Contributions to Mineralogy and Petrology

, Volume 153, Issue 2, pp 159–175 | Cite as

Fast diffusion along mobile grain boundaries in calcite

  • Andrew McCaig
  • Stephen J. Covey-Crump
  • Walid Ben Ismaïl
  • Geoffrey E. Lloyd
Original Paper

Abstract

Experimental measurements of grain boundary diffusion are usually conducted on static boundaries, despite the fact that grain boundaries deep in the Earth are frequently mobile. In order to explore the possible effect of boundary mobility on grain boundary diffusion rates we have measured the uptake of 44Ca from a layer of 44Ca-enriched calcite powder during the static recrystallization of a single crystal of calcite at 900°C. A region about 500 μm wide adjacent to the powder layer is heterogeneously enriched in 44Ca, and complex zoning patterns, including sharp steps in composition and continuous increases and decreases in 44Ca content, are developed. In metamorphic rocks, these would normally be interpreted in terms of changes in pressure or temperature, Rayleigh fractionation, or episodic fluid infiltration. These explanations cannot apply to our experiments, and instead the zoning patterns are interpreted as being due to variations in grain boundary migration rate. We have applied an analytical model which allows the product of grain boundary diffusion coefficient and grain boundary width (D GB δ) to be calculated from the grain boundary migration rate and the compositional gradient away from the powder layer. The value of D GB δ in the mobile grain boundaries is at least five orders of magnitude greater than the published value for static boundaries under the same conditions. In order to allow the scale of chemical equilibrium (and hence textural evolution) to be predicted under both experimental and geological conditions, we present quantitative diffusion-regime maps for static and mobile boundaries in calcite, using both published values and our new values for grain boundary diffusion in mobile boundaries. Enhanced diffusion in mobile boundaries has wide implications for the high temperature rheology of Earth materials, for geochronology, and for interpretations of the length- and time-scales of chemical mass-transport. Moreover, zones of anomalously high electrical conductivity in the crust and mantle could be regions undergoing recrystallization such as active shear zones, rather than regions of anomalous mineralogy, water- or melt-content as is generally suggested.

Keywords

Calcite Boundary Diffusion Boundary Migration Migration Velocity Powder Layer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

John Craven and Simone Käsemann are thanked for their assistance with ion probe analysis and interpretation, and Eric Condliffe for assisting with SEM analysis. Reviews by William Carlson and Timothy Grove helped to improve the manuscript, and we are grateful to the latter for suggesting the analysis of diffusion regimes. Saskia ten Grotenhuis is thanked for her comments on an earlier version of the paper. This work was supported by Royal Society Research Grant 21456 and by NERC ion probe grant IMP/162/0500. Part of it was carried out while SCC held a Royal Society University Research Fellowship

References

  1. Balluffi RW, Allen SM, Carter CW (2005) Kinetics of materials. Wiley-Interscience, New York, 645 pGoogle Scholar
  2. Booker JR, Favetto A, Pomposiello MC (2004) Low electrical resistivity associated with plunging of the Nazca flat slab beneath Argentina. Nature 429:399–403CrossRefGoogle Scholar
  3. Cahn JW, Balluffi RW (1979) On diffusional mass transport in polycrystals containing stationary or migrating grain boundaries. Scr Metall 13:499–502CrossRefGoogle Scholar
  4. Carlson WD (2002) Scales of disequilibrium and rates of equilibration during metamorphism. Am Miner 87:185–204Google Scholar
  5. Chernoff CB, Carlson WD (1999) Disequilibrium for Ca during growth of pelitic garnet. J Met Geol 15:421–438CrossRefGoogle Scholar
  6. Chongmo L, Hillert M (1981) A metallographic study of diffusion induced grain boundary migration in the Fe–Zn system. Acta Metall 29:1949–1960CrossRefGoogle Scholar
  7. Covey-Crump SJ (1997a) The normal grain growth behaviour of nominally pure calcitic aggregates. Contrib Mineral Petrol 129:239–254CrossRefGoogle Scholar
  8. Covey-Crump SJ (1997b) The high temperature static recovery and recrystallization behaviour of cold-worked Carrara marble. J Struct Geol 19:225–241 (Erratum (1997): J Struct Geol 19: p. III)Google Scholar
  9. De Bresser JHP, Ter Heege JH, Spiers CJ (2001) Grain size reduction by dynamic recrystallization: can it result in major rheological weakening? Int J Earth Sci 90:28–45CrossRefGoogle Scholar
  10. De Bresser JHP, Evans B, Renner J (2002) On estimating the strength of calcite rocks under natural conditions. In: De Meer S, Drury MR, De Bresser JHP, Pennock GM (eds) Deformation mechanisms, rheology and tectonics: current status and future perspectives. Geol Soc Lond Spec Publ 200:309–329Google Scholar
  11. Eiler JM, Baumgartner LP, Valley JW (1992) Intercrystalline stable isotope diffusion: a fast grain boundary model. Contrib Mineral Petrol 12:543–557CrossRefGoogle Scholar
  12. Evans B, Hay RS, Shimuzu N (1986) Diffusion-induced grain boundary migration in calcite. Geology 14:60–63CrossRefGoogle Scholar
  13. Farver JR (1994) Oxygen self-diffusion in calcite: dependence on temperature and water fugacity. Earth Planet Sci Lett 121:575–587CrossRefGoogle Scholar
  14. Farver JR, Yund RA (1996) Volume and grain-boundary diffusion of calcium in natural and hot-pressed calcite aggregates. Contrib Mineral Petrol 123:77–91CrossRefGoogle Scholar
  15. Farver JR, Yund RA (1998) Oxygen grain boundary diffusion in natural and hot-pressed calcite aggregates. Earth Planet Sci Lett 161:189–200CrossRefGoogle Scholar
  16. Fisher JC (1951) Calculation of diffusion penetration curves for surface and grain boundary diffusion. J Appl Phys 22:74–77CrossRefGoogle Scholar
  17. Freeman SR, Inger S, Butler RWH, Cliff RA (1997) Dating deformation using Rb–Sr in white mica: greenschist facies deformation ages from the Entrelor shear zone, Italian Alps. Tectonics 16:57–76CrossRefGoogle Scholar
  18. ten Grotenhuis SM, Drury MR, Peach CJ, Spiers CJ (2004) Electrical properties of fine-grained olivine: evidence for grain boundary transport. J Geophys Res 109:B06203CrossRefGoogle Scholar
  19. Güthoff F, Mishin Y, Herzig C (1993) Self-diffusion along stationary and moving grain boundaries in α-Hf. Zeit Metall 84:584–591Google Scholar
  20. Harrison LG (1961) Influence of dislocations on diffusion kinetics in solids with particular reference to the alkali halides. Trans Faraday Soc 57:1191–1199CrossRefGoogle Scholar
  21. Hart EW (1976) Constitutive equations for the nonelastic deformation of metals. J Eng Mater Technol 98:193–202Google Scholar
  22. Hay RS, Evans B (1987) Chemically-induced grain boundary migration in calcite: temperature dependence, phenomenology, and possible applications to geologic systems. Contrib Mineral Petrol 97:127–141CrossRefGoogle Scholar
  23. Hay RS, Evans B (1992) The coherency strain driving force for CIGM in non-cubic crystals: comparison with in situ observations in calcite. Acta Metall Mater 40:2581–2593CrossRefGoogle Scholar
  24. Heinemann S, Wirth R, Dresen G (2003) Synthetic grain boundaries in rock-forming minerals. Eos Trans Am Geophys Union, Fall Meeting Suppl 84(46) (Abs. T41B-01)Google Scholar
  25. Hillert M, Purdy GR (1978) Chemically induced grain boundary migration. Acta Metall 26:333–340CrossRefGoogle Scholar
  26. Hirsch DM, Prior DJ, Carlson WD (2003) An overgrowth model to explain multiple, dispersed high-Mn regions in the cores of garnet porphyroblasts. Am Miner 88:131–141Google Scholar
  27. Jamtveit B, Wogelius RA, Fraser DG (1993) Zonation patterns of skarn garnets—records of hydrothermal system evolution. Geology 21:113–116CrossRefGoogle Scholar
  28. Jessell MW (2004) Grain growth microstructures as indicators of sample evolution, recrystallization and grain growth, pts 1 and 2. Mater Sci Forum 467–470:1051–1056Google Scholar
  29. Johnson SJ, Clausen HB, Dansgaard W, Gundestrup NS, Hammer CU, Andersen U, Andersen K, Hvideberg CS, Dahl-Jensen D, Steffensen JP, Shoji H, Sveinsbjörnsdóttir AE, White J, Jouzel J, Fisher D (1997) The delta O-18 record along the Greenland Ice Core Project deep ice core and the problem of possible Eemian climatic instability. J Geophys Res 102:26397–26410CrossRefGoogle Scholar
  30. Knipe RJ, McCaig AM (1994) Microstructural and microchemical consequences of fluid flow in deforming rocks. In: Parnell J (ed) Geofluids: origin, migration and evolution of fluids in sedimentary basins. Geol Soc Lond Spec Publ 78:99–111Google Scholar
  31. Kronenburg AK, Yund RA, Giletti BJ (1984) Carbon and oxygen diffusion in calcite: effects of Mn content and PH2O. Phys Chem Mineral 11:101–112CrossRefGoogle Scholar
  32. Langdon TG (1994) A unified approach to grain boundary sliding in creep and plasticity. Acta Metall Mater 42:2437–2443CrossRefGoogle Scholar
  33. Lewis S, Holness MB, Graham CM (1998) Ion microprobe study of marble from Naxos, Greece: grain-scale fluid pathways and stable isotope equilibration during metamorphism. Geology 26:935–938CrossRefGoogle Scholar
  34. Lloyd GE (1987) Atomic number and crystallographic contrast images with the SEM: a review of backscattered electron techniques. Min Mag 51:3–19CrossRefGoogle Scholar
  35. McCaig AM (1997) The geochemistry of volatile fluid flow in shear zones. In: Holness M (ed) Deformation enhanced melt segregation and metamorphic fluid transport. Chapman and Hall, London, pp 227–260Google Scholar
  36. McCaig AM, Knipe RJ (1990) Mass-transport mechanisms in deforming rocks: recognition using microstructural and microchemical criteria. Geology 18:824–827CrossRefGoogle Scholar
  37. McCaig AM, Wayne DM, Marshall JD, Banks DA, Henderson I, (1995). Isotopic and fluid inclusion studies of fluid movement along the Gavarnie Thrust, central Pyrenees: reaction fronts in carbonate mylonites. Am J Sci 295:309–343CrossRefGoogle Scholar
  38. Mishin YM, Razumovskii IM (1992) A model for diffusion along a moving grain boundary. Acta Metall Mater 40:839–845CrossRefGoogle Scholar
  39. Mishin YM, Herzig C, Bernadini J, Gust W (1997) Grain boundary diffusion: fundamentals to recent developments. Int Mater Rev 42:155–178Google Scholar
  40. Mukherjee AK (2002) An examination of the constitutive equation for elevated temperature plasticity. Mater Sci Eng A322:1–22Google Scholar
  41. Paterson MS (1990) Rock deformation experimentation. In: Duba AG, Durham WB, Handin JW, Wang HF (eds) The brittle–ductile transition in rocks (The Heard Volume). Geophys Monograph, Am Geophys Union 36:187–194Google Scholar
  42. Poirier JP (1985) Creep of crystals: high temperature deformation processes in metals, ceramics and minerals. Cambridge University Press, Cambridge, 260 pGoogle Scholar
  43. Prior DJ, Boyle AP, Brenker F, Cheadle MC, Day A, Lopez G, Peruzzo L, Potts GJ, Reddy S, Spiess R, Timms NE, Trimby P, Wheeler J, Zetterstrom L (1999) The application of electron backscatter diffraction and orientation contrast imaging in the SEM to textural problems in rocks. Am Miner 84:1741–1759Google Scholar
  44. Putnis A (2002) Mineral replacement reactions: from macroscopic observations to microscopic mechanisms. Mineral Mag 66:689–708CrossRefGoogle Scholar
  45. Rutter EH (1995) Experimental study of the influence of stress, temperature, and strain on the dynamic recrystallization of Carrara marble. J Geophys Res 100:24651–24663CrossRefGoogle Scholar
  46. Schumacher R, Rotzler K, Maresch WV (1999) Subtle oscillatory zoning in garnet from regional metamorphic phyllites and mica schists, western Erzgebirge, Germany. Can Mineral 37:381–402Google Scholar
  47. Sherlock SC, Okay AI (1999) Oscillatory zoned chrome lawsonite in the Tavsanli Zone, northwest Turkey. Mineral Mag 63:687–692Google Scholar
  48. Spear FS, Daniel CG (1998) 3-dimensional imaging of garnet porhyroblast sizes and chemical zoning. Nucleation and growth history in the garnet zone. Geol Mater Res 1:1–43Google Scholar
  49. Spear FS, Daniel CG (2001) Diffusion control of garnet growth, Harpswell Neck, Maine, USA. J Met Geol 19:179–195CrossRefGoogle Scholar
  50. Steefel CI, Lichtner PC (1998) Multicomponent reactive transport in discrete fractures: I. Controls on reaction front geometry. J Hydrol 209:186–199CrossRefGoogle Scholar
  51. Stünitz H (1998) Syndeformational recrystallization—dynamic or compositionally induced. Contrib Mineral Petrol 131:219–236CrossRefGoogle Scholar
  52. Surholt T, Herzig CHR (1997) Grain boundary self-diffusion in Cu polycrystals of different purity. Acta Mater 45:3817–3823CrossRefGoogle Scholar
  53. Sutton AP, Balluffi RW (1995) Interfaces in crystalline materials. Oxford Science Publications, New York, 819 pGoogle Scholar
  54. Ter Heege JH, De Bresser JHP, Spiers CJ (2002) The influence of dynamic recrystallization on the grain size distribution and rheological behaviour of Carrara marble deformed in axial compression. In: De Meer S, Drury MR, De Bresser JHP, Pennock, GM (eds) Deformation mechanisms, rheology and tectonics: current status and future perspectives. Geol Soc London Spec Publ 200:331–353Google Scholar
  55. Walker AN, Rutter EH, Brodie KH (1990) Experimental study of grain-size sensitive flow of synthetic, hot-pressed calcite rocks. In: Knipe RJ, Rutter EH (eds) Deformation mechanisms, rheology and tectonics. Geol Soc London Spec Publ 54:259–284Google Scholar
  56. Wannamaker PE, Jiracek GR, Stodt JA, Caldwell TG, Gonzalez VM, McKnight JD, Porter AD (2002) Fluid generation and pathways beneath an active compressional orogen, the New Zealand Southern Alps, inferred from magnetotelluric data. J Geophys Res 107: art. 2117Google Scholar
  57. Yang P, Rivers T (2001) Chromium and manganese zoning in pelitic garnet and kyanite: spiral, overprint, and oscillatory zoning patterns and the role of growth rate. J Met Geol 19:455–476CrossRefGoogle Scholar
  58. Yardley BWD, Valley JW (1997) The petrologic case for a dry lower crust. J Geophys Res 102:12173–12185CrossRefGoogle Scholar
  59. Yardley BWD, Rochelle CA, Barnicoat AC, Lloyd GE (1991) Oscillatory zoning in metamorphic minerals—an indicator of infiltration metasomatism. Mineral Mag 55:357–365CrossRefGoogle Scholar
  60. Yund RA, Tullis J (1991) Compositional changes of minerals associated with dynamic recrystallization. Contrib Mineral Petrol 108:346–355CrossRefGoogle Scholar
  61. Zieba P (2003) Diffusion along migrating grain boundaries. Interface Sci 11:51–58CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • Andrew McCaig
    • 1
  • Stephen J. Covey-Crump
    • 2
  • Walid Ben Ismaïl
    • 2
  • Geoffrey E. Lloyd
    • 1
  1. 1.Institute of Geophysics and Tectonics, School of Earth and EnvironmentUniversity of LeedsLeedsUK
  2. 2.School of Earth, Atmospheric, and Environmental SciencesUniversity of ManchesterManchesterUK

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