Relate polyatomic-gas IR absorption to the greenhouse effect
Earth emits strongly in the infrared. CO₂ absorbs near 667 and 2350 cm⁻¹ through bending and asymmetric stretching; H₂O absorbs across rotational-vibrational regions.
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The core idea
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Learning objectives
- Relate polyatomic-gas IR absorption to the greenhouse effect
Match terrestrial IR to molecular modes
Earth emits strongly in the infrared. CO₂ absorbs near 667 and 2350 cm⁻¹ through bending and asymmetric stretching; H₂O absorbs across rotational-vibrational regions.
Absorbed energy is re-emitted in all directions, reducing the net rate of outgoing IR at absorbing wavelengths.
IR-active greenhouse gas
A greenhouse gas has vibrational modes that absorb outgoing terrestrial IR by changing molecular dipole moment.
Polyatomic identity alone is insufficient: the mode frequency must overlap terrestrial radiation and the mode must be IR active.
Why CO₂ works and N₂ does not
Linear CO₂ has no permanent dipole, yet its bend and asymmetric stretch create changing dipoles. N₂ has only a homonuclear stretch that does not change dipole and is IR inactive.
H₂O's bent polar geometry supplies multiple active modes; CHF3 has many active vibrations because its bond dipoles do not cancel through those motions.
Compare CO₂ and N₂
CO₂'s 667 cm⁻¹ bend overlaps outgoing IR and changes dipole. N₂'s vibration retains zero dipole.
Therefore equal atmospheric abundance would not imply equal greenhouse absorption.
Explain why CO₂ contributes vibrational IR absorption but N₂ does not.
Check your answer
A strong answer should include changing dipole in CO₂ active modes, no dipole change for homonuclear N₂, and absorption/re-emission of terrestrial IR.
Trace one photon pathway
An outgoing terrestrial IR photon matching a CO₂ bend is absorbed, raising vibrational energy.
Subsequent emission is in random directions; some energy returns downward while collisions also redistribute energy.
Write the cause-to-effect chain from matching photon to reduced net outgoing flux.
Check your answer
Include frequency match, vibrational excitation, re-emission in all directions and reduced net escape at that band.
Compare H₂O and Ar
Water vapour is bent H₂O; argon is monatomic Ar.
Apply the same test as for CO₂ and N₂: which vibrations exist, and does any of them change the dipole?
Explain the different IR roles of H₂O vapour and Ar.
Check your answer
H₂O has a bend and two stretches that each change its dipole, so it absorbs terrestrial IR. Ar is a single atom with no bond to vibrate, so it has no vibrational absorption; being a gas particle is not enough.
Permanent dipole is not required
The selection rule concerns change in dipole during a mode, not only the equilibrium dipole.
CO₂ is the counterexample: equilibrium dipole zero, bending/asymmetric-stretch dipole non-zero during motion.
Better reasoning: “CO₂ cannot be a greenhouse gas because it is non-polar.”
Check your answer
State that active CO₂ modes create oscillating dipoles and absorb terrestrial IR at fixed bands.
Evaluate gases from fixed mode data
After the check questions, explain the CH₄ case without notes. Return later for a different O₃ question.
Try this next: explain nuclear spin.
Use the fixed gas table to rank whether CO₂, H₂O, CHF3, N₂ and Ar absorb by vibrational IR.
Check your answer
A strong answer should include mode-specific dipole change and spectral overlap; reject blanket polyatomic/permanent-dipole rules.
Relate polyatomic-gas IR absorption to the greenhouse effect scientific representation
The table spells out every activity judgement and band numerically; a text flow describes absorption, vibrational excitation and re-emission without relying on arrows or colour.
About 5 minutes
| Species | Mode | Band / cm⁻¹ | Dipole during vibration | IR active? | Terrestrial-IR overlap |
|---|---|---|---|---|---|
| CO₂ | bend | 667 | changes | yes | yes |
| CO₂ | asymmetric stretch | 2350 | changes | yes | yes |
| CO₂ | symmetric stretch | — | zero at equilibrium and remains zero | no | none |
| H₂O | bend and stretches | multiple | changes | yes | yes |
| CHF₃ | multiple modes | multiple | changes | yes | yes |
| N₂ | homonuclear stretch | — | zero throughout | no | none |
| Ar | no molecular vibration | — | not applicable | no | none |
Text alternative: The table spells out every activity judgement and band numerically; a text flow describes absorption, vibrational excitation and re-emission without relying on arrows or colour.