Inaugural Method for High-Accuracy Determination of Time-Span of Electron-Photon Interaction Based on Quantized Beer's Lambert Absorbance

Actual Determination of Time-span in Absorption Spectroscopy and variation of absorbance vs. concentration is crucial in chemistry and biology. We investigated molecular absorption spectra of 1,4 -diamino anthraquinone taking concentration $20-90 \mu \mathrm{M}$. We primarily report a violation and quantization of Beer's Lambert Law and propose an alternative explanation for the inherent phenomenon, quantum mechanically.  Upon laser pulse excitation yielded photon transfer excited state having  17-96 attoseconds lifespan is formed for different concentrations of samples. We furnished a general equation for the electrostatic field, the wave function of photons and its correlation with absorbance. Further, we propose an intricate relationship between the electromagnetic field generated by particles and its wavefunction.