The characteristic properties of hemoglobin are due to the manner in which its individual subunits bond to one another first as an ␣ dimer and then as an ␣ 2  2 tetramer. These subunit interactions also control the binding of allosteric regulatory molecules because of sites they create as they interact with one another. Some of these interactions in hemoglobin change in the transition between its tetrameric oxy (R, for "relaxed") or deoxy (T, for "tense") conformational states; adult human hemoglobin A (␣ 2  2 ) functions as the physiological carrier of O 2 between the arterial and the venous circulation in these two conformations, respectively. The transition between these quaternary states is accompanied by concerted changes in the tertiary structure of the individual subunits upon O 2 binding known as cooperativity, which is responsible for the sigmoidal shape of the O 2 equilibrium curve (1-3). Myoglobin delivers O 2 during muscle contraction, as described in a recent minireview (4), and it has a hyperbolic O 2 equilibrium profile, i.e. no cooperative interactions because it is a single subunit protein. In tetrameric hemoglobin certain sites between the subunits at the quaternary level have the precise geometry or chemical reactivity to bind 2,3-diphosphoglycerate (2,3-DPG), 1 protons, and chloride preferentially to the deoxy conformational state and hence shift the equilibrium away from the oxy conformation, thereby favoring O 2 release. In each quaternary tetramer the oxy and deoxy dimer pairs interact differently to form the two types of tetramer-dimer interfaces in the R and T states. The strength of these interactions influences O 2 binding or release in these respective states and determines how easily the tetramer dissociates to dimers. In human Hb, dimers themselves are held together by strong interactions between their ␣-and -subunits that do not differ significantly for the two R and T conformations.