The contribution of the porphyrin skeleton to the potential energy surface of metalloporphyrins is calculated by the semiempirical method of quantum mechanical extension of the consistent force field to ir electron molecules. This calculation makes it possible to correlate the observed structure of metalloporphyrins with the strain energy of the porphyrin skeleton. It is found that the out-of-plane metal displacement in pentacoordinate heme systems is due to both the restricted size of the porphyrin hole and the "1-3" steric interaction between the axial ligand and the heme nitrogens. The main components of the active site of hemoglobin are simulated by a histidine-heme-oxygen system. The energy surface of this system provides a quantitative explanation for the control of ligand binding by hemoglobin. It is shown that the heme acts as a diaphragm, designed to provide simultaneous binding to the histidine and the sixth ligand under the steric requirements of the 1-3 interactions. The dependence of the hemoglobin potential surface on the distance between the proximal histidine and the heme plane is evaluated for the R and T states, using the calculated heme potential and the observed energy of hemeheme interaction.X-ray and biochemical experiments have provided detailed information about the structure of hemoglobin and its biological functions (for a recent review see ref. 1). Many studies have been concerned with the analysis of the molecular origin of the heme-heme interaction (the increase in the affinity of the fourth bound oxygen relative to that of the first bound oxygen). Perutz and coworkers (2-5) compared the structures of the high and low oxygen affinity states of hemoglobin. They suggested that in the low oxygen affinity state the protein pulls the iron away from the heme plane, and opposes the transition to the low spin state which is needed for combination with oxygen. Hopfield (6) used a simple model of two springs to suggest that the heme-heme interaction energy is distributed among many degrees of freedom in the protein and not in the relatively rigid heme. Experiments (7, 8) have not found evidence for significant strain in the heme group.At the present time, despite the above studies, the role of the active site of hemoglobin in the control of oxygen binding is not fully understood. For example, the reasons for the change in heme geometry upon binding of oxygen and the relation between the heme tension, spin state, and oxygen affinity are still unclear. It is also questionable whether or not the heme group can be considered a rigid system. The analysis of these problems requires information about the energy surface of the heme group and such information cannot be obtained directly from structural or spectroscopic studies.This work uses energy calculations to study the correlation between the energy and structure of the active site system shown in Fig. 1. These quantitative calculations make it possible to examine the molecular basis for the control of oxygen binding by hemoglobin. It is f...