highly ordered gratings, made out of silicon by electron beam lithography, and those nanofabricated on spin-coated polymer films by nanoimprint lithography, exhibit characteristic semicircle-like GISAXS patterns with intensity spots periodically distributed on a semicircle whose radius is related to the incidence angle used. These gratings can be considered as one-dimensional crystalline lattices as provided by computer simulations. Less ordered polymer gratings prepared by the laser-induced periodic surface structuring method exhibit a GISAXS pattern characterized by periodic rod-like scattering maxima whose intensity decreases with increasing horizontal scattering angle. In this case the gratings can be considered as one-dimensional paracrystals. The transition from a rod-like to a semicircle-like GISAXS pattern has been simulated and attributed to the contribution of the form factor by changing the length of the line (ripple). A critical length value for the transition is located at around a few micrometres.

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