Structural and Magnetic Phase Transitions in Minerals |
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Page 202
... magnetic ion i is calculated . The part coming from the interaction with the other ions ( exchange and dipolar ) has the form : Σ MSS , j #i α , β , j Using the mean - field approximation , we replace the operators S ( ji ) by their ...
... magnetic ion i is calculated . The part coming from the interaction with the other ions ( exchange and dipolar ) has the form : Σ MSS , j #i α , β , j Using the mean - field approximation , we replace the operators S ( ji ) by their ...
Page 208
... ions are surrounded by a distorted octahedron , properly speaking by a trigonal antiprism , and the B ions by 12 ... magnetic struc- ture of garnets containing one species of magnetic ions ( 3d or 4f ) on one site only was mostly ...
... ions are surrounded by a distorted octahedron , properly speaking by a trigonal antiprism , and the B ions by 12 ... magnetic struc- ture of garnets containing one species of magnetic ions ( 3d or 4f ) on one site only was mostly ...
Page 209
... magnetic ions or the fluc- tuation of the exchange interactions . Frustration means that not all of the inter- ionic magnetic interactions can be satisfied simultaneously . This results in the collective magnetic state having a high ...
... magnetic ions or the fluc- tuation of the exchange interactions . Frustration means that not all of the inter- ionic magnetic interactions can be satisfied simultaneously . This results in the collective magnetic state having a high ...
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