Considerable controversy remains as to the functional and structural properties of the asymmetric alpha1beta1 half-oxygenated intermediate of human hemoglobin, consisting of a deoxygenated and an oxygenated dimer. A recent dimer-tetramer equilibrium study using [Zn(II)/Fe(II)-O(2)] hybrid hemoglobins, in which Zn-protoporphyrin IX mimics a deoxyheme, showed that the key intermediate, [alpha(Fe-O(2))beta(Fe-O(2))][alpha(Zn)beta(Zn)], exhibited an enhanced tetramer stability relative to the other doubly oxygenated species. This is one of the strongest findings in support of distinctly favorable intra-dimer cooperativity within the tetramer. However, we present here a different conclusion drawn from direct O(2) binding experiments for the same asymmetric hybrid, [alpha(Fe)beta(Fe)][alpha(Zn)beta(Zn)], and those for [alpha(Fe)beta(Zn)](2) and [alpha(Zn)beta(Fe)](2). In this study, the O(2) equilibrium curves for [alpha(Fe)beta(Fe)][alpha(Zn)beta(Zn)] were determined by an O(2)-jump stopped-flow technique to circumvent the problem of dimer rearrangement, and those for [alpha(Fe)beta(Zn)]( 2) and [alpha(Zn)beta(Fe)]( 2) were measured by using an Imai apparatus. It was shown that the first and second O(2) equilibrium constants for [alpha(Fe)beta(Fe)][alpha(Zn)beta(Zn)] are 0.0209 mmHg(-1) and 0.0276 mmHg(-1), respectively, that are almost identical to those for [alpha(Fe)beta(Zn)](2) or [alpha(Zn)beta(Fe)](2). Therefore, we did not observe large difference among the asymmetric and symmetric hybrids. The discrepancy between the present and previous studies is mainly due to previously observed negative cooperativity for [alpha(Fe)beta(Zn)](2) and [alpha(Zn)beta(Fe)](2), which is not the case in our direct O(2) binding study.