Download or read book Mathematical Techniques and Physical Applications written by J Killingbeck and published by Elsevier. This book was released on 2012-12-02 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Techniques and Physical Applications provides a wide range of basic mathematical concepts and methods, which are relevant to physical theory. This book is divided into 10 chapters that cover the different branches of traditional mathematics. This book deals first with the concept of vector, matrix, and tensor analysis. These topics are followed by discussions on several theories of series relevant to physics; the fundamentals of complex variables and analytic functions; variational calculus for presenting the basic laws of many branches of physics; and the applications of group representations. The final chapters explore some partial and integral equations and derivatives of physics, as well as the concept and application of probability theory. Physics teachers and students will greatly appreciate this book.
Download or read book Ligand Field Parameters written by M. Gerloch and published by Cambridge University Press. This book was released on 1973-08-02 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume was originally published in 1973. The nature of the non-symmetry determined aspects of ligand-field theory receives inadequate treatment in most texts. This book is concerned with the nature of the ligand-field parameters used to describe the electronic properties of transition metal complexes having cubic and lower symmetries. These radial parameters constitute the non-symmetry-determined part of ligand-field theory. Symmetry-based properties are discussed here only to emphasize the separate roles of splitting factors and symmetry. The reader is assumed to be familiar with the usual approach to ligand-field theory and with elementary group theory.
Download or read book Magnetism and Ligand Field Analysis written by M. Gerloch and published by CUP Archive. This book was released on 1983 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, a synthesis of old and new notions straddling the disciplines of physics and chemistry is described.
Download or read book Magnetism Diagrams for Transition Metal Ions written by E. König and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: I.- 1. Introduction.- 2. Conventional Magnetism Diagrams and Their Limitations. Present State of the Art.- 3. Tensor Operator Algebra for Point Groups.- 3.1. Tensor Operators and the Wigner-Eckart Theorem.- 3.2. 3-? and 6-? Symbols.- 3.3. Tensor Operators in Subgroups of SO(3).- 3.4. Kronecker and Scalar Products of Tensor Operators.- 3.5. Tensor Operators of the Ligand Field.- 4. The Weak-Field Method.- 4.1. The Hamiltonian, States, and Wave Functions.- 4.2. The Various Coefficients.- 4.3. Matrix Elements.- 4.4. Calculation of Magnetic Susceptibility.- 5. The Intermediate-Field Method.- 5.1.
Download or read book Ligand Field written by Ekkehard Konig and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twenty years ago Tanabe and Sugano published the first ligand field energy diagrarns which are applicable to dN electronic configurations. These diagrams are limited in scope in that they can be used only for octahedral symmetry and for a limited number of terms. The present volume is an attempt to fill the gap by providing a reasonable nurober of complete and accurate ligand field energy diagrarns for dN configurations in the most commonly encountered symmetries. Despite their limited nature, the diagrarns of Tanabe and Sugano were exten sively used in the past in order to rationalize optical and luminescence spectra and to discuss various electronic properties of transition metal ions, their coordination compounds and solids. Moreover, Tanabe-Sugano diagrams have an established place in the theory of transition metal compounds and are included in most textbooks of inorganic and coordination chemistry. It is expected that the present diagrarns will be found useful for a similar purpose.
Download or read book Propagators in Quantum Chemistry written by Jan Linderberg and published by John Wiley & Sons. This book was released on 2004-03-26 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only authoritative reference source on the propagator concept, now thoroughly revised and updated Much has changed in the study of quantum and theoretical chemistry since the publication of the first edition of Propagators in Quantum Chemistry. Advances in computer power and software packages now make it possible to calculate molecular structure, properties, spectra, and reactivity with greater predictive power. Chemical processes, especially under conditions not readily available in the laboratory, can also be much more easily studied via theory and computations. In this environment, the concept of propagators (or Green's functions) is emerging as an increasingly useful tool in the study of atomic and molecular processes. Propagators in Quantum Chemistry, Second Edition presents the theory and basic approximations of propagators in a unified manner as it provides: * A thorough introduction to propagators, and how they can be used to study atomic and molecular properties and spectra * Updated examples and technical details of the use of the propagator concept in various common approximate treatments * Problems that provide the opportunity to work out further details and applications of the theory Propagators, which are still gaining acceptance as tools in theoretical chemistry, have a long-demonstrated power and success in a number of areas including condensed matter physics. Propagators in Quantum Chemistry clearly describes the unprecedented utility and value of propagators, and explores how and why they are becoming increasingly important to scientists and researchers across the scientific spectrum.
Download or read book Spherical Tensor Operators Tables Of Matrix Elements And Symmetries written by Jack A Tuszynski and published by World Scientific. This book was released on 1990-08-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains introductory comments concerning the definitions, the symmetry properties and the basic formulae for matrix elements of tensor operators. The main body of text consists of tables of reduced matrix elements of double tensor operators within pn,dn and fn configurations, i.e. all the principal pure configurations of the atomic and nuclear structure. These tables are complete which means that the author has run through all the states of the following configurations: p2, p3, d2, d3, d4, d5, f2, f3, f4, f5, f6, f7 for multiparticle systems with central symmetry.Double tensor operators wk1k2 have been chosen in these calculations, for a number of reasons. First of all, they are the most general type of spherical tensor operators and, since they are normalized, they are the most convenient to use. Secondly, they have been very frequently used in many areas of physics, most notably in nuclear, atomic, molecular and solid state physics. There are also tabulated conversion factors to enable the use of these tables for other types of definitions of tensor operators.
Download or read book Point Group Character Tables and Related Data written by J. A. Salthouse and published by CUP Archive. This book was released on 1972-06-22 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solid State Physics written by and published by Academic Press. This book was released on 1986-06-13 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid State Physics
Download or read book Spectroscopic Properties of Rare Earths in Optical Materials written by Guokui Liu and published by Springer Science & Business Media. This book was released on 2006-01-29 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at researchers and graduate students, this book provides up-to-date information about the electronic interactions that impact the optical properties of rare earth ions in solids. Its goal is to establish a connection between fundamental principles and the materials properties of rare-earth activated luminescent and laser optical materials. The theoretical survey and introduction to spectroscopic properties covers electronic energy level structure, intensities of optical transitions, ion-phonon interactions, line broadening, and energy transfer and up-conversion. An important aspect of the book lies in its deep and detailed discussions of materials properties and the potential of new applications such as optical storage, information processing, nanophotonics, and molecular probes that have been identified in recent experimental studies. This volume will be a valuable reference book on advanced topics of rare earth spectroscopy and materials science.
Download or read book Magnetism and Transition Metal Complexes written by F. E. Mabbs and published by Courier Corporation. This book was released on 2008-01-11 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a detailed view of the calculation methods involved in the magnetic properties of transition metal complexes. Starting at an elementary level, it proceeds gradually through theory and calculations to offer sufficient background for original work in the field. No specialized knowledge of magnetism is assumed in the introductory chapters, which offer basic definitions and generalizations of magnetic behavior and briefly review both crystal field theory and perturbation theory. Succeeding chapters explore calculations of the magnetic properties of cubic and axially distorted complexes. Featuring the complete calculation for spin-orbit coupling and magnetic field perturbations for one d-configuration, the text also discusses derivations and results for other configurations. Other topics include the magnetism of polynuclear species, in which antiferromagnetic ordering occurs over small numbers of centers. Detailed calculations by the dipolar coupling approach are given, and the results are applied to a number of studies from the literature.
Download or read book A Handbook of Magnetochemical Formulae written by Roman Boča and published by Elsevier. This book was released on 2012-02-01 with total page 1010 pages. Available in PDF, EPUB and Kindle. Book excerpt: Magnetochemistry is concerned with the study of magnetic properties in materials. It investigates the relationship between the magnetic properties of chemical compounds and their atomic and molecular structure. This rapidly growing field has a number of applications, and the measuring and interpreting of magnetic properties is often conducted by scientists who are not specialists in the field. Magnetochemistry requires complex mathematics and physics and so can be daunting for those who have not previously studied it in depth. Aimed at providing a single source of information on magnetochemistry, this book offers a comprehensive and contemporary review of the mathematical background and formula for predicting or fitting magnetic data, including a summary of the theory behind magnetochemistry to help understand the necessary calculations. Along with tables listing the key formula, there is also a model of the magnetic functions showing the effect of individual magnetic parameters. The clear structure and comprehensive coverage of all aspects of magnetochemistry will make this an essential book for advanced students and practitioners. - Provides comprehensive overview of the mathematical background of magnetochemistry - Uses clear and accessible language so scientists in a variety of fields can utilize the information - Detailed explanations of equations and formula
Download or read book Modern Aspects of Rare Earths and their Complexes written by Vinny R. Sastri and published by Elsevier. This book was released on 2003-12-09 with total page 1005 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to use rare earths successfully in various applications, a good understanding of the chemistry of these elements is of paramount importance. Nearly three to four decades have passed since titles such as The Rare Earths edited by F.H. Spedding and A.H. Daane, The chemistry of the Rare Earth Elements by N.E. Topp and Complexes of the Rare Earths by S.P. Sinha were published. There have been many international conferences and symposia on rare earths, as well as the series of volumes entitled Handbook of Physics and Chemistry of Rare Earths edited by K.A. Gschneidner and L. Eyring. Thus, there is a need for a new title covering modern aspects of rare earth complexes along with the applications. The present title consists of twelve chapters. 1. Introduction2. General aspects3. Stability of complexes4. Lanthanide complexes5. Structural chemistry of lanthanide compounds6. Organometallic complexes7. Kinetics and mechanisms of rare earths complexation8. Spectroscopy of lanthanide complexes9. Photoelectron spectroscopy of rare earths10. Lanthanide NMR shift reagents11. Environmental ecological biological aspects12. Applications The authors studied in schools headed by pioneers in rare earth chemistry, have a combined experience of one hundred and fifty years in inorganic chemistry, rare earth complex chemistry, nuclear and radiochemistry of rare earths and supramolecular chemistry. The present monograph is a product of this rich experience.
Download or read book Angular Momentum Theory Applied to Interactions in Solids written by Clyde A. Morrison and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: From December 1985 through March 1986 the text of this book formed the basis of an in-hours course taught by the author at Harry Diamond Laborato ries. Considerable assistance in revising and organizing the first draft was given by John Bruno. The original draft of these notes was based on a collection of lectures delivered at the Universidade Federal de Pernambuco, Recife, Brazil, between 2 November 1981 and 2 December 1981. The visit to Recife was a response to an invi tation of Professor Gilberto F. de Sa of the Physics Department. In the preparation of these notes I made many requests of my coworkers for earlier resul ts and recollections of our early work. Among those consul ted were Donald Wortman, Nick Karayianis, and Richard Leavitt. Further, a number of .suggestions from my Brazilian colleagues helped make the lectures more clear. Particular among these were Professor Oscar Malta and Professor Alfredo A. da Gama both of whom I wish to thank for their help. Encouragement and assistance with funding for much of this work came from Leon Esterowitz of the Naval Research Laboratory and Rudolph Buser and Albert Pinto of the center for Night Vision and Electro-Optics.
Download or read book Recent Advances in Group Theory and Their Application to Spectroscopy written by John C. Donini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have seen a resurgence in the applications of group theory to the problems posed by various characteristics of transition metals and lanthanides. In particular with the commercial availability of more sophisticated experimental tech niques; such as Magnetic Circular Dichroism (M.C.D.), Electron Paramagnetic Resonance (E.P.R. or E.S(pin).R.) and Single Crystal Polarised Spectra; experimental data of a much more sophisticated and selective nature than the old stand-by; absorption spectra and magnetic susceptibility; has become available. This new wealth of high quality experimental data thus pre sents challenges of interpretation and organization of the data which the new developments in group theory strive to meet. The wealth and quality of this new data makes the nuances and differences implicit in the traditional strong and weak field approach testable. Thus, these approaches can be tested more fully and new formalisms can be meaningfully tested, by comparison to experiment. Hence the characteristic implicit in the strong and weak field approaches are revealed by studies into their formal structures as exemplified by Drs. E. Konig, S. Kremer, and S. Piepho. Similarly, works proceed apace on the knotty problem of correlation and gen eralization of these properties through approaches such as those of Drs. P. H. Butler, J. C. Donini and M. Kibler. On a similar vein the deep structure of group representation and correlations of representation of various groups is explored by the afore mentioned and by Drs. Fritzer, Patera and Sharp.
Download or read book The Quantum Theory of Atoms Molecules and Photons written by John Avery and published by . This book was released on 1972 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
