The results of a systematic study of Magnetic EXAFS at K edges of tran
sition metals (TM) and L edges of rare earth (RE) compounds are presen
ted. At the K edges of TM the magnetic EXAFS is in phase with the norm
al EXAFS in all studied cases and its intensity is related to the vari
ation of the mean magnetization. At L edges, magnetic EXAFS is not cor
related with the complex magnetic dichroism observed at the edge. By s
tudying the phase difference between the magnetic and normal EXAFS, we
observe that there exists an interplay between the contribution of th
e central atom (giving a contribution to the phase in quadrature with
normal EXAFS) and the magnetic neighbours (giving a contribution in ph
ase). Multiple excitations are frequently obseved in the spectra with
a greater sensitivity than in normal EXAFS.