Neutron Scattering Data Analysis 1990, Proceedings of the Conference on Neutron Scattering, 14-16 March 1990, Rutherford Appleton Laboratory, UKM. W. Johnson |
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Page 49
... function or the prior p.d.f. , we must formulate the precise question we wish to answer . Formally , we must define ... resolution function T.exp ( -x2 / 2w2 ) . The height T of this Gaussian resolution function is determined by the ...
... function or the prior p.d.f. , we must formulate the precise question we wish to answer . Formally , we must define ... resolution function T.exp ( -x2 / 2w2 ) . The height T of this Gaussian resolution function is determined by the ...
Page 50
... resolution function one would need to increase the number of neutrons counts by many orders of magnitude ! 4.2 The second most simple case Next , let us move on to consider a slightly more complicated case . Let the situation be exactly ...
... resolution function one would need to increase the number of neutrons counts by many orders of magnitude ! 4.2 The second most simple case Next , let us move on to consider a slightly more complicated case . Let the situation be exactly ...
Page 53
... resolution function R ( x ) , and o2 is a measure of the average number of counts in the data . This tells us that if we do not have a functional form for the scattering law , then we should express it in terms of a Fourier series ( the ...
... resolution function R ( x ) , and o2 is a measure of the average number of counts in the data . This tells us that if we do not have a functional form for the scattering law , then we should express it in terms of a Fourier series ( the ...
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additional algorithm allows analysis angle applications approach atoms average beam Bragg calculated cell combinatorial optimization configuration constant coordinates correction corresponding cost counts cross-section crystal deconvolution defined density dependent described detector determined diffraction direct display distribution effects elastic scattering energy error estimate example experiment experimental Figure final Fourier function give given inelastic intensity ISIS known limit magnetic Maximum Entropy measured method neutron neutron scattering normalization obtained optimization parameters particular peak performed Phys physical plot positive possible powder presented prior probability problem procedure radial distribution functions range reconstruction References refinement reflections resolution sample scale scan shown shows simulated annealing single solution space spectrum standard statistical structure factor temperature transfer transform unit usually vanadium vector wavelength