Abstract
We show that if a quark (or antiquark) with mass ma is replaced by a heavier quark (or antiquark) with mass mb in a quarkonium state, the increase of the mass of the quarkonium system is substantially less than mbma due to the increase of the binding energy (in some cases it is only 16 of mbma). It is shown that for the heavy quarkonia the F-family mesons get close to the D-family mesons for a large class of potentials. The spectrum of all known mesons is explained if the change of the binding energy is taken into account.