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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

Q1(o). Why radiative transitions are drawn vertical

Question

Radiative transitions (both absorption and emission) are displayed by vertical lines in Jablonski diagram. Explain why these lines are kept vertical.

Answer in brief

Franck–Condon principle: a photon is absorbed or emitted in about 10⁻¹⁵ s, far faster than nuclei move (10⁻¹³ s); the nuclear geometry does not change, so the transition is vertical.

Key points

  • Electronic transition time ≈ 10⁻¹⁵ s; one nuclear vibration ≈ 10⁻¹³ s; the heavy nuclei are effectively stationary during the jump (Born–Oppenheimer separation).
  • The internuclear distance is the same before and after, so the transition is vertical on an energy–nuclear-coordinate diagram; the Jablonski diagram keeps this convention.
  • Only the energy changes, by exactly hν; the molecule lands in the vibrational level of best overlap (Franck–Condon factor).
  • Radiationless steps involve no photon: internal conversion and intersystem crossing are horizontal wavy arrows; vibrational relaxation (10⁻¹² s) is a wavy arrow down the ladder.
  • Emission starts from v = 0 of S₁ (fluorescence) or T₁ (phosphorescence) (Kasha), again vertically.

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.

Model answer to Q1(o), 2022 Mains Paper II: solution pages 17 and 18
Solution pages 17 and 18 of 37

CoversJablonski diagramFranck–Condon principleradiative transitionsfluorescencephosphorescence