Lesson 6 · 35 min
Metals in biology: how haemoglobin carries oxygen
The Fe²⁺ of haem flips from high to low spin when it binds O₂; four cooperating haems make a sigmoid curve that is steepest right at tissue pressures. Then the Bohr effect, carbon monoxide poisoning, and how a pulse oximeter reads blood oxygen at two wavelengths.
In this lesson
- Describe the coordination of Fe²⁺ in haem, and use crystal-field theory to explain how its spin state and magnetism change when O₂ binds
- Compare the hyperbola of myoglobin with the sigmoid of haemoglobin, describe cooperativity with the Hill coefficient, and calculate the oxygen released between lungs and tissue
- Predict the effects of pH, warmth and carbon monoxide on oxygen transport with the Bohr effect and Haldane’s law
- Explain the colour of blood and the principle of the pulse oximeter from the absorption spectra of oxy- and deoxyhaemoglobin
On 8 November 1845 Faraday measured the magnetism of dried blood and noted: “Must try recent fluid blood.” He never did. Ninety years later Pauling and Coryell (1936) did: oxyhaemoglobin and carbonmonoxyhaemoglobin have no unpaired electrons, but deoxyhaemoglobin has four per haem — so the magnetic susceptibilities of fully oxygenated and fully deoxygenated blood differ by as much as 20 %.
One iron ion binds one molecule of oxygen and its whole spin state flips. This lesson starts from that iron in haem: why it binds O₂ reversibly without being oxidised, how four haems “consult” one another to load and unload oxygen together, why carbon monoxide kills, and how a small device clipped to a finger reads the oxygen in your blood.
Predict first
Arterial blood is bright red, venous blood darker. Which light does deoxyhaemoglobin absorb much more strongly than oxyhaemoglobin?
Pick an answer and lock it in before you look. A wrong guess teaches more than no guess.
The iron in haem
Haem is a porphyrin ring whose four nitrogen atoms surround an Fe²⁺ ion. In myoglobin and in each chain of haemoglobin, a histidine of the protein (the proximal histidine) supplies a fifth ligand from below; the site above is left for O₂.
In the deoxy form the iron has only five ligands and a fairly weak field: d⁶ Fe²⁺ is high spin (t₂g⁴e_g², four unpaired electrons). High-spin Fe²⁺ is too large for the porphyrin’s central hole and sits a little below the ring plane. When O₂ binds, the sixth ligand pushes the field past the pairing energy: the iron becomes low spin (t₂g⁶, no unpaired electrons), shrinks, slides into the ring plane and tugs on the proximal histidine and the helix that carries it — a movement passed on to the other subunits, which is the switch behind cooperative binding (Perutz, 1970).
The iron stays +2 throughout. Oxidised to Fe³⁺ (methaemoglobin, brown) it can no longer bind O₂. The distal histidine and the water-poor pocket both stabilise the bound O₂ and protect the iron from oxidation.
- number of unpaired electrons
- Bohr magneton
One site or four
Myoglobin has a single haem and stores oxygen in muscle. Its binding curve is a hyperbola, S = p/(p + P₅₀) — exactly the form of Langmuir’s isotherm for surface adsorption: one site, a dynamic balance of filling and emptying. Horse myoglobin at 37 °C and pH 7.0 has P₅₀ = 2.39 Torr.
Haemoglobin is a tetramer with four haems. The first O₂ binds hardest; once it has, the protein shifts from its “tense” state (T) towards its “relaxed” state (R), and the other sites gain affinity. The result is a sigmoid curve: little binding at low pressure, a steep rise in the middle, saturation at high pressure. Hill’s equation is the usual way to describe that steepness.
- oxygen saturation
- O₂ pressure at half saturation
- Hill coefficient
Predict first
In the lungs p(O₂) ≈ 100 Torr; in resting tissue about 40 Torr. How much of its oxygen does myoglobin give up between the two?
Pick an answer and lock it in before you look. A wrong guess teaches more than no guess.
Worked example
How much oxygen a minute
Blood holds 150 g/L of haemoglobin (64 500 g/mol, at most four O₂ per molecule). Use the standard curve to estimate how much oxygen each litre releases between the lungs (100 Torr) and resting tissue (40 Torr), and how much is delivered each minute at a cardiac output of 5 L/min.
Acid and warmth loosen the grip
In 1904 Bohr, Hasselbalch and Krogh found that the more carbon dioxide, the less oxygen blood holds. H⁺ and CO₂ bind better to deoxyhaemoglobin, stabilise the T state and push the curve to the right — the Bohr effect. Working muscle is both acidic and warm, so oxygen is released where it is most needed; in the lungs CO₂ is breathed out, the pH rises and haemoglobin takes a firm grip on oxygen again.
Severinghaus’s equations give Δlg P₅₀/ΔpH ≈ −0.52 near P₅₀: lowering the pH from 7.40 to 7.20 raises P₅₀ from 26.8 to 34.1 Torr. Each degree of warming raises P₅₀ by about 7 %. 2,3-Bisphosphoglycerate in red cells also stabilises the T state — one reason fetal haemoglobin, which binds it weakly, can take oxygen from the mother’s blood.
Try the calculation
Near P₅₀, Δln p/ΔpH = (p/26.6)^0.184 − 2.2 (Severinghaus’s equation 4). Standard blood has P₅₀ = 26.8 Torr; what does P₅₀ become when the pH falls from 7.40 to 7.20 (in Torr)?
Carbon monoxide
CO competes with O₂ for the same site, with far higher affinity. Haldane and colleagues (1912) summed it up: at equilibrium the ratio of carbonmonoxy- to oxyhaemoglobin equals M times the ratio of the two partial pressures. For human haemoglobin in the relaxed state, M = 241 ± 29 (about 123 in the tense state). Just 0.05 % CO in air can occupy nearly half the haem at equilibrium. Worse, haemoglobin carrying CO sits in the R state, so its remaining sites hold O₂ more tightly, the curve shifts left and the tissues find it even harder to get oxygen.
- ratio of the affinities for CO and O₂
- partial pressure in the lungs
Try the calculation
Air contains 500 ppm of CO, the lungs have p(O₂) = 100 Torr and M = 241. At equilibrium, what percentage of the haem holds CO?
Concept check
Why is carbon monoxide poisoning treated with pure oxygen (hyperbaric if need be)?
Key takeaways
- The Fe²⁺ of haem is five-coordinate and high spin when deoxygenated (four unpaired electrons, 5.46 μB measured) and six-coordinate, low spin and diamagnetic with O₂; the iron slides into the porphyrin plane and tugs on the protein.
- Myoglobin follows a hyperbola (P₅₀ 2.39 Torr) and stores oxygen; haemoglobin follows a cooperative sigmoid (P₅₀ 26.8 Torr, n ≈ 2.7) and releases about 23 % of its oxygen between the lungs and resting tissue, far more in exercise.
- Acid, CO₂ and warmth shift the curve to the right (Bohr effect: Δlg P₅₀/ΔpH ≈ −0.52); CO competes for the same site with about 240 times the affinity and shifts the curve left.
- Deoxyhaemoglobin absorbs ten times as strongly as oxyhaemoglobin at 660 nm, which darkens venous blood and lets a two-wavelength oximeter read the saturation.
Data and references
- L. Pauling & C. D. Coryell, “The magnetic properties and structure of hemoglobin, oxyhemoglobin and carbonmonoxyhemoglobin”, Proc. Natl. Acad. Sci. USA 22, 210–216 (1936).
- J. W. Severinghaus, “Simple, accurate equations for human blood O₂ dissociation computations”, J. Appl. Physiol. 46, 599–602 (1979).
- K. A. Schenkman, D. R. Marble, D. H. Burns & E. O. Feigl, “Myoglobin oxygen dissociation by multiwavelength spectroscopy”, J. Appl. Physiol. 82, 86–92 (1997).
- E. Di Cera, M. L. Doyle, P. R. Connelly & S. J. Gill, “Carbon monoxide binding to human hemoglobin A₀”, Biochemistry 26, 6494–6502 (1987).
- M. F. Perutz, “Stereochemistry of cooperative effects in haemoglobin”, Nature 228, 726–734 (1970); J. J. Weiss, “Nature of the iron–oxygen bond in oxyhaemoglobin”, Nature 203, 183 (1964).
- S. A. Prahl, Tabulated molar extinction coefficient for hemoglobin in water (Oregon Medical Laser Center, 1998), from data of W. B. Gratzer and N. Kollias.
- M. W. Sjoding, R. P. Dickson, T. J. Iwashyna, S. E. Gay & T. S. Valley, “Racial bias in pulse oximetry measurement”, N. Engl. J. Med. 383, 2477–2478 (2020).