Structural and Magnetic Phase Transitions in Minerals |
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Page 94
... phonon fre- quencies . The summation extends over all wave vectors k in the Brillouin zone and all phonon branches . The phonon frequencies were obtained from dynamical matrices evaluated on a mesh of k points . All force constants were ...
... phonon fre- quencies . The summation extends over all wave vectors k in the Brillouin zone and all phonon branches . The phonon frequencies were obtained from dynamical matrices evaluated on a mesh of k points . All force constants were ...
Page 96
... phonons associated with the coupled librations of the SiO , octahedra ( Wolf and Jeanloz , 1985 ) . A variety of structures can be produced by the " condensa- tion " of these modes . As demonstrated in Fig . 5 , the unstable phonon ...
... phonons associated with the coupled librations of the SiO , octahedra ( Wolf and Jeanloz , 1985 ) . A variety of structures can be produced by the " condensa- tion " of these modes . As demonstrated in Fig . 5 , the unstable phonon ...
Page 150
... phonon coupling , i.e. , an interaction between the polaron and the vibration of the two adjacent cations in the ... phonon interaction ( most likely a longitudinal optic phonon with the propagation vector along c * ) , the short Fe2 + ...
... phonon coupling , i.e. , an interaction between the polaron and the vibration of the two adjacent cations in the ... phonon interaction ( most likely a longitudinal optic phonon with the propagation vector along c * ) , the short Fe2 + ...
Contents
Incommensurate Phase Transitions in Quartz and Berlinite | 17 |
Phase Separation in Quadrilateral Pyroxenes and Olivines | 39 |
Multicritical Phase Relations in Minerals | 60 |
Copyright | |
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Other editions - View all
Structural and Magnetic Phase Transitions in Minerals S. Ghose,J.M.D. Coey,E. Salje Limited preview - 2012 |
Structural and Magnetic Phase Transitions in Minerals S. Ghose,J.M.D. Coey,E. Salje Snippet view - 1988 |
Structural and Magnetic Phase Transitions in Minerals S. Ghose,J.M.D. Coey,E. Salje Snippet view - 1988 |
Common terms and phrases
a-ẞ transition anisotropy ANNNI model antiferromagnetic approximation atoms axis Bachheimer Ballet behavior berlinite Bukowinski calculated canting Chem chemical Co₂SiO4 Coey components composition coupling crystal field crystal structure crystallographic Davidson decreases density Di-En disordered Dolino Earth Planet electron equilibrium experimental Fe² Fe2+ Fe2SiO4 Fe³ feldspar ferromagnetic free energy Geophys Ghose grunerite high pressure high-spin ilvaite inc phase incommensurate phase interactions ions Jeanloz Landau theory lattice layers Lindsley low temperatures lower mantle LS transition M2 sites magnetic order magnetic phase transitions magnetic properties magnetic structure Matsui measurements MgSiO3 Mineral Mn2SiO4 mode Mössbauer neutron diffraction observed octahedral olivines order parameter orthopyroxene orthorhombic pairs perovskite phase diagrams phase transition Phys polytypes polytypic phases predicted pyroxenes quartz Salje sample shown in Fig silicates SiO2 solid solution space group spin glass ẞ phase susceptibility symmetry temperature dependence thermal expansion thermodynamic tion transformation X-ray zero pressure