Defined under the assumption of the Lorentz local field by the Lorentz-Lorenz formula:
\[\hat{\alpha}_{\rm{m}}(\tilde{\nu}) = 3V_{\rm{m}}\epsilon_{0} \frac{\hat{\epsilon}(\tilde{\nu}) - 1}{\hat{\epsilon}(\tilde{\nu}) + 2} = 3V_{\rm{m}}{\epsilon}_{0}\,\frac{\hat{n}^{2}(\tilde{\nu}) - 1}{\hat{n}^{2}(\tilde{\nu}) + 2}\] where
\(V_{\rm{m}}\) is the molar volume and
\(\hat{\epsilon}\) and
\(\boldsymbol{\hat{n}}\) are the complex dielectric constant and refractive index, respectively. To allow description of absorption,
\(\hat{\alpha}_{\rm{m}}(\tilde{\nu})\) is complex:
\(\hat{\alpha}_{\rm{m}}(\tilde{\nu}) = \alpha_{\rm{m}}'(\tilde{\nu}) + \rm{i}\alpha_{\rm{m}}''(\tilde{\nu})\).
Notes: - The imaginary molar polarizability shows the absorption band free from long range dielectric effects that distort the band shapes of very strong absorptions.
- SI unit: \(\pu{J-1 C2 m2 mol-1}\).
Source:
PAC, 2021, 93, 647. 'Glossary of methods and terms used in analytical spectroscopy (IUPAC Recommendations 2019)' on page 753 (https://doi.org/10.1515/pac-2019-0203)