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Experimental growth of åkermanite reaction rims between wollastonite and monticellite: evidence for volume diffusion control

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Abstract

Growth rates of monomineralic, polycrystalline åkermanite (Ca2MgSi2O7) rims produced by solid-state reactions between monticellite (CaMgSiO4) and wollastonite (CaSiO3) single crystals were determined at 0.5 GPa dry argon pressure, 1,000–1,200°C and 5 min to 60 h, using an internally heated pressure vessel. Inert Pt-markers, initially placed at the monticellite–wollastonite interface, indicate symmetrical growth into both directions. This and mass balance considerations demonstrate that rim growth is controlled by transport of MgO. At 1,200°C and run durations between 5 min and 60 h, rim growth follows a parabolic rate law with rim widths ranging from 0.4 to 16.3 μm indicating diffusion-controlled rim growth. The effective bulk diffusion coefficient \( D_{\text{eff,MgO}}^{\text{Ak}} \) is calculated to 10−15.8±0.1 ms−1. Between 1,000°C and 1,200°C, the effective bulk diffusion coefficient follows an Arrhenius law with E a = 204 ± 18 kJ/mol and D 0 = 10−8.6±1.6 ms−1. Åkermanite grains display a palisade texture with elongation perpendicular to the reaction interface. At 1,200°C, average grain widths measured normal to elongation, increase with the square root of time and range from 0.4 to 5.4 μm leading to a successive decrease in the grain boundary area fraction, which, however, does not affect \( D_{\text{eff,MgO}}^{\text{Ak}} \) to a detectible extent. This implies that grain boundary diffusion only accounts for a minor fraction of the overall chemical mass transfer, and rim growth is essentially controlled by volume diffusion. This is corroborated by the agreement between our estimates of the effective MgO bulk diffusion coefficient and experimentally determined volume diffusion data for Mg and O in åkermanite from the literature. There is sharp contrast to the MgO–SiO2 binary system, where grain boundary diffusion controls rim growth.

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References

  • Abart R, Sperb R (2001) Metasomatic coronas around hornblendite xenoliths in granulite facies marble, Ivrea Zone, N-Italy II: oxygen isotope patterns. Contrib Mineral Petrol 141:494–504

    Article  Google Scholar 

  • Abart R, Schmid R, Harlov D (2001) Metasomatic coronas around hornblendite xenoliths in granulite facies marble, Ivrea zone, N Italy, I: constraints on component mobility. Contrib Mineral Petrol 141:473–493

    Article  Google Scholar 

  • Abart R, Kunze K, Milke R, Sperb R, Heinrich W et al (2004) Silicon and oxygen self-diffusion in enstatite polycrystals: the Milke et al. (2001) rim growth experiments revisited. Contrib Mineral Petrol 147:633–646

    Article  Google Scholar 

  • Abart R, Petrishcheva E, Fischer FD, Svoboda J (2009) Thermodynamic model for diffusion controlled reaction rim growth in a binary system: application to the forsterite-enstatite-quartz system. Am J Sci 309:114–131

    Article  Google Scholar 

  • Ashworth JR, Birdi JJ (1990) Diffusion modelling of coronas around olivine in an open system. Geochim Cosmochim Acta 54:2389–2401

    Article  Google Scholar 

  • Ashworth JR, Sheplev VS (1997) Diffusion modelling of metamorphic layered coronas with stability criterion and consideration of affinity. Geochim Cosmochim Acta 61:3671–3689

    Article  Google Scholar 

  • Ashworth JR, Sheplev VS, Bryxina NA, Kolobov VY, Reverdatto VV (1998) Diffusion controlled corona reaction and overstepping of equilibrium in a garnet granulite, Yenisey Ridge, Siberia. J Metam Geol 16:231–246

    Article  Google Scholar 

  • Brindley GW, Hayami R (1965) Kinetics and mechanism of formation of forsterite (Mg2SiO4) by solid state reaction of MgO and SiO2. Phylos Mag 12:505–514

    Article  Google Scholar 

  • Carlson WD (2002) Scales of disequilibrium and rates of equilibration during metamorphism. Am Mineral 87:185–204

    Google Scholar 

  • Carlson WD (2010) The dependence of reaction kinetics on H2O activity as inferred from rates of intergranular diffusion of aluminum. J Metam Geol (in press)

  • Carlson WD, Gordon CL (2004) Effects of matrix grain size on the kinetics of intergranular diffusion. J Metam Geol 22:733–742

    Article  Google Scholar 

  • Crank J (1975) The mathematics of diffusion, 2nd edn. Oxford University Press, Oxford

    Google Scholar 

  • Fisher GW (1973) Nonequilibrium termodynamics as a model for diffusion-controlled metamorphic processes. Am J Sci 273:897–924

    Article  Google Scholar 

  • Fisher GW (1978) Rate laws in metamorphism. Geochim Cosmochim Acta 42:1035–1050

    Article  Google Scholar 

  • Fisler DK, Mackwell SJ (1994) Kinetics of diffusion-controlled growth of fayalite. Phys Chem Miner 21:156–165

    Article  Google Scholar 

  • Fisler DK, Mackwell SJ, Petsch S (1997) Grain boundary diffusion in enstatite. Phys Chem Mineral 24:264–273

    Article  Google Scholar 

  • Frantz JD, Mao HK (1976) Bimetasomatism resulting from intergranular diffusion: I. A theoretical model for monomineralic reaction zone sequences. Am J Sci 276:817–840

    Article  Google Scholar 

  • Gardés E, Wunder B, Wirth R, Heinrich W (2010) Growth of multilayered polycrystalline reaction rims in the MgO-SiO2 system, part I: experiments. Contrib Mineral Petrol. doi:10.1007/s00410-010-0517-z

  • Götze LC, Abart R, Rybacki E, Keller LM, Petrishcheva E, Dresen G (2009) Reaction rim growth in the System MgO-Al2O3-SiO2 under uniaxial stress. Mineral Petrol. doi:10.1007/s00710-009-0080-3

  • Harrison LG (1961) Influence of dislocations on diffusion kinetics in solids with particular reference to alkali halides. Trans Faraday Soc 57:1191–1199

    Article  Google Scholar 

  • Holland TJB, Powell R (1998) An internally consistent thermodynamic dataset for phases of petrologic interest. J Met Geol 16:309–343

    Article  Google Scholar 

  • Ito M, Ganguly J (2009) Mg diffusion in CAIs: new experimental data for melilites and implications for the Al-Mg chronometer and thermal history of CAIs, 40th Lunar and Planetary Science Conference, 1753.pdf

  • Ito M, Yurimoto H, Morioka M, Nagasawa H (2001) Mg diffusion in akermanite gehlenite and Ak30Geh70 solid solution. Lunar Planet Sci XXXII:1518

    Google Scholar 

  • Joachim B, Gardés E, Abart R, Heinrich W (2009) Diffusion-controlled growth of bimineralic merwinite-diopside reaction rims between wollastonite-monticellite interfaces. General Assembly European Geosciences Union, Vienna

    Google Scholar 

  • Joesten R (1977) Evolution of mineral assemblage zoning in diffusion metasomatism. Geochim Cosmochim Acta 41:649–670

    Article  Google Scholar 

  • Joesten R (1991a) Grain-boundary diffusion kinetics in silicate and oxide minerals. In: Ganguly J (ed) Diffusion, atomic ordering, and mass transport. Springer, Berlin, pp 345–395

    Google Scholar 

  • Joesten R (1991b) Kinetics of coarsening and diffusion-controlled mineral growth. In: Kerrick DM (ed) Contact metamorphism. Reviews in Mineralogy, vol 26. Washington, DC, pp 507–582

  • Joesten R, Fisher G (1988) Kinetics of diffusion Joesten R and Fisher GW (1988) Kinetics of diffusion-controlled mineral growth in the Christmas Mountains (Texas) contact aureole. Geol Soc Am Bull 100:714–732

    Article  Google Scholar 

  • Johnson CD, Carlson WD (1990) The origin of olivine-plagioclase coronas in metagabbros from the Adirondack Mountains, NewYork. J Metam Geol 8:697–717

    Article  Google Scholar 

  • Kaur I, Mishin Y, Gust W (1995) Fundamentals of grain and interphase boundary diffusion, 3rd edn. Wiley, Chichester

    Google Scholar 

  • Keller LM, Abart R, Wirth R, Schmid DW, Kunze K (2006) Enhanced mass transfer through short-circuit diffusion: growth of garnet reaction rims at eclogite facies conditions. Am Mineral 91:1024–1038

    Article  Google Scholar 

  • Keller LM, Hauzenberger CA, Abart R (2007) Diffusion along interphase boundaries and its effect on retrograde zoning pattern of metamorphic minerals. Contrib Mineral Petrol 154:205–216

    Article  Google Scholar 

  • Keller LM, Wunder B, Rhede D, Wirth R (2008) Component mobility at 900 degrees C and 18 kbar from experimentally grown coronas in a natural gabbro. Geochim Cosmochim Acta 72:4307–4322

    Article  Google Scholar 

  • Kretz R (1983) Symbols for rock-forming minerals. Am Mineral 68:277–279

    Google Scholar 

  • Markl G, Foster CT, Bucher K (1998) Diffusion-controlled olivine corona textures in granitic rocks from Lofoten, Norway: calculation of Onsager diffusion coefficients, thermodynamic modelling and petrological implications. J Metam Geol 16:607–623

    Article  Google Scholar 

  • Milke R, Heinrich W (2002) Diffusion-controlled growth of wollastonite rims between quartz and calcite: comparison between nature and experiment. J Metamorph Geol 20:467–480

    Article  Google Scholar 

  • Milke R, Wiedenbeck M, Heinrich W (2001) Grain boundary diffusion of Si, Mg, and O in enstatite reaction rims: a SIMS study using isotopically doped reactants. Contrib Mineral Petrol 142:15–26

    Article  Google Scholar 

  • Milke R, Dohmen R, Becker H-W, Wirth R (2007) Growth kinetics of enstatite reaction rims studied on nano-scale, Part I: methodology, microscopic observations and the role of water. Contrib Mineral Petrol 154:519–533

    Article  Google Scholar 

  • Milke R, Abart R, Kunze K, Koch-Müller M, Schmid D, Ulmer P (2009a) Matrix rheology effects on reaction rim growth I: evidence from orthopyroxene rim growth experiments. J Metam Geology 27:71–82

    Article  Google Scholar 

  • Milke R, Kolzer K, Koch-Müller M, Wunder B (2009b) Orthopyroxene rim growth between olivine and quartz at low temperatures (750–950°C) and low water concentration. Contrib Mineral Petrol 97:223–232

    Google Scholar 

  • Prenzel J, Abart R, Keller L (2008) Complex chemical zoning in eclogite facies garnet reaction rims: the role of grain boundary diffusion. Contrib Mineral Petrol 95:303–313

    Google Scholar 

  • Rossi RC, Fulrath RM (1962) Epitaxial growth of spinel by the reaction in solid state. J Am Ceram Soc 46:145–149

    Article  Google Scholar 

  • Ryerson FJ, McKeegan D (1994) Determination of oxygen self diffusion in akermanite, anorthite, diopside and spinel: implications for oxygen isotopic anomalies and the thermal histories of Ca-Al-rich inclusions. Geochim Cosmochim Acta 17:3713–3734

    Article  Google Scholar 

  • Schmid DW, Abart R, Podladchikov YY, Milke R (2009) Matrix rheology effects on reaction rim growth II: coupled diffusion and creep model. J Met Geol 27:83–91

    Google Scholar 

  • Watson EB, Price JD (2001) Kinetics of the reaction MgO–Al2O3 = 3 MgAl2O4 and Al-Mg interdiffusion in spinel at 1200–2000°C and 1.0 to 4.0 GPa. Geochim Cosmochim Acta 66:2123–2138

    Article  Google Scholar 

  • Whitney WP, Stubican VS (1971) Interdiffusion studies in the system MgO-Al2O3. J Phys Chem Solids 32:305–312

    Article  Google Scholar 

  • Yund RA (1997) Rates of grain boundary diffusion through enstatite and forsterite reaction rims. Contrib Min and Petrol 126:224–236

    Article  Google Scholar 

  • Yurimoto H, Morioka M, Nagasawa H (1989) Diffusion in single crystals of melilite: I. Oxygen. Geochim Cosmochim Acta 53:2387–2394

    Article  Google Scholar 

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Acknowledgments

We thank D. Rhede for microprobe measurements, G. Berger and O. Diedrich for sample preparation, M. Kreplin for preparation of starting sandwiches and M. Wilke, R. Schulz and A. Ebert for technical support with IHPV experiments. We are grateful for detailed reviews by Sumit Chakraborty and William Carlson who substantially improved the paper. This work was funded by the Deutsche Forschungsgemeinschaft within the framework of FOR 741, project HE 2015/9-1, which is gratefully acknowledged.

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Correspondence to Bastian Joachim.

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Communicated by J. Hoefs.

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Joachim, B., Gardés, E., Abart, R. et al. Experimental growth of åkermanite reaction rims between wollastonite and monticellite: evidence for volume diffusion control. Contrib Mineral Petrol 161, 389–399 (2011). https://doi.org/10.1007/s00410-010-0538-7

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