How does ATP synthase use protons to make ATP?

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In the mitochondrion, the synthesis of ATP is driven by the chemiosmotic process, which converts electrochemical energy into chemical bond energy.12

During cellular respiration, the electron-transport chain pumps protons (H⁺ ions) across the highly folded inner mitochondrial membrane (the crista) from the matrix to the intermembrane space. Because the inner membrane is impermeable to these ions, this action establishes a significant electrochemical gradient—a difference in both pH and electrical potential—across the membrane.12

The enzyme complex ATP synthase, also known as F₁F₀-ATPase, acts as a specialized proton pore embedded within this membrane. When ADP and inorganic phosphate (Pᵢ) are bound to the enzyme, the accumulated protons flow back into the mitochondrial matrix through the F₀ portion of the complex. This movement of protons down their electrochemical gradient releases energy, which the F₁ portion of the enzyme uses to catalyze the conversion of ADP and Pᵢ into ATP.12