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.

CoversJablonski diagramFranck–Condon principleradiative transitionsfluorescencephosphorescence
All parts of Question 1
- 1(a) Postulates of kinetic theory and the two that fail5 marks
- 1(b) Boyle temperature of oxygen as a van der Waals gas5 marks
- 1(c) Temperature coefficient of conductivity: metal and semiconductor5 marks
- 1(d) Why KCl diffracts like a simple cubic lattice5 marks
- 1(e) Reversal of HCl + NH₃ ⇌ NH₄Cl with temperature5 marks
- 1(f) ΔG for compressing a real gas, from fugacities5 marks
- 1(g) Half-life of a second-order reaction5 marks
- 1(h) Brownian movement and Tyndall effect: why only colloids5 marks
- 1(i) Nernst equation for the redox electrode Pt | Cr⁶⁺, Cr³⁺5 marks
- 1(j) Same electrode positive or negative5 marks
- 1(k) Energy uncertainty of an excited state5 marks
- 1(l) Eigenvalues of a Hermitian operator are real5 marks
- 1(m) Rotational constants of ¹⁴N¹⁶O and ¹⁵N¹⁶O5 marks
- 1(n) Photon–molecule interaction in rotating HCl5 marks
- 1(o) Why radiative transitions are drawn vertical5 marks
- 1(p) Energy of one einstein at 600 nm and 300 nm5 marks