The purpose of this study is to compare the investigations of amorphous magnetic ribbons combining the usual structural methods with physical impedance spectroscopy (PIS) and X-ray photoelectron spectroscopy (XPS), The samples are commercially available rapidly quenched ribbons for torroidal transformers, Two types of ribbons were thermally treated below the temperature of amorphous-crystalline phase transition. Two binding energies of B 1s electrons are determined by XPS in one of the as-quenched ribbons, which show impedance time constant spectra without dispersion, The other ribbon, possessing only one value of binding energy of the B 1s electron (B-I state) in a rapidly as-quenched state, undergoes transition to a still amorphous state but acquires high electromagnetic losses and show another value of the binding energy of the B 1s electron (B-II state) after the heat-treatment procedure, This latter type of ribbons show structural impedance spectra containing various time constant values. (C) 1997 Academic Press.