Statistical mechanics and small-angle scattering in one-dimensional aggregating fluids

1989 ◽  
Vol 93 (12) ◽  
pp. 4936-4940 ◽  
Author(s):  
D. J. Mitchell ◽  
Ian S. Barnes ◽  
B. W. Ninham
Keyword(s):  
Statistical Mechanics ◽  
Small Angle ◽  
Small Angle Scattering ◽  
One Dimensional ◽  
Angle Scattering

scholarly journals The canSAS standard for storing reduced one-dimensional small-angle scattering data in XML files

2008 ◽  
Vol 64 (a1) ◽  
pp. C554-C554
Author(s):  
P.R. Jemian ◽  
A.J. Jackson ◽  
S.M. King ◽  
K.C. Littrell ◽  
A.R.J. Nelson ◽  
...  
Keyword(s):  
Small Angle ◽  
Small Angle Scattering ◽  
Scattering Data ◽  
One Dimensional ◽  
Angle Scattering

Estimation of the density distribution from small-angle scattering data

2016 ◽  
Vol 49 (3) ◽  
pp. 856-865 ◽  
Author(s):  
Steen Hansen
Keyword(s):  
Experimental Data ◽  
Density Distribution ◽  
Small Angle ◽  
Small Angle Scattering ◽  
Single Step ◽  
Scattering Data ◽  
Maximum Dimension ◽  
Acta Cryst ◽  
One Dimensional ◽  
Angle Scattering

The one-dimensional density distribution for symmetrical scatterers is estimated from small-angle scattering data. The symmetry of the scatterers may be one dimensional (lamellar), two dimensional (cylindrical) or three dimensional (spherical). Previously this problem has been treated either by a two-step approach with the distance distribution as an intermediate [Glatter (1981).J. Appl. Cryst.14, 101–108] or in a single step using spherical harmonics [Svergun, Feigin & Schedrin (1982).Acta Cryst.A38, 827–835]. A combination of these two methods is presented here, where the density distribution is estimated using constraints without the explicit use of an intermediate distribution. A maximum entropy constraint is introduced for this problem and the results are compared with the results of the conventional smoothness constraint. Bayesian methods are used for estimation of the overall noise level of the experimental data and for the maximum dimension of the density distribution. The method described is tested on both simulated and experimental data and shown to provide reliable estimates for the Guinier radius and maximum dimension. In both cases the effects of minor deviations from the assumed symmetry as well as incorrect background subtraction are studied.

Resolution, truncation and smearing of the one-dimensional spin echo small-angle scattering instrument

2003 ◽  
Vol 36 (2) ◽  
pp. 333-337
Author(s):  
Peng Yuan ◽  
Jinkui Zhao
Keyword(s):  
Small Angle ◽  
Correlation Functions ◽  
Spin Echo ◽  
Small Angle Scattering ◽  
One Dimensional ◽  
Truncation Errors ◽  
Angle Scattering ◽  
The One ◽  
Neutron Momentum ◽  
Limited Coverage

The resolution of the spin echo small-angle neutron scattering (SESANS) instrument is limited by the precession Larmor fields and by the wavelength of the neutrons. It can reach to about a micrometer with thermal neutrons and to a few tens of micrometers with cold neutrons. Since a SESANS instrument will have a limited coverage in scattering angles or in neutron momentum transfers, there will be truncation errors in the measured correlation functions. These truncation errors increase with smaller scattering particles and they limit the smallest particle that can be effectively studied by the instrument. The off-plane scatterings in one-dimensional SESANS as well as the inhomogeneity of the precession fields cause smearing effects in the correlation functions. Desmearing procedures developed for the traditional small-angle scattering instruments can be used to restore the true parameters of the scattering particle.

Small angle scattering study of silica gels and zeolites

1993 ◽  
Vol 03 (C8) ◽  
pp. C8-393-C8-396
Author(s):  
T. P.M. BEELEN ◽  
W. H. DOKTER ◽  
H. F. VAN GARDEREN ◽  
R. A. VAN SANTEN ◽  
E. PANTOS
Keyword(s):  
Small Angle ◽  
Small Angle Scattering ◽  
Silica Gels ◽  
Angle Scattering ◽  
Scattering Study
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