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Thermoelasticity of tremolite amphibole: Geophysical implications

  • Ye Peng EMAIL logo and Mainak Mookherjee
Published/Copyright: June 4, 2020
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American Mineralogist
From the journal American Mineralogist Volume 105 Issue 6

Abstract

We investigated the structure, equation of state, thermodynamics, and elastic properties of tremolite amphibole [Ca2Mg5Si8O22(OH)2] up to 10 GPa and 2000 K, using first principles simulations based on density functional perturbation theory. We found that at 300 K, the pressure-volume results can be adequately described by a third-order Birch-Murnaghan equation of state with bulk moduli K0 of 78.5 and 66.3 GPa based on local density approximation (LDA) and generalized gradient approximation (GGA), respectively. We also derived its coefficients of the elastic tensor based on LDA and GGA and found that the LDA result is in good agreement with the experimental results. At 300 K, the shear modulus G0 is 58.0 GPa based on LDA. The pressure derivative of the bulk modulus K′ is 5.9, while that of the shear modulus G′ is 1.3. The second Grüneisen parameter, or δT= [–1/(αKT)](∂KT/∂T)P, is 3.3 based on LDA. We found that at ambient conditions, tremolite is elastically anisotropic with the compressional wave velocity anisotropy AVP being 34.6% and the shear wave velocity anisotropy AVS being 27.5%. At higher pressure corresponding to the thermodynamic stability of tremolite, i.e., ~3 GPa, the AVP reduces to 29.5%, whereas AVS increases to 30.8%. To evaluate whether the presence of hydrous phases such as amphibole and phlogopite could account for the observed shear wave velocity (VS) anomaly at the mid-lithospheric discontinuity (MLD), we used the thermoelasticities of tremolite (as a proxy for other amphiboles), phlogopite, and major mantle minerals to construct synthetic velocity profiles. We noted that at depths corresponding to the mid-lithosphere, the presence of 25 vol% amphibole and 1 vol% phlogopite could account for a VS reduction of 2.3%. Thus based on our thermoelasticity results on tremolite amphibole, it seems that mantle metasomatism could partly explain the MLD.

Keywords: Tremolite; equation of state; elasticity; Mid-Lithospheric Discontinuity (MLD)

Acknowledgments

The authors thank two anonymous reviewers and the Associate Editor Sergio Speziale for their thorough reviews and constructive comments that enhanced the clarity of the manuscript. The authors acknowledge Aaron Ashley and Suraj Bajgain for their comments, which improved the manuscript.

  1. Funding

    This work is supported by the U.S. National Science Foundation grant EAR 1763215 and EAR 1753125. The authors acknowledge computing resources from the High Performance Computing, Research Computing Center, Florida State University and from the NSF Extreme Science and Engineering Discovery Environment (XSEDE) (TG-GEO170003).

References cited

Abers, G.A., and Hacker, B.R. (2016) A MATLAB toolbox and Excel workbook for calculating the densities, seismic wave speeds, and major element composition of minerals and rocks at pressure and temperature. Geochemistry, Geophysics, Geosystems, 17, 616–624.10.1002/2015GC006171Search in Google Scholar

Abt, D.L., Fischer, K.M., French, S.W., Ford, H.A., Yuan, H., and Romanowicz, B. (2010) North American lithospheric discontinuity structure imaged by PS and SP receiver functions. Journal of Geophysical Research: Solid Earth, 115, 1–24.10.1029/2009JB006914Search in Google Scholar

Anderson, O.L., Isaak, D., and Oda, H. (1992) High-temperature elastic constant data on minerals relevant to geophysics. Reviews of Geophysics, 30, 57–90.10.1029/91RG02810Search in Google Scholar

Artemieva, I.M. (2009) The continental lithosphere: reconciling thermal, seismic, and petrologic data. Lithos, 109, 23–46.10.1016/j.lithos.2008.09.015Search in Google Scholar

Bailey, E., and Holloway, J.R. (2000) Experimental determination of elastic properties of talc to 800 °C, 0.5 GPa; calculations of the effect on hydrated peridotite, and implications for cold subduction zones. Earth and Planetary Science Letters, 183, 487–498.10.1016/S0012-821X(00)00288-0Search in Google Scholar

Baroni, S., De Gironcoli, S., Dal Corso, A., and Giannozzi, P. (2001) Phonons and related crystal properties from density-functional perturbation theory. Reviews of Modern Physics, 73, 515.10.1103/RevModPhys.73.515Search in Google Scholar

Bezacier, L., Reynard, B., Bass, J.D., Sanchez-Valle, C., and Van de Moortèle, B. (2010) Elasticity of antigorite, seismic detection of serpentinites, and anisotropy in subduction zones. Earth and Planetary Science Letters, 289, 198–208.10.1016/j.epsl.2009.11.009Search in Google Scholar

Birch, F. (1978) Finite strain isotherm and velocities for single crystal and polycrystalline NaCl at high-pressures and 300 K. Journal of Geophysical Research, 83, 1257–1268.10.1029/JB083iB03p01257Search in Google Scholar

Brown, J.M., and Abramson, E.H. (2016) Elasticity of calcium and calcium-sodium amphiboles. Physics of the Earth and Planetary Interiors, 261, 161–171.10.1016/j.pepi.2016.10.010Search in Google Scholar

Carlson, R.W., Pearson, D.G., and James, D.E. (2005) Physical, chemical, and chronological characteristics of continental mantle. Reviews of Geophysics, 43, 1–24.10.1029/2004RG000156Search in Google Scholar

Ceperley, D.M., and Adler, B.J. (1980) Ground state of the electron gas by a stochastic method. Physical Review Letters, 45, 566–569.10.2172/5208790Search in Google Scholar

Chen, C.C., Lin, C.C., Liu, L.G., Sinogeikin, S.V., and Bass, J.D. (2001) Elasticity of single-crystal calcite and rhodochrosite by Brillouin spectroscopy. American Mineralogist, 86, 1525–1529.10.2138/am-2001-11-1222Search in Google Scholar

Chen, P.F., Chiao, L.Y., Huang, P.H., Yang, Y.J., and Liu, L.G. (2006) Elasticity of magnesite and dolomite from a genetic algorithm for inverting Brillouin spectroscopy measurements. Physics of the Earth and Planetary Interiors, 155, 73–86.10.1016/j.pepi.2005.10.004Search in Google Scholar

Chheda, T., Mookherjee, M., Mainprice, D., dos Santos, A.M., Molaison, J.J., Chantel, J., Manthilake, G., and Bassett, W.A. (2014) Structure and elasticity of phlogopite under compression: Geophysical implications. Physics of the Earth and Planetary Interiors, 233, 1–12.10.1016/j.pepi.2014.05.004Search in Google Scholar

Cline, C.J. II, Faul, U.H., David, E.C., Berry, A.J., and Jackson, I. (2018) Redoxinfluenced seismic properties of upper-mantle olivine. Nature, 555, 355–358.10.1038/nature25764Search in Google Scholar

Comboni, D., Lotti, P., Gatta, G.D., Merlini, M., Liermann, H.P., and Frost, D.J. (2017) Pargasite at high pressure and temperature. Physics and Chemistry of Minerals, 45, 259–278.10.1007/s00269-017-0915-0Search in Google Scholar

Comodi, P., Mellini, M., Ungaretti, L., and Zanazzi, P.F. (1991) Compressibility and high pressure structure refinement of tremolite, pargasite, and glaucophane. European Journal of Mineralogy, 3, 485–499.10.1127/ejm/3/3/0485Search in Google Scholar

Comodi, P., Boffa Ballaran, T., Zanazzi, P.F., Capalbo, C., Zanetti, A., and Nazzareni, S. (2010) The effect of oxo-component on the high-pressure behavior of amphiboles. American Mineralogist, 95, 1042–1051.10.2138/am.2010.3429Search in Google Scholar

Dachs, E., Baumgartner, I.A., Bertoldi, C., Benisek, A., Tippelt, G., and Maresch, W.V. (2010) Heat capacity and third-law entropy of kaersutite, pargasite, fluoropargasite, tremolite and fluorotremolite. European Journal of Mineralogy, 22, 319–331.10.1127/0935-1221/2010/0022-2016Search in Google Scholar

Davies, G.F. (1974) Effective elastic moduli under hydrostatic stress—I. quasiharmonic theory. Journal of Physics and Chemistry of Solids, 35, 1513–1520.10.1016/S0022-3697(74)80279-9Search in Google Scholar

Fischer, K.M., Ford, H.A., Abt, D.L., and Rychert, C.A. (2010) The lithosphereasthenosphere boundary. Annual Review of Earth and Planetary Science, 38, 551–575.10.1146/annurev-earth-040809-152438Search in Google Scholar

Frost, D.J. (2006) The stability of hydrous mantle phases. Reviews in Mineralogy and Geochemistry, 62, 243–271.10.2138/rmg.2006.62.11Search in Google Scholar

Gajdoš, M., Hummer, K., Kresse, G., Furthmüller, J., and Bechstedt, F. (2006) Linear optical properties in the projector-augmented wave methodology. Physical Review B, 73, 045112.10.1103/PhysRevB.73.045112Search in Google Scholar

Griffin, W.L., O’Reilly, S.Y., Afonso, J.C., and Begg, G.C. (2009) The composition and evolution of lithospheric mantle: a re-evaluation and its tectonic implications. Journal of Petrology, 50, 1185–1204.10.1093/petrology/egn033Search in Google Scholar

Gung, Y., Romanowicz, B., and Panning, M. (2003) Global anisotropy and the thickness of continents. Nature, 422, 707–711.10.1038/nature01559Search in Google Scholar PubMed

Hacker, B.R., and Abers, G.A. (2004) Subduction Factory 3: An Excel worksheet and macro for calculating the densities, seismic wave speeds, and H2O contents of minerals and rocks at pressure and temperature. Geochemistry, Geophysics, Geosystems, 5, Q01005, doi:10.1029/2003GC000614.10.1029/2003GC000614Search in Google Scholar

Hohenberg, P., and Kohn, W. (1964) Inhomogenous electron gas. Physical Review B, 136, B864–871.10.1103/PhysRev.136.B864Search in Google Scholar

Isaak, D.G., Ohno, I., and Lee, P.C. (2006) The elastic constants of monoclinic single-crystal chrome-diopside to 1,300 K. Physics and Chemistry of Minerals, 32, 691–699.10.1007/s00269-005-0047-9Search in Google Scholar

Jackson, J.M., Sinogeikin, S.V., and Bass, J.D. (2007) Sound velocities and single-crystal elasticity of orthoenstatite to 1073 K at ambient pressure. Physics of the Earth and Planetary Interiors, 161, 1–12.10.1016/j.pepi.2006.11.002Search in Google Scholar

Jenkins, D.M., Holland, T.J., and Clare, A.K. (1991) Experimental determination of the pressure-temperature stability field and thermochemical properties of synthetic tremolite. American Mineralogist, 76, 458–469.Search in Google Scholar

Jenkins, D.M., Corona, J.C., Bassett, W.A., Mibe, K., and Wang, Z. (2010) Compressibility of synthetic glaucophane. Physics and Chemistry of Minerals, 37, 219–226.10.1007/s00269-009-0326-ySearch in Google Scholar

Ji, S., Shao, T., Michibayashi, K., Long, C., Wang, Q., Kondo, Y., Zhao, W., Wang, H., and Salisbury, M.H. (2013) A new calibration of seismic velocities, anisotropy, fabrics, and elastic moduli of amphibole-rich rocks. Journal of Geophysical Research: Solid Earth, 118, 4699–4728.10.1002/jgrb.50352Search in Google Scholar

Jiang, F., Speziale, S., and Duffy, T.S. (2006) Single-crystal elasticity of brucite, Mg(OH)2, to 15 GPa by Brillouin scattering. American Mineralogist, 91, 1893–1900.10.2138/am.2006.2215Search in Google Scholar

Kahl, W.A., and Maresch, W.V. (2001) Enthalpies of formation of tremolite and talc by high-temperature solution calorimetry-a consistent picture. American Mineralogist, 86, 1345–1357.10.2138/am-2001-11-1203Search in Google Scholar

Karato, S.I., and Park, J. (2019) On the origin of the upper mantle seismic discontinuities. In H. Yuan and B. Romanovicz, Eds., Lithospheric Discontinuities, p. 5–34. Wiley.10.1002/9781119249740.ch1Search in Google Scholar

Karato, S.I., Olugboji, T., and Park, J. (2015) Mechanisms and geologic significance of the mid-lithosphere discontinuity in the continents. Nature Geoscience, 8, 509–514.10.1038/ngeo2462Search in Google Scholar

Karki, B.B., Stixrude, L., and Wentzcovitch, R.M. (2001) Elastic properties of major materials of earth’s mantle from first principles. Reviews of Geophysics, 39, 507–534.10.1029/2000RG000088Search in Google Scholar

Kohn, W., and Sham, L.J. (1965) Self-consistent equations including exchange and correlation effects. Physical Review, 140, 1133–1138.10.1103/PhysRev.140.A1133Search in Google Scholar

Kresse, G., and Furthmüller, J. (1996a) Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Computational Material Science, 6, 15–50.10.1016/0927-0256(96)00008-0Search in Google Scholar

Kresse, G., and Furthmüller, J. (1996b) Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Physical Review B, 54, 11169–11186.10.1103/PhysRevB.54.11169Search in Google Scholar

Kresse, G., and Hafner, J. (1993) Ab initio molecular-dynamics for liquid-metals. Physical Review B, 47, 558–561.10.1016/0022-3093(95)00355-XSearch in Google Scholar

Kresse, G., and Joubert, D. (1999) From ultrasoft pseudopotentials to the projector augmented-wave method. Physical Review B, 59, 1758–1775.10.1103/PhysRevB.59.1758Search in Google Scholar

Krupka, K.M., Hemingway, B.S., Robie, R.A., and Kerrick, D.M. (1985) High-temperature heat capacities and derived thermodynamic properties of anthophyllite, diopside, dolomite, enstatite, bronzite, talc, tremolite and wollastonite. American Mineralogist, 70, 261–271.Search in Google Scholar

Lekić, V., and Fischer, K.M. (2014) Contrasting lithospheric signatures across the western United States revealed by SP receiver functions. Earth and Planetary Science Letters, 402, 90–98.10.1016/j.epsl.2013.11.026Search in Google Scholar

Lundqvist, S., and March, N.H. (1987) Theory of the inhomogeneous electron gas. Plenum Press, New York.Search in Google Scholar

Mainprice, D. (1990) An efficient FORTRAN program to calculate seismic anisotropy from the lattice preferred orientation of minerals. Computational Gesoscience, 16, 385–393.10.1016/0098-3004(90)90072-2Search in Google Scholar

Mainprice, D., Le Page, Y., Rodgers, J., and Jouanna, P. (2008) Ab initio elastic properties of talc from 0 to 12 GPa: interpretation of seismic velocities at mantle pressures and prediction of auxetic behaviour at low pressure. Earth and Planetary Science Letters, 274, 327–338.10.1016/j.epsl.2008.07.047Search in Google Scholar

Mandler, B.E., and Grove, T.L. (2016) Controls on the stability and composition of amphibole in the Earth’s mantle. Contributions to Mineralogy and Petrology, 171, 68.10.1007/s00410-016-1281-5Search in Google Scholar

Mao, Z., Fan, D., Lin, J.F., Yang, J., Tkachev, S.N., Zhuravlev, K., and Prakapenka, V.B. (2015) Elasticity of single-crystal olivine at high pressures and temperatures. Earth and Planetary Science Letters, 426, 204–215.10.1016/j.epsl.2015.06.045Search in Google Scholar

Meade, C., and Jeanloz, R. (1990) Static compression of Ca(OH)2 at room-temperature: observations of amorphization and equation of state measurements to 10.7 GPa. Geophysical Research Letters, 17, 1157–1160.10.1029/GL017i008p01157Search in Google Scholar

Mittal, V., Jiang, Z., Silber, R.E., Girard, J., and Karato, S.I. (2019) Some issues on the role of Ti-H on the physical properties of olivine. AGU Fall Meeting 2019.Search in Google Scholar

Monkhorst, H.J., and Pack, J.D. (1976) Special points for Brillouin-zone integrations. Physical Review B, 13, 5188–5192.10.1103/PhysRevB.13.5188Search in Google Scholar

Mookherjee, M., and Bezacier, L. (2012) The low velocity later in subduction zone: structure and elasticity of glaucophane at high pressures. Physics of the Earth and Planetary Interiors, 208-209, 50–58.10.1016/j.pepi.2012.07.007Search in Google Scholar

Mookherjee, M., and Mainprice, D. (2014) Unusually large shear wave anisotropy for chlorite in subduction zone settings. Geophysical Research Letters, 41, 1506–1513.10.1002/2014GL059334Search in Google Scholar

Mookherjee, M., Mainprice, D., Maheshwari, K., Heinonen, O., Patel, D., and Hariharan, A. (2016) Pressure induced elastic softening in framework aluminosilicate-albite (NaAlSi3O8). Scientific Reports, 6, 34815.10.1038/srep34815Search in Google Scholar

Mookherjee, M., Panero, W., Wunder, B., and Jahn, S. (2019) Anomalous elastic behavior of phase Egg, AlSiO3(OH), at high pressures. American Mineralogist, 104, 130–139.10.2138/am-2019-6694Search in Google Scholar

Nestola, F., Pasqual, D., Welch, M.D., and Oberti, R. (2012) The effects of composition upon the high-pressure behaviour of amphiboles: compression of gedrite to 7 GPa and a comparison with anthophyllite and proto-amphibole. Mineralogical Magazine, 76, 987–995.10.1180/minmag.2012.076.4.14Search in Google Scholar

Nye, J.F. (1985) Physical Properties of Crystals. Oxford University Press, Clarendon.Search in Google Scholar

Oganov, A.R., Brodholt, J., and Price, G.D. (2000) Comparative study of quasiharmonic lattice dynamics, molecular dynamics and Debye model in application to MgSiO3 perovskite. Physics of the Earth and Planetary Interiors, 122, 277–288.10.1016/S0031-9201(00)00197-7Search in Google Scholar

Oganov, A.R., Brodholt, J., and Price, G.D. (2002) Ab initio theory of phase transitions and thermoelasticity of minerals. In C.M. Gramaccioli, Ed., Energy Modelling in Minerals, 4, p. 83–170. EMU Notes in Mineralogy, Eötvös University Press, Budapest.10.1180/EMU-notes.4.4Search in Google Scholar

Ohno, I., Harada, K., and Yoshitomi, C. (2006) Temperature variation of elastic constants of quartz across the α-β transition. Physics and Chemistry of Minerals, 33, 1–9.10.1007/s00269-005-0008-3Search in Google Scholar

Peng, Y., Mookherjee, M., Hermann, A., Bajgain, S., Liu, S., and Wunder, B. (2017) Elasticity of phase-Pi (Al3Si2O7(OH)3)—A hydrous aluminosilicate phase. Physics of the Earth and Planetary Interiors, 269, 91–97.10.1016/j.pepi.2017.05.016Search in Google Scholar

Perdew, J.P., and Wang, Y. (1986) Accurate and simple density functional for the electronic exchange energy: generalized gradient approximation. Physical Review B, 33, 8800–8802.10.1103/PhysRevB.33.8800Search in Google Scholar PubMed

Perdew, J.P., Chevary, J.A., Vosko, S.H., Jackson, K.A., Pederson, M.R., Singh, D.J., and Fiolhais, C. (1992) Atoms, molecules, solids, and surfaces: applications of the generalized gradient approximation for exchange and correlation. Physical Review B, 46, 6671–6687.10.1103/PhysRevB.46.6671Search in Google Scholar PubMed

Price, G.D., Parker, S.C., and Leslie, M. (1987) The lattice dynamics and thermodynamics of the Mg2SiO4 polymorphs. Physics and Chemistry of Minerals, 15, 181–190.10.1007/BF00308782Search in Google Scholar

Rychert, C.A., and Shearer, P.M. (2009) A global view of the lithosphere-astheno-sphere boundary. Science, 324, 495–498.10.1126/science.1169754Search in Google Scholar PubMed

Rychert, C.A., Fischer, K.M., and Rondenay, S. (2005) A sharp lithosphere–astheno-sphere boundary imaged beneath eastern North America. Nature, 436, 542–545.10.1038/nature03904Search in Google Scholar PubMed

Saha, S., Dasgupta, R., and Tsuno, K. (2018) High pressure phase relations of a depleted peridotite fluxed by CO2-H2O-bearing siliceous melts and the origin of mid-lithospheric discontinuity. Geochemistry, Geophysics, Geosystems, 19, 595–620.10.1002/2017GC007233Search in Google Scholar

Savage, B., and Silver, P.G. (2008) Evidence for a compositional boundary within the lithospheric mantle beneath the Kalahari craton from S receiver functions. Earth and Planetary Science Letters, 272, 600–609.10.1016/j.epsl.2008.05.026Search in Google Scholar

Selway, K., Ford, H., and Kelemen, P. (2015) The seismic mid lithosphere discontinuity. Earth and Planetary Science Letters, 414, 45–57.10.1016/j.epsl.2014.12.029Search in Google Scholar

Sodoudi, F., Yuan, X., Kind, R., Lebedev, S., Adam, J.M.C., Kästle, E., and Tilmann, F. (2013) Seismic evidence for stratification in composition and anisotropic fabric within the thick lithosphere of Kalahari Craton. Geochemistry, Geophysics, Geosystems, 14, 5393–5412.10.1002/2013GC004955Search in Google Scholar

Spear, F.S. (1993) Metamorphic phase equilibria and pressure-temperature-time paths, 799 p. Mineralogical Society of America Monograph, Chantilly, Virginia.Search in Google Scholar

Stixrude, L., Cohen, R.E., and Hemley, R.J. (1998) Theory of minerals at high pressure. Reviews of Mineralogy, 37, 639–670.Search in Google Scholar

Sueno, S., Cameron, M., Papike, J.J., and Prewitt, C.T. (1973) The high temperature crystal chemistry of tremolite. American Mineralogist, 58, 649–664.Search in Google Scholar

Tatham, D.J., Lloyd, G.E., Butler, R.W.H., and Casey, M. (2008) Amphibole and lower crustal seismic properties. Earth and Planetary Sciences Letters, 267, 118–128.10.1016/j.epsl.2007.11.042Search in Google Scholar

Togo, A., and Tanaka, I. (2015) First principles phonon calculations in material science. Scripta Materiala, 108, 1–5.10.1016/j.scriptamat.2015.07.021Search in Google Scholar

Trommsdorff, V. (1970) Mineral paragenesis in magnesian rocks of the progressive metamorphic series of the central Alps. Naturwissenschaften, 57, 304–305.10.1007/BF00609380Search in Google Scholar

Tulk, C.A., Gagnon, R.E., Kiefte, H., and Clouter, M.J. (1994) Elastic constants of ice III by Brillouin spectroscopy. Journal of Chemical Physics, 101, 2350–2354.10.1063/1.467675Search in Google Scholar

Tutti, F., Dubrovinsky, L.S., and Nygren, M. (2000) High-temperature study and thermal expansion of phlogopite. Physics and Chemistry of Minerals, 27, 599–603.10.1007/s002690000098Search in Google Scholar

Ulian, G., and Valdrè, G. (2015) Density functional investigation of the thermophysical and thermochemical properties of talc [Mg3Si4O10(OH)2]. Physics and Chemistry of Minerals, 42, 151–162.10.1007/s00269-014-0708-7Search in Google Scholar

Ulian, G., Tosoni, S., and Valdrè, G. (2014) The compressional behaviour and the mechanical properties of talc [Mg3Si4O10(OH)2]: a density functional theory investigation. Physics and Chemistry of Minerals, 41, 639–650.10.1007/s00269-014-0677-xSearch in Google Scholar

Weaver, J.S. (1976) Application of finite strain theory to non-cubic crystals. Journal of Physics and Chemistry of Solids, 37, 711–718.10.1016/0022-3697(76)90009-3Search in Google Scholar

Welch, M.D., Gatta, G.D., and Rotiroti, N. (2011) The high-pressure behavior of orthorhombic amphiboles. American Mineralogist, 96, 623–630.10.2138/am.2011.3670Search in Google Scholar

Wentzcovitch, R.M., and Stixrude, L. (1997) Crystal chemistry of forsterite: A first-principles study. American Mineralogist, 82, 663–671.10.2138/am-1997-7-802Search in Google Scholar

Wentzcovitch, R.M., Karki, B.B., Cococcioni, M., and De Gironcoli, S. (2004) Thermoelastic properties of MgSiO3-perovskite: Insights on the nature of the Earth’s lower mantle. Physical Review Letters, 92, 018501.10.1103/PhysRevLett.92.018501Search in Google Scholar PubMed

Winter, J.D. (2010) Principles of Igneous and Metamorphic Petrology. Prentice Hall, New York.Search in Google Scholar

Wölbern, I., Rümpker, G., Link, K., and Sodoudi, F. (2012) Melt infiltration of the lower lithosphere beneath the Tanzania craton and the Albertine rift inferred from S receiver functions. Geochemistry, Geophysics, Geosystems, 13, Q0AK08, doi:10.1029/2012GC004167.10.1029/2012GC004167Search in Google Scholar

Yang, H., and Evans, B.W. (1996) X‑ray structure refinements of tremolite at 140 and 295 K: Crystal chemistry and petrologic implications. American Mineralogist, 81, 1117–1125.10.2138/am-1996-9-1009Search in Google Scholar

Yang, H., Hazen, R.M., Prewitt, C.T., Finger, L.W., Lu, R., and Hemley, R.J. (1998) High-pressure single-crystal X‑ray diffraction and infrared spectroscopic studies of the C2/m-P21/m phase transition in cummingtonite. American Mineralogist, 83, 288–299.10.2138/am-1998-3-412Search in Google Scholar

Yuan, H., and Romanowicz, B. (2010) Lithospheric layering in the North American craton. Nature, 466, 1063–1068. doi:10.1038/nature0933210.1038/nature09332Search in Google Scholar PubMed

Zanazzi, P.F., Nestola, F., and Pasqual, D. (2010) Compressibility of protoamphibole: A high-pressure single-crystal diffraction study of protomangano-ferro-anthophyllite. American Mineralogist, 95, 1758–1764.10.2138/am.2010.3565Search in Google Scholar

Zha, C.S., Mao, H.K., and Hemley, R.J. (2000) Elasticity of MgO and a primary pressure scale to 55 GPa. Proceedings of National Academy of Sciences, 97, 13494–13499.10.1073/pnas.240466697Search in Google Scholar PubMed PubMed Central

Zhang, L., Ahsbahs, H., Kutoglu, A., and Hafner, S.S. (1992) Compressibility of grunerite. American Mineralogist, 77, 480–483.Search in Google Scholar

Zhao, Y., Von Dreele, R.B., Zhang, J.Z., and Weidner, D.J. (1998) Thermoelastic equation of state of monoclinic pyroxene: CaMgSi2O6 diopside. The Review of High Pressure Science and Technology, 7, 25–27.10.4131/jshpreview.7.25Search in Google Scholar

Received: 2019-07-02
Accepted: 2020-01-11
Published Online: 2020-06-04
Published in Print: 2020-06-25

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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  18. Book Review
https://doi.org/10.2138/am-2020-7189
Keywords for this article
Tremolite; equation of state; elasticity; Mid-Lithospheric Discontinuity (MLD)

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  10. Thermoelasticity of tremolite amphibole: Geophysical implications
  11. Stability of fcc phase FeH to 137 GPa
  12. Partition coefficients of trace elements between carbonates and melt and suprasolidus phase relation of Ca-Mg-carbonates at 6 GPa
  13. Systematics of H2 and H2O evolved from chlorites during oxidative dehydrogenation
  14. Texture and geochemistry of multi-stage hydrothermal scheelite in the Tongshankou porphyry-skarn Cu-Mo(-W) deposit, eastern China: Implications for ore-forming process and fluid metasomatism
  15. EXCALIBR to EXCELIBR and the optical orientation of minerals: Correcting the optical orientation of clinoamphiboles
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