Quantum Mechanical First Principles Calculations of the Electronic and Magnetic Structure of Fe-Bearing Rock-Forming Silicates
Quantum Mechanical First Principles Calculations of the Electronic and Magnetic Structure of Fe-Bearing Rock-Forming Silicates

Author: Danylo Zherebetskyy

Publisher: Universal-Publishers

Published: 2010

Total Pages: 138

ISBN-13: 1599423162

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The focus of this thesis is the study of the electronic and magnetic structure of three representative members of Fe-bearing rock-forming silicates, viz. orthoferrosilite (Fe2+2Si2O6), almandine (Fe2+3Al2(SiO4)3) and andradite (Ca3Fe3+2(SiO4)3). These minerals have attracted significant attention due to their abundance in the Earth's crust and mantle, and because crystallised silicates are main components of cosmic dust which is the most abundant raw material in the Universe. For this purpose quantum mechanical first principles electronic structure calculations are performed by the most efficient DFT method in the local spin-density approximation for calculating spectroscopic data: the spin-polarized self consistent charge Xa method. The specific feature and strength of these investigations consist in the theoretical characterization of these complex systems based on experimental results. This means that, on one hand, experimental spectroscopic and crystallographic data are being used to judge the reliability of the calculations, whereas, on the other hand, experimental data are interpreted and explained by the theoretical results. This work comprises seven chapters. After a brief introduction (Chapter 1) Chapter 2 describes the theoretical bases, ideas, approximations and advantages of the SCC- Xa method and basics of the art of cluster construction. Chapter 3 considers physical bases of crystal field theory, absorption, Mossbauer spectroscopy and magnetic interactions, as well as the calculation of spectroscopic data within the frame of the SCC-Xa method. In addition, tetragonally, trigonally and angularly distorted octahedral sites with various degrees of the distortions are calculated and analyzed. The electronic and magnetic structures of orthoferrosilite, almandine and andradite are described in the following chapters. In the case of orthoferrosilite the magnetic interactions between the iron spins within the ribbons and between neighboring ribbons are characterized. Two identical interpenetrating magnetic sublattices of circles of 10 edge-shared dodecahedra are revealed and characterized in almandine. The calculated spin structure explains and solves the controversy in the interpretation of the Mossbauer spectra of almandine below the Neel temperature. For andradite a model of the magnetic structure is proposed based on geometrical considerations and the calculated spin coupling constants for the various interaction pathways. According to this model, the magnetic structure of andradite consists of two frustrated equivalent magnetic sublattices. The spins of the Fe ions within each sublattice are coupled antiferromagnetically. The derived spin pattern explains two sextets in the Mossbauer spectra of andradite below the Neel temperature. Finally, the main results are summarized in Chapter 7.

The Difference Electron Nanoscope
The Difference Electron Nanoscope

Author: Werner Lottermoser

Publisher: CRC Press

Published: 2017-06-26

Total Pages: 167

ISBN-13: 1351767666

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This book deals with the difference electron nanoscope (DEN), whose principles have been invented and realised by the book author. The DEN is based on a smart combination of diffractometric and spectroscopic data and uses a visualisation of three-dimensional difference electron densities (in our case stemming from 3d orbitals) in order to obtain the key quantity involved, the electric field gradient (efg). However, the DEN is no machine, as the title of the book might infer. It is a computer program running on a fast computer system displaying 3D difference electron hyperareas floating in space and the relevant efg as a wire frame model within the unit cell of the sample involved. In this sense, it acts on a sub-nanometer scale (hence the term "nanoscope") and generates images of uncompared symmetrical and physical evidence—and beauty. For the first time, diffractometry and spectroscopy have been integrated for the common synergetic effects that may contribute to a better understanding of electric and magnetic interactions in a crystal. The experimental derivation of the common quantity, the efg, is not confined to iron-containing samples, as the use of Mössbauer spectroscopy might infer, but can also be determined by nuclear quadrupole resonance that is not confined to special nuclides. Hence, the DEN can be applied to a huge multitude of scientifically interesting specimens since the main method involved, diffractometry in a wide sense, has no general limitations at all. So it is a rather universal method, and the monograph might contribute to a wide distribution of the method in the scientific world. Has anyone seen a real orbital before: a real orbital distribution in a crystal unit cell together with its efg tensor ellipsoid? In this book, one can see it.

Essentials of Paleomagnetism
Essentials of Paleomagnetism

Author: Lisa Tauxe

Publisher: Univ of California Press

Published: 2010-03-19

Total Pages: 505

ISBN-13: 0520260317

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"This book by Lisa Tauxe and others is a marvelous tool for education and research in Paleomagnetism. Many students in the U.S. and around the world will welcome this publication, which was previously only available via the Internet. Professor Tauxe has performed a service for teaching and research that is utterly unique."—Neil D. Opdyke, University of Florida

Advanced Mineralogy
Advanced Mineralogy

Author: A.S. Marfunin

Publisher: Springer

Published: 1994-08-23

Total Pages: 588

ISBN-13: 9783540572541

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All existing introductory reviews of mineralogy are written accord ing to the same algorithm, sometimes called the "Dana System of Mineralogy". Even modern advanced handbooks, which are cer tainly necessary, include basic data on minerals and are essentially descriptive. When basic information on the chemistry, structure, optical and physical properties, distinguished features and para genesis of 200-400 minerals is presented, then there is practically no further space available to include new ideas and concepts based on recent mineral studies. A possible solution to this dilemma would be to present a book beginning where introductory textbooks end for those already famil iar with the elementary concepts. Such a volume would be tailored to specialists in all fields of science and industry, interested in the most recent results in mineralogy. This approach may be called Advanced Mineralogy. Here, an attempt has been made to survey the current possibilities and aims in mineral matter investigations, including the main characteristics of all the methods, the most important problems and topics of mineral ogy, and related studies. The individual volumes are composed of short, condensed chap ters. Each chapter presents in a complete, albeit condensed, form specific problems, methods, theories, and directions of investigations, and estimates their importance and strategic position in science and industry.

Remote Compositional Analysis
Remote Compositional Analysis

Author: Janice L. Bishop

Publisher: Cambridge University Press

Published: 2019-11-28

Total Pages: 655

ISBN-13: 110718620X

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Comprehensive overview of the spectroscopic, mineralogical, and geochemical techniques used in planetary remote sensing.

Fundamentals of Rock Physics
Fundamentals of Rock Physics

Author: Nikolai Bagdassarov

Publisher: Cambridge University Press

Published: 2021-12-09

Total Pages: 566

ISBN-13: 1108390196

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Rock physics encompasses practically all aspects of solid and fluid state physics. This book provides a unified presentation of the underlying physical principles of rock physics, covering elements of mineral physics, petrology and rock mechanics. After a short introduction on rocks and minerals, the subsequent chapters cover rock density, porosity, stress and strain relationships, permeability, poroelasticity, acoustics, conductivity, polarizability, magnetism, thermal properties and natural radioactivity. Each chapter includes problem sets and focus boxes with in-depth explanations of the physical and mathematical aspects of underlying processes. The book is also supplemented by online MATLAB exercises to help students apply their knowledge to numerically solve rock physics problems. Covering laboratory and field-based measurement methods, as well as theoretical models, this textbook is ideal for upper-level undergraduate and graduate courses in rock physics. It will also make a useful reference for researchers and professional scientists working in geoscience and petroleum engineering.

The Chemical Bond in Inorganic Chemistry
The Chemical Bond in Inorganic Chemistry

Author: Ian David Brown

Publisher:

Published: 2002

Total Pages: 289

ISBN-13: 0198508700

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This book describes the bond valence model, a description of acid-base bonding which is becoming increasingly popular particularly in fields such as materials science and mineralogy where solid state inorganic chemistry is important. Recent improvements in crystal structure determination have allowed the model to become more quantitative. Unlike other models of inorganic chemical bonding, the bond valence model is simple, intuitive, and predictive, and can be used for analysing crystal structures and the conceptual modelling of local as well as extended structures. This is the first book to explore in depth the theoretical basis of the model and to show how it can be applied to synthetic and solution chemistry. It emphasizes the separate roles of the constraints of chemistry and of three-dimensional space by analysing the chemistry of solids. Many applications of the model in physics, materials science, chemistry, mineralogy, soil science, surface science, and molecular biology are reviewed. The final chapter describes how the bond valence model relates to and represents a simplification of other models of inorganic chemical bonding.

Introduction To Semiconductor Physics
Introduction To Semiconductor Physics

Author: Holger T Grahn

Publisher: World Scientific Publishing Company

Published: 1999-04-19

Total Pages: 203

ISBN-13: 9813105151

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This book covers the physics of semiconductors on an introductory level, assuming that the reader already has some knowledge of condensed matter physics. Crystal structure, band structure, carrier transport, phonons, scattering processes and optical properties are presented for typical semiconductors such as silicon, but III-V and II-VI compounds are also included. In view of the increasing importance of wide-gap semiconductors, the electronic and optical properties of these materials are dealt with too.