Dear Jana, (and Alojz and Iztok), Thanks! I think that will help me a lot! I've looked at all of these, but it may take me some time to comprehend it all. The MPE in the CeO2 data looks quite a bit like features I've seen in other rare-earth oxides. I thought that this sharp feature wouldn't really damaging the EXAFS determination of the RE-O distance/coordination number, but it's certainly better to (try to?) model them than do nothing. I'm still confused about the right way to handle these in practice. It seems that a choice of "arc-tangent", "lorenztian", or "mimic the shape of the main edge" should work for most cases -- do you agree? It also seems there ought to be a reasonable way for the algorithm to pick which of these lineshapes to use. Anyway, thanks again!! --Matt