## 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 |

### From inside the book

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Page 11

2 shows the

correctly falls to zero at the sample points. With the exception of the spline case,

the reconstructions are more tightly constrained in the middle of the data interval

than at ...

2 shows the

**error bars**on a logarithmic scale for each case. The**error bar**correctly falls to zero at the sample points. With the exception of the spline case,

the reconstructions are more tightly constrained in the middle of the data interval

than at ...

Page 13

h 1 1 1 1 1 1 r -50 0 50 100 150 200 250 300 X (a): Interpolant and

Gaussian RBF (Evidence = 847db, x„ = 61) ~i 1 1 1 1 1 1 r -50 0 50 100 150 200

250 300 X (b): Interpolant and

h 1 1 1 1 1 1 r -50 0 50 100 150 200 250 300 X (a): Interpolant and

**error bars**forGaussian RBF (Evidence = 847db, x„ = 61) ~i 1 1 1 1 1 1 r -50 0 50 100 150 200

250 300 X (b): Interpolant and

**error bars**for Spline RBF (Evidence = 121 db) ...Page 102

Maximum Entropy addresses the following problem: what is the "smoothest", "

least informative", positive distribution (the Image) compatible with a given set of

constraints (the Data: e.g. experimental data, with suitable

prior ...

Maximum Entropy addresses the following problem: what is the "smoothest", "

least informative", positive distribution (the Image) compatible with a given set of

constraints (the Data: e.g. experimental data, with suitable

**error bars**) and ourprior ...

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Acta Cryst 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 elastic scattering energy error bars example experiment experimental Figure Fourier transform Gaussian GENIE GENIE-V3 histogram inelastic instrument intensity interpolation inverse ISIS least squares likelihood function magnetic structure magnetisation density Markov chain 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 probability procedure quasielastic 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 UNIRAS unit cell vanadium vector wavelength workspace