Carbon isotope effects in carbonate systems

Global carbon cycle models require a complete understanding of the δ¹³C variability of the Earth’s C reservoirs as well as the C isotope effects in the transfer of the element among them. An assessment of δ¹³C changes during CO₂ loss from degassing magmas requires knowledge of the melt-CO₂ carbon isotope fractionation. In order to examine the potential size of this effect for silicate melts of varying composition, ¹³C reduced partition functions were computed in the temperature range 275 to 4000 K for carbonates of varying bond strengths (Mg, Fe, Mn, Sr, Ba, Pb, Zn, Cd, Li, and Na) and the polymorphs of calcite. For a given cation and a given pressure the ¹³C content increases with the density of the carbonate structure. For a given structure the tendency to concentrate ¹³C increases with pressure. The effect of pressure (‰/10 kbar) on the size of the reduced partition function of aragonite varies with temperature; in the pressure range 1 to 10⁵ bars the change is given by:

(1)