We have examined the redox equilibria of azidomethemoglobin (low-spin) and fluoromethemoglobin (high-spin). We have derived a modified Hill equation which includes the tetramer-dimer equilibrium of the oxidized form, and also generalized the two-state model to incorporate ligand binding to the ferriheme. The pH dependence of the redox Hill's constant for fluoromethemoglobin is the same as that for methemoglobin, demonstrating that this dependence and the marked cooperativity achieved (n = 2.2)are not coupled to changes of the ferriheme spin state. The redox Hill's constant for azidomethemoglobin, however, is as large as the oxygenation Hill's constant (n -2.7) and is also roughly pH independent.A chief source of the ongoing interest in ligand binding to hemoglobin (Hb) rests in the allosteric properties which result from its tetrameric nature (1, 2). In constructing a detailed scheme for the ligation process of Hb, the question can be formulated as to the existence and nature of an "allosteric trigger" (3-7), the mechanism by which the ligation (or oxidation) of five-coordinate, ferroheme induces conformational changes within the protein.The Hb tetramer can be regarded as having essentially two quaternary structures, T (unliganded) and R (liganded) (8-11). The most widely held mechanism for controlling the conformational equilibrium between R and T has been proposed by Perutz (3-7). Following suggestions of Williams (12) and Hoard (13,14), it includes a proposed coupling between protein conformation and the spin-state of iron: the five-coordinate high-spin (hs) Fe(II) of an unliganded heme appears to lie about 0.7 A out of the mean porphyrin plane, and is considered to be held in a stressed state by tension exerted through the protein. Upon oxygenation, the Fe atom becomes low-spin (ls) and appears to move into the porphyrin plane. The resultant movement then couples to the protein through motion of the proximal histidine.The cooperativity of the redox reaction varies markedly with pH and with the presence of organic phosphates (15)(16)(17), in contrast to the virtually constant cooperativity of ligation (1, 2). Methemoglobin (met-Hb), however, also exhibits a tertiary structure variability which is spin-state related (3-7): the high-spin Fe(III) in aquomet-Hb is slightly outof-plane, and thus in an intermediate structure, while the Fe(III) in hydroxymet-Hb is substantially low-spin and should more nearly lie in the porphyrin plane. It has been suggested the pH dependence of the redox cooperativity has two causes, the pH dependence of the met-Hb spin state and of salt bridges between the subunits (8-7, 17).Although a spin-state coupling contribution is quite appealing in its directness and simplicity, our results for oxygenation of coboglobin (cobalt-substituted Hb) and the redox equilibrium of manganese-substituted hemoglobin nevertheless suggested that Hb cooperativity is thot coupled to the spin-state of either unliganded (18-22) or oxidized (23, 24) forms. Evidence against stress in CoHb has also be...