Handbook on the Physics and Chemistry of Rare Earths :: this volume of the Handbook on the Physics and Chemistry of Rare Earths adds three new chapters to the series, describing three different aspects of rare-earth science.

The volume opens with an over view of the dual nature of 4f states in the lanthanides (Chapter 241). It is followed by a review of the temperature-dependent behaviors of aluminates and gallates, the structures of which are based on the simple, yet flexible, cubic perovskite model (Chapter 242).

The last chapter describes the current state of the art in luminescence of polyoxometallolanthanoates and their photochemistry leading to the formation of highly colored nano-rings (Chapter 243).

The opening chapter describes the dual character of the 4f core electrons that may either be part of the valence states or be inert and form part of the core using first principles theory. Here, W. M. Temmerman and coauthors begin with a review of the relevant physical, electronic, and magnetic properties of lanthanide materials.

They then give a brief overview of the applicable theoretical methods based on the density functional theory, with the focus on the self-interaction corrected local spin density approximation method, and, in particular, the full implementation of self-interaction correction, involving repeated transformations between Bloch and Wannier representations.

The main part of the chapter deals with the application of these methods to understanding the valence and valence transitions of the lanthanides. By introducing the notion of nominal valence, which defines the number of remaining band-like states as the valence of the lanthanide ion, a better understanding of the physical properties of the lanthanides and their compounds, and in particular, magnetism, was achieved as demonstrated by numerous examples.

Later, the authors turn their attention to two spectroscopic techniques applicable to lanthanides and some of their compounds in order to study some
of the properties of the localized 4f states. An important issue—how to calculate the finite temperature properties of the lanthanide metals and their compounds—is discussed and illustrated by the study of finite temperature magnetism of the heavy lanthanides and the finite temperature diagram of the Ce a–g phase transition. The chapter concludes with the outline on how to include dynamical quantum fluctuations to further improve modeling precision.

The author of this book “Handbook on the Physics and Chemistry of Rare Earths” is Karl A. Gschneidner.

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Handbook on the Physics and Chemistry of Rare Earths

Handbook on the Physics and Chemistry of Rare Earths.

Author(s): Karl A. Gschneidner Jr. B.S. University of Detroit 1952<br>Ph.D. Iowa State University 1957, Jean-Claude Bünzli Diploma in chemical engineering (EPFL 1968)<br>PhD in inorganic chemistry (EPFL 1971), Vitalij K. Pecharsky B.S./M.S. L’viv State University 1976<br>Ph.D. L’viv State University

Publisher: Elsevier, Year: 2009

ISBN: 9780444532213

 

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[PDF] Handbook on the Physics and Chemistry of Rare Earths Table Of Contents

Cover Page……Page 1
Series Editors……Page 2
Copyright Page……Page 3
Preface……Page 4
Contents of Volumes 1-38……Page 8
Contents of Volumes 1-39……Page 19
The Dual, Localized or Band-Like, Character of the 4f-States……Page 25
Introduction……Page 28
Lattice parameters……Page 30
Magnetic properties and magnetic order……Page 32
Fermi surfaces……Page 36
Local spin density approximation……Page 39
OP scheme……Page 42
Local density approximation + Hubbard U……Page 43
Self-interaction-corrected local spin density approximation……Page 44
Local self-interaction-corrected local spin density approximation……Page 48
The GW method……Page 50
Dynamical mean field theory……Page 52
Determining valence……Page 53
Valence of elemental lanthanides……Page 54
Valence of pnictides and chalcogenides……Page 56
The pnictides……Page 57
The chalcogenides……Page 63
Valence of ytterbium compounds……Page 65
Valence transitions……Page 67
Valence of lanthanide oxides……Page 73
Local Spin and Orbital Magnetic Moments……Page 80
The heavy lanthanides……Page 81
The light lanthanides……Page 86
Spectroscopy……Page 87
Hubbard-I approach to lanthanide photoemission spectra……Page 88
Basic theory of X-ray scattering……Page 94
Application to lanthanides……Page 98
Thermal fluctuations……Page 99
Spin fluctuations: DLM picture……Page 101
The role of the CPA……Page 105
The paramagnetic DLM state……Page 107
Magnetic order in gadolinium: The prototype……Page 110
Magnetic phase diagram for the heavy lanthanide metals……Page 117
Valence fluctuations……Page 121
Dynamical Fluctuations: The ‘Alloy Analogy’ and the Landau Theory of Phase Transitions……Page 126
References……Page 129
Perovskite-Type Aluminates and Gallates……Page 137
Introduction……Page 138
Phase formation and stability……Page 140
Preparation……Page 145
Lanthanum aluminate LaAlO3……Page 149
Cerium aluminate CeAlO3……Page 152
Praseodymium aluminate PrAlO3……Page 156
Samarium aluminate SmAlO3……Page 162
Europium aluminate EuAlO3……Page 164
Gadolinium aluminate GdAlO3……Page 168
Dysprosium aluminate DyAlO3……Page 172
Holmium aluminate HoAlO3……Page 173
Erbium aluminate ErAlO3……Page 174
Thulium aluminate TmAlO3……Page 176
Lutetium aluminate LuAlO3……Page 177
Yttrium aluminate YAlO3……Page 179
Scandium aluminate ScAlO3……Page 182
Solid solutions based on RAlO3 perovskite-type compounds……Page 185
LaAlO3-RAlO3……Page 188
CeAlO3-RAlO3……Page 194
PrAlO3-RAlO3……Page 197
NdAlO3-RAlO3……Page 210
GdAlO3-RAlO3……Page 213
Comparative analysis of RAlO3 structures……Page 215
Phase transitions and thermal expansion of RAlO3 perovskites……Page 231
Dielectric properties of rare earth aluminates……Page 240
Formation and preparation……Page 248
Crystal structure of RGaO3……Page 252
Lanthanum gallate LaGaO3……Page 253
Cerium gallate CeGaO3……Page 255
Praseodymium gallate PrGaO3……Page 259
Neodymium gallate NdGaO3……Page 265
Samarium gallate, SmGaO3, and heavier rare earth gallates……Page 269
Solid solutions based on RGaO3 compounds……Page 272
LaGaO3-RGaO3 (R = Ce-Gd) systems……Page 273
LaGaO3-RGaO3 (R = Tb-Er and Y) systems……Page 278
NdGaO3-RGaO3 (R = Pr-Gd) and PrGaO3-RGaO3 (R = Sm-Gd) systems……Page 288
Room temperature crystal structures of RGaO3 and stoichiometric solid solutions: Patterns of consistence……Page 292
Stability of the perovskite structure in rare earth gallates……Page 295
Phase diagram……Page 299
Thermal expansion……Page 300
Dielectric properties of rare earth gallates……Page 304
References……Page 308
Luminescence of Polyoxometallolanthanoates and Photochemical Nano-Ring Formation……Page 320
Introduction……Page 322
Polyoxometalates containing a single lanthanide cation……Page 324
Structures of polyoxometalates containing multiple Eu3+ cations……Page 327
Crystal-field splitting and sensitized emission of Eu3+……Page 334
Co-ordination of aqua and hydroxo ligands to Eu3+……Page 338
Kinetics of the sensitized luminescence of Eu3+……Page 342
Involvement of the O rarr M lmct triplet states in energy transfer……Page 348
Luminescence spectra……Page 351
Luminescence decay dynamics……Page 354
Foumlrster-Dexter-type energy transfer……Page 356
Decay of the O rarr M lmct triplet states and energy transfer……Page 361
Primary steps in the photoredox reaction with both proton and electron donors……Page 362
Photo-induced self-assembly of Mo-blue nano-rings……Page 365
Ln3+-induced modification to ellipsoidal Mo-blue rings……Page 368
Ln3+-induced modification of Mo-blue rings into Japanese rice-ball shape……Page 370
Ln3+-induced modification of Mo-blue rings into tube and chain structures……Page 373
Summary and Conclusions……Page 375
References……Page 377
Author Index……Page 380
Subject Index……Page 404


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