Isotopic Constraints on Earth System Processes

Figure 2.9 The 2.5 hour run modeled using a linear dependence of CaO activity on SiO 2(left panels) versus and exponential dependence on SiO 2(right panels). The inferred β factors are the same regardless of which approach is used.

1 Antonelli, M., Mittal, T., McCarthy, A., Tripoli, B., Watkins, J., & DePaolo, D. (2019a). Ca isotopes record rapid crystal growth in volcanic and subvolcanic systems. Proceedings of the National Academy of Sciences, 116, 20315–20321. https://doi.org/10.1073/pnas.1908921116

2 Antonelli, M. A., Schiller, M., Schauble, E. A., Mittal, T., DePaolo, D. J., Chacko, T., et al. (2019b). Kinetic and equilibrium Ca isotope effects in high‐T rocks and minerals. Earth and Planetary Science Letters, 517, 71–82. https://doi.org/10.1016/j.epsl.2019.04.013

3 Barrat, J.‐A., Chaussidon, M., Bohn, M., Gillet, P., Göpel, C., & Lesourd, M. (2005). Lithium behavior during cooling of a dry basalt: An ion‐microprobe study of the lunar meteorite Northwest Africa 479 (NWA 479). Geochimica et Cosmochimica Acta, 69(23), 5597–5609. https://doi.org/10.1016/j.gca.2005.06.032

4 Beck, P., Chaussidon, M., Barrat, J.‐A., Gillet, P., & Bohn, M. (2006). Diffusion induced Li isotopic fractionation during the cooling of magmatic rocks: the case of pyroxene phenocrysts from nakhlite meteorites. Geochimica et Cosmochimica Acta, 70(18), 4813–4825. https://doi.org/10.1016/j.gca.2006.07.025

5 Bourg, I. C., Richter, F. M., Christensen, J. N., & Sposito, G. (2010). Isotopic mass dependence of metal cation diffusion coefficients in liquid water. Geochimica et Cosmochimica Acta, 74(8), 2249–2256. https://doi.org/10.1016/j.gca.2010.01.024

6 Chakraborty, S., Dingwell, D. B., & Rubie, D. C. (1995). Multicomponent diffusion in ternary silicate melts in the system K2O‐Al2O3‐SiO2: II. Mechanisms, systematics, and geological applications. Geochimica et Cosmochimica Acta, 59(2), 265–277. https://doi.org/10.1016/0016‐7037(94)00283‐R

7 Chen, L.‐M., Teng, F.‐Z., Song, X.‐Y., Hu, R.‐Z., Yu, S.‐Y., Zhu, D., & Kang, J. (2018). Magnesium isotopic evidence for chemical disequilibrium among cumulus minerals in layered mafic intrusion. Earth and Planetary Science Letters, 487, 74–83. https://doi.org/10.1016/j.epsl.2018.01.036

8 Chopra, R., Richter, F. M., Watson, E. B., & Scullard, C. R. (2012). Magnesium isotope fractionation by chemical diffusion in natural settings and in laboratory analogues. Geochimica et Cosmochimica Acta, 88, 1–18. https://doi.org/10.1016/j.gca.2012.03.039

9 Christensen, J. N., Qin, L., Brown, S. T., & DePaolo, D. J. (2018). Potassium and calcium isotopic fractionation by plants (soybean [Glycine max], rice [Oryza sativa], and wheat [Triticum aestivum]). ACS Earth and Space Chemistry, 2(7), 745–752. https://doi.org/10.1021/acsearthspacechem.8b00035

10 Cooper, A. R. (1968). The use and limitations of the concept of an effective binary diffusion coefficient for multi‐component diffusion. Mass Transport in Oxides, 296, 79–84.

11 Dauphas, N. (2007). Diffusion‐driven kinetic isotope effect of Fe and Ni during formation of the widmanstätten pattern. Meteoritics & Planetary Science, 42(9), 1597–1613. https://doi.org/10.1111/j.1945‐5100.2007.tb00593.x

12 Dauphas, N., Teng, F.‐Z., & Arndt, N. T. (2010). Magnesium and iron isotopes in 2.7 Ga Alexo komatiites: mantle signatures, no evidence for Soret diffusion, and identification of diffusive transport in zoned olivine. Geochimica et Cosmochimica Acta, 74(11), 3274–3291. https://doi.org/10.1016/j.gca.2010.02.031

13 Dingwell, D. B. (1990). Effects of structural relaxation on cationic tracer diffusion in silicate melts. Chemical Geology, 82, 209–216. https://doi.org/10.1016/0009‐2541(90)90082‐I

14 Gallagher, K., & Elliott, T. (2009). Fractionation of lithium isotopes in magmatic systems as a natural consequence of cooling. Earth and Planetary Science Letters, 278(3–4), 286–296. https://doi.org/10.1016/j.epsl.2008.12.009

15 Gao, Y., Snow, J. E., Casey, J. F., & Yu, J. (2011). Cooling‐induced fractionation of mantle Li isotopes from the ultraslow‐spreading Gakkel Ridge. Earth and Planetary Science Letters, 301(1–2), 231–240. https://doi.org/10.1016/j.epsl.2010.11.003

16 Goel, G., Zhang, L., Lacks, D. J., & Van Orman, J. A. (2012). Isotope fractionation by diffusion in silicate melts: Insights from molecular dynamics simulations. Geochimica et Cosmochimica Acta, 93, 205–213. https://doi.org/10.1016/j.gca.2012.07.008

17 Guo, C., & Zhang, Y. (2016). Multicomponent diffusion in silicate melts: SiO2–TiO2–Al2O3–MgO–CaO–Na2O–K2O system. Geochimica et Cosmochimica Acta, 195, 126–141. https://doi.org/10.1016/j.gca.2016.09.003

18 Guo, C., & Zhang, Y. (2018). Multicomponent diffusion in basaltic melts at 1350°C. Geochimica et Cosmochimica Acta, 228, 190–204. https://doi.org/10.1016/j.gca.2018.02.043

19 Holycross, M., Watson, E., Richter, F., & Villeneuve, J. (2018). Diffusive fractionation of Li isotopes in wet, highly silicic melts. Geochemical Perspectives Letters, 6, 39–42. doi: 10.7185/geochemlet.1807

20 Jeffcoate, A., Elliott, T., Kasemann, S., Ionov, D., Cooper, K., & Brooker, R. (2007). Li isotope fractionation in peridotites and mafic melts. Geochimica et Cosmochimica Acta, 71(1), 202–218. https://doi.org/10.1016/j.gca.2006.06.1611

21 Kil, Y., Jung, H., & Yang, K. (2016). Li isotopic disequilibrium of the Cenozoic subcontinental lithospheric mantle in East Asia. Geosciences Journal, 20(5), 597–607. https://doi.org/10.1007/s12303‐016‐0024‐y

22 Kress, V., & Ghiorso, M. (1993). Multicomponent diffusion in MgO‐Al2O3‐SiO2 and CaO‐MgO‐Al2O3‐SiO2 melts. Geochimica et Cosmochimica Acta, 57(18), 4453–4466. https://doi.org/10.1016/0016‐7037(93)90495‐I

23 Kress, V. C., & Ghiorso, M. S. (1995). Multicomponent diffusion in basaltic melts. Geochimica et Cosmochimica Acta, 59(2), 313–324. https://doi.org/10.1016/0016‐7037(94)00286‐U

24 Liang, Y. (2010). Multicomponent diffusion in molten silicates: theory, experiments, and geological applications. Reviews in Mineralogy and Geochemistry, 72(1), 409–446. https://doi.org/10.2138/rmg.2010.72.9

25 Liang, Y., & Davis, A. M. (2002). Energetics of multicomponent diffusion in molten CaO‐Al2O3‐SiO2. Geochimica et Cosmochimica Acta, 66(4), 635–646. https://doi.org/10.1016/S0016‐7037(01)00793‐1

26 Liang, Y., Richter, F. M., & Watson, E. B. (1996). Diffusion in silicate melts: II. Multicomponent diffusion in CaO‐Al2O3‐SiO2 at 1500 °C and 1 GPa. Geochimica et Cosmochimica Acta, 60(24), 5021–5035. https://doi.org/10.1016/S0016‐7037(96)00352‐3

27 Lundstrom, C. C., Chaussidon, M., Hsui, A. T., Kelemen, P., & Zimmerman, M. (2005). Observations of Li isotopic variations in the Trinity Ophiolite: evidence for isotopic fractionation by diffusion during mantle melting. Geochimica et Cosmochimica Acta, 69(3), 735–751. https://doi.org/10.1016/j.gca.2004.08.004

28 Marschall, H. R., von Strandmann, P. A. P., Seitz, H.‐M., Elliott, T., & Niu, Y. (2007). The lithium isotopic composition of orogenic eclogites and deep subducted slabs. Earth and Planetary Science Letters, 262(3–4), 563–580. doi: 10.1016/j.espl.2007.08.005

29 Morgan, L. E., Ramos, D. P. S., Davidheiser‐Kroll, B., Faithfull, J., Lloyd, N. S., Ellam, R. M., & Higgins, J. A. (2018). High‐precision 41K/39K measurements by MC‐ICP‐MS indicate terrestrial variability of δ41K. Journal of Analytical Atomic Spectrometry, 33(2), 175–186. https://doi.org/10.1039/C7JA00257B