Startseite Elasticity of franklinite and trends for transition-metal oxide spinels
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Elasticity of franklinite and trends for transition-metal oxide spinels

  • Hans J. Reichmann EMAIL logo , Steven D. Jacobsen und Tiziana Boffa Ballaran
Veröffentlicht/Copyright: 7. März 2015
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American Mineralogist
Aus der Zeitschrift American Mineralogist Band 98 Heft 4

Abstract

The pressure dependence of single-crystal elastic moduli of a natural Mn-rich franklinite, (Mn0.40Fe2+0.16Zn0.37Mg0.03)(Fe3+1.94Al0.08)O4, has been determined by GHz-ultrasonic interferometry in a diamond-anvil cell to 9.8 GPa. The room-pressure elastic constants of franklinite are C11 = 244(3) GPa, C12 = 142(4) GPa, and C44 = 77(2) GPa. Linear pressure derivatives of C11 and C12 are 4.3(3) and 3.8(3), respectively, whereas the C44 modulus exhibits softening, fitted in the P ≤ 10 GPa pressure range to C44 = 77(2) + 0.29(2)P - 0.018(2)P2 GPa. The average of Hashin-Shtrikman bounds on the adiabatic bulk modulus (KS0) of franklinite is 175(3) GPa, with pressure derivative KS′ = 4.3(3), and the shear modulus G0 = 66(2) GPa with G′ = 0.09(3). The isothermal compressibility of franklinite was determined from a separate high-pressure, single-crystal X-ray diffraction experiment to 7.8 GPa, yielding KT0 = 173.5(7) GPa fitted with a fixed pressure derivative of KT′ = 4. When K′ is fixed to the ultrasonic value of 4.3, we obtain KT0 = 172.2(7) GPa. In contrast to iron-free gahnite (ZnAl2O4), franklinite exhibits pressure-induced mode softening of C44 similar to magnetite (Fe3O4). Between end-member compositions ZnFe2O4 (franklinite) and MnFe2O4 (jacobsite), the bulk modulus decreases linearly with increasing %Mn, however we observe non-linear behavior in other elastic moduli, especially C44, which displays a pronounced negative anomaly for the mid-range Mn composition. Applying Birch’s law to AB2O4-type spinels reveals that oxide spinels containing transition metals on both A and B sites follow a distinct trend from other spinels.

Keywords : Spinel; elasticity; transition metals; equation of state
Received: 2012-7-13
Accepted: 2012-12-21
Published Online: 2015-3-7
Published in Print: 2013-4-1

© 2015 by Walter de Gruyter Berlin/Boston

Artikel in diesem Heft

  1. Highlight and Breakthrough. A fresh look at crystals in the Bishop Tuff
  2. Actinides in Geology, Energy, and the Environment. Remobilization of U and REE and the formation of secondary minerals in oxidized U deposits
  3. Actinides in Geology, Energy, and the Environment. Revision of the symmetry and the crystal structure of čejkaite, Na4(UO2)(CO3)3
  4. Characterization of ferric arsenate-sulfate compounds: Implications for arsenic control in refractory gold processing residues
  5. Crystal structure and chemistry of skarn-associated bismuthian vesuvianite
  6. Transformation of graphite to lonsdaleite and diamond in the Goalpara ureilite directly observed by TEM
  7. Quartz nanocrystals in the 2.48 Ga Dales Gorge banded iron formation of Hamersley, Western Australia: Evidence for a change from submarine to subaerial volcanism at the end of the Archean
  8. Synthesis and characterization of amphiboles along the tremolite–glaucophane join
  9. Elasticity of franklinite and trends for transition-metal oxide spinels
  10. Redox systematics of martian magmas with implications for magnetite stability
  11. Hydrogen incorporation and the oxidation state of iron in ringwoodite: A spectroscopic study
  12. Hydrous ringwoodite to 5 K and 35 GPa: Multiple hydrogen bonding sites resolved with FTIR spectroscopy
  13. Calibration of zircon as a Raman spectroscopic pressure sensor to high temperatures and application to water-silicate melt systems
  14. Computational study of the elastic behavior of the 2M1 muscovite-paragonite series
  15. Vanadium L2,3 XANES experiments and first-principles multielectron calculations: Impact of second-nearest neighboring cations on vanadium-bearing fresnoites
  16. A time-resolved X-ray diffraction study of Cs exchange into hexagonal H-birnessite
  17. Grain-boundary diffusion rates inferred from grain-size variations of quartz in metacherts from a contact aureole
  18. On the use of unpolarized infrared spectroscopy for quantitative analysis of absorbing species in birefringent crystals
  19. A computational model of cation ordering in the magnesioferrite-qandilite (MgFe2O4- Mg2TiO4) solid solution and its potential application to titanomagnetite (Fe3O4-Fe2TiO4)
  20. 3T-phlogopite from Kasenyi kamafugite (SW Uganda): EPMA, XPS, FTIR, and SCXRD study
  21. Revision of the crystal structure and chemical formula of haiweeite, Ca(UO2)2(Si5O12)(OH)2·6H2O
  22. Cation arrangement in the octahedral and tetrahedral sheets of cis-vacant polymorph of dioctahedral 2:1 phyllosilicates by quantum mechanical calculations
  23. High-pressure phase transitions of Fe3–xTixO4 solid solution up to 60 GPa correlated with electronic spin transition
  24. Hydrogen incorporation in crystalline zircon: Insight from ab initio calculations
  25. The vibrational features of hydroxylapatite and type A carbonated apatite: A first principle contribution
  26. STEM investigation of exsolution lamellae and “c” reflections in Ca-rich dolomite from the Platteville Formation, western Wisconsin
  27. Karenwebberite, Na(Fe2+,Mn2+)PO4, a new member of the triphylite group from the Malpensata pegmatite, Lecco Province, Italy
  28. The crystal structure of ramdohrite, Pb5.9Fe0.1Mn0.1In0.1Cd0.2Ag2.8Sb10.8S24: A new refinement
  29. Static disorders of atoms and experimental determination of Debye temperature in pyrope: Low- and high-temperature single-crystal X-ray diffraction study—Discussion
  30. Static disorders of atoms and experimental determination of Debye temperature in pyrope: Low- and high-temperature single-crystal X-ray diffraction study—Reply
https://doi.org/10.2138/am.2013.4294
Schlagwörter für diesen Artikel
Spinel; elasticity; transition metals; equation of state

Artikel in diesem Heft

  1. Highlight and Breakthrough. A fresh look at crystals in the Bishop Tuff
  2. Actinides in Geology, Energy, and the Environment. Remobilization of U and REE and the formation of secondary minerals in oxidized U deposits
  3. Actinides in Geology, Energy, and the Environment. Revision of the symmetry and the crystal structure of čejkaite, Na4(UO2)(CO3)3
  4. Characterization of ferric arsenate-sulfate compounds: Implications for arsenic control in refractory gold processing residues
  5. Crystal structure and chemistry of skarn-associated bismuthian vesuvianite
  6. Transformation of graphite to lonsdaleite and diamond in the Goalpara ureilite directly observed by TEM
  7. Quartz nanocrystals in the 2.48 Ga Dales Gorge banded iron formation of Hamersley, Western Australia: Evidence for a change from submarine to subaerial volcanism at the end of the Archean
  8. Synthesis and characterization of amphiboles along the tremolite–glaucophane join
  9. Elasticity of franklinite and trends for transition-metal oxide spinels
  10. Redox systematics of martian magmas with implications for magnetite stability
  11. Hydrogen incorporation and the oxidation state of iron in ringwoodite: A spectroscopic study
  12. Hydrous ringwoodite to 5 K and 35 GPa: Multiple hydrogen bonding sites resolved with FTIR spectroscopy
  13. Calibration of zircon as a Raman spectroscopic pressure sensor to high temperatures and application to water-silicate melt systems
  14. Computational study of the elastic behavior of the 2M1 muscovite-paragonite series
  15. Vanadium L2,3 XANES experiments and first-principles multielectron calculations: Impact of second-nearest neighboring cations on vanadium-bearing fresnoites
  16. A time-resolved X-ray diffraction study of Cs exchange into hexagonal H-birnessite
  17. Grain-boundary diffusion rates inferred from grain-size variations of quartz in metacherts from a contact aureole
  18. On the use of unpolarized infrared spectroscopy for quantitative analysis of absorbing species in birefringent crystals
  19. A computational model of cation ordering in the magnesioferrite-qandilite (MgFe2O4- Mg2TiO4) solid solution and its potential application to titanomagnetite (Fe3O4-Fe2TiO4)
  20. 3T-phlogopite from Kasenyi kamafugite (SW Uganda): EPMA, XPS, FTIR, and SCXRD study
  21. Revision of the crystal structure and chemical formula of haiweeite, Ca(UO2)2(Si5O12)(OH)2·6H2O
  22. Cation arrangement in the octahedral and tetrahedral sheets of cis-vacant polymorph of dioctahedral 2:1 phyllosilicates by quantum mechanical calculations
  23. High-pressure phase transitions of Fe3–xTixO4 solid solution up to 60 GPa correlated with electronic spin transition
  24. Hydrogen incorporation in crystalline zircon: Insight from ab initio calculations
  25. The vibrational features of hydroxylapatite and type A carbonated apatite: A first principle contribution
  26. STEM investigation of exsolution lamellae and “c” reflections in Ca-rich dolomite from the Platteville Formation, western Wisconsin
  27. Karenwebberite, Na(Fe2+,Mn2+)PO4, a new member of the triphylite group from the Malpensata pegmatite, Lecco Province, Italy
  28. The crystal structure of ramdohrite, Pb5.9Fe0.1Mn0.1In0.1Cd0.2Ag2.8Sb10.8S24: A new refinement
  29. Static disorders of atoms and experimental determination of Debye temperature in pyrope: Low- and high-temperature single-crystal X-ray diffraction study—Discussion
  30. Static disorders of atoms and experimental determination of Debye temperature in pyrope: Low- and high-temperature single-crystal X-ray diffraction study—Reply
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