Franck-Condon Principle
Electronic transitions occur much faster than nuclear motion.
Practise Analytical, Lab & Spectroscopy All Analytical, Lab & Spectroscopy topics
Electronic transitions occur much faster than nuclear motion.
Practise Analytical, Lab & Spectroscopy All Analytical, Lab & Spectroscopy topics
The Franck-Condon principle states that electronic transitions occur so rapidly compared with nuclear motion that the nuclei have essentially no time to move during the transition. On an energy diagram, transitions are therefore drawn as vertical lines from the ground state's equilibrium geometry to the excited state at the same nuclear coordinates. The intensity of each vibrational transition is governed by the overlap of the vibrational wavefunctions of the initial and final states, and the strongest band corresponds to the best overlap. When the equilibrium geometries differ strongly, many vibrational levels are populated and the band is broad. The principle explains the vibrational structure seen in electronic absorption and emission spectra.
Key ideas: The Franck-Condon factor is the square of the overlap integral between initial and final vibrational wavefunctions. If the excited-state equilibrium bond length is longer, absorption goes to higher vibrational levels, giving a long progression. The 0-0 transition is at the lowest energy, and emission is a mirror image of absorption. Absorption takes about 10^-15 s, while a vibration takes about 10^-13 s, which justifies the vertical approach.
Common mistakes and connections: Students draw transitions as slanted lines, or expect the strongest absorption always to be the 0 to 0 band. Large geometry change leads to the strongest band at higher v. Photodissociation arises when a vertical transition lands above the dissociation limit, producing a continuum. Related to Born-Oppenheimer, fluorescence Stokes shift and electronic spectra.
Electronic transitions are vertical on the potential energy curve, from the ground state at fixed nuclear positions; iodine's ground-state well is about 1.54 eV deep. The interactive lesson shows this as a live animation or chart.
The vibrational progression in the UV absorption band of iodine vapour reflects the overlap of vibrational wavefunctions.
Electronic transitions occur much faster than nuclear motion.
Franck-Condon Principle is a advanced topic in Analytical, Lab & Spectroscopy. It builds on beginner and intermediate topics, so review those first if needed.
Study these earlier topics in Analytical, Lab & Spectroscopy first: Molecular Symmetry, Group Theory in Chemistry, Selection Rules.
The next topics in Analytical, Lab & Spectroscopy are Beer-Lambert Limitations and Lab Notebook Practice.
Yes. The interactive lesson includes a self-check question on Franck-Condon Principle, and the Analytical, Lab & Spectroscopy quiz draws on every topic in this area.
Franck-Condon Principle is topic 94 of 99 in Analytical, Lab & Spectroscopy.