Feynman diagram description of 2D-Raman-THz spectroscopy applied to water

• Published in: The Journal of chemical physics 2019-01, Vol.150 (4), p.044202-044202
• Main Authors: Sidler, David, Hamm, Peter
• Format: Article
• Language: English
• Subjects: Absorption spectra; Anharmonicity; Computer simulation; Feynman diagrams; Molecular dynamics; Physics; Spectroscopy; Spectrum analysis; Two dimensional models; Water
• ISSN: 0021-9606; 1089-7690
• DOI: 10.1063/1.5079497

2D-Raman-THz spectroscopy of liquid water, which has been presented recently [J. Savolainen et al., Proc. Natl. Acad. Sci. U. S. A. 110, 20402 (2013)], directly probes the intermolecular degrees of freedom of the hydrogen-bond network. However, being a relatively new technique, its information content is not fully explored to date. While the spectroscopic signal can be simulated based on molecular dynamics simulation in connection with a water force field, it is difficult to relate spectroscopic signatures to the underlying microscopic features of the force field. Here, a completely different approach is taken that starts from an as simple as possible model, i.e., a single vibrational mode with electrical and mechanical anharmonicity augmented with homogeneous and inhomogeneous broadening. An intuitive Feynman diagram picture is developed for all possible pulse sequences of hybrid 2D-Raman-THz spectroscopy. It is shown that the model can explain the experimental data essentially quantitatively with a very small set of parameters, and it is tentatively concluded that the experimental signal originates from the hydrogen-bond stretching vibration around 170 cm−1. Furthermore, the echo observed in the experimental data can be quantified by fitting the model. A dominant fraction of its linewidth is attributed to quasi-inhomogeneous broadening in the slow-modulation limit with a correlation time of 370 fs, reflecting the lifetime of the hydrogen-bond networks giving rise to the absorption band.