Protonmotive force - from motive protons to membrane potential

Authors

  • Erich Gnaiger Oroboros Instruments

DOI:

https://doi.org/10.26124/bec.2025-0007

Keywords:

charge, coupling, energy, force, oxidative phosphorylation, proton, redox pump

Abstract

The protonmotive force (pmF) is central to oxidative phosphorylation (OXPHOS), coupling oxygen consumption (OX) in cell respiration to phosphorylation of ADP to ATP (PHOS). Defined as an electrochemical potential difference, the pmF consists of two components: the electric part pmFel, linked to the transmembrane potential difference (ΔΨ), and the diffusive part pmFd, related to the pH difference (ΔpH) across the mitochondrial inner membrane. Although pmFel is dominant in animal mitochondria, pmFd — often overlooked — contributes significantly under physiological conditions.

Peter Mitchell’s chemiosmotic theory defines four integrated coupling modules. Module 1: The ATP synthase utilizes the pmF producing ATP (PHOS). Module 2: The electron transfer system generates the pmF by redox-driven proton transport (OX). Module 3: Coupling of proton translocation to electroneutral ion exchange modulates the balance from pmFd to pmFel. Module 4: The coupling membrane integrates these structural and functional coupling modules.

A ΔpH of only 0.5 units contributes approximately 15–20 % to the total pmF, emphasizing that pmFd can provide a significant thermodynamic push. Oversimplified textbook conventions are challenged by rigorously incorporating stoichiometric numbers νH+ and the charge number zH+ in the equations defining the advancement of proton translocation and the protonmotive force. A transparent theoretical framework bridges theory and experiment with an innovative conceptual drive.

  • The pmF explains the mechanism of OXPHOS coupling.
  • H+-linked electron transfer in redox reactions drives compartmental H+ transport.
  • The pmF with units [J·mol-1] or [V = J·C­1] is isomorphic to physical forces with unit newton [N = J·m-1].
  • Force times advancement of the motive quantity yields energy [J] in the form of exergy available for work.

Cite:

Gnaiger E (2025) The protonmotive force – from motive protons to membrane potential. Bioenerg Commun 2025.7. https://doi.org/10.26124/bec.2025-0007

References

Bureau International des Poids et Mesures (2019) The International System of Units (SI). 9th edition (V3.01 August 2024):117-216. ISBN 978-92-822-2272-0

Gnaiger E (2020) Mitochondrial pathways and respiratory control. An introduction to OXPHOS analysis. 5th ed. https://doi.org/10.26124/bec:2020-0002

Gnaiger E (2025) Mitochondrial respiratory function in living cells. https://doi.org/10.26124/bec.2025-0005

Gnaiger E (2025) Boltzmann and gas constant – ambiguities between energy and force. https://doi.org/10.26124/becprep.2025-0005

Kell DB (2024) A protet-based model that can account for energy coupling in oxidative and photosynthetic phosphorylation. https://doi.org/10.1016/j.bbabio.2024.149504

Komlódi T, Tretter L (2022) The protonmotive force – not merely membrane potential. https://doi.org/10.26124/bec:2022-0016

Mitchell P (1966) Chemiosmotic coupling in oxidative and photosynthetic phosphorylation. https://doi.org/10.1016/j.bbabio.2011.09.018

gnaiger_2025_pmf_image

Additional Files

Published

2025-09-24

Issue

Section

Living Communications

Categories

How to Cite

Gnaiger, E. (2025). Protonmotive force - from motive protons to membrane potential. Bioenergetics Communications, 2025, 7. https://doi.org/10.26124/bec.2025-0007