Structural and Magnetic Phase Transitions in MineralsS. Ghose, J.M.D. Coey, E. Salje This volume in Advances in Physical Geochemistry presents the latest synthesis of theory and experimental data pertaining to structural and magnetic phase transitions in a variety of geochemically important minerals. The book is the first to cover the impact of this rapidly progressing area of solid state physics in earth sciences and reflects its growing significance for mineralogy and petrology. |
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Page v
... coupling between two temperature - dependent order parameters , one due to Al - Si ordering and the other due to displacive distortions . G. Dolino ( Chapter 2 ) applies the Landau Theory toward an understanding of the incommensurate ...
... coupling between two temperature - dependent order parameters , one due to Al - Si ordering and the other due to displacive distortions . G. Dolino ( Chapter 2 ) applies the Landau Theory toward an understanding of the incommensurate ...
Page 3
... coupling ( Imry , 1975 ; Gufan and Larin , 1980 ; Salje and Devarajan , 1985 ) . In feldspars , symmetry - breaking ... coupling between different ordering mechanisms is essential for the under- standing of the thermodynamic behavior of ...
... coupling ( Imry , 1975 ; Gufan and Larin , 1980 ; Salje and Devarajan , 1985 ) . In feldspars , symmetry - breaking ... coupling between different ordering mechanisms is essential for the under- standing of the thermodynamic behavior of ...
Page 4
... coupling is called “ bilinear ” and occurs only if the irreducible representations of the two order parameters are identi- cal . The thermodynamic equilibrium of Na - feldspar is described by ƏɅFtot / ǝQ = 0 JAFtot / aQod = 0 leading to ...
... coupling is called “ bilinear ” and occurs only if the irreducible representations of the two order parameters are identi- cal . The thermodynamic equilibrium of Na - feldspar is described by ƏɅFtot / ǝQ = 0 JAFtot / aQod = 0 leading to ...
Page 5
... coupling between Qod and Qz is not allowed . ( Their respective active representations are not identical . ) However , the following three coupling mechanisms are consistent with the symmetry reductions of Qod and Qz : 1. Strain ...
... coupling between Qod and Qz is not allowed . ( Their respective active representations are not identical . ) However , the following three coupling mechanisms are consistent with the symmetry reductions of Qod and Qz : 1. Strain ...
Page 6
... coupling , and the renormalization of the critical temperature due to Na - Ca exchange . The expression given by Saje ( 1987 ) is - AFtot = ¦ œ ( T − ( Tc + Mab ) ) Q2 + ¦ BegfQ * + { } 2 4 CQ6 Σ Cik X ¿ xk + Σ e¡¤¿ Qod + $ 12Q2Qod + + ...
... coupling , and the renormalization of the critical temperature due to Na - Ca exchange . The expression given by Saje ( 1987 ) is - AFtot = ¦ œ ( T − ( Tc + Mab ) ) Q2 + ¦ BegfQ * + { } 2 4 CQ6 Σ Cik X ¿ xk + Σ e¡¤¿ Qod + $ 12Q2Qod + + ...
Contents
1 | |
17 | |
Phase Separation in Quadrilateral Pyroxenes and Olivines | 39 |
Multicritical Phase Relations in Minerals | 60 |
Equation of State and Possible Critical Phase Transitions | 91 |
HighSpin to LowSpin Transition of IronII Oxides | 113 |
Molecular Dynamics Studies of Polymorphism of SiO2 | 129 |
Charge Localization and Associated Crystallographic and Magnetic | 141 |
Magnetic Phase Transitions in Silicate Minerals | 162 |
Magnetic Phase Transition in Olivines M2SiO4 | 185 |
Index 241 | 240 |
Other editions - View all
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 cation distributions Chem chemical cluster Coey components composition coupling crystal field crystal structure crystallographic cubic decreases density disordered Dolino Earth Planet electron equilibrium experimental Fe² Fe2+ Fe2SiO4 Fe³ Fe3+ feldspar ferromagnetic free energy Geophys Ghose grunerite high-spin ilvaite inc phase incommensurate phase interactions ions Jeanloz Landau theory lattice layers Lindsley long-range order low temperatures lower mantle LS transition M2 sites magnetic order magnetic properties magnetic structure Matsui measurements Mineral Mn2SiO4 Mössbauer neutron diffraction observed octahedral olivines orbital order parameter orthopyroxene orthorhombic oxides pairs perovskite phase diagrams phase transition Phys polytypes polytypic phases predicted pyroxenes quartz Salje sample shown in Fig silicates SiO2 SiO4 solid solutions space group spin glass ẞ phase susceptibility symmetry temperature dependence thermal expansion thermodynamic tion transformation X-ray zero pressure