Structural and Magnetic Phase Transitions in Minerals |
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Page 94
... energy , Fth is the thermal contribution to the free energy , and V is the volume . The thermal contribution to the free energy is calcu- lated in the quasiharmonic approximation Fth ( T , X ) = Σ [ 1⁄2hv ; ( X ) + kT ln ( 1 —exp ( −hv ...
... energy , Fth is the thermal contribution to the free energy , and V is the volume . The thermal contribution to the free energy is calcu- lated in the quasiharmonic approximation Fth ( T , X ) = Σ [ 1⁄2hv ; ( X ) + kT ln ( 1 —exp ( −hv ...
Page 114
... energy Uex . The state with the maximum spin will have the most parallel electrons and , hence , the greatest exchange stabilization energy . Hund's rule can break down , however , if the exchange energy can be overcome by a ...
... energy Uex . The state with the maximum spin will have the most parallel electrons and , hence , the greatest exchange stabilization energy . Hund's rule can break down , however , if the exchange energy can be overcome by a ...
Page 117
... energy of the HS - LS transition is AG AU - TAS + PAV = To determine the PT curve for the transition we need to know the change in internal energy ( AU ) , entropy ( AS ) , and volume ( AV ) . To the extent that the Fe2 + cations in an ...
... energy of the HS - LS transition is AG AU - TAS + PAV = To determine the PT curve for the transition we need to know the change in internal energy ( AU ) , entropy ( AS ) , and volume ( AV ) . To the extent that the Fe2 + cations in an ...
Contents
Incommensurate Phase Transitions in Quartz and Berlinite | 17 |
Phase Separation in Quadrilateral Pyroxenes and Olivines | 39 |
Multicritical Phase Relations in Minerals | 60 |
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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