F1 is the catalytic part of ATP synthase which projects inward from inner mitochondrial membranes. Walker and coworkers have solved its structure to 2.8 A resolution.
The quaternary structure of F1 consists of 3 each of alternating alpha and beta subunits forming a cylindrical complex attached to the membrane-embedded F0 proton channel. The central cavity of the cylinder is occupied by by the alpha-helical C-terminal domain of the gamma subunit
[fig. 1 from Cross]:

This cartoon is adapted from fig. 2 of Cross. The 3 shades of red represent the 3 different conformational states of the catalytic subunits. The central asymmetric black object represents the gamma subunit which is caused to rotate by the mitochondrial proton efflux. This rotation drives the conformational transitions of the catalytic subunits which, in turn, alters the nucleotide binding site affinities. As a consequence, conformational energy flows from the catalytic subunit into the bound ADP and Pi to promote their dehydration into ATP.
Note that, when "uncoupled", i.e., dissociated from a proton gradient, ATP synthases act as ATPases. The ATP-coupled proton transporters associated with Golgi membranes are structurally similar to the ATP synthases.
Abrahams JP, et al, 1994 Nature 370:621.
Cross RL, 1994 Nature 370: 594.