Skip to main content
Log in

Si and O self-diffusion in hydrous forsterite and iron-bearing olivine from the perspective of defect chemistry

  • Original Paper
  • Published:
Physics and Chemistry of Minerals Aims and scope Submit manuscript

Abstract

We discuss the experimental results of silicon and oxygen self-diffusion coefficients in forsterite and iron-bearing olivine from the perspective of defect chemistry. Silicon diffusion is dominated by VO ··-associated VSi″″, whereas oxygen diffusion is dominated by hopping of VO ·· under anhydrous conditions, and by (OH)O · under hydrous conditions. By considering the charge neutrality condition of [(OH)O ·] = 2[VMe″] in hydrous forsterite and iron-bearing olivine, we get D Si ∝ (\(C_{{{\text{H}}_{2} {\text{O}}}}\))1/3 and D O ∝ (\(C_{{{\text{H}}_{2} {\text{O}}}}\))0, which explains the experimental results of water effects on oxygen and silicon self-diffusion rates (Fei et al. in Nature 498:213–215, 2013; J Geophys Res 119:7598–7606, 2014). The \(C_{{{\text{H}}_{2} {\text{O}}}}\) dependence of creep rate in the Earth’s mantle should be close to that given by Si and O self-diffusion coefficients obtained under water unsaturated conditions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  • Bai Q, Kohlstedt DL (1992) Substantial hydrogen solubility in olivine and implications for water storage in the mantle. Nature 357:672–674

    Article  Google Scholar 

  • Bai Q, Kohlstedt DL (1993) Effects of chemical environment on the solubility and incorporation mechanism for hydrogen in olivine. Phys Chem Mineral 19:460–471

    Article  Google Scholar 

  • Balan E, Blanchard M, Lazzeri M, Ingrin J (2014) Contribution of interstitial OH groups to the incorporation of water in forsterite. Phys Chem Mineral 41:105–114

    Article  Google Scholar 

  • Bali E, Bolfan-Casanova N, Koga KT (2008) Pressure and temperature dependence of H solubility in forsterite: an implication to water activity in the Earth interior. Earth Planet Sci Lett 268:354–363

    Article  Google Scholar 

  • Bercovici D, Karato SI (2003) Whole-mantle convection and the transition-zone water filter. Nature 425:39–44

    Article  Google Scholar 

  • Brodholt JP, Refson K (2000) An ab initio study of hydrogen in forsterite and a possible mechanism for hydrolytic weakening. J Geophys Res 105:18977–18982

    Article  Google Scholar 

  • Costa F, Chakraborty S (2008) The effect of water on Si and O diffusion rates in olivine and implications for transport properties and processes in the upper mantle. Phys Earth Planet Int 166:11–29

    Article  Google Scholar 

  • Demouchy S, Mackwell S (2003) Water diffusion in synthetic iron-free forsterite. Phys Chem Mineral 30:486–494

    Article  Google Scholar 

  • Dixon JE, Leist L, Langmuir C, Schilling J (2002) Recycled dehydrated lithosphere observed in plume-influenced mid-ocean-ridge basalt. Nature 420:385–389

    Article  Google Scholar 

  • Dohmen R, Chakraborty S, Becker HW (2002) Si and O diffusion in olivine and implications for characterizing plastic flow in the mantle. Geophys Res Lett 29. doi:10.1029/2002GL015480

    Google Scholar 

  • Dyar MD, McGuire AV, Ziegler RD (1989) Redox equilibria and crystal chemistry of coexisting minerals from spinel lherzolite mantle xenoliths. Am Mineral 74:969–980

    Google Scholar 

  • Fei H (2013) Silicon and oxygen self-diffusion in forsterite and implications to upper-mantle rheology. PhD dissertation. University of Bayreuth, Germany, pp 186–189

  • Fei H, Wiedenbeck M, Yamazaki D, Katsura T (2013) Small effect of water on the upper mantle rheology based on Si self-diffusion coefficient. Nature 498:213–215

    Article  Google Scholar 

  • Fei H, Wiedenbeck M, Yamazaki D, Katsura T (2014) No effect of water on oxygen self-diffusion rate in forsterite. J Geophys Res 119:7598–7606

    Article  Google Scholar 

  • Férot A, Bolfan-Casanova N (2012) Water storage capacity in olivine and pyroxene to 14 GPa: implications for the water content of the Earth’s upper mantle and nature of seismic discontinuities. Earth Planet Sci Lett 349:218–230

    Article  Google Scholar 

  • Gaetani GA, O’Leary JA, Koga KT, Hauri EH, Rose-Koga EF, Monteleone BD (2014) Hydration of mantle olivine under variable water and oxygen fugacity conditions. Contrib Mineral Petrol 167:1–14

    Article  Google Scholar 

  • Gérard O, Jaoul O (1989) Oxygen diffusion in San Carlos olivine. J Geophys Res 94:4119–4128

    Article  Google Scholar 

  • Grant KJ, Kohn SC, Brooker RA (2006) Solubility and partitioning of water in synthetic forsterite and enstatite in the system MgO–SiO2–H2O ± Al2O3. Contrib Mineral Petrol 151:651–664

    Article  Google Scholar 

  • Hirschmann MM (2006) Water, melting, and the deep Earth H2O cycle. Annu Rev Earth Planet Sci 34:629–653

    Article  Google Scholar 

  • Hirth G, Kohlstedt D (2003) Rheology of the upper mantle and the mantle wedge: a view from the experimentalists. Geophys Monogr 138:83–106

    Google Scholar 

  • Houlier B, Cheraghmakani M, Jaoul O (1990) Silicon diffusion in San-Carlos olivine. Phys Earth Planet Int 62:329–340

    Article  Google Scholar 

  • Iwamori H, Nakakuki T (2013) Fluid processes in subduction zones and water transport to the deep mantle. In: Karato SI (ed) Physics and chemistry of the deep earth. Wiley, Hoboken, pp 372–391

    Chapter  Google Scholar 

  • Karato SI (2008) Deformation of earth materials: an introduction to the rheology of solid earth. Cambridge University Press, Cambridge, pp 34–47, 168–198

  • Karato SI, Jung H (2003) Effects of pressure on high-temperature dislocation creep in olivine. Philos Mag 83:401–414

    Article  Google Scholar 

  • Karato SI, Paterson MS, Fitzgerald JD (1986) Rheology of synthetic olivine aggregates: influence of grain size and water. J Geophys Res 91:8151–8176

    Article  Google Scholar 

  • Kohlstedt DL (2006) The role of water in high-temperature rock deformation. Rev Mineral Geochem 62:377–396

    Article  Google Scholar 

  • Kohlstedt DL, Mackwell SJ (1998) Diffusion of hydrogen and intrinsic point defects in olivine. Z Phys Chem 207:147–162

    Article  Google Scholar 

  • Kohlstedt DL, Keppler H, Rubie DC (1996) Solubility of water in the alpha, beta and gamma phases of (Mg, Fe)2SiO4. Contrib Mineral Petrol 123:345–357

    Article  Google Scholar 

  • Kröger FA, Vink HJ (1956) Relations between the concentrations of imperfections in crystalline solids. Solid State Phys 3:307–435

    Google Scholar 

  • Lemaire C, Kohn SC, Brooker RA (2004) The effect of silica activity on the incorporation mechanisms of water in synthetic forsterite: a polarised infrared spectroscopic study. Contrib Mineral Petrol 147:48–57

    Article  Google Scholar 

  • Mei S, Kohlstedt DL (2000a) Influence of water on plastic deformation of olivine aggregates 1. Diffusion creep regime. J Geophys Res 105:21457–21469

    Article  Google Scholar 

  • Mei S, Kohlstedt DL (2000b) Influence of water on plastic deformation of olivine aggregates 2. Dislocation creep regime. J Geophys Res 105:21471–21481

    Article  Google Scholar 

  • Mosenfelder JL, Deligne NI, Asimow PD, Rossman GR (2006) Hydrogen incorporation in olivine from 2–12 GPa. Am Mineral 91:285–294

    Article  Google Scholar 

  • Nakamura H, Iwamori H (2009) Contribution of slab-fluid in arc magmas beneath the Japan arcs. Gondwana Res 16:431–445

    Article  Google Scholar 

  • Nakamura A, Schmalzried H (1983) On the nonstoichiometry and point defects of olivine. Phys Chem Mineral 10:27–37

    Article  Google Scholar 

  • Nakamura A, Schmalzried H (1984) On the Fe2+–Mg2+-interdiffusion in olivine (II). Ber Bunsenges Phys Chem 88:140–145

    Article  Google Scholar 

  • O’Neill HSC, Rubie DC, Canil D, Geiger CA, Ross CR II, Seifert F, Woodland AB (1993) Ferric iron in the upper mantle and in transition zone assemblages: implications for relative oxygen fugacities in the mantle. Geophys Monogr 74:73–88

    Google Scholar 

  • Otsuka K, Karato SI (2011) Control of the water fugacity at high pressures and temperatures: applications to the incorporation mechanisms of water in olivine. Phys Earth Planet Int 189:27–33

    Article  Google Scholar 

  • Ringwood AE (1991) Phase-transformations and their bearing on the constitution and dynamics of the mantle. Geochim Cosmochim Acta 55:2083–2110

    Article  Google Scholar 

  • Ryerson FJ, Durham WB, Cherniak DJ, Lanford WA (1989) Oxygen diffusion in olivine: effect of oxygen fugacity and implications for creep. J Geophys Res 94:4105–4118

    Article  Google Scholar 

  • Smyth DM, Stocker RL (1975) Point defects and non-stoichiometry in forsterite. Phys Earth Planet Int 10:183–192

    Article  Google Scholar 

  • Smyth JR, Frost DJ, Nestola F, Holl CM, Bromiley G (2006) Olivine hydration in the deep upper mantle: effects of temperature and silica activity. Geophys Res Lett 33:L15301(1–5)

  • Stocker RL, Smyth DM (1978) Effect of enstatite activity and oxygen partial pressure on the point-defect chemistry of olivine. Phys Earth Planet Int 16:145–156

    Article  Google Scholar 

  • Walker AM, Wright K, Slater B (2003) A computational study of oxygen diffusion in olivine. Phys Chem Mineral 30:536–545

    Article  Google Scholar 

  • Wang ZY, Hiraga T, Kohlstedt DL (2004) Effect of H+ on Fe–Mg interdiffusion in olivine, (Fe, Mg)2SiO4. Appl Phys Lett 85:209–211

    Article  Google Scholar 

  • Wang DJ, Mookherjee M, Xu YS, Karato SI (2006) The effect of water on the electrical conductivity of olivine. Nature 443:977–980

    Article  Google Scholar 

  • Wang DJ, Li HP, Yi L, Shi BP (2008) The electrical conductivity of upper-mantle rocks: water content in the upper mantle. Phys Chem Mineral 35:157–162

    Article  Google Scholar 

  • Workman RK, Hart SR (2005) Major and trace element composition of the depleted MORB mantle (DMM). Earth Planet Sci Lett 231:53–72

    Article  Google Scholar 

  • Zhang Y (2010) Diffusion in minerals and melts: theoretical background. Rev Mineral Geochem 72:5–59

    Article  Google Scholar 

  • Zhao Y, Ginsberg SB, Kohlstedt DL (2004) Solubility of hydrogen in olivine: dependence on temperature and iron content. Contrib Mineral Petrol 147:155–161

    Article  Google Scholar 

Download references

Acknowledgments

This work is supported by the Research Grant by the German Research Foundation (DFG) to T. Katsura (KA 3434/3-1) and by the postdoctoral fellowship for oversea researchers from Japan Society for the Promotion of Science (JSPS) to H. Fei (25003327).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hongzhan Fei.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fei, H., Katsura, T. Si and O self-diffusion in hydrous forsterite and iron-bearing olivine from the perspective of defect chemistry. Phys Chem Minerals 43, 119–126 (2016). https://doi.org/10.1007/s00269-015-0779-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00269-015-0779-0

Keywords

Navigation