Oxygen isotope fractionation between water and the aqueous hydroxide ion
2020
Abstract The stable oxygen isotope fractionation factor between water and the aqueous hydroxide ion is a fundamental geochemical parameter widely used in the Earth Sciences and other fields. Studies from the 1960s reported α ( H 2 O ( l ) - OH - ( aq ) ) , the fractionation factor between liquid H216O and aqueous OH-, theoretically as 1.046 and ∼1.048 (46‰ and 48‰ at 15 °C and 25 °C) and experimentally as 1.045 (45‰) at 15°C. These, or similar values have been used in the literature for almost 60 years. Here I present quantum-chemical (QC) calculations, showing that the above theoretical values are fundamentally wrong as they pertain to free OH- (incorrectly assumed equivalent to aqueous OH-) and ignore intermolecular vibrational modes in solution. As a result, the theoretical values from the 1960s are off by a factor of ∼2 (when expressed in ‰), suggesting that the experimental value is also wrong. QC computations of OH--water clusters with up to n = 22 water molecules demonstrate that hydrogen bonding in solution significantly affects the fundamental vibrational modes associated with OH- and substantially reduces the oxygen isotope fractionation between water and OH-(aq), compared to the fractionation between water and free OH-. The most accurate QC methods tested here yield values for the fractionation factor between H216O and OH- in water clusters with n = 7 to 22 water molecules of ∼1.019 to ∼1.024 (19 to 24‰) at 25°C based on the harmonic approximation. Estimated effects due to anharmonicity (from numerically demanding computations) could add uncertainties of up to ∼3‰ to these values.
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