1. Urey HC. The Thermodynamic Properties of Isotopic Substances. Journal of the Chemical Society, 562-581 (1947).
2. Daëron M, et al. Most Earth-surface calcites precipitate out of isotopic equilibrium. Nature Communications 10, (2019).
3. Yuan J, Zhang Zg, Zhang Yg. 13C-18O bonds in precipitated calcite and aragonite: An ab initio study. Open Journal of Geology 4, 436-480 (2014).
4. Ghosh P, et al. 13C-18O bonds in carbonate minerals: A new kind of paleothermometer. Geochimica Et Cosmochimica Acta 70, 1439-1456 (2006).
5. Yuan J. Influence of Mg2+, Fe2+ and Zn2+ cations on 13C-18O bonds in precipitated aragonite, calcite and dolomite: An ab initio study. Open Journal of Geology 5, 254-267 (2015).
6. Yuan J. Reduced partition function ratio in the frequency complex plane: A mathematical approach. Open Journal of Geology 4, 654-664 (2014).
7. Bigeleisen J, Mayer MG. Calculation of Equilibrium Constants for Isotopic Exchange Reactions. J Chem Phys 15, 261-267 (1947).
8. DePaolo DJ. Surface kinetic model for isotopic and trace element fractionation during precipitation of calcite from aqueous solutions. Geochimica Et Cosmochimica Acta 75, 1039-1056 (2011).
9. Watson EB. Surface enrichment and trace-element uptake during crystal growth. Geochimica Et Cosmochimica Acta 60, 5013-5020 (1996).
10. Watson EB. A conceptual model for near-surface kinetic controls on the trace-element and stable isotope composition of abiogenic calcite crystals. Geochimica Et Cosmochimica Acta 68, 1473-1488 (2004).
11. Watson EB, Liang Y. A simple model for sector zoning in slowly grown crystals: Implications for growth rate and lattice diffusion, with emphasis on accessory minerals in crustal rocks. Am Mineral 80, 1179-1187 (1995).
12. Frisch MJ, et al. Gaussian 09, Revision A.01. Gaussian, Inc. (2009).