Simplified theory of wideband spectra of liquid H2O and D2O (from 0 to 1000 cm−1) due to reorienting polar and vibrating H-bonded water molecules

Abstract

A semi-phenomenological molecular model is presented, which is capable of describing with the use of analytical formulae, the wideband dielectric11We assume here that dielectric spectra are those recorded from ν=0−10cm−1 and far-infrared (FIR) spectra those from 10 to 1000cm−1. and far-infrared spectra of ordinary and heavy water. In the model the vector of a dipole moment is presented as a sum of two components. The absolute value of the first one is constant; the second one changes harmonically with time. The key aspect of this work is consideration of FIR spectra due to the second component. In the context of the modified hybrid model presented in the work, reorientation of the dipoles in the rectangular potential well is considered, as a result of which the librational (near 700cm−1) and translational (near 200cm−1) absorption bands and the microwave Debye relaxation spectrum arise. It is shown that the time-dependent part of a dipole moment contributes most to the translational band; the relevant mechanism is taken to be stretching vibration of the H-bonded molecules. Previous linear-response molecular models were unsuccessful in describing this band (in heavy water) in terms of the complex dielectric permittivity. The spatial and time scales characteristic of water are estimated.