Reichardt’s normalized $$E_{{\text{T}}}^{{\text{N}}} \left( {30} \right)$$ parameter for solvent polarity has been analyzed in terms of properties of solvent molecules estimated from quantum–mechanical calculations of isolated solvent molecules. The analyses show that $$E_{{\text{T}}}^{{\text{N}}} \left( {30} \right)$$ has a strong dependence on the partial charge on the most positive hydrogen atom in the solvent molecule, reflecting hydrogen bonding at the pendant oxygen atom of the betaine dye used to define the ET(30) scale. There are smaller, and roughly equal, dependences on the dipole moments and quadrupolar amplitudes of the solvent molecules and an inverse dependence on the solvent polarizability. These three dependences reflect the solvent polarity, that is, the ability to stabilize charge through longer-range interactions. The reason for the inverse dependence on the solvent polarizability is unclear, but a similar dependence was found previously in the analysis of the Kamlet, Abboud and Taft π* scale. The resulting equation for $$E_{{\text{T}}}^{{\text{N}}} \left( {30} \right)$$ reproduces the experimental values for around 160 solvents, representing most classes of organic solvents, with a standard deviation of around 0.07 { $$E_{{\text{T}}}^{{\text{N}}} \left( {30} \right)$$ values range from 0 to 1}. The Kamlet and Taft α scale of hydrogen bond donor acidities, which is, in effect, derived from the differences between the $$E_{{\text{T}}}^{{\text{N}}} \left( {30} \right)$$ and π* values for a solvent, is discussed. The results of the present analyses of $$E_{{\text{T}}}^{{\text{N}}} \left( {30} \right)$$ and earlier analyses of π* indicate that, while the α values capture the effect of solvent hydrogen bond donor acidity, it also contains residual dependences on other molecular properties. These residual dependences result from the differences in the dependences of the $$E_{{\text{T}}}^{{\text{N}}} \left({30} \right)$$ and π* on solvent properties.
Read full abstract