ACE-FTS is a solar occultation. SABER is limb emission, with CO₂ retrieved jointly with temperature. Both are remote measurements of light, inverted to a mixing ratio. Neither is a sample taken at that height.

Mesosphere and lower thermosphere
Above 80 km
Carbon dioxide develops a knee. Water and chlorine do not follow it, and the two papers that frame this problem do not quite agree on why.
Height, first
Conventional layer boundaries, not sharp walls. The tropopause is near 8 km in the polar winter and near 18 km in the tropics; 12 km is a midlatitude figure. The ozone layer is not its own shell. It is a concentration of ozone inside the stratosphere, mostly about 15–35 km, with the peak often near 25 km. Below 40 km this drawing is stretched so the mountains, the aircraft, and that ozone band can be seen. From 40 km up, the spacing is even. The pictures mark altitude. They are not drawn to size.

Read one height in three units
80 km · 80,000 m · 49.7 mi
Mesosphere
| Level | km | m | miles |
|---|---|---|---|
| Surface | 0 | 0 | 0.0 |
| Mount Everest | 8.8 | 8,800 | 5.5 |
| Airliner cruise | 11 | 11,000 | 6.8 |
| Tropopause, midlatitudes | 12 | 12,000 | 7.5 |
| Ozone layer | 15–35 | 15,000–35,000 | 9.3–21.7 |
| Scientific balloon | 35 | 35,000 | 21.7 |
| Stratopause | 50 | 50,000 | 31.1 |
| CO₂ profiles bend | 80 | 80,000 | 49.7 |
| Mesopause | 85 | 85,000 | 52.8 |
| Meteors usually glow | 80–110 | 80,000–110,000 | 49.7–68.4 |
| Kármán line | 100 | 100,000 | 62.1 |
| Top of these profiles | 120 | 120,000 | 74.6 |

Above this chart. The International Space Station orbits near 400 km: 400,000 m, about 249 miles. That is more than three times the top of the profiles on this page. The satellite is drawn off the scale on purpose. Putting it at 120 km would be the wrong height.
The CO₂, water, and chlorine profiles sit between 60 and 120 km, marked by the teal edge of the column. Nothing in those profiles was collected by an aircraft.
CMAM scenarios A–F and SD-WACCM are general-circulation models. The curves are traces of the published figures, not new runs and not the Level-2 archive.
The molecule bench and the Lyman-α lifetime are computed on this page from a one-dimensional diffusion–chemistry column and from σ × flux. They are not satellite profiles.
Atmos. Chem. Phys., 2010
Beagley et al.
First multi-year ACE-FTS solar-occultation CO₂ and CO in the MLT, compared with the extended Canadian Middle Atmosphere Model. The observed knee is near 78 km. In the control run the model knee is about 10 km higher. CO is called adequate. They raise photolysis ×5, switch gravity-wave Kzz off, slow CO+OH by ×5, and zero the molecular diffusion of CO₂.
Conclusion: an extra CO₂ loss, 2–4 times photolysis, that does not make CO. Meteoritic dust is the candidate.
doi:10.5194/acp-10-1133-2010J. Geophys. Res., 2015
Rezac et al.
Validation of SABER v2.0 CO₂, retrieved together with temperature from daytime 15 µm and 4.3 µm limb emission under non-LTE. Compared with coincident ACE-FTS profiles and with SD-WACCM at Prandtl number 4. The knee of the annual mean is above ~80 km. SABER runs systematically lower than ACE, still inside the combined errors.
The same team’s November 2015 talk is blunter about the model: SD-WACCM falls off about 5 km too low, the opposite miss from CMAM.
doi:10.1002/2015JD023955What the figures actually show
The ink is traced from the printed figures and sampled every 2 km. It is not the Level-2 archive. ACE-FTS is a measurement. Every CMAM scenario is a model. Where lines overlap near 370 ppmv, a scenario that could not be separated by color is omitted. Scenario E (CO+OH slowed by 5) is one of those.
Beagley Fig. 4a — 30°N, April
ACE is flat near 370 ppmv until about 80 km. Control scenario A is still near 370 ppmv at 90 km. Photolysis ×5 (B) tracks ACE and, in the paper, makes far too much CO. No molecular diffusion (F) leaves CO₂ high in the thermosphere.
CO₂ (ppmv). Altitude increases upward.
Rezac global means, 2004–2012
Traced from the symposium figure of this validation. ACE and SABER are measurements after the seasonal circulation is averaged down. SABER’s mixing ratio is retrieved from radiance, not sampled in place. The dashed curve is the SD-WACCM model, sampled like those observations.
CO₂ (ppmv). Altitude increases upward.
Below about 90 km
Summer pole upwells, winter pole descends. CO₂ is higher where the air came from below. This is a circulation pattern, not a mass effect.
Above about 90 km
The cell reverses where gravity waves break: ascent in winter, descent in summer. A one-dimensional bench cannot draw either cell. It only asks what sets the global-mean profile once that circulation is averaged away.
Molecule bench
A global-mean diffusion–chemistry column from 50 to 130 km. It is not CMAM and not WACCM. Eddy mixing, molecular diffusion, photolysis, and a few reactions are solved to steady state. The knee reported here is where the mixing ratio drops below 90% of its value at 65 km. Pressure is hydrostatic. The lower boundary is fixed.
Kzz chosen so CO₂ stays near 370 ppm through ~80 km and is down by ~10% near 90 km.
CO₂ leaves 90% of its 65 km value at 89 km. Argon, which is only inert and heavy, does it at 97 km. Water’s inert twin rises; real water is chemically gone much lower.
CO₂ 44.0 u
Falls past −10% at 89 km.
Heavy. The knee is molecular separation versus eddy mixing. Photolysis is a minor term.
H₂O 18.0 u
Falls past −10% at 75 km.
Lighter than air. Diffusive separation would raise it. Lyman-α destroys it instead.
HCl 36.5 u
Falls past −10% at 92 km.
Heavy reservoir of chlorine. Net loss is photolysis and conversion to Cl, not removal of total chlorine.
CH₄ 16.0 u
Falls past −10% at 66 km.
Light, but oxidized and photolyzed. Gone through the mesosphere for chemical reasons.
Ar 40.0 u
Falls past −10% at 97 km.
Inert and heavy. The clean control for gravitational separation.
He 4.0 u
Rises past +15% at 87 km.
Inert and very light. Diffusive separation raises its mixing ratio.
CO 28.0 u
Rises past +15% at 68 km.
Almost the same mass as air, so it barely separates. It rises because it is made from CO₂.
Mass only, chemistry off
Fraction of the 50 km mixing ratio. Heavy inert gases fall. Light inert gases rise. The split is (m − m_air), and m_air itself drops as atomic oxygen increases.
Fraction of 50 km value. Altitude increases upward.
Same mass, chemistry switched on
Solid lines are the real gases. Dashed lines are the inert twins. Water and methane leave their twins immediately. CO₂ does not: photolysis is too slow to draw the knee. HCl peels away from total-chlorine-as-mass because it is converted, not because 36.5 u is exotic.
Fraction of 50 km value. Altitude increases upward.
Carbon: CO₂ + CO
Photolysis moves carbon from CO₂ into CO. A dust-like sink removes it from both. Diffusion changes the mix without deleting the sum as fast.
ppmv. Altitude increases upward.
Which lifetime is shortest?
Days. The axis stops at 4000. At the CO₂ knee, eddy and molecular diffusion beat photolysis. Water’s chemical lifetime collapses above ~90 km.
Lifetime (days). Altitude increases upward.
Temperature, pressure, and diffusion at one height
Calculated on this page at the geometric height you set. Not a radiosonde, not SABER, not ACE.
- Temperature
- 182 K
- Pressure
- 2.01e-3 hPa
- Number density
- 7.99e+13 cm⁻³
- Mean mass
- 28.96 u
- Kzz
- 39.6 m²/s
- D(CO₂)
- 2.9 m²/s
- Scale height
- 5.5 km
- CO₂ separation
- 0.095 /km
The separation rate is (m_CO₂ − m_air) g / (R_specific-style kT/m), in fractional mixing ratio per kilometre, for diffusive equilibrium. It grows when the air is cold and when the mean mass falls. D grows as 1/n, so it is a pressure effect as much as a temperature effect. Kzz does not care about mass; that is why raising it lifts every heavy gas and pulls every light gas back toward well mixed.
Their Lyman-α arithmetic
Beagley et al. use σ = 7.7×10⁻²⁰ cm². The unattenuated rate is that cross section times the line-integrated solar flux. Once the line is optically thin, attenuation cannot make J larger than this. Their dust paragraph uses a 13-day lifetime at 80 km.
- J, unattenuated
- 3.08e-8 s⁻¹
- Lifetime 1/J
- 376 days
- Compared with 13 days
- 29× longer
A factor of two in the flux, which covers the solar cycle they discuss (they say their own irradiance is within 10% of 2004–2007, and generally larger), does not turn a year into two weeks. The 13-day number and the cross section cannot both be the photolysis rate at 80 km.
Findings
Ordered as an audit, not as a score. “Holds up” means the paper’s claim survives the check. Garcia et al. (2014, doi:10.1002/2013JD021208) is the intervening analysis that both of these results have to sit next to.
- 01MethodBeagley 2010
CO₂ was put in the same budget as water, methane and N₂O
The discussion says H₂O, N₂O, CH₄ and CO₂ are all set by vertical transport balanced against chemical loss. That sentence is right for water, methane and nitrous oxide. It is the wrong budget for CO₂. The global-mean CO₂ profile is molecular diffusive separation against eddy mixing; photolysis is a minor term and changes CO₂ by less than about 10% above 100 km (Garcia et al., 2014). An inert gas with the mass of CO₂ falls off. An inert gas with the mass of water rises. Real water falls anyway, because Lyman-α destroys it.
- 02ContradictionBeagley 2010
The 13-day Lyman-α lifetime does not match the cross section in the same paper
They adopt σ(CO₂) = 7.7×10⁻²⁰ cm² at Lyman-α, inside the 6.5–8.2×10⁻²⁰ cm² range they cite. A line-integrated solar flux of about 4×10¹¹ photons cm⁻² s⁻¹ then gives J ≈ 3×10⁻⁸ s⁻¹, a lifetime of roughly a year. Two pages later the dust argument uses 1/J ≈ 13 days at 80 km. Those two numbers differ by a factor of about 30. Night and zenith angle make the diurnal-mean lifetime longer, not shorter, so they do not close the gap. The claim that γ = 0.1 on meteoric smoke is 3–5 times faster than photolysis is ratioed to the 13-day figure. The calculator below uses their cross section and lets the flux vary.
- 03MethodBeagley 2010
Eddy diffusion was tested only at full strength and at zero
Scenario A includes Hines Kzz. Scenario C sets it to zero. Nothing in between was run. Because molecular diffusion grows roughly exponentially with height, a factor of four in Kzz moves the CO₂ knee by about one scale height, ~10 km — the size of the discrepancy they are trying to explain. Scenario C did lower CO₂, and they say so. They then drop transport because zero was not a complete fit, and conclude a missing chemical sink. López-Puertas et al. (2000), which they cite, had already shown in one dimension that a modest Kzz (tens of m² s⁻¹) sets this profile.
- 04MethodBeagley 2010
Photolysis ×5 fits April at 30°N and is too strong in August
Scenario B is their best CO₂ match at 30°N in April. The same factor is described as excessive in August: the model CO₂ then falls off too fast. CO in scenario B is high by a factor of about four to five, which is why they reject pure photolysis. A constant dust efficiency would not be mild in April and excessive in August. The residual changes with season, which is what transport does.
- 05MethodBeagley 2010
CO was allowed a larger error than the CO₂ knee they treated as decisive
The control CO simulation is called adequate. In the same text it is ~30% low near 0.001 hPa in April and about a factor of two low there in August. The CO₂ offset of ~10 km is treated as requiring new physics. Garcia et al. (2014) read the same pair of symptoms the other way: too much constituent diffusion keeps CO₂ high and mixes CO down, and an O₂ cross section near 105–121 nm that is ~10× too large under-produces CO. Raising that photolysis by a factor of two to three fixes CO and barely moves CO₂, because photolysis is not the term that sets the knee.
- 06MethodBeagley 2010
γ = 0.1 is an assumption, and it would remove total carbon
The dust estimate uses meteoric surface areas from Megner et al. (2008) and a mechanism pointed at Plane (2004). That literature is about metal atoms and ions on smoke, not a measured irreversible sink of CO₂. They set the reactive uptake coefficient to 0.1 so the lifetime becomes 9/γ hours and beats their 13-day photolysis. Photolysis converts CO₂ into CO, so CO + CO₂ stays put. A sink that sequesters carbon does not. The bench shows the difference. They never plotted the sum.
- 07ContradictionBeagley 2010
SABER v1.06 was preliminary, and the later retrieval changed the sign of the bias
The paper says the SABER v1.06 CO₂ is not validated. In their Fig. 2 it lies about 20 ppmv above ACE above the knee, with the knee near 80 km. Rezac et al. (2015) validate the v2.0 two-channel retrieval: SABER is systematically lower than ACE, the mean difference is under 5% from 65 km to about 100 km, and it grows to about 20% at 110 km. The version change is as large as the offset used in 2010, and it points the other way. v1.06 cannot be cited as independent confirmation of the ACE knee.
- 08ContradictionBeagley 2010
The abstract’s CRISTA knee (~70 km) is stronger than the authors’ own caveat
The abstract says the ACE knee near 78 km is higher than CRISTA-1 (~70 km), lower than SABER v1.06 (~80 km), and much lower than rockets. In the body they report that Kaufmann judged the CRISTA mixing ratio to depart significantly from its lower-atmosphere value only above 80 km. Rockets, as they plot them, put the knee near 87 km. The spread among observations is comparable to the 10 km model offset the abstract treats as a clear miss.
- 09MethodBeagley 2010
The ACE prior can slide the knee; the quoted percentage errors do not say otherwise
CO₂ above ~60 km is forced toward a 5th-order polynomial, zero at the anchor where the mixing ratio is declared constant. That prior is exactly able to move the altitude of the bend. They estimate total error under 10% below 100 km, and about 16% systematic at 118.5 km, so the mixing ratio itself is not noise. A percentage error bar is not an error bar on the knee altitude. Two related weaknesses they do state: the instrument line shape is an empirical function “not based on any physical process,” and a 5 K temperature uncertainty above the mesopause “might be an underestimate.” The retrieval’s real strength is also stated correctly: only ground-state lines are used, so non-LTE is a smaller problem than for the emission sounders.
- 10LimitBeagley 2010
A good temperature field does not certify constituent Kzz
Fig. 10 shows CMAM and ACE temperatures in reasonable agreement, and they infer that the resolved circulation is adequate. Constituent eddy diffusion is not fixed by that test. The Prandtl number in a gravity-wave scheme sets tracer diffusion relative to momentum and heat. Garcia et al. change it from 4 to 2, double Kzz, and lift thermospheric CO₂ into agreement without touching the chemistry. CMAM can have a credible temperature and still the wrong tracer diffusivity. ACE occultation sampling, which they discuss, adds a separate high-latitude bias.
- 11LimitBeagley 2010
A mis-plotted panel was caught in review
In the ACPD discussion López-Puertas flagged Fig. 8a. The authors replied that the original panel had been mis-plotted. The published ACP figure is the correction. This is not evidence the final figure is still wrong. It is evidence these cross-sections were easy to get wrong, so a traced reproduction should not be treated as the Level-2 archive.
- 12Holds upRezac 2015
SABER versus ACE is inside the stated errors, and the bias is still systematic
The comparison uses coincidences within ±5° latitude, ±10° longitude and ±4 hours (943 pairs on the symposium figure of this study). SABER’s two-channel CO₂ is daytime only; ACE is sunrise and sunset. From 65 to ~100 km the mean SABER−ACE difference is under 5%, growing to ~20% at 110 km, and SABER is the lower one. The same team’s accuracy table gives single-profile CO₂ uncertainties of 15, 15, 12, 21 and 32% at 70, 80, 90, 100 and 110 km. A 20% mean difference at 110 km fits inside 32%. The agreement claim holds. The low bias is real; it is just not larger than the error budget they published.
- 13ContradictionRezac 2015
“Within 5%” ends at 90 km in the key points and at ~100 km in the conclusions
The key points say the mean SABER and ACE mixing ratios agree within 5% below 90 km, and up to 20% at 110 km. Section 5 says the mean difference is smaller than 5% from 65 to ~100 km, then 20% at 110 km. Both can be loosely true if the difference is a few percent through 100 km, but they are not the same sentence. The traced global means cross: SABER is slightly higher than ACE near 90 km (~337 vs ~323 ppmv) and lower at 110 km (~107 vs ~155 ppmv).
- 14MethodRezac 2015
SD-WACCM’s knee is ~5 km low, which is the opposite miss from CMAM
The 10 November 2015 talk of this validation says the global-mean SABER and ACE profiles leave well-mixed values about 5 km higher than SD-WACCM, and asks whether eddy diffusion is too weak. It points at Garcia et al. (2014): reducing the Prandtl number from 4 to 2 increases Kzz and improves CO₂. The paper treats Prandtl number 4 as the standard WACCM setting and a tunable parameter, and the abstract leads with seasonal agreement. The bias is in the opposite direction from Beagley’s CMAM, whose knee was ~10 km too high. Two models missing on opposite sides of the observations is what an uncertain Kzz does. It is not evidence for a missing CO₂ sink.
- 15Holds upRezac 2015
They flagged an unphysical 400 ppmv ACE value near 30°N
In the January zonal mean, ACE reaches 400 ppmv near 30°N. The paper calls it an outlier: the troposphere had not reached 400 ppm during 2004–2012. That is the correct call. The difference plot should not be read hard at that latitude.
- 16MethodBoth
Weight, temperature and chemistry move different gases in different directions
Diffusive equilibrium changes a mixing ratio as exp[−(mᵢ − m_air)gz/(kT)]. CO₂ (44 u) and argon (40 u) fall. Helium (4 u) rises. Water (18 u) and methane (16 u) would rise if they were inert; both are destroyed by photolysis and oxidation well below the CO₂ knee, water sharply once Lyman-α is optically thin near 85–90 km, methane already through the lower mesosphere. HCl (36.5 u) is heavy, so total chlorine eventually separates, but HCl itself is also converted to atomic chlorine. CO (28 u) has almost no mass contrast with air; it increases because it is the product of CO₂ photolysis, not because it is light. Colder air strengthens the mass term (1/T) and shrinks the scale height. Pressure is not an independent knob: number density, which sets the molecular diffusion coefficient (D ∝ 1/n), follows from hydrostatic balance given T and the mean mass. Mean mass itself falls above ~100 km as atomic oxygen grows, so every contrast with air changes.