The specular reflectivity of periodic multilayers illuminated by a whi
te parallel X-ray beam is calculated versus photon energies over a ran
ge of 4 keV to 40 keV for fixed grazing incidence angles. The influenc
e of the anomalous dispersion and absorption terms in the atomic scatt
ering factors, respectively Delta f' and Delta f '' on the reflectivit
y profiles is discussed, Calculations show that the use of an X-ray tu
be as source and a Si(Li) diode as detector for peak reflectivity, ban
d pass and overlapping orders measurements is justified. By choosing t
he incidence angle, the Bragg peaks can be set at any energy, in parti
cular close to an absorption edge in order to observe the step reflect
ivity change due to abrupt index variations. Spiller's rules are invok
ed to explain these variations.