Download or read book Modelling of a diatomic molecule as a simple quantum harmonic oscillator An alternative perspective written by William Fidler and published by GRIN Verlag. This book was released on 2021-12-01 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Academic Paper from the year 2021 in the subject Physics - Quantum Physics, grade: 2.00, , language: English, abstract: In this paper, a diatomic molecule is modelled as a simple quantum harmonic oscillator. The conventional solution of the Time-Independent Schrödinger equation (TISE) yields the wave function as the product of a Gaussian and Hermite polynomials. It is argued that the limits set for the vanishing of the wave function in the conventional solution are inappropriate for the modelling of a diatomic molecule by such an oscillator; instead, we posit that the wave function vanishes at the limits of the excursions of the mass centres of the atoms from their equilibrium positions. It is shown that the energy eigenstates for the model developed here are given by: E = hv[ 1 + (n pi/4)^2], where the symbols have their usual connotation.
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 Three dimensional Collision Induced Vibrational Transitions in Homogeneous Diatomic Molecules written by C. Frederick Hansen and published by . This book was released on 1970 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: The one-dimensional, semiclassical theory of vibrational transitions in diatomic molecules is extended to three dimensions. Simple exponential interaction potentials are assumed and are spherically averaged to determine the collision trajectory that defines the perturbation. For use over the range of temperatures where small perturbation theory applies, fully analytic approximations are derived for the cross sections, the rate coefficients, and the relaxation rates. Vibrational transitions (predominantly changes of one vibrational level) are found to be accompanied by simultaneous rotational transitions (predominantly changes of zero and two rotational levels) with the result that vibrational transition rates are increased by 50 percent or more. The three-dimensional theory enables one to determine both the gradient and the magnitude of the potential, whereas only the gradient can be determined with one-dimensional theory. The theory can be fit to data reasonably well by appropriate choice of an "effective" interaction potential. This potential is considerably steeper and of shorter range than potentials appropriate for scattering. This is consistent with the concept that many interaction potentials exist for molecules, just as for atoms. We conclude that the steeper inner potentials are primarily responsible for vibrational transitions, whereas the outer potentials are primarily responsible for scattering.
Download or read book Molecular Quantum Mechanics written by Peter W. Atkins and published by Oxford University Press. This book was released on 2011 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text unravels those fundamental physical principles which explain how all matter behaves. It takes us from the foundations of quantum mechanics, through quantum models of atomic, molecular, and electronic structure, and on to discussions of spectroscopy, and the electronic and magnetic properties of molecules.
Download or read book 04 2527 04 2554 written by and published by . This book was released on 2004 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Chemistry written by Ajit Thakkar and published by Morgan & Claypool Publishers. This book was released on 2017-10-03 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides non-specialists with a basic understanding ofthe underlying concepts of quantum chemistry. It is both a text for second or third-year undergraduates and a reference for researchers who need a quick introduction or refresher. All chemists and many biochemists, materials scientists, engineers, and physicists routinely user spectroscopic measurements and electronic structure computations in their work. The emphasis of Quantum Chemistry on explaining ideas rather than enumerating facts or presenting procedural details makes this an excellent foundation text/reference. The keystone is laid in the first two chapters which deal with molecular symmetry and the postulates of quantum mechanics, respectively. Symmetry is woven through the narrative of the next three chapters dealing with simple models of translational, rotational, and vibrational motion that underlie molecular spectroscopy and statistical thermodynamics. The next two chapters deal with the electronic structure of the hydrogen atom and hydrogen molecule ion, respectively. Having been armed with a basic knowledge of these prototypical systems, the reader is ready to learn, in the next chapter, the fundamental ideas used to deal with the complexities of many-electron atoms and molecules. These somewhat abstract ideas are illustrated with the venerable Huckel model of planar hydrocarbons in the penultimate chapter. The book concludes with an explanation of the bare minimum of technical choices that must be made to do meaningful electronic structure computations using quantum chemistry software packages.
Download or read book Essential Classical Mechanics for Device Physics written by A F J Levi and published by Morgan & Claypool Publishers. This book was released on 2016-09-15 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continued advances in the precision manufacturing of new structures at the nanometer scale have provided unique opportunities for device physics. This book sets out to summarize those elements of classical mechanics most applicable for scientists and engineers studying device physics. Supplementary MATLAB® materials are available for all figures generated numerically.
Download or read book NASA Technical Report written by and published by . This book was released on 1970 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to the Theory of Atomic and Molecular Collisions written by John N. Murrell and published by . This book was released on 1989-09-04 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the scattering theory of low energy (0.1 to 1.0 eV) atomic and molecular collisions provides a strong theoretical background, maintaining a balance between classical and quantum approaches. Addresses the four main branches of the subject--elastic, inelastic and reactive scattering, and electron excitation--all supported by computational techniques.
Download or read book 7th AIAA ASME Joint Thermophysics and Heat Transfer Conference written by and published by . This book was released on 1998 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Physics of Quantum Mechanics written by James Binney and published by Oxford University Press, USA. This book was released on 2013-12 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Download or read book The Principles of Quantum Mechanics written by Paul Adrien Maurice Dirac and published by Oxford University Press. This book was released on 1981 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this work appeared in 1930, and its originality won it immediate recognition as a classic of modern physical theory. The fourth edition has been bought out to meet a continued demand. Some improvements have been made, the main one being the complete rewriting of the chapter on quantum electrodymanics, to bring in electron-pair creation. This makes it suitable as an introduction to recent works on quantum field theories.
Download or read book American Journal of Physics written by and published by . This book was released on 1986 with total page 1272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Archival journal targeted toward advanced-level physics and physics education, with its focus on the teaching and cultural aspects of physics.
Download or read book Quantum Mechanics in Chemistry written by Melvin W. Hanna and published by Addison Wesley Longman. This book was released on 1969 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes bibliographical references.
Download or read book Physics Briefs written by and published by . This book was released on 1994 with total page 1256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bell Telephone System Technical Publications written by Bell Telephone Laboratories and published by . This book was released on 1960 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
