Proton motive force (PMF) is the electrochemical gradient generated across a biological membrane, primarily as a result of the activity of the electron transport chain during cellular respiration. This force drives protons (H ext{+}) from the intermembrane space into the mitochondrial matrix, creating potential energy that is used to synthesize ATP through ATP synthase. PMF is crucial for oxidative phosphorylation and plays a key role in the chemiosmotic theory, which explains how energy is produced in cells.