Vibrational coupling in solvated form of eigen proton: tuning the coupling via isotopologues

Experimental studies have shown that features in the vibrational spectra of H$_3$O$^+$ can be modulated not only by the type messengers, but also by the number of messengers. Recently, we compared the experimental H$_3$O$^+$Ar$_m$, $m$=1-3 spectra with accurate theoretical simulations and obtain the peak position and absorption intensity by solving the quantum vibrational Schrodinger equation using the potential and dipole moment obtained ab initio methods.\footnote{J-W Li, M. Morita, T. Takahashi and J-L Kuo, J. Phys. Chem. A, 119, 10887 (2015)} In this work, we studied isotopolgues of this ionic cluster to glean into the details of the vibrational couplings manifested in the spectra region of 1500-3800 cm\wn