Collision Of Dimensions
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Three-dimensional Collision Induced Vibrational Transitions in Homogeneous Diatomic Molecules
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.
MECHANICS, FOURTH EDITION
The book, Mechanics, now in its fourth edition, is an extended version of previous edition titled as Mechanics and Relativity. It has been mainly written according to the new syllabus of Choice Based Credit System (CBCS). It is primarily meant to serve the requirements of the first-year of the core as well as the general elective courses of the B.Sc. (Hons.) students of Physics. The book contains numerous illustrations and many solved examples that help the student in understanding the concepts clearly. A large number of chapter-end questions and numerical varieties will help to test the students' grasping of the subjects covered. NEW TO THE FOURTH EDITION • Chapters on ‘Fundamentals of Dynamics’, ‘Rotational Dynamics’, ‘Elasticity’, ‘Fluid Motion’, ‘Gravitation and Central Force Motion’, and ‘Oscillations’ have been introduced. • Chapters on ‘Collisions’ and ‘Non-inertial Systems’ have been modified from the previous edition to meet the requirements of the new syllabus. • Chapter on ‘Special Theory of Relativity’ and a new concept of ‘Michelson-Morley Experiment’ along with its mathematical proof has been covered. • The topics of general elective syllabus which include ‘Vectors’, ‘Ordinary Differential Equations’ and ‘Laws of Motion’ have also been added. TARGET AUDIENCE • B.Sc. (Honours) Physics
Physics
Designed for medical professionals who may struggle with making the leap to conceptual understanding and applying physics, the eighth edition continues to build transferable problem-solving skills. It includes a set of features such as Analyzing-Multiple-Concept Problems, Check Your Understanding, Concepts & Calculations, and Concepts at a Glance. This helps the reader to first identify the physics concepts, then associate the appropriate mathematical equations, and finally to work out an algebraic solution.