## 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 68

Page 45

We can successively improve an initial estimate of the unknown variables by

matrix to be inverted is a Jacobian matrix of derivatives of the chemical potential ...

We can successively improve an initial estimate of the unknown variables by

**calculating**the increments 15X'. 5Y1} 5Y"] = [J(A111/X1. Yj. Y")l" ' A111 where thematrix to be inverted is a Jacobian matrix of derivatives of the chemical potential ...

Page 118

The electronic structure of an (FeO,)'°' cluster as a function of Fe-O bond length

was

method. The theory behind the SCF-X11-SW method is given by Johnson (1973)

...

The electronic structure of an (FeO,)'°' cluster as a function of Fe-O bond length

was

**calculated**using the self-consistent field X11-scattered wave (SCF-Xa-SW)method. The theory behind the SCF-X11-SW method is given by Johnson (1973)

...

Page 123

The temperature at a given depth is

temperature and density at the core-mantle boundary: 71, = 3500 K, po = 5.55 g/

cm'. The results of this approach are shown in Figure 3. Details of the

are given ...

The temperature at a given depth is

**calculated**by using the estimatedtemperature and density at the core-mantle boundary: 71, = 3500 K, po = 5.55 g/

cm'. The results of this approach are shown in Figure 3. Details of the

**calculation**are given ...

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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 | |

7 other sections not shown

### 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

anisotropy ANNNI model antiferromagnetic approximation atoms axis Bachheimer Ballet behavior berlinite Bukowinski calculated canting cation distributions Chem chemical cluster Coey composition conﬁguration coupling crystal ﬁeld crystal structure crystallographic decreases deﬁned density disordered Dolino Earth Planet electron entropy equilibrium experimental Fe2SiO feldspar ferromagnetic ﬁrst ﬁt free energy Geophys Ghose grunerite 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 MgSiO Mineral Mn2SiO4 mode Mossbauer neutron diffraction observed octahedral olivines orbital order parameter orthopyroxene orthorhombic pairs Pbl2 perovskite phase diagrams phase transition Phys polytypes polytypic phases predicted pyroxenes quartz reﬂections Salje sample shown in Fig silicates SiO2 solid solutions speciﬁc heat spin glass susceptibility symmetry temperature dependence thermal expansion thermodynamic tion transformation X-ray zero pressure