Oxygen binding by the human hemoglobin tetramer in the T quaternary structure is apparently noncooperative in the crystalline state (Hill n = 1.0), as predicted by the two-state allosteric model of Monod, Wyman, and Changeux (MWC) (Mozzarelli et al., Nature 351:416-419, 1991; Rivetti et al., Biochemistry 32:2888-2906, 1993). However, cooperativity within the tetramer can be masked by a difference in affinity between the alpha and beta subunits. Indeed, analysis of the binding curves derived from absorption of light polarized along two different crystal directions, for which the projections of the alpha and beta hemes are slightly different, revealed an inequivalence in the intrinsic oxygen affinity of the alpha and beta subunits (p50(alpha) approximately 80 torr, p50(beta) approximately 370 torr at 15 degrees C) that compensates a small amount of cooperativity (Rivetti et al., Biochemistry 32:2888-2906, 1993). To further investigate this problem, we have measured oxygen binding curves of single crystals of hemoglobin (in a different lattice) in which the iron in the alpha subunits has been replaced by the non-oxygen-binding nickel(II). The Hill n is 0.90 +/- 0.06, and the p50 is slightly different for light polarized parallel to different crystal directions, indicating a very small difference in affinity between the two crystallographically inequivalent beta subunits. The average crystal p50 is 110 +/- 20 torr at 15 degrees C, close to the p50 of 80 torr observed in solution, but about threefold less than the p50 calculated by Rivetti et al. (Biochemistry 32:2888-2906, 1993) for the beta subunits of the unsubstituted tetramer. These results suggest that Rivetti et al., if anything, overestimated the alpha/beta inequivalence. They therefore did not underestimate the cooperativity within the T quaternary structure, when they concluded that it represents a small deviation from the perfectly noncooperative binding of an MWC allosteric model. Our conclusion of nearly perfect MWC behavior for binding to the T state of unmodified hemoglobin raises the question of the relevance of the large T-state cooperativity inferred for cyanide binding to partially oxidized hemoglobin (Ackers et al., Science 255:54-63, 1992).