Isotopic effects on diffusion in MgO melt simulated by the molecular dynamics (MD) method and implications for isotopic mass fractionation in magmatic systems

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Scientific paper

Mass dependence of diffusion in MgO melt has been determined by means of molecular dynamics (MD) simulation. Self-diffusion coefficients of Mg and O with hypothetical masses in the ranges 1.6-360 and 1.0667-240 amu, respectively, are approximately proportional to the atomic mass to the -0.1 power for Mg in the temperature range 3000 to 6000 K and to the -0.091 power for O at 6000 K. Diffusivity mass dependence in the melt is smaller than in gas phase (i.e., [ m ] -1/2 ) and is consistent with previous calculations for melts of rare gases and alkali halides. These results together with theoretical consideration may suggest that diffusivity mass dependence in a melt is small (roughly [ m ] -0.1 ) probably in a silicate melt too. Based on the present results, isotopic mass fractionation in geological processes controlled by diffusion in a melt is discussed. Isotopic mass fractionation could be smaller than previously assumed because of the calculated [ m ] -0.1 dependence vs. the assumed [ m ] -1/2 in previous work. Isotopic mass fractionation due to diffusion in a magmatic melt is generally negligible in geological systems. However, a detectable amount of isotopic mass fractionation could be possible for light elements (e.g., >10%. for 26 Mg / 24 Mg ) in a specific geological setting, if an element diffuses into a region where the element is initially at zero concentration. Models for crystal growth from a solution predict that negligible fractionation will occur (e.g., < 10%. for 26 Mg / 24 Mg ) at small supersaturations of less than about 0.3-0.4 even if growth is diffusion controlled.

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