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UPSC Combined Geo-Scientist

Chemist

  • 3 descriptive papers
  • 200 marks each
  • 3 h per paper

Mains Paper II covers physical chemistry.

UPSC Combined Geo-Scientist, Mains · 2022 · Mains Paper II

Q10. Vibrational spectrum of CO₂: expected and observed

Question

CO₂ is a linear triatomic molecule. How many lines do you expect to have in its vibrational spectrum? Compare this with the observed IR spectrum of CO₂.

Answer in brief

4 normal modes, 3 fundamentals (ν₂ doubly degenerate): IR 667 and 2349 cm⁻¹, Raman 1388 cm⁻¹; the observed IR shows these two, none at 1388, plus weak extra bands.

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The full model answer

As written for the answer booklet: the diagram carries the working, the lines stay short. Read here only; it is not offered as a download.

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CoversCO₂ normal modesIR spectrumRaman spectrumrule of mutual exclusionFermi resonance3N − 5