Mantle Convection and Surface Expressions

140 Jacobsen, S.D., Reichmann, H.‐J., Spetzler, H.A., Mackwell, S.J., Smyth, J.R., et al. (2002). Structure and elasticity of single‐crystal (Mg,Fe)O and a new method of generating shear waves for gigahertz ultrasonic interferometry. J. Geophys. Res. – Solid Earth, 107, ECV 4‐1–ECV 4‐14. https://doi.org/10.1029/2001JB000490

141 Jacobsen, S.D., Spetzler, H., Reichmann, H.J., & Smyth, J.R. (2004). Shear waves in the diamond‐anvil cell reveal pressure‐induced instability in (Mg,Fe)O. Proc. Natl. Acad. Sci. U.S.A., 101, 5867–5871. https://doi.org/10.1073/pnas.0401564101

142 Jiang, F., Gwanmesia, G.D., Dyuzheva, T.I., & Duffy, T.S. (2009). Elasticity of stishovite and acoustic mode softening under high pressure by Brillouin scattering. Phys. Earth Planet. Inter., 172, 235–240. https://doi.org/10.1016/j.pepi.2008.09.017

143 Kaneshima, S., Helffrich, G. (2009). Lower mantle scattering profiles and fabric below Pacific subduction zones. Earth Planet. Sci. Lett., 282, 234–239. https://doi.org/10.1016/j.epsl.2009.03.024

144 Kantor, I., Prakapenka, V., Kantor, A., Dera, P., Kurnosov, A., Sinogeikin, S., et al. (2012). BX90: A new diamond anvil cell design for X‐ray diffraction and optical measurements. Rev. Sci. Instrum., 83, 125102. https://doi.org/10.1063/1.4768541

145 Karato, S. (2008). Deformation of Earth Materials: An Introduction to the Rheology of Solid Earth. Cambridge University Press, Cambridge. https://doi.org/10.1017/CBO9780511804892

146 Karato, S. (1993). Importance of anelasticity in the interpretation of seismic tomography. Geophys. Res. Lett., 20, 1623–1626. https://doi.org/10.1029/93GL01767

147 Karki, B.B., Stixrude, L., & Crain, J. (1997a). Ab initio elasticity of three high‐pressure polymorphs of silica. Geophys. Res. Lett., 24, 3269–3272. https://doi.org/10.1029/97GL53196

148 Karki, B.B., Stixrude, L., & Wentzcovitch, R.M. (2001a). High‐pressure elastic properties of major materials of Earth’s mantle from first principles. Rev. Geophys., 39, 507–534. https://doi.org/10.1029/2000RG000088

149 Karki, B.B., Warren, M.C., Stixrude, L., Ackland, G.J., & Crain, J. (1997b). Ab initio studies of high‐pressure structural transformations in silica. Phys. Rev. B, 55, 3465–3471. https://doi.org/10.1103/PhysRevB.55.3465

150 Karki, B.B., Wentzcovitch, R.M., de Gironcoli, S., & Baroni, S. (2000). High‐pressure lattice dynamics and thermoelasticity of MgO. Phys. Rev. B, 61, 8793–8800. https://doi.org/10.1103/PhysRevB.61.8793

151 Karki, B.B., Wentzcovitch, R.M., de Gironcoli, S., & Baroni, S. (2001b). First principles thermoelasticity of MgSiO3‐perovskite: consequences for the inferred properties of the lower mantle. Geophys. Res. Lett., 28, 2699–2702. https://doi.org/10.1029/2001GL012910

152 Karki, B.B., Wentzcovitch, R.M., de Gironcoli, S., & Baroni, S. (1999). First‐principles determination of elastic anisotropy and wave velocities of MgO at lower mantle conditions. Science, 286, 1705–1707. https://doi.org/10.1126/science.286.5445.1705

153 Kato, J., Hirose, K., Ozawa, H., & Ohishi, Y. (2013). High‐pressure experiments on phase transition boundaries between corundum, Rh2O3(II)‐and CaIrO3‐type structures in Al2O3. Am. Mineral., 98, 335–339. https://doi.org/10.2138/am.2013.4133

154 Katsura, T., Yoneda, A., Yamazaki, D., Yoshino, T., & Ito, E. (2010). Adiabatic temperature profile in the mantle. Phys. Earth Planet. Inter., 183, 212–218. https://doi.org/10.1016/j.pepi.2010.07.001

155 Kavner, A., & Nugent, C. (2008). Precise measurements of radial temperature gradients in the laser‐heated diamond anvil cell. Rev. Sci. Instrum., 79, 024902. https://doi.org/10.1063/1.2841173

156 Kawai, K., & Tsuchiya, T. (2015). Small shear modulus of cubic CaSiO3 perovskite. Geophys. Res. Lett., 42, 2718–2726. https://doi.org/10.1002/2015GL063446

157 Kennett, B.L.N., & Engdahl, E.R. (1991). Traveltimes for global earthquake location and phase identification. Geophys. J. Int., 105, 429–465. https://doi.org/10.1111/j.1365‐246X.1991.tb06724.x

158 Kennett, B.L.N., Engdahl, E.R., & Buland, R. (1995). Constraints on seismic velocities in the Earth from traveltimes. Geophys. J. Int., 122, 108–124. https://doi.org/10.1111/j.1365‐246X.1995.tb03540.x

159 Keppler, H., Kantor, I., & Dubrovinsky, L.S. (2007). Optical absorption spectra of ferropericlase to 84 GPa. Am. Mineral., 92, 433–436. https://doi.org/10.2138/am.2007.2454

160 Kesson, S.E., Gerald, J.D.F., & Shelley, J.M. (1998). Mineralogy and dynamics of a pyrolite lower mantle. Nature, 393, 252–255. https://doi.org/10.1038/30466

161 Kesson, S.E., Gerald, J.D.F., & Shelley, J.M.G. (1994). Mineral chemistry and density of subducted basaltic crust at lower‐mantle pressures. Nature, 372, 767–769. https://doi.org/10.1038/372767a0

162 Khan, A., Connolly, J.A.D., & Taylor, S.R. (2008). Inversion of seismic and geodetic data for the major element chemistry and temperature of the Earth’s mantle. J. Geophys. Res. – Solid Earth, 113, B09308. https://doi.org/10.1029/2007JB005239

163 Kobayashi, Y., Kondo, T., Ohtani, E., Hirao, N., Miyajima, N., Yagi, T., et al. (2005). Fe‐Mg partitioning between (Mg, Fe)SiO3 post‐perovskite, perovskite, and magnesiowüstite in the Earth’s lower mantle. Geophys. Res. Lett., 32, L19301. https://doi.org/10.1029/2005GL023257

164 Koelemeijer, P., Ritsema, J., Deuss, A., & van Heijst, H.‐J. (2016). SP12RTS: a degree‐12 model of shear‐ and compressional‐wave velocity for Earth’s mantle. Geophys. J. Int., 204, 1024–1039. https://doi.org/10.1093/gji/ggv481

165 Kohn, W., & Sham, L.J. (1965). Self‐consistent equations including exchange and correlation effects. Phys. Rev., 140, A1133–A1138. https://doi.org/10.1103/PhysRev.140.A1133

166 Komabayashi, T., Hirose, K., Nagaya, Y., Sugimura, E., & Ohishi, Y. (2010). High‐temperature compression of ferropericlase and the effect of temperature on iron spin transition. Earth Planet. Sci. Lett., 297, 691–699. https://doi.org/10.1016/j.epsl.2010.07.025

167 Komabayashi, T., & Omori, S. (2006). Internally consistent thermodynamic data set for dense hydrous magnesium silicates up to 35GPa, 1600°C: Implications for water circulation in the Earth’s deep mantle. Phys. Earth Planet. Inter., 156, 89–107. https://doi.org/10.1016/j.pepi.2006.02.002

168 Krebs, J.J., & Maisch, W.G. (1971). Exchange effects in the optical‐absorption spectrum of Fe3+ in Al2O3. Phys. Rev. B, 4, 757–769. https://doi.org/10.1103/PhysRevB.4.757

169 Kurnosov, A., Marquardt, H., Dubrovinsky, L., & Potapkin, V. (2019). A waveguide‐based flexible CO2‐laser heating system for diamond‐anvil cell applications. Comptes Rendus Geosci., 351, 280–285. https://doi.org/10.1016/j.crte.2018.09.008

170 Kurnosov, A., Marquardt, H., Frost, D.J., Ballaran, T.B., & Ziberna, L. (2017). Evidence for a Fe3+‐rich pyrolitic lowermantle from (Al,Fe)‐bearing bridgmanite elasticity data. Nature, 543, 543–546. https://doi.org/10.1038/nature21390

171 Labrosse, S., Hernlund, J.W., & Hirose, K. (2015). Fractional melting and freezing in the deep mantle and implications for the formation of a basal magma ocean. In Badro, J., Walter, M. (Eds.), The Early Earth: Accretion and Differentiation. American Geophysical Union, Washington, D.C., pp. 123–142. https://doi.org/10.1002/9781118860359.ch7

172 Lakshtanov, D.L., Sinogeikin, S.V., Litasov, K.D., Prakapenka, V.B., & Hellwig, H., Wang, J., et al. (2007). The post‐stishovite phase transition in hydrous alumina‐bearing SiO2 in the lower mantle of the earth. Proc. Natl. Acad. Sci. U.S.A., 104, 13588–13590. https://doi.org/10.1073/pnas.0706113104

173 Lehmann, G., Harder, H. (1970). Optical spectra of di‐ and trivalent iron in corundum. Am. Mineral., 55, 98–105.

174 Li, B., Kung, J., & Liebermann, R.C. (2004). Modern techniques in measuring elasticity of Earth materials at high pressure and high temperature using ultrasonic interferometry in conjunction with synchrotron X‐radiation in multi‐anvil apparatus. Phys. Earth Planet. Inter., 143–144, 559–574. https://doi.org/10.1016/j.pepi.2003.09.020