A selective boundary and a productive enzyme have different jobs. Even active respiratory enzymes cannot sustain a useful electrochemical gradient if protons return freely across the boundary. Conversely, an intact boundary without an electron donor does not supply the energy for continued pumping. The isolated mitochondria respiration experiment separates some of these dependencies by additions to the same preparation.
The electric potential difference across the inner mitochondrial membrane, contributing to the proton-motive force. A change in potential can alter both useful phosphorylation and leak behavior.
A transport protein supplying phosphate across the inner mitochondrial membrane for processes including ATP synthesis.
A carrier exchanging adenine nucleotides across the inner mitochondrial membrane, supplying matrix ADP and exporting synthesized ATP during ordinary oxidative phosphorylation.
A transport protein exchanging suitable dicarboxylates, including succinate and malate, with counter-substrates such as phosphate. Its relevance to respiration depends on the fuel and preparation.
A crista is a fold of the inner mitochondrial membrane into the mitochondrial matrix. Its membrane remains continuous with the surrounding inner mitochondrial membrane; it is not a separately inserted sac like a thylakoid.[ref]
The diagram idealizes access through the fold's opening. Connectivity alone does not imply instant mixing or identical concentrations throughout the intermembrane space. Narrow geometry and molecular interactions can matter to transport. Increasing surface area also does not, by itself, prove a proportional increase in ATP production: the supply of substrates, available oxygen and the state of the coupling machinery must also support the flux.

Articles by others on the same topic (1)