The isotope effect for Mg-Fe interdiffusion in olivine and its dependence on crystal orientation, composition and temperature

Sio, Corliss K.; Roskosz, Mathieu; Dauphas, Nicolas; Bennett, Neil R.; Mock, Timothy; Shahar, Anat

doi:10.1016/j.gca.2018.06.024

Title: The isotope effect for Mg-Fe interdiffusion in olivine and its dependence on crystal orientation, composition and temperature

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Abstract

Isotopic fractionation associated with diffusion in crystals is the most reliable means of understanding the origin of mineral zoning in igneous and metamorphic rocks. We have experimentally determined the relative diffusivities of iron isotopes in olivine as a function of crystallographic orientation, composition, and temperature. For two isotopes i and j of an element, the isotope effect for diffusion is parameterized as D_i/D_j = (m_j/m_i)^β, where β is a dimensionless parameter, and D and m stand for diffusivity and mass, respectively. A series of single crystal diffusion couple experiments were conducted at an oxygen fugacity of QFM – 1.5 at temperatures of 1200, 1300, and 1400 °C. Here, for the Fo_83.4-Fo_88.8 composition pair, β_Fe is isotropic and a value of 0.16 ± 0.09 can be used to describe diffusion along all major crystallographic axes in olivine. Based on our experiments and previously reported coupled Mg-Fe isotopic data, we also estimate β_Mg = 0.09 ± 0.05 for this range of olivine composition. For the Fo_88.8-Fo100 composition pair, β_Fe becomes anisotropic with β_{Fe [100]} = 0.11 ± 0.03, β_{Fe [010}] = 0.14 ± 0.03 (both within error of the value measured for the Fo83.4-Fo88.8 pair), and β_{Fe [001]} = 0.03 ± 0.03.more »« less

Authors:

Sio, Corliss K. ^[1]; Roskosz, Mathieu ^[2]; Dauphas, Nicolas ^[3]; Bennett, Neil R. ^[4]; Mock, Timothy ^[5]; Shahar, Anat ^[4]

Carnegie Inst. of Washington, Washington, DC (United States). Geophysical Lab.; Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sorbonne Univ., Paris (France). Muséum National d'Histoire Naturelle, Inst. de Minéralogie, de Physique des Matériaux et de Cosmochimie
Univ. of Chicago, IL (United States). Origins Lab., Dept. of the Geophysical Sciences and Enrico Fermi Inst
Carnegie Inst. of Washington, Washington, DC (United States). Geophysical Lab.
Carnegie Inst. of Washington, Washington, DC (United States). Dept. of Terrestrial Magnetism

Publication Date:: Sat Jun 30 00:00:00 EDT 2018

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1479057

Alternate Identifier(s):: OSTI ID: 1775794

Report Number(s):: LLNL-JRNL-736676
Journal ID: ISSN 0016-7037; 889349

Grant/Contract Number:: AC52-07NA27344; EAR1444951; EAR1502591; LLNL-JRNL-736676; NNX15AJ25G; NNX17AE87G; NNX17AE86G; 2011JS56 004 01

Resource Type:: Accepted Manuscript

Journal Name:: Geochimica et Cosmochimica Acta

Additional Journal Information:: Journal Volume: 239; Journal Issue: C; Journal ID: ISSN 0016-7037

Publisher:: The Geochemical Society; The Meteoritical Society

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; Olivine; Diffusion; Isotope effect; Iron; Geospeedometry; Cooling history; Crystal growth

Citation Formats


                    Sio, Corliss K., Roskosz, Mathieu, Dauphas, Nicolas, Bennett, Neil R., Mock, Timothy, and Shahar, Anat. The isotope effect for Mg-Fe interdiffusion in olivine and its dependence on crystal orientation, composition and temperature.  United States: N. p., 2018. 
Web.  doi:10.1016/j.gca.2018.06.024.

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                    Sio, Corliss K., Roskosz, Mathieu, Dauphas, Nicolas, Bennett, Neil R., Mock, Timothy, & Shahar, Anat. The isotope effect for Mg-Fe interdiffusion in olivine and its dependence on crystal orientation, composition and temperature.  United States.  https://doi.org/10.1016/j.gca.2018.06.024

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                    Sio, Corliss K., Roskosz, Mathieu, Dauphas, Nicolas, Bennett, Neil R., Mock, Timothy, and Shahar, Anat. Sat .  
"The isotope effect for Mg-Fe interdiffusion in olivine and its dependence on crystal orientation, composition and temperature".  United States.  https://doi.org/10.1016/j.gca.2018.06.024.  https://www.osti.gov/servlets/purl/1479057.

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@article{osti_1479057,

  title        = {The isotope effect for Mg-Fe interdiffusion in olivine and its dependence on crystal orientation, composition and temperature},

  author       = {Sio, Corliss K. and Roskosz, Mathieu and Dauphas, Nicolas and Bennett, Neil R. and Mock, Timothy and Shahar, Anat},

  abstractNote = {Isotopic fractionation associated with diffusion in crystals is the most reliable means of understanding the origin of mineral zoning in igneous and metamorphic rocks. We have experimentally determined the relative diffusivities of iron isotopes in olivine as a function of crystallographic orientation, composition, and temperature. For two isotopes i and j of an element, the isotope effect for diffusion is parameterized as Di/Dj = (mj/mi)β, where β is a dimensionless parameter, and D and m stand for diffusivity and mass, respectively. A series of single crystal diffusion couple experiments were conducted at an oxygen fugacity of QFM – 1.5 at temperatures of 1200, 1300, and 1400 °C. Here, for the Fo83.4-Fo88.8 composition pair, βFe is isotropic and a value of 0.16 ± 0.09 can be used to describe diffusion along all major crystallographic axes in olivine. Based on our experiments and previously reported coupled Mg-Fe isotopic data, we also estimate βMg = 0.09 ± 0.05 for this range of olivine composition. For the Fo88.8-Fo100 composition pair, βFe becomes anisotropic with βFe [100] = 0.11 ± 0.03, βFe [010] = 0.14 ± 0.03 (both within error of the value measured for the Fo83.4-Fo88.8 pair), and βFe [001] = 0.03 ± 0.03. For Fo# between 83.4 and 100, βFe [100] and βFe [010] are thus independent of composition. The reason why βFe [001] transitions from ~0.16 to ~0.03 close to the Mg-endmember is unclear. Over the temperature range studied, a dependence of βFe on temperature was not resolved. General analytical expressions are introduced to calculate isotopic fractionation as a function of distance, time, β, and the concentration contrast between the diffusing media for spherical, cylindrical, and planar geometries.},

  doi          = {10.1016/j.gca.2018.06.024},

  journal      = {Geochimica et Cosmochimica Acta},

  number       = C,

  volume       = 239,

  place        = {United States},

  year         = {Sat Jun 30 00:00:00 EDT 2018},

  month        = {Sat Jun 30 00:00:00 EDT 2018}

}

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