## Structural and magnetic phase transitions in mineralsThis 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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Results 1-3 of 9

Page 94

where f/(X) is the static

energy, and V is the volume. ... E [ ±Av,(X) + kT ln(l -exp(-fcv,(X)/*D)] (2) where h

is Planck's

.

where f/(X) is the static

**lattice**energy, Fth is the thermal contribution to the freeenergy, and V is the volume. ... E [ ±Av,(X) + kT ln(l -exp(-fcv,(X)/*D)] (2) where h

is Planck's

**constant**, k is Boltzmann's**constant**, and the v, are phonon frequencies.

Page 99

Computed critical

1500 ± 150 0.10 ± 0.02 0.18 ± 0.03 28 + 2 25 ... Because the quasiharmonic

not ...

Computed critical

**parameters**P(GPa) 7; (K) P dTcldP (K/GPa) 0.0 950 ± 50 30.01500 ± 150 0.10 ± 0.02 0.18 ± 0.03 28 + 2 25 ... Because the quasiharmonic

**lattice**becomes unstable as the critical transformations are approached, it wasnot ...

Page 232

The temperature dependence of the elastic excess energy, as obtained from the

observed temperature evolution of the

assumption of temperature-independent elastic constants, is shown in Fig. 10. It

follows ...

The temperature dependence of the elastic excess energy, as obtained from the

observed temperature evolution of the

**lattice parameters**and under theassumption of temperature-independent elastic constants, is shown in Fig. 10. It

follows ...

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### 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 |

### Common terms and phrases

a-P transition anisotropy ANNNI model antiferromagnetic approximation atoms axis Bachheimer Ballet behavior berlinite Bukowinski calculated canting Chem chemical cluster Coey components composition coupling crystal field crystal structure crystallographic cubic Davidson decreases density disordered Dolino Earth Planet electron entropy equilibrium etal experimental Fe2+ and Fe3+ feldspar ferromagnetic free energy Geophys Ghose high pressure high-spin ilvaite inc phase incommensurate phase interactions Jeanloz Landau theory layers Lindsley long-range order low temperatures low-spin lower mantle LS transition M2 sites magnetic order Magnetic Phase Transitions magnetic properties magnetic structure Matsui measurements MgSi03 perovskite Mineral Mossbauer neutron diffraction observed octahedral olivines orbital order parameter orthopyroxene orthorhombic oxides pairs PbI2 perovskite phase diagrams phase of quartz phase transition Phys polytypic polytypic phases predicted pyroxenes quartz Salje sample shown in Fig solid solutions space group spin glass susceptibility symmetry temperature dependence thermal expansion thermodynamic tion transformation X-ray zero pressure