Abstract
We present new experimental data on Mg tracer diffusion in oriented single crystals of forsterite (Fo100) and San Carlos olivine (Fo92) between 1000–1300° C. The activation energies of diffusion are found to be 400 (±60) kJ/mol (≈96 kcal/mol) and 275 (±25) kJ/mol (≈65 kcal/ mol) in forsterite and San Carlos olivine, respectively, along [001] at a fO2 of 10−12 bars. There is no change in activation energy of Mg tracer diffusion within this temperature range. Mg tracer diffusion in a nominally pure forsterite is found to be anisotropic (D∥c > D∥a > D ∥b) and a function of fO2. This fO2 dependence is different from that in olivine containing Fe as a major element, which suggests that the diffusion mechanism of Mg in forsterite is different from that in Fe-bearing olivine at least over some range of fO2. The diffusion mechanism in nominally pure forsterites may involve impurities present below the limits of detection or alternately, Si or Fe3+ interstitial defects, Fe being present as impurity (ppm level) in forsterite. Pressure dependence of Mg tracer diffusivity in forsterite measured to 10 GPa in a multianvil apparatus yields an activation volume of approximately 1–3.5 cm3/ mol. It is found that presence of small amounts of hydrogen bearing species in the atmosphere during diffusion anneal (fH2 ≈ 0.2 bars, fH20 ≈ 0.24 bars) do not affect Mg tracer diffusion in forsterite within the resolution of our measurement at a total pressure of 1 bar. The observed diffusion process is shown to be extrinsic; hence extrapolation of the diffusion data to lower temperatures should not be plagued by uncertainties related to change of diffusion mechanism from intrinsic to extrinsic.
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References
Andersson K (1987) Materialtransport und Defektstrukturen in kristallinem Magnesiumorthosilikat bei höheren Temperaturen, Ph.D Thesis, Technische Universität Clausthal
Andersson K, Borchardt G, Scherrer S, Weber S (1989) Self diffusion in Mg2SiO4 (forsterite) at high temperature: A model case study for SIMS analyses on ceramic surfaces, Fresenius Z Anal Chem 333:383–385
Barrer RM, Bartholomew RF, Rees LVC (1963) Ion exchange in porous crystals Part II. The relationship between selfand exchange-diffusion coefficients. J Phys Chem Solids 24:309–317
Bertran-Alvarez Y, Jaoul O, Liebermann RC (1992) Fe-Mg interdiffusion in single crystal olivine at very high pressure and controlled oxygen fugacity: technological advances and initial data at 7 GPa, Phys. Earth Planetary Interiors 70:102–118
Brady JB (1975) Reference frames and diffusion coefficients. Amer Jour Sci b 275:954–983
Buening DK, Buseck PR (1973) Fe — Mg lattice diffusion in olivine. J Geophys Res 78:6852–6862
Catlow CRA, Cormack AN (1987) Computer modelling of silicates. Int Rev Phys Chem 6:227–250
Clark AM, Long JVP (1971) Anisotropic diffusion of nickel in olivine. In: Thomas Graham memorial symposium on Diffusion Processes, 511–521, Gordon and Breach, New York
Crank J (1975) The mathematics of diffusion. Oxford Univ. Press, Oxford, UK
Cygan RT, Lasaga AC (1985) Self-diffusion of magnesium in garnet at 750° C to 900° C. Amer Jour Sci 285:328–350
Giletti BJ, Semet MP, Yund RA (1978) Studies in diffusion III. Oxygen in feldspars: an ion microprobe determination. Geochim Cosmochim Acta 42:45–57
Graham EK, Barsch GR (1969) Elastic constants of single-crystal forsterite as a function of temperature and pressure. J Geophys Res 74:5949
Hermeling J, Schmalzried H (1984) Tracer diffusion of the Fe-cations in olivine (FexMg1-x)2SiO4 (III). Phys Chem Minerals 11:161–166
Jaoul O, Froidevaux C, Durham WB, Michaut M (1980) Oxygen self-diffusion in forsterite: implications for the high temperature creep mechanism. Earth and Planetary Science Letters 47:391–397
Jurewicz AJG, Watson EB (1988) Cations in olivine, part 2: Diffusion in olivine xenocrysts, with applications to petrology and mineral physic. 99:186–201
Lasaga AC (1980) Defect calculations in silicates: olivine. Amer Mineral 65:1237–1248
Luth RW (1993) Measurement and control of intensive parameters in experiments at high pressures in solid media apparatus. In: Luth RW (ed) Experiments at high pressures and applications to the Earth's mantle, Short Course Handbook. Mineralogical Association of Canada 21:15–38
Manning JR (1968) Diffusion kinetics for atoms in crystals, Van Nostrand, Princeton. NJ, 257 pp.
Misener DJ (1974) Cationic diffusion in olivine to 1400° C and 35 kbar. In: Hofmann AW, Giletti BJ, Yoder HS Jr, Yund RA (eds) Geochemical Transport and Kinetics. Carnegie Institution of Washington
Morioka M (1980) Cation diffusion in olivine — I. Cobalt and magnesium. Geochim Cosmochim Acta 44:759–762
Morioka M, Nagasawa H (1991) Ionic diffusion in olivine. In: Ganguly J (ed) Diffusion, Atomic ordering and mass transport. Advances in Physical Geochemistry 8. Springer, New York
Nakamura A, Schmalzried H (1983) On the nonstoichiometry and point defects of olivine. Phys Chem Minerals 10:27–37
Nakamura A, Schmalzried H (1984) On the Fe2+-Mg interdiffusion in olivine (II). Ber Bunsenges Phys Chem 88:140–145
Niebuhr HH (1975) Electron spin resonance of ferric iron in forsterite, Mg2SiO4. Acta Cryst A31, suppl S274
Niebuhr H (1976) Elektron-Spin Resonance von dreiwertigen Eisen in Forsterit. Habilitationsschrift, FB Geowissenschaften, Marburg
Ohtani E (1979) Melting relations of Fe2SiO4 upto about 200 kbar. J Phys Earth 27:189–208
Ottonello G, Princivalle F, Delia Giusta A (1990) Temperature, composition and fO2 effects on intersite distribution of Mg and Fe2+ in olivines: experimental evidence and theoretical interpretation. Phys Chem. Mineral 17:301–312
Rubie DC, Karato S, Yan H, O'Neill HStC (1993a) Low differential stress and controlled chemical environment in multianvil highpressure experiments. Phys Chem Miner 20:315–322
Rubie DC, Ross CR II, Carroll MR, Elphick SC (1993b) Oxygen self-diffusion in Na2Si4O9 liquid up to 10 GPa and estimation of high-pressure melt viscosities. Am Mineral 78:574–582
Schmalzried H (1983) Thermodynamics of compounds with narrow range of stoichimetry. Ber Bunsenges Phys Chem 87:726–733
Sockel HG, Hallwig D (1977) Ermittlung kleiner Diffusionkoeffizienten mittels SIMS in oxydischen Verbindungen. Mikrochim Acta (Wien) 7:95–107
Sockel HG, Hallwig D, Schachtner R (1980) Investigations of slow exchange processes at metal and oxide surfaces and interfaces using secondary ion mass spectrometry. Materials Science and Engineering 42:59–64
Stocker RL, Smyth DM (1978) Effect of enstatite activity and oxygen partial pressure on the point-defect chemistry of olivine. Phys Earth and Planetary Interiors 16:145–156
Takeda H (1990) Diffusion of ions in mantle minerals at high pressure and high temperature. In: Marumo F (ed) Dynamic Processes of Material Transport and Transformtion in the Earth's Interior. Terra Scientific Publishing, Tokyo, pp 217–238
Takei H, Kobayashi T (1974) Growth and properties of Mg2SiO single crystals. Jour Crystal Growth 23:121–124
Tannhauser DS (1956) Concerning a systematic error in measuring diffusion constants. J Appl Phys 27:662
Tsuzaki Y, Takahashi E (1992) Pressure corrections on thermocouple EMFs with a Multianvil apparatus. 29th International Geological Congress, Abstracts Vol. 1, 58
Williams DW, Kennedy GC (1969) Melting curve of diopside to 50 kilobars. J Geophys Res 74:4359–4366
Wuensch BJ (1982) Diffusion in stoichiometric close-packed oxides. In: Beniere F, Catlow CRA (eds) Mass Transport in Oxides. NATO-ASI series, 353–376
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Chakraborty, S., Farver, J.R., Yund, R.A. et al. Mg tracer diffusion in synthetic forsterite and San Carlos olivine as a function of P, T and fO2 . Phys Chem Minerals 21, 489–500 (1994). https://doi.org/10.1007/BF00203923
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DOI: https://doi.org/10.1007/BF00203923