In EXAFS analysis of Rb-doped silicate glasses and of cetyltrimethylammoniu
m bromide (CTAB) adsorbed on carbon black, the spline approximation of the
atomic background is inadequate. Instead, a residuum obtained from absorpti
on spectra of Rb and Br ions in aqueous solution after removal of the struc
tural signal is used. Another iteration cycle whereby the residuum from one
sample in the atom-ion pair is used in analysis of the other one, gives sa
tisfactory convergence. In this way, definite FEFF models of Rb glass and C
TAB are constructed, and a better approximation for atomic absorption obtai
ned as residual.