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The carbon sequence is oxaloacetate $(4)$ plus an acetyl group $(2)$ to citrate $(6)$, then isocitrate $(6)$, alpha-ketoglutarate $(5)$, succinyl-CoA $(4)$, succinate $(4)$, fumarate $(4)$, malate $(4)$ and back to oxaloacetate $(4)$. The numbers count the cycling carbon skeleton, excluding coenzyme A. Two carbon dioxide releases accompany the changes $6\to 5\to 4$.^[ref]

Per acetyl group: three NADH, one FADH2 equivalent, one GTP or ATP by substrate-level phosphorylation, and two carbon dioxide. Succinate dehydrogenase retains FADH2 and transfers its Electrons to ubiquinone, forming ubiquinol. The FADH2 equivalent and ubiquinol count the same Electron pair.^[ref]

A useful check adds the stepwise changes. The carbon count is $4+2-1-1=4$; the NADH count is $1+1+1=3$. Each NADH carries two Electrons, and the succinate dehydrogenase route supplies another pair, so one turn exports $3\times 2+2=8$ Electrons. This arithmetic is an accounting identity, not an ATP yield calculation. Converting it to ATP requires the separate energy coupling and transport assumptions discussed under oxidative phosphorylation.

For a chosen ideal conversion of $5\mu \mathrm{mol}$ of acetyl groups, multiplication gives $15\mu \mathrm{mol}$ of NADH, $5\mu \mathrm{mol}$ of ubiquinol, $5\mu \mathrm{mol}$ of GTP and $10\mu \mathrm{mol}$ of carbon dioxide. The Electron output is $40\mu \mathrm{mol}$. If all these Electrons subsequently reach oxygen with no competing sinks, four Electrons per oxygen molecule require $10\mu \mathrm{mol}$ of oxygen. That is consumption by the connected electron transport chain; it is not an oxygen term in the cycle's own substrate ledger.

No cycle step directly consumes molecular oxygen. In ordinary aerobic mitochondrial operation, however, the mitochondrial respiratory chain must reoxidize NADH and ubiquinol to restore the oxidized electron carriers. Without that outlet, a finite oxidized-carrier pool cannot sustain continued turnover. Other electron acceptors and other forms of metabolism require their own analysis.^[ref]

The pyruvate dehydrogenase complex acts upstream: one three-carbon pyruvate gives one two-carbon acetyl group, one carbon dioxide and one NADH. These are additional to the cycle ledger.^[ref] Consequently, processing one pyruvate through both stages gives three carbon dioxide and four NADH, while the succinate dehydrogenase contribution and the substrate-level phosphorylation contribution each remain one. Counting the upstream step inside the cycle would obscure where the extra carbon dioxide and NADH arise.

An electron carrier protein in the mitochondrial respiratory chain.

An electron transport chain transfers Electrons from an electron donor through electron carriers to a terminal electron acceptor. In the mitochondrial respiratory chain, some transfers drive protons across the inner mitochondrial membrane; their return through ATP synthase can drive ATP formation.^[ref]

The useful separation is between an Electron route and a proton route. The former ends in a redox chemical reaction; the latter changes an electrochemical gradient across a membrane. Energy coupling connects them without making Electrons and protons interchangeable. An oxygen readout consequently need not be an ATP readout.

This article focuses on the mitochondrial respiratory chain. Bacteria can use other terminal electron acceptors in anaerobic respiration. In chloroplast light-dependent reactions, light supplies energy and linear Electron transport connects water oxidation to NADP+ reduction, releasing oxygen. Thus neither oxygen consumption nor the mitochondrial arrangement defines every electron transport chain.^[ref]

The inner mitochondrial membrane separates mitochondrial matrix from intermembrane space. Its selective permeability permits distinct chemical conditions, while embedded mitochondrial respiratory chain proteins and ATP synthase support oxidative phosphorylation. Cristae increase its surface area.^[ref]

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.

In a mitochondrion, the intermembrane space lies between the outer mitochondrial membrane and inner mitochondrial membrane, extending into the interiors of cristae. It includes the side of the inner mitochondrial membrane from which protons return through ATP synthase to the mitochondrial matrix.

A useful sidedness check is to follow a single arrow: outward pumping goes from green to yellow in the diagram, while coupled return goes from yellow to green. These are opposing movements of protons, not a circuit in which Electrons return through ATP synthase. The mitochondrial respiratory chain and chemiosmosis articles distinguish the two ledgers.

A mitochondrion is an organelle with an outer mitochondrial membrane and an inner mitochondrial membrane. The latter encloses the mitochondrial matrix and folds into cristae; the intermembrane space lies on its opposite side. This architecture separates a chemical workspace from a membrane that couples Electron transport to ATP formation.^[ref]

For an original location exercise, place soluble label A in the mitochondrial matrix and soluble label B in the interior of a crista. In the depicted geometry, B can reach the peripheral intermembrane space through the fold's opening without crossing a lipid bilayer. A must cross the inner mitochondrial membrane to reach either location. A fold projecting into the mitochondrial matrix therefore does not make its enclosed fluid part of the mitochondrial matrix. Following a continuous path through the colored regions proves the distinction; merely asking whether a label is “inside the mitochondrion” loses it.

The functional connection is equally spatial. The mitochondrial respiratory chain pumps protons from the mitochondrial matrix side across the inner mitochondrial membrane. Their return through ATP synthase can drive ATP formation. Oxidative phosphorylation develops the mechanism and chemiosmosis gives its free energy bookkeeping. Compartmentalization is useful because it lets a shared electrochemical gradient couple different proteins without direct transfer of a chemical intermediate between each pair.

Under aerobic conditions, mitochondria supply much of the ATP in many eukaryotic biological cells; the contribution varies with biological tissue, demand and oxygen supply. Glycolysis also makes ATP in the cytosol. Mature mammalian red blood cells lack mitochondria, and bacteria have no mitochondria at all. Neither all ATP production nor all biological cells fit the familiar mitochondrial picture.^[ref]

Mitochondria descend from a bacterial endosymbiosis and retain a genome and ribosomes, although many required proteins are encoded by nuclear genes. Endosymbiotic theory develops the ancestry argument; organelle protein import explains delivery of nuclear-encoded proteins. A functioning isolated mitochondrion demonstrates biochemical autonomy under supplied conditions, rather than independently establishing that ancestry.

The mitochondrial matrix is the compartment enclosed by the inner mitochondrial membrane, containing mitochondrial DNA, ribosomes and many enzymes. Most citric acid cycle steps occur here; succinate dehydrogenase is membrane-associated. The citric acid cycle supplies NADH for the mitochondrial respiratory chain.^[ref]

Distinguish the location of a chemical reaction from the location of its detection. An external oxygen electrode can report consumption by an intact preparation without entering the mitochondrial matrix. That signal does not locate every intermediate, establish protein targeting or directly count newly formed ATP.

NADH supplies two Electrons to respiratory complex I, then ubiquinone, respiratory complex III, cytochrome c and cytochrome c oxidase; terminal oxygen reduction forms water. Succinate dehydrogenase, or respiratory complex II, supplies another entry to ubiquinone. Respiratory complex I, respiratory complex III and cytochrome c oxidase move protons outward; respiratory complex II does not.^[ref]

For an original Electron balance, supply exactly $6\mu \mathrm{mol}$ of NADH to an ideal preparation with no other electron donor or competing electron acceptor. The donor supplies $12\mu \mathrm{mol}$ of Electrons. Complete reduction of one oxygen molecule needs four Electrons, so the corresponding oxygen consumption is $3\mu \mathrm{mol}$. Adding the two formal half-reactions makes the result explicit:The cancelling Electrons determine the donor-to-oxygen ratio. These chemical equations do not count transmembrane protons or determine an ATP yield. Chemical protons consumed in water formation and transported protons have different roles in the ledger.

A mobile electron carrier in the mitochondrial respiratory chain.