Solvent-corrected
reduced isotropic spectra of carbonate and bicarbonate
in light and heavy water have been measured from 150 to 325 °C
at 21 MPa using a confocal Raman microscope and a custom-built titanium
flow cell with sapphire windows. The positions of the symmetric vibrational
modes of CO3
2– and HCO3
–/DCO3
– were compared to
density functional theory (DFT) calculations with a polarizable continuum
model in light and heavy water. The experimental Raman peak positions
shifted linearly toward lower wavenumbers with increasing temperatures.
Raman scattering coefficients, measured relative to a perchlorate
internal standard, were used to determine equilibrium molalities of
the carbonate and bicarbonate species. These yielded quantitative
thermodynamic equilibrium quotients for the reaction CO3
2– + H2O ⇌ HCO3
– + OH– and its deuterium counterpart.
Ionization constants for HCO3
– and DCO3
–, K
2a,H,m and K
2a,D,m, calculated in their standard states
using the Meissner–Tester activity coefficient model, were
combined with critically evaluated literature data to derive expressions
for their dependence on temperature and pressure, expressed as solvent
molar volume, over the range 25 to 325 °C from p
sat to 21 MPa. These are the first experimental values
to be reported for this reaction in light water above 250 °C
and in heavy water above 25 °C. The value of the deuterium isotope
effect on the chemical equilibrium constant, ΔpK
2a,m = pK
2a,D,m – pK
2a,H,m, decreased from ΔpK
2a,m = 0.67 ± 0.07 at 25 °C to ΔpK
2a,m = 0.17 ± 0.13 at 325 °C and p
sat.