Excerpt from A Method of Calculating Cross Sections for Molecular Collisions: October, 1954
The aim of the work is to calculate the cross section for the excitation of molecular vibrations by collisions between a molecule and another molecule or an atom, at energies so low that the translational and vibrational energies are of the same order of magnitude. Processes of this kind are basic to many gas phase chemical reactions and also to phenomena such as the "vibrational relaxation" that has been suggested as a mechanism for the large absorption of high-frequency sound in gases.
Numerous quantum mechanical calculations of this kind of process have been made and the correct order of magnitude for the cross section has been obtained. The problem of measuring cross sections for this kind of process experimentally is a very difficult one because the energy of translation is low, so that no detailed numerical data such as angular distributions can be expected. From a theoretical standpoint there are serious difficulties connected with the form of the intermolecular potential, and also with the mathematical treatment of the translational motion.
On account of the complexity of the problem, which arises from the large number of electrons and nuclei involved, it has not been possible to give convincing quantitative calculations of the intermolecular (van der Waals) potential for any but the very simplest systems. The quantitative knowledge that is available on the van der Waals potential of most molecules has been derived from a knowledge of macroscopic properties of the gas, such as the viscosity and the second virial coefficient, by means of various statistical mechanical models.
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Paperback. Condition: New. Print on Demand. This book presents an innovative method for calculating the cross sections of slow inelastic molecular collisions. The author discusses how quantum and classical features are combined to elucidate a problem previously treated as purely classical or quantum mechanical. The method presented is distinguished by its use of impact parameters to calculate total cross sections, offering a more accurate and efficient approach than existing perturbation methods. The book provides a detailed exploration of the WKB method and perturbation matrix elements, aiming to aid understanding of the complex interactions at play in molecular collisions. Ultimately, the insights gained from this method contribute to the field of theoretical chemistry and provide a foundation for further research into the behavior of molecules at the quantum level. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332157013_0
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