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Kasha's rule states that appreciable luminescence normally originates from the lowest excited electronic state of a given spin multiplicity. In the familiar molecular notation, fluorescence is usually associated with $S_1$ and phosphorescence with $T_1$, even when absorption initially prepares a higher state. The rule is a spectroscopic regularity, rather than a guarantee that all excited molecules emit.

Michael Kasha presented the underlying classification of electronic transitions in 1950, discussing the connection between radiationless conversion and the lowest emitting level.^[ref] Molecular internal conversion provides a route from a higher electronic state to a lower state of the same multiplicity before appreciable higher-state emission occurs.

An original rate-competition model makes the condition quantitative. For an initially populated $S_2$ state, let $k_{21}$ be conversion to $S_1$, $k_{2r}$ upper-state radiative decay and $k_{2x}$ other loss. The fraction emitting directly from $S_2$ isWith stipulated $k_{21}=10^{12}{\mathrm{s}}^{-1}$, $k_{2r}=10^8{\mathrm{s}}^{-1}$ and no other loss, this fraction is about $10^{-4}$. Fast conversion suppresses upper-state emission even though the molecule absorbs into that state. If conversion is slowed until it competes with radiation, appreciable higher-state emission becomes possible. These values illustrate kinetics, not universal molecular constants.

The rule concerns the emitting electronic state. It does not by itself assert an excitation-wavelength-independent fluorescence quantum yield; that is the separate Kasha-Vavilov rule. Competing photochemistry, intersystem crossing and state preparation can affect the number of emitted photons even when the eventual fluorescence band comes from $S_1$.

A proposed experimental test compares emission spectra after excitation into different absorption bands, correcting for absorbed photon counts and detector response. Similar emission-band shapes support a common emitting state, while time-resolved measurements test whether a fast relaxation precedes emission. A different band requires checking sample purity, distinct species and instrumental artifacts before assigning emission from a higher electronic state.

The rate argument also explains why a rigid drawing of one downward arrow is insufficient evidence. Measure which states are populated, how fast they exchange population and which transitions radiate. This connects an empirical rule with a falsifiable kinetic model, while preserving the distinction between a common behaviour and an exception-free law.

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 $k_r$ and competing molecular internal conversion rate $k_{ic}$. Its probability of emitting before conversion isChoosing $k_r=10^8{\mathrm{s}}^{-1}$ and $k_{ic}=10^{12}{\mathrm{s}}^{-1}$ gives approximately $10^{-4}$. 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] 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 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 $S_2\to S_1$ 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 $N_0$ in $S_2$, transfer to $S_1$ occurs at rate $k_{21}$, and $S_1$ loses population at total rate $k_1$:For $k_{21}\ne k_1$,The lower-state population first rises and later decays. If only part of $k_1$ is radiative, fluorescence intensity is proportional to that radiative rate times $N_1$, not simply to the loss rate of $S_2$.

For stipulated $k_{21}=10^{12}{\mathrm{s}}^{-1}$ and $k_1=10^8{\mathrm{s}}^{-1}$, 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] The rate competition supplies a physical motivation for Kasha's rule, while leaving room for molecules whose competing pathways behave differently.