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Crystallography --- Crystallography, Mathematical --- Cristallographie --- Cristallographie mathématique
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In recent years there have been exciting developments in techniques for producing multilayered structures of different materials, often with thicknesses as small as only a few atomic layers. These artificial structures, known as superlattices, can either be grown with the layers stacked in an alternating fashion (the periodic case) or according to some other well-defined mathematical rule (the quasiperiodic case). This book describes research on the excitations (or wave-like behavior) of these materials, with emphasis on how the material properties are coupled to photons (the quanta of the l
Periodic functions. --- Lattice theory. --- Lattices (Mathematics) --- Space lattice (Mathematics) --- Structural analysis (Mathematics) --- Algebra, Abstract --- Algebra, Boolean --- Group theory --- Set theory --- Topology --- Transformations (Mathematics) --- Crystallography, Mathematical --- Functions, Periodic
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This book is based on a one-semester course for advanced undergraduates specializing in physical chemistry. I am aware that the mathematical training of most science majors is more heavily weighted towards analysis – typ- ally calculus and differential equations – than towards algebra. But it remains my conviction that the basic ideas and applications of group theory are not only vital, but not dif?cult to learn, even though a formal mathematical setting with emphasis on rigor and completeness is not the place where most chemists would feel most comfortable in learning them. The presentation here is short, and limited to those aspects of symmetry and group theory that are directly useful in interpreting molecular structure and spectroscopy. Nevertheless I hope that the reader will begin to sense some of the beauty of the subject. Symmetry is at the heart of our understanding of the physical laws of nature. If a reader is happy with what appears in this book, I must count this a success. But if the book motivates a reader to move deeper into the subject, I shall be grati?ed.
Symmetry groups. --- Quantum chemistry. --- Chemistry, Physical organic. --- Physical Chemistry. --- Atomic, Molecular, Optical and Plasma Physics. --- Physical chemistry. --- Atoms. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Chemistry, Physical and theoretical --- Matter --- Stereochemistry --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Constitution --- Chemistry, Quantum --- Quantum theory --- Excited state chemistry --- Groups, Symmetry --- Symmetric groups --- Crystallography, Mathematical --- Representations of groups
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Reissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. It is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. It is also of interest to theoretical physicists concerned with the conceptual basis of equilibrium statistical mechanics. The level of the presentation is generally advanced, the objective being to provide an efficient research tool and a text for use in graduate teaching. Background material on mathematics has been collected in appendices to help the reader. Extra material is given in the form of updates of problems that were open at the original time of writing and as a new preface specially written for this new edition by the author.
Statistical mechanics. --- Lattice theory. --- Thermodynamics. --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Lattices (Mathematics) --- Space lattice (Mathematics) --- Structural analysis (Mathematics) --- Algebra, Abstract --- Algebra, Boolean --- Group theory --- Set theory --- Topology --- Transformations (Mathematics) --- Crystallography, Mathematical --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics --- Lattice theory
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The seventh edition of this classic text illustrates the fundamentals of the electrical properties of materials in the context of contemporary engineering applications. Written in an informal, accessible style, it emphasizes the core ideas relevant to understanding the subject and deliberately keeps the mathematical treatment simple. The book presents the simplest model that can display the essential properties of a phenomenon and examines it, showing the difference between ideal and actual behavior. Topics are selected so that the operation of devices having applications (or possible future applications) in engineering can be explained. Problems and worked examples are included throughout. Features of the Seventh Edition BLPresents a comprehensive treatment of light emitting diodes, which are rapidly replacing classical lighting sources BLCovers new topics such as organic material (including various polymers) and artificial materials (including photonic gap materials and metamaterials) BLProvides insight into cutting-edge fields such as amorphous semiconductors and nanotechnology BLDiscusses new devices including nanotube transistors, single electron transistors, magnetic tunnel junctions, quantum cascade lasers, and ferroelectric and superconducting memories BLA solutions manual and illustrations from the text are available for download at: http://www.oup.com/uk/booksites/content/0199267936/
62-039 --- Energy-band theory of solids --- Free electron theory of metals --- Materials --- -Solids --- -Solid state physics --- Transparent solids --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Metals --- Band theory of solids --- Conduction band --- Crystallography, Mathematical --- Electrons --- Exciton theory --- Molecules --- Quantum theory --- Solids --- Wave mechanics --- Engineering materials in general --- Electric properties --- Energy-band theory of solids. --- Free electron theory of metals. --- Electric properties. --- -Engineering materials in general --- 62-039 Engineering materials in general --- -62-039 Engineering materials in general
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