Fluorescence quenching by palladium(II) vs. platinum(II) complexes
The theory of this quenching effect was developed about $70$ years ago by Förster, who showed that the quenching is not due to diffusion or collision. It is due to a resonance phenomena. The fluorescence yield is quenched by a solute whose mirror image of the adsorption spectrum overlaps the emission spectrum of fluorescence. It is is proportional to the overlap integral of these two spectra.
The quenching effect due to an agent X on the fluorescence is given by Stern-Volmer equation : ${I_0/I = 1 + \gamma [X]}$. Now T. Förster has shown that the quenching constant $\gamma$ is equal to $\gamma = \frac{2\pi ^2}{3} \frac{N}{1000} R_0^3$, where $N$ is Avogadro number, and $R_0$ is the critical Förster distance, where $R_0^6$ is proportional to the overlap integral $J(\nu )$ of the two spectra, and to the sum of all energy transfer rate constants (solvent to solutes and solute to solute).
This theory will not be developed here.
But, as you are looking for a piece of literature, I recommend the following references, where this theory is explained.
See : T. Förster, Discuss. Faraday Soc. $27, 1, (1959)$ and : T. Förster, Ann. Physik $2, 55, (1947)$.