The energetics of signal propagation between different functional domains (i.e. the binding sites for O 2 , inositol hexakisphospate (IHP), and bezafibrate (BZF)) of human HbA 0 was analyzed at different heme ligation states and through the use of a stable, partially heme ligated intermediate. Present data allow three main conclusions to be drawn, and namely: (i) IHP and BZF enhance each others binding as the oxygenation proceeds, the coupling free energy going from close to zero in the deoxy state to ؊3.4 kJ/mol in the oxygenated form; (ii) the simultaneous presence of IHP and BZF stabilizes the hemoglobin T quaternary structure at very low O 2 pressures, but as oxygenation proceeds it does not impair the transition toward the R structure, which indeed occurs also under these conditions; (iii) under room air pressure (i.e. pO 2 ؍ 150 torr), IHP and BZF together induce the formation of an asymmetric dioxygenated hemoglobin tetramer, whose features appear reminiscent of those suggested for transition state species (i.e. T-and R-like tertiary conformation(s) within a quaternary R-like structure).Binding properties of gaseous ligands to human HbA 0 1 are markedly influenced by the so-called third components (in addition to HbA 0 and heme's ligands), such as organic phosphates (e.g. 2,3-bisphosphoglycerate and inositol hexakisphosphate (IHP)), protons, and chloride ions (1-4), which interact with HbA 0 at sites topologically different (heterotropic sites) from the heme.These heterotropic functional effects have been previously investigated in thermodynamic (5, 6) and kinetic (7) terms, leading to the evidence of a network of interplays among different sites, such that linkage relationships can be put in evidence between different heterotropic ligands. However, a quantitative investigation of these effects has never been performed since the information is usually obtained through a differential influence of the non-heme binding properties for the deoxygenated and oxygenated derivatives of HbA 0 .We have recently reported on the IHP binding properties to some heme ligated forms of ferrous HbA 0 in the presence of 0.1 M chloride, showing the existence of two binding sites for IHP with a similar affinity independently of the heme ligand (8). In addition, a recent thermodynamic study has been carried out on the interaction of IHP with oxygenated HbA 0 (9), leading to the evidence that the inter-relationship between protons and IHP is regulated by the pK a shift of three classes of residues in HbA 0 , and it is characterized by a proton-linked balancing between the enthalpic and entropic contribution. Furthermore, in the last few years particular interest has been addressed toward the effect of bezafibrate (BZF) (see Fig. 1) on the O 2 -binding properties of HbA 0 , and mostly on the original observation that its effect is potentiated by the presence of organic phosphates (10, 11), indicating that the two heterotropic ligands bind to different sites (12). This observation is interesting, since it underlies the existence...