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5 Post-Edge Background Function

 The \ensuremath{\mu_{0}(E)} term in Eq. (1) represents the absorption due to the deep core level of an isolated absorbing atom in the solid. This so-called embedded atom absorption will differ from the absorption for a truly isolated atom because of the overlap of electron orbitals of neighboring atoms. It should still be a smoothly varying function of energy, so that it can be well-separated from the oscillatory part of the total absorption, but its actual form is poorly known. Current state-of-the-art calculations of \ensuremath{\mu_{0}(E)} can get only qualitative agreement with experiments, and their use in analysis is not yet reliable.

The reluctantly accepted practice in XAFS analysis is to use as the background function \ensuremath{\mu_{0}(E)} ``some reasonably smooth function which, in some manner, approximates the original \ensuremath{\mu(E)}''. All background removal techniques use this approach, and the differences between different techniques lies in how this rather qualitative criterion is interpreted. In this chapter I'll explain how autobk interprets the background criterion.

The main principle of autobk is to apply information theory to the separation of the background and XAFS. This allows the qualitative background criteria to be made quantitative and codified. The bearing of information theory on XAFS will be discussed in section 5.2



 
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