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Differences in chemical thickness of grain and phase boundaries: an atom probe tomography study of experimentally deformed wehrlite

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Abstract

The chemical widths of grain and phase boundaries in deformed wehrlite (olivine–clinopyroxene; Ol–Cpx) aggregates are characterized by atom probe tomography (APT), a (laser-assisted) field evaporation technique employing time-of-flight mass spectrometry. The wehrlite was deformed to high finite strain in diffusion creep: The effective viscosity measured for the wehrlite is approximately an order of magnitude lower than that of either end-member aggregate; further, phase ordering, in which the spatial density of Ol–Cpx phase boundaries increases with accumulated strain, characterizes the deformation (Zhao et al. in Earth Planet Sci Lett 517:83–94, 2019). The mechanical results imply that the transport properties of the phase boundaries—dictated by their structure and composition—differ from those of grain boundaries. Our APT data show that, indeed, the chemical widths of crystalline Ol–Cpx phase boundaries—3.1–6.6 nm, depending on the element used for their characterization—are up to a factor of two greater than the chemical widths of crystalline Ol–Ol and Cpx–Cpx grain boundaries. Careful statistical analyses of the APT data reveal that the near-boundary compositional profiles of the presented Ol–Cpx phase boundary are consistent with—indeed, evidence for—the rheological model in which diffusion creep is rate-limited by the (mechanism-required) interfacial reactions at the Ol–Cpx phase boundaries. Such an analysis is unavailable by current electron beam/X-ray spectrometry approaches, which have not the requisite spatial precision. APT application to nanometer-scale problems in silicate petrology is challenging, particularly because signal overlap is caused by the evaporation of polyion species. We carefully outline the procedures used to acquire and discriminate the data in order to address the challenges of signal overlap.

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References

  • Arzt E, Ashby MF, Verrall RA (1983) Interface controlled diffusional creep. Acta Metall 31(12):1977–1989

    Article  Google Scholar 

  • Blavette D, Duval P, Letellier L, Guttmann M (1996) Atomic-scale APFIM and TEM investigation of grain boundary microchemistry in Astroloy nickel base superalloys. Acta Mater 44(12):4995–5005

    Article  Google Scholar 

  • Bons PD, den Brok B (2000) Crystallographic preferred orientation development by dissolution–precipitation creep. J Struct Geol 22(11–12):1713–1722

    Article  Google Scholar 

  • Budai J, Gauddig W, Sass SL (1979) The measurement of grain boundary thickness using X-ray diffraction techniques. Philos Mag A 40(6):757–767

    Article  Google Scholar 

  • Bunton JH, Kelly TF, Gribb TT (2010) U.S. patent no. 7,683,318. U.S. Patent and Trademark Office, Washington, DC

  • Cantwell PR, Tang M, Dillon SJ, Luo J, Rohrer GS, Harmer MP (2014) Grain boundary complexions. Acta Mater 62:1–48

    Article  Google Scholar 

  • Carter CB, Kohlstedt DL, Sass SL (1980) Electron diffraction and microscopy studies of the structure of grain boundaries in Al2O3. J Am Ceram Soc 63(11–12):623–627

    Article  Google Scholar 

  • Chakraborty S (2010) Diffusion coefficients in olivine, wadsleyite and ringwoodite. Rev Miner Geochem 72(1):603–639

    Article  Google Scholar 

  • Cho J, Harmer MP, Chan HM, Rickman JM, Thompson AM (1997) Effect of yttrium and lanthanum on the tensile creep behavior of aluminum oxide. J Am Ceram Soc 80(4):1013–1017

    Article  Google Scholar 

  • Coble RL (1963) A model for boundary diffusion controlled creep in polycrystalline materials. J Appl Phys 34(6):1679–1682

    Article  Google Scholar 

  • Cooper RF (2002) Seismic wave attenuation: energy dissipation in viscoelastic crystalline solids. Rev Miner Geochem 51(1):253–290

    Article  Google Scholar 

  • de Laeter JR, Böhlke JK, De Bièvre P, Hidaka H, Peiser HS, Rosman KJR, Taylor PDP (2003) Atomic weights of the elements. Review 2000 (IUPAC technical report). Pure Appl Chem 75(6):683–800

    Article  Google Scholar 

  • Detor AJ, Miller MK, Schuh CA (2007) Measuring grain-boundary segregation in nanocrystalline alloys: direct validation of statistical techniques using atom probe tomography. Philos Mag Lett 87(8):581–587

    Article  Google Scholar 

  • Dohmen R, Milke R (2010) Diffusion in polycrystalline materials: grain boundaries, mathematical models, and experimental data. Rev Miner Geochem 72(1):921–970

    Article  Google Scholar 

  • Exertier F, La Fontaine A, Corcoran C, Piazolo S, Belousova E, Peng Z, Pedrazzini S (2018) Atom probe tomography analysis of the reference zircon gj-1: an interlaboratory study. Chem Geol 495:27–35

    Article  Google Scholar 

  • Fisher JC (1951) Calculation of diffusion penetration curves for surface and grain boundary diffusion. J Appl Phys 22(1):74–77

    Article  Google Scholar 

  • Frost BR, Fyfe WS, Tazaki K, Chan T (1989) Grain-boundary graphite in rocks and implications for high electrical conductivity in the lower crust. Nature 340(6229):134–136

    Article  Google Scholar 

  • Fujii N, Osamura K, Takahashi E (1986) Effect of water saturation on the distribution of partial melt in the olivine-pyroxene-plagioclase system. J Geophys Res Solid Earth 91(B9):9253–9259

    Article  Google Scholar 

  • Gault B, Moody MP, Cairney JM, Ringer SP (2012) Atom probe microscopy, vol 160. Springer Science & Business Media, New York

    Book  Google Scholar 

  • Gottstein G, Shvindlerman LS (2009) Grain boundary migration in metals: thermodynamics, kinetics, applications, 2nd edn. CRC Press, Boca Raton

    Book  Google Scholar 

  • Gribb TT, Cooper RF (1998) Low-frequency shear attenuation in polycrystalline olivine: Grain boundary diffusion and the physical significance of the Andrade model for viscoelastic rheology. J Geophys Res Solid Earth 103(B11):27267–27279

    Article  Google Scholar 

  • Hellman OC, Vandenbroucke JA, Rüsing J, Isheim D, Seidman DN (2000) Analysis of three-dimensional atom-probe data by the proximity histogram. Microsc Microanal 6(5):437–444

    Article  Google Scholar 

  • Herring C (1950) Diffusional viscosity of a polycrystalline solid. J Appl Phys 21(5):437–445

    Article  Google Scholar 

  • Hiraga T, Anderson IM, Kohlstedt DL (2004) Grain boundaries as reservoirs of incompatible elements in the Earth’s mantle. Nature 427(6976):699–703

    Article  Google Scholar 

  • Hirth G, Kohlstedt DL (1995) Experimental constraints on the dynamics of the partially molten upper mantle: 2. Deformation in the dislocation creep regime. J Geophys Res Solid Earth 100(B8):15441–15449

    Article  Google Scholar 

  • Isheim D, Gagliano MS, Fine ME, Seidman DN (2006) Interfacial segregation at Cu-rich precipitates in a high-strength low-carbon steel studied on a sub-nanometer scale. Acta Mater 54(3):841–849

    Article  Google Scholar 

  • Jamnik J, Raj R (1996) Space-charge-controlled diffusional creep: volume diffusion case. J Am Ceram Soc 79(1):193–198

    Article  Google Scholar 

  • Kelly TF, Larson DJ, Thompson K, Alvis RL, Bunton JH, Olson JD, Gorman BP (2007) Atom probe tomography of electronic materials. Annu Rev Mater Res 37:681–727

    Article  Google Scholar 

  • Kingery WD, Bowen HK, Uhlmann DR (1976) Introduction to ceramics, 2nd edn. Wiley, New York

    Google Scholar 

  • Kliewer KL, Koehler JS (1965) Space charge in ionic crystals. I. General approach with application to NaCl. Phys Rev 140(4A):A1226–A1240

    Article  Google Scholar 

  • Kohlstedt DL (1990) Chemical analysis of grain boundaries in an olivine-basalt aggregate using high-resolution, analytical electron microscopy. In: Duba AG, Durham WB, Handin JW, Wang HF (eds) The brittle ductile transition in rocks: the heard volume. American Geophysical Union, Washington, pp 211–218

    Chapter  Google Scholar 

  • Kondepudi D, Prigogine I (1998) Modern Thermodynamics. In: From heat engines to dissipative structures. Wiley, Hoboken, NJ, p 486

  • Krakauer BW, Seidman DN (1993) Absolute atomic-scale measurements of the Gibbsian interfacial excess of solute at internal interfaces. Phys Rev B 48(9):6724-6727

    Article  Google Scholar 

  • Marquardt K, Faul UH (2018) The structure and composition of olivine grain boundaries: 40 years of studies, status and current developments. Phys Chem Miner 45(2):139–172

    Article  Google Scholar 

  • Miller MK (2006) Atom probe tomography characterization of solute segregation to dislocations. Microsc Res Tech 69(5):359–365

    Article  Google Scholar 

  • Miller MK, Russell KF, Thompson K, Alvis R, Larson DJ (2007) Review of atom probe FIB-based specimen preparation methods. Microsc Microanal 13(6):428–436

    Article  Google Scholar 

  • Nabarro FRN (1948) Deformation of crystals by motion of single ions. In: Nooky G (ed) Report on a conference on the strength of solids. Physical Society of London, UK, pp 75–90

    Google Scholar 

  • Peterman EM, Reddy SM, Saxey DW, Snoeyenbos DR, Rickard WD, Fougerouse D, Kylander-Clark AR (2016) Nanogeochronology of discordant zircon measured by atom probe microscopy of Pb-enriched dislocation loops. Sci Adv 2(9):e1601318

    Article  Google Scholar 

  • Pommier A, Kohlstedt DL, Hansen LN, Mackwell S, Tasaka M, Heidelbach F, Leinenweber K (2018) Transport properties of olivine grain boundaries from electrical conductivity experiments. Contrib Miner Petrol 173:1–13

    Article  Google Scholar 

  • Raj R, Ashby MF (1971) On grain boundary sliding and diffusional creep. Metall Trans 2(4):1113–1127

    Article  Google Scholar 

  • Ricoult DL, Kohlstedt DL (1983) Structural width of low-angle grain boundaries in olivine. Phys Chem Miner 9(3–4):133–138

    Article  Google Scholar 

  • Saxey DW, Moser DE, Piazolo S, Reddy SM, Valley JW (2018a) Atomic worlds: current state and future of atom probe tomography in geoscience. Scr Mater 148:115–121

    Article  Google Scholar 

  • Saxey DW, Reddy SM, Fougerouse D, Rickard WD (2018b) The optimization of zircon analyses by laser-assisted atom probe microscopy: insights from the 91500 zircon standard. In: Moser DE, Corfu F, Darling JR, Reddy SM, Tait K (eds) Microstructural geochronology: planetary records down to atom scale. Wiley-Blackwell, UK, pp 293–313

    Google Scholar 

  • Schmalzried H (1981) Solid state reactions, 2nd edn. Verlag Chemie, Weinheim

    Google Scholar 

  • Sundberg M, Cooper RF (2008) Crystallographic preferred orientation produced by diffusional creep of harzburgite: effects of chemical interactions among phases during plastic flow. J Geophys Res Solid Earth 113(12):B12208. https://doi.org/10.1029/2008JB005618

    Article  Google Scholar 

  • Sutton AP, Balluffi RW (1995) Interfaces in crystalline materials. Clarendon Press, Oxford

    Google Scholar 

  • Tasaka M, Zimmerman ME, Kohlstedt DL, Stünitz H, Heilbronner R (2017) Rheological weakening of olivine + orthopyroxene aggregates due to phase mixing: Part 2. Microstructural development. J Geophys Res Solid Earth 122(10):7597–7612

    Article  Google Scholar 

  • Tsong TT (1978) Field ion image formation. Surf Sci 70(1):211–233

    Article  Google Scholar 

  • Valley JW, Cavosie AJ, Ushikubo T, Reinhard DA, Lawrence DF, Larson DJ, Clifton PH, Kelly TF, Wilde SA, Moser DE, Spicuzza MJ (2014) Hadean age for a post-magma-ocean zircon confirmed by atom-probe tomography. Nat Geosci 7(3):219–223

    Article  Google Scholar 

  • Warren JM, Hirth G (2006) Grain size sensitive deformation mechanisms in naturally deformed peridotites. Earth Planet Sci Lett 248(1–2):438–450

    Article  Google Scholar 

  • Wheeler J (1992) Importance of pressure solution and Coble creep in the deformation of polymineralic rocks. J Geophys Res Solid Earth 97(B4):4579–4586

    Article  Google Scholar 

  • Xu Y, Shankland TJ (1999) Electrical conductivity of orthopyroxene and its high pressure phases. Geophys Res Lett 26(17):2645–2648

    Article  Google Scholar 

  • Yan MF, Cannon RM, Bowen HK (1983) Space charge, elastic field, and dipole contributions to equilibrium solute segregation at interfaces. J Appl Phys 54(2):764–778

    Article  Google Scholar 

  • Zhang X, Ganguly J, Ito M (2010) Ca–Mg diffusion in diopside: tracer and chemical inter-diffusion coefficients. Contrib Miner Petrol 159(2):175–186

    Article  Google Scholar 

  • Zhao N, Hirth G, Cooper RF, Kruckenberg SC, Cukjati J (2019) Low viscosity of mantle rocks linked to phase boundary sliding. Earth Planet Sci Lett 517:83–94

    Article  Google Scholar 

Download references

Acknowledgements

Prof. Greg Hirth (Brown University) offered lively discussion of aspects of mechanical properties theory. Joseph Bunton (Cameca Instruments, Madison, WI) helped us understand aspects of laser–solid interaction. This work was carried out in part at (a) the Center for Nanoscale Systems, Harvard University (National Science Foundation award number 1541959), and (b) the Central Analytical Facility supported by the University of Alabama. We happily acknowledge very helpful formal reviews by Drs. Steve Reddy and Sandra Piazolo and journal editor Larissa Dobrzhinetskaya. This research was supported financially, in part, through grants from the National Science Foundation Division of Earth Sciences (EAR-1144668, Program in Petrology and Geochemistry; EAR-1620474, Program in Geophysics).

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269_2019_1045_MOESM1_ESM.png

Supplementary Figure A: Proxigram and 1-D analyses of major and minor element chemistry near the olivine–clinopyroxene phase boundary. Proxigram based on a Ca2+ isosurface created with a 3-nm grid-size smoothing. Delocalization parameters are x = 3.0 nm, y = 3.0 nm and z = 1.5 nm. The upper-left graphs represent total detected atomic species (PNG 384 kb)

269_2019_1045_MOESM2_ESM.png

Supplementary Figure B: Proxigram and 1-D analyses of trace element chemistry near the olivine–clinopyroxene phase boundary. Proxigram based on a Ca2+ isosurface created with a 3-nm grid-size smoothing. Delocalization parameters are x = 3.0 nm, y = 3.0 nm and z = 1.5 nm (PNG 426 kb)

269_2019_1045_MOESM3_ESM.png

Supplementary Figure C: Proxigram and 1-D analyses of major and minor element chemistry near the olivine–olivine grain boundary. Proxigram based on a Ca2+ isosurface created with a 5-nm grid-size smoothing. Delocalization parameters are x = 3.0 nm, y = 3.0 nm and z = 1.5 nm. The upper-left graphs represent total detected atomic species (PNG 397 kb)

269_2019_1045_MOESM4_ESM.png

Supplementary Figure D: Proxigram and 1-D analyses of trace element chemistry near the olivine–olivine phase boundary. Proxigram based on a Ca2+ isosurface created with a 5-nm grid-size smoothing. Delocalization parameters are x = 3.0 nm, y = 3.0 nm and z = 1.5 nm (PNG 414 kb)

269_2019_1045_MOESM5_ESM.png

Supplementary Figure E: 1-D analyses of major and minor element chemistry near the clinopyroxene–clinopyroxene grain boundary. Insufficient chemical gradients exist for proxigram calculations at this interface. Delocalization parameters are x = 3.0 nm, y = 3.0 nm and z = 1.5 nm. The upper-left graph represents total detected atomic species (PNG 273 kb)

269_2019_1045_MOESM6_ESM.png

Supplementary Figure F: 1-D analyses of trace element chemistry near the clinopyroxene–clinopyroxene grain boundary. Insufficient chemical gradients exist for proxigram calculations at this interface. Delocalization parameters are x = 3.0 nm, y = 3.0 nm and z = 1.5 nm (PNG 289 kb)

Supplementary Figure G: Mass spectrum for the Ol–Ol tip. Full spectrum is available in Table 2 (PNG 158 kb)

Supplementary Figure H: Mass spectrum for the Ol–Cpx tip. Full spectrum is available in Table 2 (PNG 162 kb)

Supplementary Figure I: Mass spectrum for the Cpx–Cpx tip. Full spectrum is available in Table 2 (PNG 164 kb)

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Supplementary Figure J: Selected APT analytical reconstructions from the Cpx–Cpx boundary. The 3-D reconstruction is oriented with the vector normal to the grain boundary within the plane of the page. Al and Ca are enriched at the Cpx–Cpx boundary (PNG 729 kb)

Supplementary material 11 (DOCX 14 kb)

Supplementary material 12 (DOCX 15 kb)

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Cukjati, J.T., Cooper, R.F., Parman, S.W. et al. Differences in chemical thickness of grain and phase boundaries: an atom probe tomography study of experimentally deformed wehrlite. Phys Chem Minerals 46, 845–859 (2019). https://doi.org/10.1007/s00269-019-01045-x

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