molar absorption coefficient

synonym: molar decadic absorption coefficient
https://doi.org/10.1351/goldbook.M03972
Absorbance divided by the absorption pathlength, \(l\), and the amount concentration, \(c\): \[\varepsilon(\lambda) = \frac{1}{c\, l}\, \rm{lg}\! \left ( \frac{P_{\lambda}^{0}}{P_{\lambda}}\right ) = \frac{A(\lambda)}{c\, l}\] where \(P_{\lambda}^{0}\) and \(P_{\lambda}\) are, respectively, the incident and transmitted spectral radiant power.
Notes:
  1. The term molar absorptivity for molar absorption coefficient should be avoided.
  2. In common usage for \(l/\rm{cm}\) and \(c/\pu{mol dm-3}\) (\(\rm{M}\)), \(\varepsilon(\lambda)\) results in \(\pu{dm3 mol-1 cm-1}\) (\(\rm{M}^{-1}\ \rm{cm}^{-1}\), the most commonly used unit), which equals \(\pu{0.1 m2 mol-1}\) (coherent SI units).
Source:
PAC, 2007, 79, 293. (Glossary of terms used in photochemistry, 3rd edition (IUPAC Recommendations 2006)) on page 371 [Terms] [Paper]