Abstract
Diopside (\(CaMgSi_{2}O_{6}\)), the Ca- and Mg-rich clinopyroxene is an important mineral in the Earth’s upper mantle and subducted lithospheric plate. Here, we report the results of high-pressure single-crystal X-ray diffraction experiments conducted on a natural aluminous iron-bearing diopside and a natural, nearly end-member diopside, up to 50 GPa in diamond anvil cell. Density functional theory calculation results on end-member diopside are also reported. Unit cell parameters a, b, c, \(\beta\), V, as well as bond lengths of diopside are reported and compared with other clinopyroxenes. Bulk modulus and its pressure derivative of the two diopside samples are determined using third-order Birch–Murnaghan equation of state. The density of the two diopside samples is calculated under cold subducting slab conditions and is compared with the seismic models. Along the cold slab geotherm, aluminous iron-bearing diopside has higher density than end-member diopside. In the upper mantle, eclogite with aluminous iron-bearing diopside is denser than eclogite with end-member diopside, and, therefore, provides larger slab pulling force. At the bottom of the transition zone and the top of the lower mantle, eclogite with aluminous iron-bearing diopside, though higher in density than the end-member diopside, is still less dense than the surrounding mantle and could contribute to the slab stagnation.
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References
Akaogi M, Yano M, Tejima Y, Iijima M, Kojitani H (2004) High-pressure transitions of diopside and wollastonite: phase equilibria and thermochemistry of \(\text{ CaMgSi}_{{2}}\text{O}_{{6}}\), \(\text{ CaSiO}_{{3}}\) and \(\text{ CaSi}_{{2}}\text{O}_{{5}}\)-\(\text{CaTiSiO}_{{5}}\) system. Phys Earth Planet Inter 143–144:145–156
Anderson DL, Bass JD (1984) Mineralogy and composition of the upper mantle. Geophys Res Lett 11(7):637–640
Asahara Y, Ohtani E, Kondo T, Kubo T, Miyajima N, Nagase T, Fujino K, Yagi T, Kikegawa T (2005) Formation of metastable cubic-perovskite in high-pressure phase transformation of ca (mg, fe, al) \(\text{ Ca(Mg, Fe, Al)Si}_{{2}}\text{O}_{{6}}\). Am Mineral 90(2–3):457–462
Bass JD, Anderson DL (1984) Composition of the upper mantle: geophysical tests of two petrological models. Geophys Res Lett 11(3):229–232
Blöchl PE (1994) Projector augmented-wave method. Phys Rev B 50(24):17953
Cameron M, Papike J (1981) Structural and chemical variations in pyroxenes. Am Mineral 66(1–2):1–50
Canil D (1994) Stability of clinopyroxene at pressure-temperature conditions of the transition region. Phys Earth Planet Inter 86(1):25–34
Dera P, Finkelstein G, Duffy T, Downs R, Meng Y, Prakapenka V, Tkachev S (2013a) Metastable high-pressure transformations of orthoferrosilite \(\text{Fs}_{{82}}\). Phys Earth Planet Inter 221:15–21
Dera P, Zhuravlev K, Prakapenka V, Rivers M, Finkelstein G, Grubor-Urosevic O, Tschauner O, Clark S, Downs R (2013b) High pressure single-crystal micro X-ray diffraction analysis with GSE_ADA/RSV software. High Press Res 33(3):466–484
Dewaele A, Datchi F, Loubeyre P, Mezouar M (2008) High pressure-high temperature equations of state of neon and diamond. Phys Rev B 77(9):094106
Faccenda M, Dal Zilio L (2017) The role of solid-solid phase transitions in mantle convection. Lithos 268:198–224
Flemming RL, Terskikh V, Ye E (2015) Aluminum environments in synthetic Ca-tschermak clinopyroxene (CaAlAlSiO6) from rietveld refinement, 27Al NMR, and first-principles calculations. Am Mineral 100(10):2219–2230
Frost DJ (2008) The upper mantle and transition zone. Elements 4(3):171–176
Fukao Y, Obayashi M (2013) Subducted slabs stagnant above, penetrating through, and trapped below the 660 km discontinuity. J Geophys Res 118(11):5920–5938
Fukao Y, Obayashi M, Nakakuki T, Group DSP (2009) Stagnant slab: a review. Ann Rev Earth Planet Sci 37:19–46
Ganguly J, Freed AM, Saxena SK (2009) Density profiles of oceanic slabs and surrounding mantle: Integrated thermodynamic and thermal modeling, and implications for the fate of slabs at the 660 km discontinuity. Phys Earth Planet Inter 172(3):257–267
Green E, Holland T, Powell R (2007) An order-disorder model for omphacitic pyroxenes in the system jadeite-diopside-hedenbergite-acmite, with applications to eclogitic rocks. Am Mineral 92(7):1181–1189
Grossman L, Larimer JW (1974) Early chemical history of the solar system. Rev Geophys 12(1):71–101
Hazen RM, Downs RT (2000) High-temperature and high-pressure crystal chemistry, Reviews in mineralogy and geochemistry, vol 41. Mineralogical Society of America, Blacksburg
Hu Y, Dera P, Zhuravlev K (2015) Single-crystal diffraction and Raman spectroscopy of hedenbergite up to 33 GPa. Phys Chem Miner 42(7):595–608
Hu Y, Kiefer B, Bina CR, Zhang D, Dera PK (2017) High-pressure \(\gamma\)-CaMgSi2O6: Does penta-coordinated silicon exist in the earth’s mantle? Geophys Res Lett 44(22):11–340
Hu Y, Wu Z, Dera PK, Bina CR (2016) Thermodynamic and elastic properties of pyrope at high pressure and high temperature by first-principles calculations. J Geophys Res 121(9):6462–6476
Irifune T, Miyashita M, Inoue T, Ando J, Funakoshi K, Utsumi W (2000) High-pressure phase transformation in \(\text{ CaMgSi}_{{2}}\text{O}_{{6}}\) and implications for origin of ultra-deep diamond inclusions. Geophys Res Lett 27(21):3541–3544
Ita J, Stixrude L (1992) Petrology, elasticity, and composition of the mantle transition zone. J Geophys Res 97(B5):6849–6866
James G, Witten D, Hastie T, Tibshirani R (2013) An introduction to statistical learning, vol 112. Springer, Berlin
Kandelin J, Weidner DJ (1988) Elastic properties of hedenbergite. J Geophys Res 93(B2):1063–1072
Kim Y-H, Ming LC, Manghnani MH (1994) High-pressure phase transformations in a natural crystalline diopside and a synthetic \(\text{CaMgSi}_{{2}}\text{O}_{{6}}\) glass. Phys Earth Planet Inter 83(1):67–79
King S, Frost D, Rubie D (2015) Why cold slabs stagnate in the transition zone. Geology 43(3):231–234
Kresse G, Furthmüller J (1996a) Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput Mater Sci 6(1):15–50
Kresse G, Furthmüller J (1996b) Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys Rev B 54(16):11169
Li B, Neuville D (2010) Elasticity of diopside to 8 GPa and 1073 K and implications for the upper mantle. Phys Earth Planet Inter 183(34):398–403
Liu L-G (1979) The system enstatite-wollastonite at high pressures and temperatures, with emphasis on diopside. Phys Earth Planet Inter 19(3):P15–P18
Mao H, Xu J, Bell P (1986) Calibration of the ruby pressure gauge to 800 kbar under quasi-hydrostatic conditions. J Geophys Res 91(B5):4673–4676
Momma K, Izumi F (2011) Vesta 3 for three-dimensional visualization of crystal, volumetric and morphology data. J Appl Crystallogr 44(6):1272–1276
Nishi M, Kato T, Kubo T, Kikegawa T (2008) Survival of pyropic garnet in subducting plates. Phys Earth Planet Inter 170(3–4):274–280
Nishi M, Kubo T, Kato T, Tominaga A, Funakoshi K-I, Higo Y (2011) Exsolution kinetics of majoritic garnet from clinopyroxene in subducting oceanic crust. Phys Earth Planet Inter 189(1):47–55
Nishi M, Kubo T, Ohfuji H, Kato T, Nishihara Y, Irifune T (2013) Slow Si-Al interdiffusion in garnet and stagnation of subducting slabs. Earth Planet Sci Lett 361:44–49
Oguri K, Funamori N, Sakai F, Kondo T, Uchida T, Yagi T (1997) High-pressure and high-temperature phase relations in diopside \(\text{CaMgSi}_{{2}}\text{O}_{{6}}\). Phys Earth Planet Inter 104:363–370
Pedregosa F, Varoquaux G, Gramfort A, Michel V, Thirion B, Grisel O, Blondel M, Prettenhofer P, Weiss R, Dubourg V, Vanderplas J, Passos A, Cournapeau D, Brucher M, Perrot M, Duchesnay E (2011) Scikit-learn: machine learning in python. J Mach Learn Res 12:2825–2830
Perdew JP, Zunger A (1981) Self-interaction correction to density-functional approximations for many-electron systems. Phys Rev B 23(10):5048
Plank T, Langmuir CH (1998) The chemical composition of subducting sediment and its consequences for the crust and mantle. Chem Geol 145(3):325–394
Plonka A, Dera P, Irmen P, Rivers M, Ehm L, Parise J (2012) \(\beta\)-diopside, a new ultrahigh-pressure polymorph of \(\text{CaMgSi}_{{2}}\text{O}_{{6}}\) with six-coordinated silicon. Geophys Res Lett 39(24)
Poli S (1993) The amphibolite-eclogite transformation; an experimental study on basalt. Am J Sci 293(10):1061–1107
Poli S, Schmidt MW (2002) Petrology of subducted slabs. Ann Rev Earth Planet Sci 30(1):207–235
Rigden SM, Ahrens TJ, Stolper E (1989) High-pressure equation of state of molten anorthite and diopside. J Geophys Res 94(B7):9508–9522
Ringwood A (1967) The pyroxene-garnet transformation in the earth’s mantle. Earth Planet Sci Lett 2(3):255–263
Ringwood AE (1975) Composition and petrology of the earth’s mantle. MacGraw-Hill, New York, p 618
Ringwood AE (1982) Phase transformations and differentiation in subducted lithosphere: implications for mantle dynamics, basalt petrogenesis, and crustal evolution. J Geol 90(6):611–643
Rivers M, Prakapenka VB, Kubo A, Pullins C, Holl CM, Jacobsen SD (2008) The COMPRES/GSECARS gas-loading system for diamond anvil cells at the advanced photon source. High Press Res 28(3):273–292
Rubin AE (1997) Mineralogy of meteorite groups. Meteorit Planet Sci 32(2):231–247
Sang L, Bass JD (2014) Single-crystal elasticity of diopside to 14 GPa by Brillouin scattering. Phys Earth Planet Inter 228:75–79
Sheldrick G (2008) A short history of shelx. Acta Crystallogr Sect A 64(1):112–122
Subramanian A (1962) Pyroxenes and garnets from charnockites and associated granulites. Bulletin of the Geological Society of America 21–36
Svendsen B, Ahrens TJ (1983) Dynamic compression of diopside and salite to 200 GPa. Geophys Res Lett 10(7):501–504
Svendsen B, Ahrens TJ (1990) Shock-induced temperatures of \(\text{CaMgSi}_{{2}}\text{O}_{{6}}\). J Geophys Res 95(B5):6943–6953
Thompson R, Downs R (2008) The crystal structure of diopside at pressure to 10 GPa. Am Mineral 93:177–186
Tomioka N, Kimura M (2003) The breakdown of diopside to Ca-rich majorite and glass in a shocked H chondrite. Earth Planet Sci Lett 208(3–4):271–278
Van Mierlo W, Langenhorst F, Frost D, Rubie D (2013) Stagnation of subducting slabs in the transition zone due to slow diffusion in majoritic garnet. Nat Geosci 6(5):400
Walker AM (2012) The effect of pressure on the elastic properties and seismic anisotropy of diopside and jadeite from atomic scale simulation. Phys Earth Planet Inter 192:81–89
Walker AM, Tyer RP, Bruin RP, Dove MT (2008) The compressibility and high pressure structure of diopside from first principles simulation. Phys Chem Miner 35(7):359–366
Zhang A, Hsu W, Wang R, Ding M (2006) Pyroxene polymorphs in melt veins of the heavily shocked Sixiangkou L6 chondrite. Euro J Mineral 18(6):719–726
Zhang L, Ahsbahs H, Hafner SS, Kutoglu A (1997) Single-crystal compression and crystal structure of clinopyroxene up to 10 GPa. Am Mineral 82:245–258
Zhao Y (1998) Thermoelastic equation of state of monoclinic pyroxene: CaMgSi2O6 diopside. Rev High Press Sci Technol 7:25–27
Acknowledgements
The project was supported by the National Science Foundation Division of Earth Sciences Geophysics grant 1722969 to P.D. Development of the ATREX software, used for experimental data analysis was supported by NSF EAR GeoInformatics grant 1440005. JSZ is supported by the National Science Foundation (NSF) under Grant EAR 1646527 (JSZ) and the start-up fund from UNM (JSZ). The experimental part of this work was performed at GeoSoilEnviroCARS (Sector 13), Advanced Photon Source (APS), Argonne National Laboratory. GeoSoilEnviroCARS is supported by the National Science Foundation-Earth Sciences (EAR-1128799) and Department of Energy-Geosciences (DE-FG02-94ER14466). Use of the COMPRES-GSECARS gas loading system was supported by COMPRES under NSF Cooperative Agreement EAR-1661511. Use of the Advanced Photon Source was supported by the US Department of Energy, Office of Science, Office of Basic Energy Sciences, under Contract No. DE-AC02-06CH11357. We would also like to thank Carnegie-DOE Alliance Center for support through Academic Partner subcontract to P.D. and Prof. T.S.Duffy at Princeton University for kindly providing the single crystal samples from the Harry Hess collection. B.K. would like to acknowledge computational resources that were made available by the National Science Foundation through XSEDE under grant number DMR TG-110093.
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Hu, Y., Kiefer, B., Plonka, A. et al. Compressional behavior of end-member and aluminous iron-bearing diopside at high pressure from single-crystal X-ray diffraction and first principles calculations. Phys Chem Minerals 46, 977–986 (2019). https://doi.org/10.1007/s00269-019-01056-8
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DOI: https://doi.org/10.1007/s00269-019-01056-8