Ewald construction and resolution function for rocking-curve small-angle neutron scattering experiments

2007 ◽  
Vol 40 (5) ◽  
pp. 959-963 ◽  
Author(s):  
Nikolaos Daniilidis ◽  
Ivo Dimitrov ◽  
Xinsheng Sean Ling

A geometrical Ewald construction for small-angle neutron scattering experiments from line-like objects with a preferential orientation of the lines, such as flux-line lattices in type-II superconductors, is described. The Ewald construction offers a straightforward way to interpret rocking-curve experiments. It allows calculation of the resolution function in rocking-curve measurements. The resolution function for a given instrumental geometry can be readily computed by performing two numerical integrations.

2008 ◽  
Vol 41 (1) ◽  
pp. 161-166 ◽  
Author(s):  
Annie Brûlet ◽  
Vincent Thévenot ◽  
Didier Lairez ◽  
Sébastien Lecommandoux ◽  
Willy Agut ◽  
...  

The main characteristics of the very small angle neutron scattering spectrometer (VSANS) under construction at the Laboratoire Léon Brillouin are a multibeam pinhole collimator converging onto an image plate detector. By combining tiny collimation (diaphragms of around 1 or 2 mm in diameter) with the small pixel size of the detector (0.15 × 0.15 mm), very high resolution measurements can be achieved. The resolution function of the instrument contains a contribution from gravity, which is reduced by the intermediate masks of the collimator. Owing to the relatively short length of the VSANS instrument (around 14 m), this effect remains weak, in good agreement with the predictions. With a prototype multibeam collimator, an incident wavelength of 0.9 nm and the detector located at 6 m from the sample, it is possible to accessqvalues as low as 4 × 10−3 nm−1with very highqresolution. Promising preliminary experiments with highqresolution are reported, which open up new fields to the SANS technique.


1997 ◽  
Vol 79 (3) ◽  
pp. 487-490 ◽  
Author(s):  
M. R. Eskildsen ◽  
P. L. Gammel ◽  
B. P. Barber ◽  
A. P. Ramirez ◽  
D. J. Bishop ◽  
...  

1994 ◽  
Vol 376 ◽  
Author(s):  
Paul D. Butler ◽  
L.J. Magid ◽  
William A. Hamilton ◽  
P.J. Kreke ◽  
Johnb. Hayter

ABSTRACTWe have used small angle neutron scattering (SANS) to study solutions of cetyltrimethylammonium 2,6-dichlorobenzoate (2,6) at rest and as a function of shear. These solutions are Newtonian, and up to a concentration of at least 100mM contain spherical micelles. Comparison with viscoelastic solutions of the closely related, and much studied, cetyltrimethylammonium 3,5-dichlorobenzoate (3,5) is made. While spheres are not expected to align under shear, a shear induced sphere to rod transition has been postulated for this system. In the results presented here, no shear induced sphere to rod transition was observed even at the highest accessible shear rate. Addition of sufficient supporting electrolyte (up to 1M NaCl) does cause such a transition in the quiescent solution. Hoffmann et al. have seen what they refer to as the formation of a shear induced structure (SIS or type II micelles) on similar systems where short rods form in the absence of supporting electrolyte. Shearing of the salted system produces rapid though not spectacular alignment, with no evidence of a SIS forming.


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