Literature data and data from the electronic absorption spectra of dif
ferent S-ions in MX(6)(3-) (M = Ln, An, X = Cl, Br), AnCl(3), YF3: Ln(
3+), O2-, LaF3: Ln(3+), O2- and ThF4: Ln(3+), O2- systems are consider
ed. Calculations and experimental determination of the pi --> f and f
--> d transitions are analysed and indicate that the transition energi
es have the relationship pi --> d = f + f --> d. This corresponds to a
redox process for elements in the same oxidation state across the var
ious series and for the same set of ligands. This represents a new kin
d of systematics. With increasing atomic number, the values of pi -->
d transition energy follow two parabolic variations with a sharp maxim
um for the f(7) electron configuration. We propose to call this ''hump
-peak-hump'' systematics. This is a characteristic feature of pi --> d
energy transitions and also of the physical and chemical properties r
elated to the disproportionation reaction 2M(3+) --> M(4+) + M(2+) for
Ln and An in the trivalent state and for higher oxidation states in t
he case of An (IV, V, VI).