Band Theory and Electronic Properties of Solids

Band Theory and Electronic Properties of Solids

Author: John Singleton

Publisher: OUP Oxford

Published: 2001-08-30

Total Pages: 239

ISBN-13: 0191057460

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This book provides an introduction to band theory and the electronic properties of materials at a level suitable for final-year undergraduates or first-year graduate students. It sets out to provide the vocabulary and quantum-mechanical training necessary to understand the electronic, optical and structural properties of the materials met in science and technology and describes some of the experimental techniques which are used to study band structure today. In order to leave space for recent developments, the Drude model and the introduction of quantum statistics are treated synoptically. However, Bloch's theorem and two tractable limits, a very weak periodic potential and the tight-binding model, are developed rigorously and in three dimensions. Having introduced the ideas of bands, effective masses and holes, semiconductor and metals are treated in some detail, along with the newer ideas of artificial structures such as super-lattices and quantum wells, layered organic substances and oxides. Some recent `hot topics' in research are covered, e.g. the fractional Quantum Hall Effect and nano-devices, which can be understood using the techniques developed in the book. In illustrating examples of e.g. the de Haas-van Alphen effect, the book focuses on recent experimental data, showing that the field is a vibrant and exciting one. References to many recent review articles are provided, so that the student can conduct research into a chosen topic at a deeper level. Several appendices treating topics such as phonons and crystal structure make the book self-contained introduction to the fundamentals of band theory and electronic properties in condensed matter physic today.


Book Synopsis Band Theory and Electronic Properties of Solids by : John Singleton

Download or read book Band Theory and Electronic Properties of Solids written by John Singleton and published by OUP Oxford. This book was released on 2001-08-30 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to band theory and the electronic properties of materials at a level suitable for final-year undergraduates or first-year graduate students. It sets out to provide the vocabulary and quantum-mechanical training necessary to understand the electronic, optical and structural properties of the materials met in science and technology and describes some of the experimental techniques which are used to study band structure today. In order to leave space for recent developments, the Drude model and the introduction of quantum statistics are treated synoptically. However, Bloch's theorem and two tractable limits, a very weak periodic potential and the tight-binding model, are developed rigorously and in three dimensions. Having introduced the ideas of bands, effective masses and holes, semiconductor and metals are treated in some detail, along with the newer ideas of artificial structures such as super-lattices and quantum wells, layered organic substances and oxides. Some recent `hot topics' in research are covered, e.g. the fractional Quantum Hall Effect and nano-devices, which can be understood using the techniques developed in the book. In illustrating examples of e.g. the de Haas-van Alphen effect, the book focuses on recent experimental data, showing that the field is a vibrant and exciting one. References to many recent review articles are provided, so that the student can conduct research into a chosen topic at a deeper level. Several appendices treating topics such as phonons and crystal structure make the book self-contained introduction to the fundamentals of band theory and electronic properties in condensed matter physic today.

University Physics

University Physics

Author: OpenStax

Publisher:

Published: 2016-11-04

Total Pages: 622

ISBN-13: 9781680920451

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University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.


Book Synopsis University Physics by : OpenStax

Download or read book University Physics written by OpenStax and published by . This book was released on 2016-11-04 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.

Band Theory of Solids

Band Theory of Solids

Author: Simon L. Altmann

Publisher: Oxford University Press, USA

Published: 1991

Total Pages: 312

ISBN-13:

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The structure of much of solid-state theory comes directly from group theory, but until now there has been no elementary introduction to the band theory of solids using this approach. Employing the most basic of group theoretical ideas, and emphasizing the significance of symmetry in determining many of the essential concepts, this is the only book to provide such an introduction. Many topics were chosen with the needs of chemists in mind, and numerous problems are included to enable the reader to apply the major ideas and to complete some parts of the treatment. Physical scientists will also find this a valuable introduction to the field.


Book Synopsis Band Theory of Solids by : Simon L. Altmann

Download or read book Band Theory of Solids written by Simon L. Altmann and published by Oxford University Press, USA. This book was released on 1991 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structure of much of solid-state theory comes directly from group theory, but until now there has been no elementary introduction to the band theory of solids using this approach. Employing the most basic of group theoretical ideas, and emphasizing the significance of symmetry in determining many of the essential concepts, this is the only book to provide such an introduction. Many topics were chosen with the needs of chemists in mind, and numerous problems are included to enable the reader to apply the major ideas and to complete some parts of the treatment. Physical scientists will also find this a valuable introduction to the field.

Handbook of the Band Structure of Elemental Solids

Handbook of the Band Structure of Elemental Solids

Author: Dimitris A. Papaconstantopoulos

Publisher: Springer

Published: 2014-11-10

Total Pages: 663

ISBN-13: 1441982647

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This handbook presents electronic structure data and tabulations of Slater-Koster parameters for the whole periodic table. This second edition presents data sets for all elements up to Z = 112, Copernicium, whereas the first edition contained only 53 elements. In this new edition, results are given for the equation of state of the elements together with the parameters of a Birch fit, so that the reader can regenerate the results and derive additional information, such as Pressure-Volume relations and variation of Bulk Modulus with Pressure. For each element, in addition to the equation of state, the energy bands, densities of states and a set of tight-binding parameters is provided. For a majority of elements, the tight-binding parameters are presented for both a two- and three-center approximation. For the hcp structure, new three-center tight-binding results are given. Other new material in this edition include: energy bands and densities of states of all rare-earth metals, a discussion of the McMillan-Gaspari-Gyorffy theories and a tabulation of the electron-ion interaction matrix elements. The evaluation of the Stoner criterion for ferromagnetism is examined and results are tabulated. This edition also contains two new appendices discussing the effects of spin-orbit interaction and a modified version of Harrison's tight-binding theory for metals which puts the theory on a quantitative basis.


Book Synopsis Handbook of the Band Structure of Elemental Solids by : Dimitris A. Papaconstantopoulos

Download or read book Handbook of the Band Structure of Elemental Solids written by Dimitris A. Papaconstantopoulos and published by Springer. This book was released on 2014-11-10 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook presents electronic structure data and tabulations of Slater-Koster parameters for the whole periodic table. This second edition presents data sets for all elements up to Z = 112, Copernicium, whereas the first edition contained only 53 elements. In this new edition, results are given for the equation of state of the elements together with the parameters of a Birch fit, so that the reader can regenerate the results and derive additional information, such as Pressure-Volume relations and variation of Bulk Modulus with Pressure. For each element, in addition to the equation of state, the energy bands, densities of states and a set of tight-binding parameters is provided. For a majority of elements, the tight-binding parameters are presented for both a two- and three-center approximation. For the hcp structure, new three-center tight-binding results are given. Other new material in this edition include: energy bands and densities of states of all rare-earth metals, a discussion of the McMillan-Gaspari-Gyorffy theories and a tabulation of the electron-ion interaction matrix elements. The evaluation of the Stoner criterion for ferromagnetism is examined and results are tabulated. This edition also contains two new appendices discussing the effects of spin-orbit interaction and a modified version of Harrison's tight-binding theory for metals which puts the theory on a quantitative basis.

Band Theory of Metals

Band Theory of Metals

Author: Simon L. Altmann

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 265

ISBN-13: 1483158993

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Band Theory of Metals: The Elements focuses on the band theory of solids. The book first discusses revision of quantum mechanics. Topics include Heisenberg’s uncertainty principle, normalization, stationary states, wave and group velocities, mean values, and variational method. The text takes a look at the free-electron theory of metals, including heat capacities, density of states, Fermi energy, core and metal electrons, and eigenfunctions in three dimensions. The book also reviews the effects of crystal fields in one dimension. The eigenfunctions of the translations; symmetry operations of the linear chain; use of translational symmetry; degeneracy of the Bloch functions; and effects of inversion are described. The text also focuses on Bloch functions and Brillouin zones in three dimensions. Concerns include symmetry in the reciprocal space; scalar product and reciprocal vectors; Brillouin zones of higher order; and conditions for the faces of the Brillouin zones. The book is a good source of data for readers interested in the band theory of solids.


Book Synopsis Band Theory of Metals by : Simon L. Altmann

Download or read book Band Theory of Metals written by Simon L. Altmann and published by Elsevier. This book was released on 2013-10-22 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Band Theory of Metals: The Elements focuses on the band theory of solids. The book first discusses revision of quantum mechanics. Topics include Heisenberg’s uncertainty principle, normalization, stationary states, wave and group velocities, mean values, and variational method. The text takes a look at the free-electron theory of metals, including heat capacities, density of states, Fermi energy, core and metal electrons, and eigenfunctions in three dimensions. The book also reviews the effects of crystal fields in one dimension. The eigenfunctions of the translations; symmetry operations of the linear chain; use of translational symmetry; degeneracy of the Bloch functions; and effects of inversion are described. The text also focuses on Bloch functions and Brillouin zones in three dimensions. Concerns include symmetry in the reciprocal space; scalar product and reciprocal vectors; Brillouin zones of higher order; and conditions for the faces of the Brillouin zones. The book is a good source of data for readers interested in the band theory of solids.

An Introduction to the Electron Theory of Solids

An Introduction to the Electron Theory of Solids

Author: John Stringer

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 257

ISBN-13: 148313671X

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An Introduction to the Electron Theory of Solids introduces the reader to the electron theory of solids. Topics covered range from the breakdown of classical theory to atomic spectra and the old quantum theory, as well as the uncertainty principle of Heisenberg and the foundations of quantum mechanics. Some problems in wave mechanics and a wave-mechanical treatment of the simple harmonic oscillator and the hydrogen atom are also presented. Comprised of 12 chapters, this book begins with an introduction to Isaac Newton's theory of classical mechanics and how the scientists after him discounted his ideas. The discussion then turns to the spectrum of atomic hydrogen and the old quantum theory; Heisenberg's uncertainty principle and the consequences of wave-particle duality; the foundations of quantum mechanics; and assemblies of atoms. Atoms in motion and statistical mechanics are also considered, along with simple models of metals and the band theory of solids. The final chapter presents some results of band theory, with particular reference to thermal ionization of impurity atoms and conductivity of metals. This monograph is primarily intended for students of any discipline.


Book Synopsis An Introduction to the Electron Theory of Solids by : John Stringer

Download or read book An Introduction to the Electron Theory of Solids written by John Stringer and published by Elsevier. This book was released on 2013-10-22 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to the Electron Theory of Solids introduces the reader to the electron theory of solids. Topics covered range from the breakdown of classical theory to atomic spectra and the old quantum theory, as well as the uncertainty principle of Heisenberg and the foundations of quantum mechanics. Some problems in wave mechanics and a wave-mechanical treatment of the simple harmonic oscillator and the hydrogen atom are also presented. Comprised of 12 chapters, this book begins with an introduction to Isaac Newton's theory of classical mechanics and how the scientists after him discounted his ideas. The discussion then turns to the spectrum of atomic hydrogen and the old quantum theory; Heisenberg's uncertainty principle and the consequences of wave-particle duality; the foundations of quantum mechanics; and assemblies of atoms. Atoms in motion and statistical mechanics are also considered, along with simple models of metals and the band theory of solids. The final chapter presents some results of band theory, with particular reference to thermal ionization of impurity atoms and conductivity of metals. This monograph is primarily intended for students of any discipline.

Electronic Properties of Materials

Electronic Properties of Materials

Author: Rolf E. Hummel

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 323

ISBN-13: 3662024241

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The present book on electrical, optical, magnetic and thermal properties of materials is in many aspects different from other introductory texts in solid state physics. First of all, this book is written for engineers, particularly materials and electrical engineers who want to gain a fundamental under standing of semiconductor devices, magnetic materials, lasers, alloys, etc. Second, it stresses concepts rather than mathematical formalism, which should make the presentation relatively easy to understand. Thus, this book provides a thorough preparation for advanced texts, monographs, or special ized journal articles. Third, this book is not an encyclopedia. The selection oftopics is restricted to material which is considered to be essential and which can be covered in a 15-week semester course. For those professors who want to teach a two-semester course, supplemental topics can be found which deepen the understanding. (These sections are marked by an asterisk [*]. ) Fourth, the present text leaves the teaching of crystallography, X-ray diffrac tion, diffusion, lattice defects, etc. , to those courses which specialize in these subjects. As a rule, engineering students learn this material at the beginning of their upper division curriculum. The reader is, however, reminded of some of these topics whenever the need arises. Fifth, this book is distinctly divided into five self-contained parts which may be read independently.


Book Synopsis Electronic Properties of Materials by : Rolf E. Hummel

Download or read book Electronic Properties of Materials written by Rolf E. Hummel and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book on electrical, optical, magnetic and thermal properties of materials is in many aspects different from other introductory texts in solid state physics. First of all, this book is written for engineers, particularly materials and electrical engineers who want to gain a fundamental under standing of semiconductor devices, magnetic materials, lasers, alloys, etc. Second, it stresses concepts rather than mathematical formalism, which should make the presentation relatively easy to understand. Thus, this book provides a thorough preparation for advanced texts, monographs, or special ized journal articles. Third, this book is not an encyclopedia. The selection oftopics is restricted to material which is considered to be essential and which can be covered in a 15-week semester course. For those professors who want to teach a two-semester course, supplemental topics can be found which deepen the understanding. (These sections are marked by an asterisk [*]. ) Fourth, the present text leaves the teaching of crystallography, X-ray diffrac tion, diffusion, lattice defects, etc. , to those courses which specialize in these subjects. As a rule, engineering students learn this material at the beginning of their upper division curriculum. The reader is, however, reminded of some of these topics whenever the need arises. Fifth, this book is distinctly divided into five self-contained parts which may be read independently.

A Modern Course in the Quantum Theory of Solids

A Modern Course in the Quantum Theory of Solids

Author: Fuxiang Han

Publisher: World Scientific

Published: 2013

Total Pages: 721

ISBN-13: 9814417149

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This book contains advanced subjects in solid state physics with emphasis on the theoretical exposition of various physical phenomena in solids using quantum theory, hence entitled "A modern course in the quantum theory of solids." The use of the adjective "modern" in the title is to reflect the fact that some of the new developments in condensed matter physics have been included in the book. The new developments contained in the book are mainly in experimental methods (inelastic neutron scattering and photoemission spectroscopy), in magnetic properties of solids (the itinerant magnetism, the superexchange, the Hubbard model, and giant and colossal magnetoresistance), and in optical properties of solids (Raman scattering). Besides the new developments, the Green's function method used in many-body physics and the strong-coupling theory of superconductivity are also expounded in great details.


Book Synopsis A Modern Course in the Quantum Theory of Solids by : Fuxiang Han

Download or read book A Modern Course in the Quantum Theory of Solids written by Fuxiang Han and published by World Scientific. This book was released on 2013 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains advanced subjects in solid state physics with emphasis on the theoretical exposition of various physical phenomena in solids using quantum theory, hence entitled "A modern course in the quantum theory of solids." The use of the adjective "modern" in the title is to reflect the fact that some of the new developments in condensed matter physics have been included in the book. The new developments contained in the book are mainly in experimental methods (inelastic neutron scattering and photoemission spectroscopy), in magnetic properties of solids (the itinerant magnetism, the superexchange, the Hubbard model, and giant and colossal magnetoresistance), and in optical properties of solids (Raman scattering). Besides the new developments, the Green's function method used in many-body physics and the strong-coupling theory of superconductivity are also expounded in great details.

Band Structure of Semiconductors

Band Structure of Semiconductors

Author: I. M. Tsidilkovski

Publisher: Elsevier

Published: 2016-10-19

Total Pages: 417

ISBN-13: 1483157865

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Band Structure of Semiconductors provides a review of the theoretical and experimental methods of investigating band structure and an analysis of the results of the developments in this field. The book presents the problems, methods, and applications in the study of band structure. Topics on the computational methods of band structure; band structures of important semiconducting materials; behavior of an electron in a perturbed periodic field; effective masses and g-factors for the most commonly encountered band structures; and the treatment of cyclotron resonance, Shubnikov-de Haas oscillations, magnetophonon resonance, and magneto-optical phenomena are discussed. Experimental physicists, theoretical physicists, students and research workers, and engineers working in the field of semiconductor electronics will find this book a great source of vital information.


Book Synopsis Band Structure of Semiconductors by : I. M. Tsidilkovski

Download or read book Band Structure of Semiconductors written by I. M. Tsidilkovski and published by Elsevier. This book was released on 2016-10-19 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Band Structure of Semiconductors provides a review of the theoretical and experimental methods of investigating band structure and an analysis of the results of the developments in this field. The book presents the problems, methods, and applications in the study of band structure. Topics on the computational methods of band structure; band structures of important semiconducting materials; behavior of an electron in a perturbed periodic field; effective masses and g-factors for the most commonly encountered band structures; and the treatment of cyclotron resonance, Shubnikov-de Haas oscillations, magnetophonon resonance, and magneto-optical phenomena are discussed. Experimental physicists, theoretical physicists, students and research workers, and engineers working in the field of semiconductor electronics will find this book a great source of vital information.

Atomic and Electronic Structure of Solids

Atomic and Electronic Structure of Solids

Author: Efthimios Kaxiras

Publisher: Cambridge University Press

Published: 2003-01-09

Total Pages: 700

ISBN-13: 0521810108

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Graduate-level textbook for physicists, chemists and materials scientists.


Book Synopsis Atomic and Electronic Structure of Solids by : Efthimios Kaxiras

Download or read book Atomic and Electronic Structure of Solids written by Efthimios Kaxiras and published by Cambridge University Press. This book was released on 2003-01-09 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level textbook for physicists, chemists and materials scientists.