Kasha-Vavilov rule 2026-11-05
The Kasha-Vavilov rule states that the quantum yield of luminescence is normally independent of excitation wavelength. IUPAC explicitly notes exceptions.[ref]
IUPAC Compendium of Chemical Terminology, fifth edition (Gold Book). Kasha–Vavilov rule K03371
The statement concerns emitted photons per absorbed photon, not equal detector counts under equal incident optical power.An original photon-accounting model writesfor monochromatic incident power , wavelength and absorbance . Comparing raw fluorescence at different wavelengths without correcting incident photon number and absorbed fraction can therefore give a misleading yield comparison.
For equal incident powers and equal absorbed fractions at 400 and 500 nm, the absorbed photon rates have ratio . A molecule obeying the rule with unchanged yield then emits 25% more photons per second under the 500 nm condition. Unequal raw emission is entirely consistent with equal emitted-per-absorbed-photon yield.
Absorbed-photon normalization in quantum-yield comparisons also needs detector-response correction. The observation system measures a selected fraction of an emission spectrum, not automatically all emitted photons. Keep excitation and emission spectral responses, sample geometry and optical density in the comparison.
The distinction from Kasha's rule is physical as well as verbal. Kasha's rule concerns the emitting electronic state. Suppose a wavelength-dependent fraction of absorbed excitations reaches the same emitting state, whose radiative and nonradiative rates are . ThenThe same emitting state and band shape can coexist with a wavelength-dependent yield if upstream branching changes. Fast molecular internal conversion can make the simple wavelength-independent approximation useful, but does not prove it for every system.
A proposed experiment compares corrected integrated emission with absorbed photon counts while checking concentration, chemical stability and competing absorption. A persistent excitation-dependent yield after those corrections is a scientific result to explain, rather than something to normalize away by assuming the rule in advance.
Michael Kasha 2026-11-05
Michael Kasha connected molecular light emission with the structure and competing relaxation of excited states. His 1950 paper formulated the spectroscopic regularity now called Kasha's rule: emission of a given spin multiplicity normally comes from the lowest excited level of that multiplicity.[ref]
The argument involves rates, rather than a prohibition on preparing a higher excited state. In an original model, a higher state has radiative rate and competing molecular internal conversion rate . Its probability of emitting before conversion isChoosing and gives approximately . Most molecules can therefore reach the lower state before emitting even when absorption initially populates the higher state. These are illustrative rates, not measured constants assigned to the 1950 paper. A rate competition also explains why the regularity has conditions and exceptions.
Kasha later coauthored the 1979 investigation with Pradeep K. Sengupta of 3-Hydroxyflavone and quercetin fluorescence. Comparing solution spectra, rigid low-temperature matrices, excitation spectra and isotope substitution supported formation of an emitting tautomer through excited-state proton transfer.[ref]
Excited state proton-transfer spectroscopy of 3-hydroxyflavone and quercetin by Pradeep K. Sengupta and Michael Kasha. Printed pp.382–384, Figures1–4 and discussion
This distinguishes the electronic state initially reached by absorption from the molecular form that eventually emits. The lesson is experimental: emission colour and lifetime can identify competing pathways that a molecular formula alone cannot reveal. Molecular internal conversion 2026-11-05
Molecular internal conversion is a radiationless transition between electronic states of the same spin multiplicity. Electronic and vibrational energy are redistributed without emission of a photon in the transition itself. IUPAC describes the step as isoenergetic: a lower electronic state can be reached with increased vibrational excitation, followed by subsequent relaxation.[ref]
This is distinct from intersystem crossing, which connects states of different multiplicity, and from vibrational relaxation within an electronic state. It is also distinct from nuclear internal conversion. A molecular singlet-to-singlet transition such as fits the molecular definition; the energy need not be immediately transferred as heat to a surrounding solvent.
An original population model separates internal conversion from later decay. Suppose an impulsive excitation places population in , transfer to occurs at rate , and loses population at total rate :For ,The lower-state population first rises and later decays. If only part of is radiative, fluorescence intensity is proportional to that radiative rate times , not simply to the loss rate of .
Original sequential-population model with a 1 ps upper-state transfer scale and a 10 ns lower-state lifetime; no measured molecular rates are implied
. Details. For stipulated and , the transfer time scale is 1 ps while the lower-state lifetime is 10 ns. A fast population transfer can therefore precede much slower emission. These are model constants, not measured values assigned to every molecule.
An informative experiment resolves the time dependence of upper- and lower-state signals after a pulse and tests whether the proposed transfer accounts for both. A decay trace alone can have several explanations; spectral assignment and competing channels matter. Sequential excited-state population kinetics is one model to test against those measurements.
Michael Kasha's 1950 analysis linked radiationless transitions among like-multiplicity states to emission from the lowest excited level of a given multiplicity.[ref]
Characterization of electronic transitions in complex molecules by Michael Kasha. printed pp. 14–15, abstract and Internal Conversion
The rate competition supplies a physical motivation for Kasha's rule, while leaving room for molecules whose competing pathways behave differently.