引文
[1]Oganov A R,Ono S.Theoretical and experimentalevidence for a post-perovskite phase of MgSiO3inEarth s D″layer[J].Nature,2004,430:445-448.
[2]Murakami M,Hirose K,Kawamura K,et al.Post-perovskite phase transition in MgSiO3[J].Science,2004,304:855-858.
[3]Mao W L,Shen G,Prakapenka V B,et al.Ferromagnesian post-perovskite silicates in the D″layerof the Earth[J].Proc Nat Acad Sci USA,2004,101:15 867-15 869.
[4]Shim S-H,Duffy T S,Jeanloz R,et al.Stability andcrystal structure of MgSiO3perovskite to the core-mantle boundary[J].Geophys Res Lett,2004,31.L10603.
[5]Caracas R,Cohen R E.Effect of chemistry on thestability and elasticity of the perovskite and post-perovskite phases in the MgSiO3-FeSiO3-Al2O3systemand implications for the lowermost mantle[J].Geophys Res Lett,2005,32.L16310.
[6]Hernlund J W,Thomas C,Tackley P J.A doubling ofthe post-perovskite phase boundary and structure of theEarth s lowermost mantle[J].Nature,2005,434:882-886.
[7]Murakami M,Hirose K,Sata N,et al.Post-perovskite phase transition and mineral chemistry in thepyrolitic lowermost mantle[J].Geophys Res Lett,2005,32.L03304.
[8]Tsuchiya T,Tsuchiya J,Umemoto K,et al.Phasetransition in MgSiO3perovskite in the Earth s lowermantle[J].Earth Planet Sci Lett,2004,224:241-248.
[9]Lay T,Helmberger D V.A shear velocitydiscontinuity in the lower mantle[J].Geophys ResLett,1983,10:63-66.
[10]Lay T,Williams Q,Garnero E J.The core-mantleboundary layer and deep Earth dynamics[J].Nature,1998,392:461-468.
[11]Panning M,Romanowicz B.Inferences on flow at thebase of Earth s mantle based on seismic anisotropy[J].Science,2004,303:351-353.
[12]Iitaka T,Hirose K,Kawamura K,et al.The elasticityof the MgSiO3post-perovskite phase in the Earth slowermost mantle[J].Nature,2004,430:442-445.
[13]Tsuchiya T,Tsuchiya J,Umemoto K,et al.Elasticityof post-perovskite MgSiO3[J].Geophys Res Lett,2004,31.L14603.
[14]Wentzcovitch R A,Tsuchiya T,Tsuchiya J.MgSiO3post-perovskite at D″conditions[J].Proc Nat AcadSci USA,2006,103:543-546.
[15]Oganov A R,Martonak R,Laio A,et al.Anisotropyof Earth s D″layer and stacking faults in the MgSiO3post-perovskite phase[J].Nature,2005,438:1 142-1 144.
[16]Kresse G,Furthmüller J.Efficiency of ab initio total-energy calculations for metals and semiconductors usinga plane-wave basis set[J].Comp Mater Sci,1996,6:15-50.
[17]Bl chl P E.Projector augmented-wave method[J].Phys Rev B,1994,50:17 953-17 979.
[18]Kresse G,Joubert D.From ultrasoft pseudopotentialsto the projector augmented-wave method[J].PhysRev B,59,1999:1 758-1 775.
[19]Perdew J P,Burke K,Ernzerhof M.Generalizedgradient approximation made simple[J].Phys RevLett,1996,77:3 865-3 868.
[20]Monkhorst H J,Pack J D.Special points for Brillouin-zone integrations[J].Phys Rev B,1976,13:5 188-5 192.
[21]Karki B B,Stixrude L,Clark S J,et al.Structure andelasticity of MgO at high pressure[J].Am Mineral,1997,82:52-61.
[22]Oganov A R,Brodholt J P,Price G D.Ab initioelasticity and thermal equation of state of MgSiO3Perovskite[J].Earth Planet Sci Lett,2001,184:555-560.
[23]Karki B B,Stixrude L,Clark S J,et al.Elasticproperties of orthorhombic MgSiO3perovskite at lowermantle pressures[J].Am Mineral,1997,82:635-638.
[24]Ross N L,Hazen R M.Single crystal X-ray diffractionstudy of MgSiO3perovskite from 77 to 400 K[J].PhysChem Miner,1989,16:415-420.
[25]Yeganeh-Haeri A.Synthesis and re-investigation of theelastic properties of single-crystal magnesium silicateperovskite[J].Phys Earth Planet Inter,1994,87:111-121.
[26]Musgrave M J P.Crystal Acoustics[M].SanFrancisco:Holden-Day,1970:288.
[27]Montagner J P,Nataf H C.A simple method forinverting the azimuthal anisotropy of surface waves[J].J Geophys Res,1986,91:511-520.
[28]Love A E H.A Treatise on the Mathematical Theoryof Elasticity[M].4th ed.Cambridge:CambridgeUniversity Press,1927:1-643.
[29]Merkel S,Kubo A,Miyagi L,et al.Plasticdeformation of MgGeO3post-perovskite at lowermantle pressures[J].Science,2006,311:644-646.
[30]Karato Shun-ichiro.Some remarks on the origin ofseismic anisotropy in the D″layer[J].Earth PlanetsSpace,1998,50:1 019-1 028.