A model for O/O variations in CO2 evolved from goethite during the solid-state α-FeOOH to α-Fe2O3 phase transition

“Plateau” δ¹⁸O values of CO₂ that evolved from the Fe(CO₃)OH component during isothermal vacuum dehydrations (200-230 °C) of 18 natural goethites range from 8.2 to 28.1‰. In contrast, the measured δ¹⁸O values of the goethite structural oxygen range from −11.3 to 1.7‰. The results of this study indicate that the apparent oxygen isotope fractionation factor (¹⁸α_app) between plateau CO₂ and initial goethite is systematically related to the rate of isothermal vacuum dehydration. The nonlinear correlation and the magnitudes of the ¹⁸α_app values are predicted by a relatively simple mass balance model with the following assumptions: (1) the rate of isothermal vacuum dehydration of goethite (for the interval from 0 to ∼60 to 80% loss of structural hydroxyl hydrogen) can be reasonably well represented by first-order kinetics and (2) isotopic exchange between evolving H₂O vapor and solid occurs only in successive, local transition states. The generally good correspondence between the model predictions and the experimental data seems to validate these assumptions. Thus, the ¹⁸O/¹⁶O ratios of the evolved CO₂ can act as probes into the transient processes operating at the molecular level during the solid-state goethite-to-hematite phase transition. For example, the activation energy for the rate constant associated with the transition state, oxygen isotopic exchange between solid and H₂O vapor, is tentatively estimated as 28 ± 11 KJ/mol. Such knowledge may be of consequence in understanding the significance of ¹⁸O/¹⁶O ratios in hematites from some natural environments (e.g., Mars?).Kinetic data and δ¹⁸O values of CO₂ are routinely obtained in the course of measurements of the abundance and δ¹³C values of the Fe(CO₃)OH in goethite. The observed correlation between ¹⁸α_app and dehydration rates suggests that plateau δ¹⁸O values of evolved CO₂ may provide complementary estimates of the δ¹⁸O values of total goethite structural oxygen (O, OH, CO₂) with an overall precision of about ±1‰. However, because of isotopic exchange during the dehydration process, δ¹⁸O values of the evolved CO₂ do not reflect the original δ¹⁸O values of the CO₂ that was occluded as Fe(CO₃)OH in goethite.