Grade 12
The ozone layer, the greenhouse effect
Stratospheric ozone shields life from ultraviolet radiation, while greenhouse gases absorb outgoing infrared radiation and warm the lower atmosphere. These distinct processes are explained through photochemistry, molecular vibrations and Earth’s radiative balance.
IntuitionTwo different atmospheric roles
High above the surface, ozone absorbs much harmful ultraviolet radiation. Near the surface, ozone is itself an air pollutant. Greenhouse gases are a separate issue: they absorb selected wavelengths of Earth’s infrared emission, slowing heat loss to space.
SchoolSchool level: ozone in the stratosphere
The Chapman cycle describes how sunlight continually forms and destroys ozone. Short-wave UV splits oxygen molecules; oxygen atoms then combine with O₂, while ozone absorbs UV and can split again.
Definition: Ozone-depleting substances
Chlorofluorocarbons (CFCs) are stable in the lower atmosphere. In the stratosphere, energetic UV can break a C–Cl bond and release a chlorine radical, Cl·, which participates in catalytic ozone destruction.
Because Cl· is regenerated, one radical can destroy many ozone molecules before it is removed into a reservoir compound. On polar stratospheric clouds, reactions convert relatively inactive chlorine reservoirs into forms that release reactive chlorine when sunlight returns, contributing to the seasonal Antarctic ozone hole.
The 1987 Montreal Protocol controls production and consumption of many ozone-depleting substances. Its global phase-down has allowed the ozone layer to begin recovering, although long-lived compounds mean recovery takes decades.
SchoolSchool level: the greenhouse effect
Earth absorbs sunlight, then emits infrared radiation. Greenhouse gases absorb and re-emit some infrared wavelengths, including downward toward the surface. This natural effect keeps the surface warmer than it would be without an atmosphere; increasing greenhouse-gas concentrations strengthens the effect.
Example: Earth’s effective temperature
Estimate the effective radiating temperature using solar constant S=1361 W m⁻², planetary albedo A=0.30 and Stefan–Boltzmann constant σ=5.67×10⁻⁸ W m⁻² K⁻⁴.
Solution
At equilibrium, absorbed solar flux averaged over the sphere is S(1−A)/4≈238 W m⁻². Setting it equal to σT⁴ gives T≈255 K (about −18 °C). Earth’s actual mean surface temperature is about 288 K (15 °C); the ≈33 K difference reflects the natural greenhouse effect, not a temperature of one uniform atmospheric layer.
| Gas | Important feature |
|---|---|
| CO₂ | Combustion, land-use change; long-lived |
| CH₄ | Wetlands, agriculture, fossil fuels; stronger warming per mass than CO₂ over 100 years |
| N₂O | Agriculture and industry; long-lived |
| H₂O vapour | Most abundant natural greenhouse gas; concentration responds rapidly to temperature |
Infrared absorption occurs when molecular vibration or rotation changes a molecule’s dipole moment. CO₂’s bending and asymmetric-stretch vibrations absorb infrared; its symmetric stretch is infrared-inactive. N₂ and O₂ do not absorb strongly in this way, while H₂O, CH₄ and N₂O have infrared-active modes.
| Gas | GWP₁₀₀ relative to CO₂=1 |
|---|---|
| CO₂ | 1 |
| CH₄ (non-fossil) | ≈27 |
| N₂O | ≈273 |
Example: Methane in CO₂-equivalent
A source emits 2.0 kg of non-fossil methane. Use GWP₁₀₀≈27 to estimate its carbon-dioxide equivalent.
Solution
CO₂e = mass × GWP₁₀₀ = 2.0 × 27 ≈ 54 kg CO₂e. This comparison integrates climate influence over 100 years; it is not a claim that methane and CO₂ have identical atmospheric lifetimes or effects at every time scale.
UndergraduateUniversity glimpse: absorption and radiative forcing
For a narrow spectral band, Beer–Lambert attenuation is I/I₀ = exp(−σN), where σ is an absorption cross-section and N is the absorbing-column number density. Across a real atmospheric column, temperature, pressure, clouds, overlapping bands and emission also matter; the simple equation is an instructive starting point, not a full climate model.
Example: Forcing from 280 to 420 ppm CO₂
Use the approximate relation ΔF≈5.35 ln(C/C₀) W m⁻² to estimate the forcing for C₀=280 ppm and C=420 ppm.
Solution
ΔF≈5.35 ln(1.5)=5.35×0.405≈2.17 W m⁻². This is a radiative imbalance estimate; feedbacks and the ocean’s heat uptake determine the eventual temperature response.
References
- Large losses of total ozone in Antarctica reveal seasonal ClOx/NOx interaction · J. C. Farman, B. G. Gardiner, J. D. Shanklin, 1985
- New estimates of radiative forcing due to well mixed greenhouse gases · G. Myhre, E. J. Highwood, K. P. Shine, F. Stordal, 1998
- Climate Change 2021: The Physical Science Basis. Working Group I Contribution to the Sixth Assessment Report · IPCC, 2021