Download or read book Angular Momentum Theory for Diatomic Molecules written by Brain Judd and published by Elsevier. This book was released on 2012-12-02 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Angular Momentum Theory for Diatomic Molecules focuses on the application of angular momentum theory in describing the complex dynamical processes in molecules. The manuscript first offers information on tensor algebra and rotation group. Discussions focus on commutation relations, spherical and double tensors, rotations, coupling, reduced matrix elements, quaternions, combination theorem for Gegenbauer polynomials, and combination theorems for spherical harmonics. The book then takes a look at R(4) in physical systems and hydrogen molecular ion, including rigid rotator, reversed angular momentum, reduced matrix elements, spheroidal coordinates, and hydrogen atom in spheroidal coordinates. The publication examines expansions and free diatomic molecules. Topics include angular momentum, molecular frame, primitive energy spectrum, rotating oscillator and hydrogen atom, expressions for electric potentials, delta functions, and Neumann expansion. The manuscript also considers external fields and perturbations. The text is a dependable reference for readers interested in the application of angular momentum theory in identifying the dynamical processes going on in molecules.
Download or read book The Theory of Rotating Diatomic Molecules written by Masataka Mizushima and published by Wiley-Interscience. This book was released on 1975 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rotational Spectroscopy of Diatomic Molecules written by John M. Brown and published by Cambridge University Press. This book was released on 2003-04-10 with total page 1074 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive text on the rotational spectroscopy of diatomic molecules.
Download or read book Perturbations in the Spectra of Diatomic molecules written by Helene Lefebvre-Brion and published by Elsevier. This book was released on 2012-12-02 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbations in the Spectra of Diatomic Molecules examines in sufficient detail the spectrum of every diatomic molecule. This book is divided into seven chapters. Chapter 1 describes the perturbations and simple procedures for evaluating matrix elements of angular momentum. The terms in the molecular Hamiltonian that are responsible for perturbations are elaborated in Chapter 2, while the process of reducing spectra to molecular constants and the difficulty of relating empirical parameters to terms in the exact molecular Hamiltonian are described in Chapter 3. Chapter 4 discusses the magnitudes and physical interpretations of matrix elements. The transition intensities, especially quantum mechanical interference effects, are reviewed in Chapter 5. The last two chapters are devoted to the two forms of perturbation—predissociation and autoionization. This publication is a good source for graduate students, theorists, experimentalists, and potential users of spectroscopic data.
Download or read book The Spectra and Dynamics of Diatomic Molecules written by Helene Lefebvre-Brion and published by Elsevier. This book was released on 2004-04-28 with total page 797 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for graduate students just beginning research, for theorists curious about what experimentalists actually can and do measure, and for experimentalists bewildered by theory. It is a guide for potential users of spectroscopic data, and uses language and concepts that bridge the frequency-and time-domain spectroscopic communities. Key topics, concepts, and techniques include: the assignment of simple spectra, basic experimental techniques, definition of Born-Oppenheimer and angular momentum basis sets and the associated spectroscopic energy level patterns (Hund's cases), construction of effective Hamiltonian matrices to represent both spectra and dynamics, terms neglected in the Born-Oppenheimer approximation (situations intermediate between Hund's cases, spectroscopic perturbations), nonlinear least squares fitting, calculation and interpretation of coupling terms, semi-classical (WKB) approximation, transition intensities and interference effects, direct photofragmentation (dissociation and ionization) and indirect photofragmentation (predissociation and autoionization) processes, visualization of intramolecular dynamics, quantum beats and wavepackets, treatment of decaying quasi-eigenstates using a complex Heff model, and concluding with some examples of polyatomic molecule dynamics. Students will discover that there is a fascinating world of cause-and-effect localized dynamics concealed beyond the reduction of spectra to archival molecular constants and the exact ab initio computation of molecular properties. Professional spectroscopists, kinetics, ab initio theorists will appreciate the practical, simplified-model, and rigorous theoretical approaches discussed in this book. A fundamental reference for all spectra of small, gas-phase molecules It is the most up-to-date and comprehensive book on the electronic spectroscopy and dynamics of diatomic molecules The authors pioneered the development of many of the experimental methods, concepts, models, and computational schemes described in this book
Download or read book Quantum Physics written by Arno Bohm and published by Springer Nature. This book was released on 2019-11-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory graduate course on quantum mechanics, which is presented in its general form by stressing the operator approach. Representations of the algebra of the harmonic oscillator and of the algebra of angular momentum are determined in chapters 1 and 2 respectively. The algebra of angular momentum is enlarged by adding the position operator so that the algebra can be used to describe rigid and non-rigid rotating molecules. The combination of quantum physical systems using direct-product spaces is discussed in chapter 3. The theory is used to describe a vibrating rotator, and the theoretical predictions are then compared with data for a vibrating and rotating diatomic molecule. The formalism of first- and second-order non-degenerate perturbation theory and first-order degenerate perturbation theory are derived in chapter 4. Time development is described in chapter 5 using either the Schroedinger equation of motion or the Heisenberg’s one. An elementary mathematical tutorial forms a useful appendix for the readers who don’t have prior knowledge of the general mathematical structure of quantum mechanics.
Download or read book Principles of Quantum Chemistry written by David V. George and published by Elsevier. This book was released on 2013-10-22 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Quantum Chemistry focuses on the application of quantum mechanics in physical models and experiments of chemical systems. This book describes chemical bonding and its two specific problems — bonding in complexes and in conjugated organic molecules. The very basic theory of spectroscopy is also considered. Other topics include the early development of quantum theory; particle-in-a-box; general formulation of the theory of quantum mechanics; and treatment of angular momentum in quantum mechanics. The examples of solutions of Schroedinger equations; approximation methods in quantum chemistry; symmetry in chemistry; and molecular-orbital theory are also covered. This publication is recommended for students taking undergraduate and graduate courses in quantum chemistry.
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 Atoms and Molecules written by Mitchel Weissbluth and published by Elsevier. This book was released on 2012-12-02 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: Atoms and Molecules describes the basic properties of atoms and molecules in terms of group theoretical methods in atomic and molecular physics. The book reviews mathematical concepts related to angular momentum properties, finite and continuous rotation groups, tensor operators, the Wigner-Eckart theorem, vector fields, and vector spherical harmonics. The text also explains quantum mechanics, including symmetry considerations, second quantization, density matrices, time-dependent, and time-independent approximation methods. The book explains atomic structure, particularly the Dirac equation in which its nonrelativistic approximation provides the basis for the derivation of the Hamiltonians for all important interactions, such as spin-orbit, external fields, hyperfine. Along with multielectron atoms, the text discusses multiplet theory, the Hartree-Fock formulation, as well as the electromagnetic radiation fields, their interactions with atoms in first and higher orders. The book explores molecules and complexes, including the Born-Oppenheimer approximation, molecular orbitals, the self-consistent field method, electronic states, vibrational and rotational states, molecular spectra, and the ligand field theory. The book can prove useful for graduate or advanced students and academicians in the field of general and applied physics.
Download or read book Quantum Mechanics of the Diatomic Molecule with Applications written by PARIGGER and published by Iop Expanding Physics. This book was released on 2019-11-13 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summarizing more than 30 years of quantitative analysis of temporally and spatially-resolved experimental records, and introducing insights that are essential in utilizing the inherent symmetries associated with diatomic molecules, this is a valuable reference to any academic engaged in the field of spectroscopy and serves as a comprehensive guide to anyone with a genuine interest in the subject.
Download or read book Angular Momentum written by William J. Thompson and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops angular momentum theory in a pedagogically consistent way, starting from the geometrical concept of rotational invariance. Uses modern notation and terminology in an algebraic approach to derivations. Each chapter includes examples of applications of angular momentum theory to subjects of current interest and to demonstrate the connections between various scientific fields which are provided through rotations. Includes Mathematica and C language programs.
Download or read book Introduction to the Quantum World of Atoms and Molecules written by Jens Peder Dahl and published by World Scientific. This book was released on 2001 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book provides a balanced and integrated introduction to the quantum world of atoms and molecules. The underlying basis of quantum mechanics is carefully developed, with respect for the historical tradition and from a molecular angle. The fundamental concepts in the theory of atomic and molecular structure are thoroughly discussed, as are the central techniques needed in quantum-chemical applications. Special attention is paid to exposing and clarifying the common ground of Hartree?Fock theory and density-functional theory. Throughout the text, the discussion is pedagogically obliging and aims at simplicity and mathematical clarity, while avoiding the use of advanced mathematics. End-of-chapter problems supplement the main text.
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.
Download or read book Spectra of Atoms and Molecules written by Peter F. Bernath and published by Oxford University Press, USA. This book was released on 2020 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is designed as a textbook to introduce advanced undergraduates and, particularly, new graduate students to the vast field of spectroscopy. It presumes that the student is familiar with the material in an undergraduate course in quantum mechanics. I have taken great care to review the relevant mathematics and quantum mechanics as needed throughout the book. Considerable detail is provided on the origin of spectroscopic principles. My goal is to demystify spectroscopy by showing the necessary steps in a derivation, as appropriate in a textbook. The digital computer has permeated all of science including spectroscopy. The application of simple analytical formulas and the nonstatistical graphical treatment of data are long dead. Modern spectroscopy is based on the matrix approach to quantum mechanics. Real spectroscopic problems can be solved on the computer more easily if they are formulated in terms of matrix operations rather than di erential equations. I have tried to convey the spirit of modern spectroscopy, through the extensive use of the language of matrices"--
Download or read book Molecular Dynamics and Spectroscopy by Stimulated Emission Pumping written by Hai-Lung Dai and published by World Scientific. This book was released on 1995 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first stimulated emission pumping (SEP) experiments more than a decade ago, this technique has proven powerful for studying vibrationally excited molecules. SEP is now widely used by increasing numbers of research groups to investigate fundamental problems in spectroscopy, intramolecular dynamics, intermolecular interactions, and even reactions. SEP provides rotationally pre-selected spectra of vibrationally highly excited molecules undergoing large amplitude motions. A unique feature of SEP is the ability to access systematically a wide variety of extreme excitations localized in various parts of a molecule, and to prepare populations in specific, high vibrational levels. SEP has made it possible to ask and answer specific questions about intramolecular vibrational redistribution and the role of vibrational excitation in chemical reactions.
Download or read book Proceedings of MEST 2012 Exponential Type Orbitals for Molecular Electronic Structure Theory written by and published by Academic Press. This book was released on 2013-11-19 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Quantum Chemistry presents surveys of current topics in this rapidly developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology. It features detailed reviews written by leading international researchers. This volume focuses on the theory of heavy ion physics in medicine. Advances in Quantum Chemistry presents surveys of current topics in this rapidly developing field and this volume focuses on the theory of heavy ion physics in medicine
Download or read book Introduction To The Quantum World Of Atoms And Molecules written by Jens Peder Dahl and published by World Scientific Publishing Company. This book was released on 2001-06-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book provides a balanced and integrated introduction to the quantum world of atoms and molecules. The underlying basis of quantum mechanics is carefully developed, with respect for the historical tradition and from a molecular angle. The fundamental concepts in the theory of atomic and molecular structure are thoroughly discussed, as are the central techniques needed in quantum-chemical applications. Special attention is paid to exposing and clarifying the common ground of Hartree-Fock theory and density-functional theory. Throughout the text, the discussion is pedagogically obliging and aims at simplicity and mathematical clarity, while avoiding the use of advanced mathematics. End-of-chapter problems supplement the main text.
