Structural and Magnetic Phase Transitions in Minerals |
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Page 19
... 0 , one gets a second - order transition at To . When B < 0 , one gets a first - order transition with thermal hysteresis between To and T1 = To + B2 / 4AC . Landau theory can describe both first- and second - order symmetry - breaking ...
... 0 , one gets a second - order transition at To . When B < 0 , one gets a first - order transition with thermal hysteresis between To and T1 = To + B2 / 4AC . Landau theory can describe both first- and second - order symmetry - breaking ...
Page 43
Subrata Ghose J. M. D. Coey, Ekhard K. H. Salje. Long - Range Order The equilibrium degree of long - range order is found by minimizing the free energy with respect to variations in order such that ƏG / ƏS ( or Gs ) = 0 , subject to Gss > 0 ...
Subrata Ghose J. M. D. Coey, Ekhard K. H. Salje. Long - Range Order The equilibrium degree of long - range order is found by minimizing the free energy with respect to variations in order such that ƏG / ƏS ( or Gs ) = 0 , subject to Gss > 0 ...
Page 151
... order . Both tunneling and hopping may be present in this region . In the high - temperature region ( > 405 K ) , the long - range order will be zero , the d electron will be delocalized , and polaron hopping will be the domi- nant ...
... order . Both tunneling and hopping may be present in this region . In the high - temperature region ( > 405 K ) , the long - range order will be zero , the d electron will be delocalized , and polaron hopping will be the domi- nant ...
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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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