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Analytic second derivatives of the total energy for electrostatically solvated molecules AIP Conf.Heats of hydration of OD-have been determined by measuring thresholds for collision-induced dissociation reac~ons of hyd~ated OD-io~s. These d~ta showed similar values of hydrogen bonding energy for OD-a~d DaO ~ Atte~uatlOn cross se~tlO~ for vanous s?lvat.ed OD-ions were also measured and compared with DaO a~d ~ts solvated denvatlves. The relative sizes of solvated hydroxyl and hydrogen ions were f?u~d ~o b: Within ~% o.f each other for the unsolvated, mono-, di-, and trisolvated species. The very strong ~Imll~nty m both IOn size and hydrog~n. bonding energy of the respective positive and negative gaseous IOns m the water sY;,tem was used to divide the sum of the solvation energies of gaseous ions D 9 0.+ and D 70.-, and thus denve a value of 12.0±O.3 eV for the heat of solution of the proton.•