Orbital Notation Definition
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The Orbit Method in Geometry and Physics
Author: Christian Duval
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
The volume is dedicated to AA. Kirillov and emerged from an international con ference which was held in Luminy, Marseille, in December 2000, on the occasion 6 of Alexandre Alexandrovitch's 2 th birthday. The conference was devoted to the orbit method in representation theory, an important subject that influenced the de velopment of mathematics in the second half of the XXth century. Among the famous names related to this branch of mathematics, the name of AA Kirillov certainly holds a distinguished place, as the inventor and founder of the orbit method. The research articles in this volume are an outgrowth of the Kirillov Fest and they illustrate the most recent achievements in the orbit method and other areas closely related to the scientific interests of AA Kirillov. The orbit method has come to mean a method for obtaining the representations of Lie groups. It was successfully applied by Kirillov to obtain the unitary rep resentation theory of nilpotent Lie groups, and at the end of this famous 1962 paper, it was suggested that the method may be applicable to other Lie groups as well. Over the years, the orbit method has helped to link harmonic analysis (the theory of unitary representations of Lie groups) with differential geometry (the symplectic geometry of homogeneous spaces). This theory reinvigorated many classical domains of mathematics, such as representation theory, integrable sys tems, complex algebraic geometry. It is now a useful and powerful tool in all of these areas.
Chemistry
Note: If you are purchasing an electronic version, MasteringChemistry does not come automatically with it. To purchase MasteringChemistry, please visit www.masteringchemistry.com or you can purchase a package of the physical text and MasteringChemistry by searching for ISBN 10: 0133070522 / ISBN 13: 9780133070521. The most successful general chemistry textbook published in 30 years is now specifically written for Canadian students. This innovative, pedagogically driven text explains difficult concepts in a student-oriented manner. The book offers a rigorous and accessible treatment of general chemistry in the context of relevance. Chemistry is presented visually through multi-level images-macroscopic, molecular and symbolic representations-helping students see the connections among the formulas (symbolic), the world around them (macroscopic), and the atoms and molecules that make up the world (molecular). Chemistry: A Molecular Approach, First Canadian edition offers expanded coverage of organic chemistry, employs SI units, and brings the text in line with IUPAC conventions. This first Canadian edition is accompanied by Pearson's MasteringChemistry, the most advanced, most widely used online chemistry tutorial and homework program in the world. If you are purchasing an electronic version, MasteringChemistry does not come automatically packaged with the text. To purchase MasteringChemistry, please visit: www.masteringchemistry.com or you can purchase a package of the physical text + MasteringChemistry by searching for ISBN 10: 0133070522 / ISBN 13: 9780133070521.
Orbital Interaction Theory of Organic Chemistry
A practical introduction to orbital interaction theory and its applications in modern organic chemistry Orbital interaction theory is a conceptual construct that lies at the very heart of modern organic chemistry. Comprising a comprehensive set of principles for explaining chemical reactivity, orbital interaction theory originates in a rigorous theory of electronic structure that also provides the basis for the powerful computational models and techniques with which chemists seek to describe and exploit the structures and thermodynamic and kinetic stabilities of molecules. Orbital Interaction Theory of Organic Chemistry, Second Edition introduces students to the fascinating world of organic chemistry at the mechanistic level with a thoroughly self-contained, well-integrated exposition of orbital interaction theory and its applications in modern organic chemistry. Professor Rauk reviews the concepts of symmetry and orbital theory, and explains reactivity in common functional groups and reactive intermediates in terms of orbital interaction theory. Aided by numerous examples and worked problems, he guides readers through basic chemistry concepts, such as acid and base strength, nucleophilicity, electrophilicity, and thermal stability (in terms of orbital interactions), and describes various computational models for describing those interactions. Updated and expanded, this latest edition of Orbital Interaction Theory of Organic Chemistry includes a completely new chapter on organometallics, increased coverage of density functional theory, many new application examples, and worked problems. The text is complemented by an interactive computer program that displays orbitals graphically and is available through a link to a Web site. Orbital Interaction Theory of Organic Chemistry, Second Edition is an excellent text for advanced-level undergraduate and graduate students in organic chemistry. It is also a valuable working resource for professional chemists seeking guidance on interpreting the quantitative data produced by modern computational chemists.