Influence of hydrogen bonds and temperature on dielectric properties

A structure-dynamics relationship enables prediction of the water hydrogen bond exchange activation energy from experimental data

It has long been understood that the structural features of water are determined by hydrogen bonding (H-bonding) and that the exchange of, or "jumps" between, H-bond partners underlies many of the dynamical processes in water. Despite the importance of H-bond exchanges there is, as yet, no direct method for experimentally measuring the timescale of the process or its associated activation energy. Here, we identify and exploit relationships between water's structural and dynamical properties that provide an indirect route for determining the H-bond exchange activation energy from experimental data. Specifically, we show that the enthalpy and entropy determining the radial distribution function in liquid water are linearly correlated with the activation energies for H-bond jumps, OH reorientation, and diffusion. Using temperature-dependent measurements of the radial distribution function from the literature, we demonstrate how these correlations allow us to infer the value of the jump activation energy, Ea,0, from experimental results. This analysis gives Ea,0 = 3.43 kcal mol-1, which is in good agreement with that predicted by the TIP4P/2005 water model. We also illustrate other approaches for estimating this activation energy consistent with these estimates.

Thermodynamic properties of a molecular dipolar liquid using the two-phase thermodynamic approach

A modified version of the original two-phase thermodynamic approach has been extended to evaluate the thermodynamic properties of molecular systems. Its basic assumption states that the density of states can be decomposed into solid-like and gas-like components. The solid part has been approximated by that of a set of harmonic oscillators, whereas a subset composed of rough hard spheres has been considered for the gas part. In this new approach, molecules have been modelled as rotating hard spheres that experience elastic collisions. The technique has been tested on a system made up of dipolar diatomic molecules, and it leads to very good results for total entropy, potential energy reference and heat capacity. Translation and rotation solid components of the overall spectra have been compared to the real part of the instantaneous normal mode vibrational densities of states. Similarities between them reinforce the validity of the two-phase thermodynamic approach.