The behavior of conductivity dynamic modulus and its connection to thermodynamic bulk modulus in ionic liquids

Abstract

In this paper, we investigate the interplay between the dynamics and thermodynamics of aprotic ionic liquids in the supercooled and normal liquid states. For this purpose, the conductivity dynamic modulus M^σ_p–T, being defined as the ratio of activation energy (E_p) and activation volume (V_T), and its relation to bulk modulus B_T under isobaric and isothermal conditions is examined. We found that both isobaric cooling and isothermal compression lead to an increase in M^σ_p–T. Specifically, M^σ_p–T(P)_T rises linearly similar to B_T. Consequently, a direct linear relationship between M^σ_p–T(P)_T and B_T is established under isothermal conditions.