Diffusion in minerals at high pressure: A review

Physics of the Earth and Planetary Interiors

Volumn 139, Issue 1-2, 2003, Pages 3-20

  Béjina, Frédéric ^a   Jaoul, Olivier ^a   Liebermann, Robert C ^a  

^a CNRS   (France)

Author keywords

Activation volume; Atomic diffusion; High pressure; Point defects

Indexed keywords

DIFFUSION; EXPERIMENTAL MINERALOGY; GARNET; HIGH PRESSURE; SILICATE MINERAL;

EID: 0242318372     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0031-9201(03)00140-7     Document Type: Article

References (98)

1. Adda, Y., Philibert, J., 1966. La Diffusion dans les Solides. Bibliothèque des sciences et techniques nucléaires, INSTN-PUF, Paris.
2. 4 (forsterite) at high temperature: a model case study for SIMS analyses on ceramic surfaces Fresen. Z. Anal. Chem. 333 1989 383-385
3. Ando, K., 1989. Self-diffusion in oxides. In: Karato, S., Toriumi, M. (Eds.), Rheology of Solids and of the Earth. Oxford University Press, Oxford, pp. 57-82.
4. Ando K.Kurokawa Y.Oishi Y.Oxygen self-diffusion in Fe-doped MgO single crystals J. Chem. Phys. 78 1983 6890-6892
5. Béjina F.Jaoul O.Silicon self-diffusion in quartz and diopside measured by nuclear micro-analysis methods Phys. Earth Planet. Inter. 97 1996 145-162
6. Béjina F.Jaoul O.Silicon diffusion in silicate minerals Earth Planet. Sci. Lett. 153 1997 229-238
7. Béjina F.Raterron P.Zhang J.Jaoul O.Liebermann R.C.Activation volume of silicon diffusion in San Carlos olivine Geophys. Res. Lett. 2421 1997 2597-2600
8. Béjina F.Jaoul O.Liebermann R.C.Activation volume of Si diffusion in San Carlos olivine: implications for upper mantle rheology J. Geophys. Res. B 10411 1999 25529-25542
9. Bertka C.M.Fei Y.Mineralogy of the Martian interior up to core-mantle boundary pressures J. Geophys. Res. B 1023 1997 5251-5264
10. Bertran-Alvarez, Y., 1993. Interdiffusion Fe-Mg dans l'olivine naturelle sous haute pression. Ph.D. Thesis. Orsay, France.
11. Bertran-Alvarez Y.Jaoul O.Liebermann R.C.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 Planet. Inter. 70 1992 102-118
12. Brown A.M.Ashby M.F.Correlations for diffusion constants Acta Metall. 28 1980 1085-1101
13. Buening D.K.Buseck P.R.Fe-Mg lattice diffusion in olivine J. Geophys. Res. 7829 1973 6852-6862
14. Bussod G.Y.Katsura T.Rubie D.C.The large volume multi-anvil press as a high P-T deformation apparatus PAGEOPH 1412-4 1993 579-599
15. Chakraborty S.Ganguly J.Cation diffusion in aluminosilicate garnets: experimental determination in spessartine-almandine diffusion couples, evaluation of effective binary diffusion coefficients, and applications Contrib. Mineral. Petrol. 111 1992 74-86
16. Chakraborty S.Rubie D.C.Mg tracer diffusion in aluminosilicate garnets at 750-850 °C, 1 atm. and 1300 °C, 8.5 GPa Contrib. Mineral. Petrol. 122 1996 406-414
17. 2 Phys. Chem. Miner. 21 1994 489-500
18. Chakraborty S.Knoche R.Schulze H.Rubie D.C.Dobson D.Ross N.L.Angel R.J.Enhancement of cation diffusion rates across the 410-kilometer discontinuity in earth's mantle Science 283 1999 362-365
19. Chen J.Weidner D.J.Parise J.B.Vaughan M.T.Raterron P.Observation of cation reordering during the olivine-spinel transition in fayalite by in situ synchrotron X-ray diffraction at high pressure and temperature Phys. Rev. Lett. 8618 2001 4072-4075
20. Christoffersen R.Yund R.A.Tullis J.Inter-diffusion of K and Na in alkali feldspars: diffusion couple experiments Am. Mineral. 68 1983 1126-1133
21. Constable S.Duba A.Diffusion and mobility of electrical conducting defects in olivine Phys. Chem. Miner. 29 2002 446-454
22. Dobson D.P.Brodholt J.P.The pressure medium as a solid-state oxygen buffer Geophys. Res. Lett. 262 1999 259-262
23. Dobson D.P.Brodholt J.P.The electrical conductivity of the lower mantle phase magnesiowüstite at high temperatures and pressures J. Geophys. Res. B 1051 2000 531-538
24. Elphick S.C.Ganguly J.Loomis T.P.Experimental determination of cation diffusivities in aluminosilicate garnets. I. Experimental methods and interdiffusion data Contrib. Mineral. Petrol. 90 1985 36-44
25. 4 polymorphs and chemical heterogeneity in the mantle transition zone Nature 371 1994 693-695
26. 4 spinel (ringwoodite), β phase (wadsleyite), and olivine: implications for the electrical conductivity of the mantle J. Geophys. Res. 1051 2000 513-529
27. Farver J.R.Yund R.A.The effect of hydrogen, oxygen, and water fugacity on oxygen diffusion in alkali feldspar Geochim. Cosmochim. Acta 54 1990 2953-2964
28. Farver J.Yund R.Silicon diffusion in a natural quartz aggregate: constraints on solution-transfer diffusion creep Tectonophysics 325 2000a 193-205
29. Farver J.R.Yund R.A.Silicon diffusion in forsterite aggregates: implications for diffusion accommodated creep Geophys. Res. Lett. 2715 2000b 2337-2340
30. Farver J.R.Yund R.A.Rubie D.C.Magnesium grain boundary diffusion in forsterite aggregates at 1000-1300 °C and 0.1 MPa to 10 GPa J. Geophys. Res. B 9910 1994 19809-19819
31. Flynn, C.P., 1972. Point Defects and Diffusion. Clarendon Press, Oxford.
32. Freer R.Edwards A.An experimental study of Ca-(Fe, Mg) interdiffusion in silicate garnets Contrib. Mineral. Petrol. 1344 1999 370-379
33. Getting I.C.Kennedy G.C.Effect of pressure on the emf of chromel-alumel and platinum-platinum 10% rhodium thermocouples J. Appl. Phys. 4111 1970 4552-4562
34. Gibbs G.V.Hill F.C.Boisen M.B.Downs R.T.Power law relationships between bond length, bond strength and electron density distribution Phys. Chem. Miner. 25 1998 585-590
35. Green H.W.Borch R.S.The pressure dependence of creep Acta Metall. 356 1987 1301-1305
36. Gwanmesia, G.D., Liebermann, R.C., 1992. Polycrystals of high-pressure phases of mantle minerals: hot-pressing and characterization of physical properties. In: Syono, Y., Manghnani, M.H. (Eds.), High-pressure Research: Application to Earth and Planetary Sciences. Terra Scientific Publishing Company (TERRAPUB)/American Geophysical Union, Tokyo/Washington, DC, pp. 117-135.
37. 4 for acoustic velocity measurements Geophys. Res. Lett. 179 1990 1331-1334
38. Gwanmesia G.D.Li B.Liebermann R.C.Hot pressing of polycrystals of high-pressure phases of mantle minerals in multi-anvil apparatus PAGEOPH 1412-4 1993 467-484
39. Harris D.J.Watson G.W.Parker S.C.Atomistic simulation studies on the effect of pressure on diffusion at the MgO 410/[0 0 1] tilt grain Phys. Rev. B 64 2001 134101-134108
40. Hirsch L.M.Shankland T.J.Equilibrium point defect concentrations in MgO: understanding the mechanisms of conduction and diffusion and the role of Fe impurities J. Geophys. Res. B 961 1991 385-403
41. Holzapfel, C., Rubie, D.C., Mackwell, S., Frost, D.J., 2003. Effect of pressure on Fe-Mg interdiffusion in (FexMg1-x)O, ferropericlase. Phys. Earth Planet. Inter., this issue.
42. Houlier B.Cheraghmakani M.Jaoul O.Silicon diffusion in San Carlos olivine Phys. Earth Planet. Inter. 62 1990 329-340
43. Ingrin J.Liebermann R.C.Deviatoric stress in a girdle-anvil type high-pressure apparatus: effect on the quartz-coesite phase transformation Phys. Earth Planet. Inter. 54 1989 378-385
44. Ita J.Cohen R.E.Effects of pressure on diffusion and vacancy formation in MgO from nonempirical free-energy integrations Phys. Rev. Lett. 7917 1997 3198-3201
45. Ita J.Cohen R.E.Diffusion in MgO at high pressure: implications for lower mantle rheology Geophys. Res. Lett. 257 1998 1095-1098
46. Jaoul O.Multicomponent diffusion and creep in olivine J. Geophys. Res. 95 1990 17631-17642
47. 2 precipitation J. Geophys. Res. B 995 1994 9423-9439
48. Jaoul, O., Poumellec, M., Froidevaux, C., Havette, A., 1981. Silicon diffusion in forsterite: a new constraint for understanding mantle deformation. In: Stacey, F.D., Paterson, M.S., Nicholas, A. (Eds.), An elasticity in the Earth, Geodynamics Series, vol. 4. AGU-GSA, Boulder, CO, pp. 95-100.
49. Jaoul, O., Sautter, V., Abel, F., 1991. Nuclear microanalysis: a powerful tool for measuring low atomic diffusivity with mineralogical applications. In: Ganguly, J. (Ed.), Diffusion, Atomic Ordering, and Mass Transport. Selected Topics in Geochemistry. Advances in Physical Geochemistry, vol. 8. Springer, Heidelberg, Chapter 6, pp. 198-220.
50. Jaoul, O., Béjina, F., Élie, F., Abel, F., 1995a. Silicon self-diffusion in quartz. Phys. Rev. Lett. 74 (11), 2038-2041.
51. Jaoul O.Bertran-Alvarez Y.Liebermann R.C.Price G.D.Fe-Mg interdiffusion in olivine up to 9 GPa at T=600-900 °C; experimental data and comparison with defect calculations Phys. Earth Planet. Inter. 89 1995b 199-218
52. Karato S.Pressure dependence of diffusion in ionic solids Phys. Earth Planet. Inter. 25 1981a 38-51
53. Karato S.Rheology of the lower mantle Phys. Earth Planet. Inter. 24 1981b 1-14
54. Karato S.Ogawa M.High-pressure recovery of olivine: implications for creep mechanisms and creep volume Phys. Earth Planet. Inter. 28 1982 102-117
55. Karato S.Rubie D.C.Toward an experimental study of deep mantle rheology: a new multianvil sample assembly for deformation studies under high pressures and temperatures J. Geophys. Res. B 1029 1997 20111-20122
56. Karato, S., Jung, H., 2003. Effects of pressure on high-temperature dislocation creep in olivine. Philos. Mag. 83, 401-414.
57. Kawai N.Endo S.The generation of ultrahigh hydrostatic pressures by a split-sphere apparatus Rev. Sci. Instrum. 41 1970 1178-1181
58. Kedves, F.J., Erdélyi, G., 1989. Diffusion under high pressure. In: Limoge, Y., Bocquet, J.-L. (Eds.), Defect and Diffusion Forum, vols. 66-69. Scitec Publications, Switzerland, pp. 175-188.
59. Keyes R.W.Volumes of activation for diffusion in solids J. Chem. Phys. 293 1958 467-475
60. Keyes R.W.Volumes of activation. II. Pressure dependence of activation parameters J. Chem. Phys. 324 1960 1066-1067
61. Keyes, R.W., 1963. Continuum models of the effect of pressure on activated processes. In: Paul, W., Warschauer, D.M. (Eds.), Solids Under Pressure. McGraw-Hill, New York, Chapter 4, pp. 71-99.
62. Kronenberg A.K.Kirby S.H.Aines R.D.Rossman G.R.Solubility and diffusional uptake of hydrogen in quartz at high water pressures: implications for hydrolytic weakening J. Geophys. Res. B 9112 1986 12723-12744
63. Li, J., Hadiddiacos, C., Kwang Mao, H., Fei, Y., Hemley, R.J., 2003a. Behavior of thermocouples under high pressure in a multi-anvil apparatus. High Pressure Res., in press.
64. Li, L., Raterron, P., Weidner, D., Chen, J., 2003b. Olivine flow mechanisms at 8 GPa. Phys. Earth Planet. Inter. 138, 113-129.
65. Liebermann, R.C., Wang, Y., 1992. Characterization of sample environment in a uniaxial split-sphere apparatus. In: Syono, Y., Manghnani, M.H. (Eds.), High-pressure Research: Application to Earth and Planetary Sciences. Terra Scientific Publishing Company (TERRAPUB)/American Geophysical Union, Tokyo/Washington, DC, pp. 19-31.
66. Loomis T.P.Ganguly J.Elphick S.C.Experimental determination of cation diffusivities in aluminosilicate garnets. II. Multicomponent simulation and tracer diffusion coefficients Contrib. Mineral. Petrol. 90 1985 45-51
67. Misener, D.J., 1974. Cationic diffusion in olivine to 1400°C and 35 kbar. In: Hofmann, A.W., Giletti, B.J., Yoder Jr., H.S., Yund, R.A. (Eds.), Geochemical Transport and Kinetics. Carnegie Institution of Washington, pp. 117-129.
68. Moore D.K.Cherniak D.J.Watson E.B.Oxygen diffusion in rutile from 750 to 1000°C and 0.1 to 1000 MPa Am. Mineral. 837-8 1998 700-711
69. Ohtani, E., Kuzamawa, M., Kato, T., Irifune, T., 1982. Melting of various silicates at elevated temperatures. In: Akimoto, S., Manghnani, M.H. (Eds.), High Pressure Research in Geophysics. Center for Academic Publishing, Tokyo, pp. 259-270.
70. Poirier, J.-P., 2000. Introduction to the Physics of the Earth's Interior, 2nd ed. Cambridge University Press, Cambridge.
71. Pownceby M.I.O'Neill H.S.C.Thermodynamic data from redox reactions at high temperatures. III. Activity-composition relations in Ni-Pd alloys from EMF measurements at 850-1250 K, and calibration of the Ni+Ni-Pd assemblage as a redox sensor Contrib. Mineral. Petrol. 116 1994 327-339
72. Pownceby M.I.O'Neill H.S.C.Thermodynamic data from redox reactions at high temperatures. V. Thermodynamic properties of NiO-MnO solid solutions from EMF measurements Contrib. Mineral. Petrol. 119 1995 409-421
73. Raterron P.Béjina F.Doukhan J.-C.Jaoul O.Liebermann R.C.Olivine/Fe-metal equilibrium under high pressure: an ATEM investigation Phys. Chem. Miner. 25 1998 485-493
74. Rubie D.C.Karato S.Yan H.O'Neill H.S.C.Low differential stress and controlled chemical environment in multianvil high-pressure experiments Phys. Chem. Miner. 20 1993 315-322
75. Sammis C.G.Smith J.C.Schubert G.Yuen D.A.Viscosity-depth profile of the earth's mantle: effects of polymorphic phase transitions J. Geophys. Res. 82 1977 3747-3761
76. Sammis C.G.Smith J.C.Schubert G.A critical assessment of estimation methods for activation volume J. Geophys. Res. 86 1981 10707-10718
77. Schmalzried, H., 1981. Solid State Reactions. Monographs in Modern Chemistry, No. 12. Verlag Chemie, Weinheim.
78. Sempolinski D.R.Kingery W.D.Ionic conductivity and magnesium vacancy mobility in magnesium oxide J. Am. Ceram. Soc. 63 1980 664-669
79. Sneeringer M.Hart S.R.Shimizu N.Strontium and samarium diffusion in diopside Geochim. Cosmochim. Acta 48 1984 1589-1608
80. Toomey D.R.Wilcock W.S.D.Conder J.A.Forsyth D.W.Blundy J.D.Parmentier E.M.Hammond W.C.Asymmetric mantle dynamics in the MELT region of the East Pacific Rise Earth Planet. Sci. Lett. 200 2002 287-295
81. van Liempt J.Die Berechnung der Auflockerunswärme der Metalle aus Rekristallisationsdaten Z. Phys. 96 1935 534-541
82. Van Orman J.A.Grove T.L.Shimizu N.Rare earth element diffusion in diopside: influence of temperature, pressure, and ionic radius, and an elastic model for diffusion in silicates Contrib. Mineral. Petrol. 141 2001 687-703
83. Van Orman J.A.Grove T.L.Shimizu N.Layne G.D.Rare earth element diffusion in a natural pyrope single crystal at 2.8 GPa Contrib. Mineral. Petrol. 142 2002 416-424
84. Van Orman, J.A., Fei, Y., Hauri, E.H., Wang, J., 2003. Diffusion in MgO at high pressures: constraints on deformation mechanisms and chemical transport at the core-mantle boundary. Geophys. Res. Lett. 30 (2), 1056 (doi: 10.1029/2002GL016343).
85. Vočadlo L.Wall A.Parker S.C.Price G.D.Absolute ionic diffusion in MgO-computer calculations via lattice dynamics Phys. Earth Planet. Inter. 88 1995 193-210
86. Wagner C.The evaluation of data obtained with diffusion couples of binary single-phase and multiphase systems Acta Metall. 17 1969 99-107
87. Wang Y.Liebermann R.C.Boland J.N.Olivine as an in situ piezometer in high pressure apparatus Phys. Chem. Miner. 15 1988 493-497
88. Watson E.B.Diffusion and solubility of C in Pt Am. Mineral. 72 1987 487-490
89. Weertman J.The creep strength of the earth's mantle Rev. Geophys. Space Phys. 8 1970 145-168
90. Weidner, D.J., Vaughan, M.T., Ko, J., Wang, Y., Liu, X., Yeganeh-Haeri, A., Pacalo, R.E., Zhao, Y., 1992. Characterization of stress, pressure, and temperature in SAM85, a DIA type high pressure apparatus. In: Syono, Y., Manghnani, M.H. (Eds.), High-pressure Research: Application to Earth and Planetary Sciences. Terra Scientific Publishing Company (TERRAPUB)/American Geophysical Union, Tokyo/Washington, DC, pp. 13-17.
91. Wright K.Price G.D.Computer simulation of defects and diffusion in perovskites J. Geophys. Res. B 9812 1993 22245-22253
92. Xu Y.Poe B.T.Shankland T.J.Rubie D.C.Electrical conductivity of olivine, wadsleyite, and ringwoodite under upper-mantle conditions Science 280 1998 1415-1418
93. Yagi T.KAWAI-type apparatus Rev. High Pressure Sci. Technol. 11 2001 171
94. Yamazaki, D., Irifune, T., 2003. Fe-Mg interdiffusion in magnesiowüstite up to 35 GPa and its implication for the origin of rising plumes at the core-mantle boundary. Earth Planet. Sci. Lett., submitted for publication.
95. 3 perovskite at 25 GPa Phys. Earth Planet. Inter. 119 2000 299-309
96. Yang M.H.Flynn C.P.Intrinsic diffusion properties of an oxide: MgO Phys. Rev. Lett. 7313 1994 1809-1812
97. Zener C.Theory of lattice expansion introduced by cold-work Trans. AIME 147 1942 361-368
98. Zener, C., 1952. Theory of diffusion. In: Shockley, W., Hollomon, J.H., Maurer, R., Seitz, F. (Eds.), Imperfections in Nearly Perfect Crystals. Wiley, New York, Chapter 11, pp. 289-314.