The origins of Beer's law

Abstract

Traces the development of Beer's law by examining Beer's original, 1852 paper on the subject.

Separation of Non-Negative Mixture of Non-Negative Sources Using a Bayesian Approach and MCMC Sampling

“…These objectives are formalized as a source separation problem, where the linear instantaneous mixture model holds. In the case of optical spectroscopy, this model is validated according to Beer-Lambert law [4] (also termed as Beer's law or BeerLambert-Bouguer law [5]). The pure component spectra are identified as the estimated sources and the concentrations as the mixing coefficients.…”

Molecular dynamics simulation study on ablation of silicon by water-jet-guided laser

“…8 For the first 0.2ps, the particles were damped to T 0 , followed by a relaxation period of 0.8ps which as shown in Figure 2(b), the laser was starting at t=1.0ps. The laser energy was deposited on each atom according to the Lambert–Beer’s law 14 where R is the surface reflectivity of silicon, I 0 is the initial laser intensity and α is the linear absorption coefficient of silicon. For the present simulation, the silicon was divided into several layers along the direction of laser.…”

Source Separation in Chemical Analysis : Recent achievements and perspectives

“…As a consequence, December [9]). The data processing corresponds to a source separation problem where the linear instantaneous mixture model holds with relatively small concentrations of the components in absorption spectroscopy, thanks to the Beer-Lamber law [10].…”

“…, y N ) denotes the mutual information between the estimated signals y(n). There are several algorithms for solving (10), where main difficulties are related to the estimation of the mutual information and to the existence of spurious local minima in this cost function. In [50], for instance, December 19, 2013 DRAFT the optimization problem expressed in (10) was tackled by a bio-inspired optimization method that is robust to convergence to local minima and that does not require the calculation of the derivatives of (10).…”