Thermodynamic model for reaction rim growth: Interface reaction and diffusion control

American Journal of Science

Volumn 311, Issue 6, 2011, Pages 517-527

  Abart, Rainer ^a   Petrishcheva, Elena ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

Diffusion; Free energy dissipation; Growth behavior; Interface mobility; Interface reaction; Reaction rim growth

Indexed keywords

CHEMICAL REACTION; ELEMENT MOBILITY; ENERGY DISSIPATION; GEOMETRY; REACTION KINETICS; THERMODYNAMICS;

EID: 83155168478     PISSN: 00029599     EISSN: None     Source Type: Journal    
DOI: 10.2475/06.2011.02     Document Type: Article

References (34)

1. Abart, R., and Sperb, R., 2001, Metasomatic coronas around hornblendite xenoliths in granulite facies marble, Ivrea Zone, N-Italy II: Oxygen isotope patterns: Contributions to Mineralogy and Petrology, v. 141, n. 4, p. 494-504, http://dx.doi.org/10.1007/s004100100256 (Pubitemid 32710530)
2. Abart, R., Schmid, R., and Harlov, D., 2001, Metasomatic coronas around hornblendite xenoliths in granulite facies marble, Ivrea Zone, N-Italy I: constraints on component mobility: Contributions to Mineralogy and Petrology, v. 141, n. 4, p. 473-493, http://dx.doi.org/10.1007/s004100100255 (Pubitemid 32710529)
3. Abart, R., Kunze, K., Milke, R., Sperb, R., and Heinrich, W., 2004, Silicon and oxygen self-diffusion in enstatite polycrystals: the Milke et al. (2001) rim growth experiments revisited: Contributions to Mineralogy and Petrology, v. 147, p. 633-646, http://dx.doi.org/10.1007/s00410-004-0596-9 (Pubitemid 39169140)
4. Abart, R., Petrishcheva, E., Fischer, F. D., and Svoboda, J., 2009, Thermodynamic model for diffusion controlled reaction rim growth in a binary system: Application to the forsterite-enstatite-quartz system: American Journal of Science, v. 309, p. 114-131, http://dx.doi.org/10.2475/02.2009.02
5. Abart, R., Petrishcheva, E., and Joachim, B., 2011, Thermodynamic model for growth of reaction rims with lamellar microstructure: American Mineralogist, v. 96, http://dx.doi.org/10.2138/am.2011.3820
6. Ashworth, J. R., and Sheplev, V. S., 1997, Diffusion modelling of metamorphic layered coronas with stability criterion and consideration of affinity: Geochimica et Cosmochimica Acta, v. 61, n. 17, p. 3671-3689, http://dx.doi.org/10.1016/S0016-7037(97)00190-7
7. Baluffi, R. W., Allen, S. M., and Carter, W. C., 2005, Kinetics of materials: New Jersey, John Wiley & Sons Inc., 672 p.
8. Crank, J., 1975, The mathematics of diffusion, Second edition: Oxford, Oxford University Press, 424 p.
9. De Groot, S. R., and Mazur, S., 1984, Non Equilibrium Thermodynamics: New York, Dover, 544 p.
10. Fisher, G. W., 1973, Nonequilibrium thermodynamics as a model for diffusion controlled metamorphic processes: American Journal of Science, v. 273, p. 897-924, http://dx.doi.org/10.2475/ajs.273.10.897
11. Fisher, G. W., 1978, Rate laws in metamorphism: Geochimica et Cosmochimica Acta, v. 42, n. 7, p. 1035-1050, http://dx.doi.org/10.1016/0016- 7037(78)90292-2
12. Fissler, D. K., Mackwell, S. J., and Petsch, S., 1997, Grain boundary diffusion in enstatite: Physics and Chemistry of Minerals, v. 24, n. 4, p. 264-273, http://dx.doi.org/10.1007/s002690050038
13. Gardes, E., and Heinrich, W., 2010, Growth of multilayered polycrystalline reaction rims in the MgO-SiO2 system, Part II: modelling: Contributions to Mineralogy and Petrology, v. 162, n. 1, p. 37-49, http://dx.doi.org/10.1007/s00410-010-0581-4
14. Gardes, E., Wunder, B., Wirth, R., and Heinrich, W., 2011, Growth of multilayered polycrystalline reaction rims in the MgO-SiO2 system, Part I: experiments: Contributions to Mineralogy and Petrology, v. 161, n. 1, p. 1-12, http://dx.doi.org/10.1007/s00410-010-0517-z
15. Glicksman, M. E., 2000, Diffusion in Solids: New York, John Wiley and Sons, 472 p.
16. Gottstein, G., and Shvindlermann, L. S., 2009, Grain boundary migration in metals: thermodynamcis, kinetics, applications: Boca Raton, Florida, Taylor & Francis Inc. (CRC Press), 711 p.
17. Götze, L. C., Abart, R., Rybacki, E., Keller, L. M., Petrishcheva, E., and Dresen, G., 2010, Reaction rim growth in the System MgO - Al2O3 - SiO2 under uniaxial stress: Mineralogy and Petrology, v. 99, n. 3-4, p. 263-277, http://dx.doi.org/10.1007/s00710-009-0080-3
18. Joachim, B., Gardes, E., Abart, R., and Heinrich, W., 2011a, Experimental growth of kermanite reaction rims between wollastonite and monticellite: evidence for volume diffusion control: Contributions to Mineralogy and Petrology, v. 161, n. 3, p. 389-399, http://dx.doi.org/10.1007/s00410-010-0538-7
19. Joachim, B., Gardes, E., Velickov, B., Abart, R., and Heinrich, W., 2011b, Experimental growth of diopside - merwinite reaction rims: the effect of water on microstructure development: American Mineralogist, v. 96, http://dx.doi.org/10.2138/am.2011.3819
20. Joesten, R., 1977, Evolution of mineral assemblage zoning in diffusion metasomatism: Geochimica et Cosmochimica Acta, v. 41, n. 5, p. 649-670, http://dx.doi.org/10.1016/0016-7037(77)90303-9
21. Joesten, R., and Fisher, G. W., 1988, Kinetics of diffusion-controlled mineral growth in the Christmas Mountains (Texas) contact aureole: Geological Society of America Bulletin, v. 100, n. 5, p. 714-732, http://dx.doi.org/10. 1130/0016-7606(1988)100-0714:KODCMG-2.3.CO;2
22. Keller, L. M., Abart, R., Wirth, R., Schmid, D. W., and Kunze, K., 2006, Enhanced mass transfer through short-circuit diffusion: Growth of garnet reaction rims at eclogite facies conditions: American Mineralogist, v. 91, n. 7, p. 1024-1038, http://dx.doi.org/10.2138/am.2006.2068 (Pubitemid 44202990)
23. Keller, L. M., Wirth, R., Rhede, D., Kunze, K., and Abart, R., 2008, Asymmetrically zoned reaction rims: assessment of grain boundary diffusivities and growth rates related to natural diffusion-controlled mineral reactions: Journal of Metamorphic Geology, v. 26, n. 1, p. 99-120, http://dx.doi.org/10. 1111/j.1525-1314.2007.00747.x
24. Keller, L. M., Götze, L. C., Rybacki, E., Dresen, G., and Abart, R., 2010, Enhancement of solid-state reaction rates by non-hydrostatic stress effects on polycrystalline diffusion kinetics: American Mineralgoist, v. 95, n. 10, p. 1399-1407, http://dx.doi.org/10.2138/am.2010.3372
25. Milke, R., Dohmen, R., Becker, H.-W., and Wirth, R., 2007, Growth kinetics of enstatite reaction rims studied on nano-scale, Part I: Methodology, microscopic observations and the role of water: Contributions to Mineralogy and Petrology, v. 154, n. 5, p. 519-533, http://dx.doi.org/10.1007/s00410-007-0207-7 (Pubitemid 47456738)
26. Onsager, L., 1931, Reciprocal relations in irreversible processes. I.: Physical Review, v. 37, p. 405-426, http://dx.doi.org/10.1103/PhysRev.37.405
27. Porter, D. A., and Easterling, K. D., 1992, Phase transformations in metals and alloys: London, Chapman & Hall, 528 p.
28. Prenzel, J., Abart, R., and Keller, L., 2008, Complex chemical zoning in eclogite facies garnet reaction rims: the role of grain boundary diffusion: Mineralogy and Petrology, v. 95, p. 303-313, http://dx.doi.org/1007/s00710-008- 0029-y
29. Schmalzried, H., 1962, Reaktionsmechanismus der Spinellbildung im festen Zustand: Zeitschrift für physikalische Chemie Neue Folge, v. 33, p. 111-128.
30. Schmid, D. W., Abart, R., Podladchikov, Y. Y., and Milke, R., 2008, Matrix rheology effects on reaction rim growth II: coupled diffusion and creep model: Journal of Metamorphic Geology, v. 27, n. 1, p. 83-91 http://dx.doi.org/10.1111/j.1525-1314.2008.00805.x
31. Svoboda, J., Gamsjäger, E., Fischer, F., and Kozeschnik, E., 2006, Modeling of kinetics of diffuisve phase transformation in binary systems with multiple stoichiometric phases: Journal of Phase Equilibria and Diffusion, v. 27, n. 6, p. 622-628, http://dx.doi.org/10.1007/BF02736564 (Pubitemid 46003139)
32. Svoboda, J., Fischer, F. D., and Abart, R., 2010, Modeling of diffusional phase transformation in multicomponent systems with stoichiometric phases: Acta Materialia, v. 58, n. 8, p. 2905-2911, http://dx.doi.org/10.1016/j.actamat. 2010.01.019
33. Watson, E. B., and Price, J. D., 2002, 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: Geochimica et Cosmochimica Acta, v. 66, n. 12, p. 2123-2138, http://dx.doi.org/10.1016/S0016-7037(02)00827-X
34. Yund, R. A., 1997, Rates of grain boundary diffusion through enstatite and forsterite reaction rims: Contributions to Mineralogy and Petrology, v. 126, p. 224-236, http://dx.doi.org/10.1007/s004100050246