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This book describes atomic orbitals at a level suitable for undergraduates in chemistry. The mathematical treatment is brought to life by many illustrations rendered from mathematical functions (no artists' impressions), including three-dimensional plots of angular functions, showing orbital phase, and contour plots of the wavefunctions that result from orbital hybridisation.Orbitals extends the key fundamental quantum properties to many-electron atoms, linear combinations of atomic orbitals, simple molecules, delocalised systems and atomic spectroscopy. By focusing on simple model systems, use of analogies and avoiding group theory the results are obtained from initial postulates without the need for sophisticated mathematics.
'Without being an explicitly philosophical treatise Chas McCaw's book delves into some of the deepest and most difficult aspects of atomic physics and chemistry and its underlying quantum mechanical account … One of the many strengths of the book under review is that it takes a rigorous and unflinching look at the necessary mathematical details. In addition, the author, who is the Head of Science at Winchester College in the UK, provides as many as 107 exercises which are interspersed throughout the main text. The detailed solutions are given at the end of the book, over a sequence of about 50 pages.'Foundations of ChemistryOrbitals: With Applications in Atomic Spectra describes atomic orbitals at a level suitable for undergraduates in chemistry. The mathematical treatment is brought to life by many illustrations rendered from mathematical functions (no artists' impressions), including three-dimensional plots of angular functions, showing orbital phase, and contour plots of the wavefunctions that result from orbital hybridisation.This revised edition includes new discussion of the origins of the colour of gold and the 'accidental degeneracy' of the hydrogen atom subshells, a new figure, a new exercise and worked solution, as well as several new references. It also contains current and accurate updates to the old edition.Orbitals extends the key fundamental quantum properties to many-electron atoms, linear combinations of atomic orbitals, simple molecules, delocalised systems and atomic spectroscopy. By focusing on simple model systems, use of analogies and avoiding group theory, results are obtained from initial postulates without the need for sophisticated mathematics. The book explains topics from first principles and guides the reader carefully through the necessary mathematics, supplemented by worked solutions to problems.
Symmetry is at the heart of our understanding of matter. This book tells the fascinating story of the constituents of matter from a common symmetry perspective. The standard model of elementary particles and the periodic table of chemical elements have the common goal to bring order in the bewildering chaos of the constituents of matter. Their success relies on the presence of fundamental symmetries in their core. The purpose of Shattered Symmetry is to share the admiration for the power and the beauty of these symmetries. The reader is taken on a journey from the basic geometric symmetry group of a circle to the sublime dynamic symmetries that govern the motions of the particles. Along the way the theory of symmetry groups is gradually introduced with special emphasis on its use as a classification tool and its graphical representations. This is applied to the unitary symmetry of the eightfold way of quarks, and to the four-dimensional symmetry of the hydrogen atom. The final challenge is to open up the structure of Mendeleev's table which goes beyond the symmetry of the hydrogen atom. Breaking this symmetry to accommodate the multi-electron atoms requires us to leave the common ground of linear algebras and explore the potential of non-linearity.
The text starts off by looking at quantum mechanics and the relationship of quantum mechanics with light. The next chapter considers the structure and spectrum of the hydrogen atoms. The text also covers the spectrum of the helium atom. Finally, the text examines the spectra of many-electron atoms.
This Comprehensive Text Clearly Explains Quantum Theory, Wave Mechanics, Structure Of Atoms And Molecules And Spectroscopy.The Book Is In Three Parts, Namely, Wave Mechanics; Structure Of Atoms And Molecules; And Spectroscopy And Resonance Techniques.In A Simple And Systematic Manner, The Book Explains The Quantum Mechanical Approach To Structure, Along With The Basic Principles And Application Of Spectroscopic Methods For Molecular Structure Determination.The Book Also Incorporates The Electric And Magnetic Properties Of Matter, The Symmetry, Group Theory And Its Applications.Each Chapter Includes Many Solved Examples And Problems For A Better Understanding Of The Subject.With Its Exhaustive Coverage And Systematic Approach, This Is An Invaluable Text For B.Sc. (Hons.) And M.Sc. Chemistry Students.
Many courses dealing with the material in this text are called "Applications of Group Theory." Emphasizing the central role and primary importance of symmetry in the applications, Symmetry in Bonding and Spectra enables students to handle applications, particularly applications to chemical bonding and spectroscopy. It contains the essential background in vectors and matrices for the applications, along with concise reviews of simple molecular orbital theory, ligand field theory, and treatments of molecular shapes, as well as some quantum mechanics. Solved examples in the text illustrate theory and applications or introduce special points. Extensive problem sets cover the important methods and applications, with the answers in the appendix.
This second edition course text introduces the fundamental quantum physics of atoms and molecules. With revised and extended content, this book is the first volume in a series of three aiming to present a broad coverage of atomic, molecular, solid-state and statistical physics. Divided into three parts, the first provides a historical perspective leading to the contemporary view of atomic and molecular physics, outlining the principles of non-relativistic quantum mechanics. The second covers the physical description of atoms and their interaction with radiation, whilst the third deals with molecular physics. The book's pedagogical features include conceptual layout sections that define the goals of each chapter, a simplified but rigorous mathematical apparatus, and a thorough discussion of approximations used to develop the adopted physical models. Key Features Fills a gap for a self-contained undergraduate textbook in atomic and molecular physics Is tailored for a one-semester course Focuses on a selected set of topics, whilst also providing substantial, in-depth coverage of the subject Emphasises phenomenology rather than mathematics/formalism Uses various pedagogical features, including end-of-chapter exercises with solutions
For beginners and specialists in other fields: the Nobel Laureate's introduction to atomic spectra and their relationship to atomic structures, stressing basics in a physical, rather than mathematical, treatment. 80 illustrations.
Spectroscopy is the study of electromagnetic radiation and its interaction with solid, liquid, gas and plasma. It is one of the widely used analytical techniques to study the structure of atoms and molecules. The technique is also employed to obtain information about atoms and molecules as a result of their distinctive spectra. The fast-spreading field of spectroscopic applications has made a noteworthy influence on many disciplines, including energy research, chemical processing, environmental protection and medicine. This book aims to introduce students to the topic of spectroscopy. The author has avoided the mathematical aspects of the subject as far as possible; they appear in the text only when inevitable. Including topics such as time-dependent perturbation theory, laser action and applications of Group Theory in interpretation of spectra, the book offers a detailed coverage of the basic concepts and applications of spectroscopy.