In solution, the oxygen affinity of hemoglobin in the T quaternary structure is decreased in the presence of allosteric effectors such as protons and organic phosphates. To explain these effects, as well as the absence of the Bohr effect and the lower oxygen affinity of T-state hemoglobin in the crystal compared to solution, Rivetti C et al. (1993a, Biochemistry 32:2888-2906) suggested that there are high- and low-affinity subunit conformations of T, associated with broken and unbroken intersubunit salt bridges. In this model, the crystal of T-state hemoglobin has the lowest possible oxygen affinity because the salt bridges remain intact upon oxygenation. Binding of allosteric effectors in the crystal should therefore not influence the oxygen affinity. To test this hypothesis, we used polarized absorption spectroscopy to measure oxygen binding curves of single crystals of hemoglobin in the T quaternary structure in the presence of the "strong" allosteric effectors, inositol hexaphosphate and bezafibrate. In solution, these effectors reduce the oxygen affinity of the T state by 10-30-fold. We find no change in affinity (< 10%) of the crystal. The crystal binding curve, moreover, is noncooperative, which is consistent with the essential feature of the two-state allosteric model of Monod J, Wyman J, and Changeux JP (1965, J Mol Biol 12:88-118) that cooperative binding requires a change in quaternary structure. Noncooperative binding by the crystal is not caused by cooperative interactions being masked by fortuitous compensation from a difference in the affinity of the alpha and beta subunits. This was shown by calculating the separate alpha and beta subunit binding curves from the two sets of polarized optical spectra using geometric factors from the X-ray structures of deoxygenated and fully oxygenated T-state molecules determined by Paoli M et al. (1996, J Mol Biol 256:775-792).