The photoinduced linear dichroism of absorption changes resulting from photolysis of the complex between heme a3 of the cytochrome oxidase and CO is studied. The experiments started from isotropic solutions or suspensions of the enzyme both in its isolated form and in mitochondria. The anisotropy responsible for the linear dichroism was induced by excitation with a flash of linearly polarized light. The dichroic ratios observed with various systems; polymerized enzyme in solution, enzyme in mitochondria and in submitochondrial particles (at 20 degrees C as well as at liquid N2-temperature) all approached a value of 4/3 which characterizes a chromophore which is circularly degenerate. Therefrom we conclude that the interaction of heme a3 with its microenvironment within the protein does not break its four-fold symmetry. The experiments with mitochondria and submitochondrial particles suspended in aqueous buffer revealed similarly high dichoric ratios without any dichroic relaxation other than a rather slow one which could be attributed to the rotation of the whole organelle in the suspending medium. Therefrom we conclude that the cytochrome oxidase either is totally immobilized in the membrane, or that it carries out only limited rotational diffusion around a single axis coinciding with the symmetry axis of heme a3. In the light of independent evidence for a transmembrane arrangement of the oxidase and for the general fluidity of the inner mitochondrial membrane we consider anisotropic mobility of the cytochrome oxidase around an axis normal to the plane of the membrane as the most likely interpretation. Then our experimental results imply that the plane of heme a3 is coplanar to the membrane.