Experimental observations on carbon isotope exchange in carbonate-water systems

This study presents data from experiments investigating carbon isotope exchange between carbonate solution and solid calcite using carbon-13 as a tracer. All experiments were done with calcite saturated solutions and results show that a two-step adsorption-recrystallization reaction takes place. Isotope effects are caused by exchange by carbonate on the solid surface with carbon in the aqueous phase. Adsorption reactions are characterized by a maximum isotopic exchange capacity (IEC) on crystal surfaces of about 10¹¹ reaction sites per cm², following a second order rate law with respect to ¹³C concentration in solution ($\text{constant}\text{kex ? 10}{}^6\text{cm}{}^5\text{mole}{}^{\mathrm{?1}}\text{s}{}^{\mathrm{?1}}$ and $\text{half-life}\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{= 700}\text{s}$). The adsorption reaction was followed by a first order recrystallization which is characterized by a rate constant of the order of 10^?8 s^?1 and a $\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$ of 10⁷ s. Negative isotopic gradient experiments and runs with calcite crystals in Mg²⁺ spiked solutions provided the preliminary basis for the characterization of the mechanisms of both proposed reactions.