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X-Ray Compton Scattering$
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Malcolm Cooper, Peter Mijnarends, Nobuhiro Shiotani, Nobuhiko Sakai, and Arun Bansil

Print publication date: 2004

Print ISBN-13: 9780198501688

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198501688.001.0001

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Momentum density studies by the Maximum Entropy Method

Momentum density studies by the Maximum Entropy Method

(p.188) 7 Momentum density studies by the Maximum Entropy Method
X-Ray Compton Scattering

L. Dobrzyński

Oxford University Press

This chapter discusses the Maximum Entropy Method (MEM). It begins with a general introduction to MEM, then develops the application to the reconstruction of the three-dimensional electron density distribution from the measured one dimensional projections (the directional Compton profiles) using both the MEED code and the exact solution method. Statistical errors in the reconstruction maps are considered and results for a number of real data sets presented. The chapter, which has 30 references, forms an introduction to MEM generally for x-ray practitioners.

Keywords:   Bayesian analysis, Compton profile, error propagation, MEM algorithm

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