## Neutron Scattering Data Analysis 1990: Invited and Contributed Papers from the Conference on Neutron Scattering Data Analysis Held at The Rutherford Appleton Laboratory, Chilton, 14-16 March 1990 |

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Page 46

In Section 4 we consider three specific examples for optimising the instrumental

criterion as advocated by conventional thinking; (ii) the second most simple case,

...

In Section 4 we consider three specific examples for optimising the instrumental

**resolution function**: (i) the simplest case, which leads to the same optimisationcriterion as advocated by conventional thinking; (ii) the second most simple case,

...

Page 49

Examples Before we can start any data analysis, and consider the likelihood

function or the prior p.d.f., we must ... The height T of this Gaussian

its ...

Examples Before we can start any data analysis, and consider the likelihood

function or the prior p.d.f., we must ... The height T of this Gaussian

**resolution****function**is determined by the length of time for which the data are collected, andits ...

Page 53

<r where R(co) is the Fourier transform of the

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 ...

<r where R(co) is the Fourier transform of the

**resolution function**R(x), and a2 is ameasure 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 ...

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algorithm applications approach atoms Bayesian beam Bragg peaks calculated configuration constraints coordinates corresponding cost function cross-section crystallographic Data Anal data analysis data set defined detector bank determined diffraction data diffractometer distribution function elastic scattering energy error bars example experiment experimental Figure Fourier transform Gaussian GENIE GENIE-V3 histogram inelastic instrument intensity inverse ISIS least squares likelihood function magnetic structure magnetisation density matrix MaxEnt reconstruction Maximum Entropy McGreevy measured method molecular Monte Carlo neutron diffraction neutron scattering normalisation normalization obtained optimisation optimization problems parameters Patterson map performed Phys plot positive powder diffraction presented at Neutron prior procedure quasielastic radial distribution functions refinement reflectivity data resolution function ROTAX Rutherford Appleton Laboratory sample scan scattering law shown simulated annealing single crystal solution spectra spectrometer spectrum statistical structure factor symmetry technique temperature time-of-flight truncation UNIRAS unit cell vanadium vector wavelength workspace