What is chemiosmosis?

If osmosis is the movement of water across a partially permeable membrane, then chemiosmosis is the same, but for chemicals. Let's consider the mitochondria, which has a double membrane envelope, and let's think of that intermembrane space as the reservoir of a dam. Reduced hydrogen carriers from the krebs cycle (coenzymes NADP and FAD) will come along with hydrogens attached like our buckets of water which we have to actively pump (using membrane proteins) into our dam to fill it up (with protons). How do we power our proton pumps? Well with the electrons from that hydrogen the carriers brought! The hydrogen splits into electrons and protons (since it's nucleus has no neutrons) upon reaching the inner mitochondrial membrane, and the electron is passed along the electron transport chain, passed along electron carriers embedded in the membrane (like ferrodoxin, the iron at its core being reduced and reoxidised as it passes along electrons like hot potatoes, releasing energy along the way). As our protons are being pumped into our dam, it fills up, i.e. a large proton concentration is created. That means protons will flow back into the mitochondrial matrix by our proton channels in the membrane, that flow, or proton motive force powering our "turbine", ATPsynthase, which pops on phosphate groups to ADP to remake ATP! If there is life, there is chemiosmosis!