A description of general techniques for solving linear partial differential equations by dividing space into regions to which the equations are independently applied and then assembling a global solution from the partial ones. Intended for researchers and graduates involved in calculations of the electronic structure of materials, this will also be of interest to workers in quantum chemistry, electron microscopy, acoustics, optics, and other fields. The book begins with an intuitive approach to scattering theory and then turns to partial waves and a formal development of multiple scattering theory, with applications to the solid state. The authors then present a variational derivation of the formalism and an augmented version of the theory, concluding with a discussion of the relativistic formalism and a discussion of the Poisson equation. Appendices discuss Green's functions, spherical functions, Moller operators and the Lippmann-Schwinger equation, irregular solutions, and singularities in Green's functions.

Experiment and Phenomenology: Experimental Determination of Phase Diagrams; G. Inden. Phenomenological Calculations of Phase-Equilibria; A.P. Miodownik. Diffuse Scattering Determination of Short Range Order in Alloys; W. Schweika. Electronic Approach to Stability and Transformations: The Energetics of Ordered Intermetallic Alloys; R.E. Watson, et al. Quantum Theory of Structure; J. Hafner. First Principles Theory of Disordered Alloys and Alloy Phase Stability; G.M. Stocks, et al. Statics of Alloy Transformations: Monte Carlo Simulations of Alloy Phase Transformations; K. Binder. The Cluster Variation Method and Some Applications; A. Finel. The Direct Monte Carlo Method for Calculating Alloy Phases; J.S. Faulkner, et al. Kinetics and Dynamics of Alloy Transformations: Morphology Transformations in Ordering and Phase Separating Materials; A.G. Khachaturyan, et al. Alloys Under External Forcing; G. Martin, P. Bellon. 43 additional articles. Index.

One of the key aspects of this volume is to cut across the traditional taxonomy of disciplines in the study of alloys. Hence there has been a deliberate attempt to integrate the different approaches taken towards alloys as a class of materials in different fields, ranging from geology to metallurgical engineering. The emphasis of this book is to highlight commonalities between different fields with respect to how alloys are studied. The topics in this book fall into several themes, which suggest a number of different classification schemes. We have chosen a scheme that classifies the papers in the volume into the categories Microstructural Considerations, Ordering, Kinetics and Diffusion, Magnetic Considerations and Elastic Considerations. The book has juxtaposed apparently disparate approaches to similar physical processes, in the hope of revealing a more dynamic character of the processes under consideration. This monograph will invigorate new kinds of discussion and reveal challenges and new avenues to the description and prediction of properties of materials in the solid state and the conditions that produce them.

X-Ray Scattering from Surfaces and Interfaces; R.A. Cowley. Scanning Tunneling Microscopy; H. Niehus. Atomistic Simulations of Surfaces and Interfaces; S. Foiles. Theory of Electron States at Surfaces and Interfaces; M. Schluter. Embedding for Surfaces and Interfaces; J.E. Inglesfield. Magnetic Phase Transitions at and Between Interfaces; B.L. Gyorffy, C. Walden. Surfaces and Magnetic Effects in Core Level Photoemission; P.J. Durham. Low Energy Ion Scattering at Extremely Low Ion Doses; R.G. van Welzenis, et al. X-Ray and Light Scattering Studies of Electrode Surfaces and Interfaces; C.A. Melendres. Point to Point Resolution in Scanning Auger Electron Spectroscopy at High-Energy Primary Beam Energies for Surface and Interface Analysis; A.G. Nassiopoulos, N.M. Glezos. Volume and Interfacial Properties of Metal/Rare Earth Oxide/Metal Structures; T. Wiktorczyk. The Real-Space Multiple-Scattering Theory; E.C. Sowa, et al. 10 additional articles. Index.

Characterization and Phase Stability: Theory and Computational Methods: Energetics of Alloys; J.S. Faulkner, et al. Crystal Structure and Phase Stability in Fe1xCox from Ab Initio Theory; P. Soederlind, et al. Spectroscopy and Characterization: NMR Spectroscopic Investigations of Surface and Interlayer Species on Minerals, Clays, and Other Oxides; R.J. Kirkpatrick, et al. Sonochemical Synthesis of Amorphous Bimetallic FeNi Alloys; K.V.P.M. Shafi, et al. Experimental Determination and Assessment of Phase Diagrams: Polymeric Alloys: Model Materials for the Understanding of the Statistical Thermodynamics of Mixtures; K. Binder, et al. Investigation of Ordering Kinetics in Deformed and Annealed Cu3Au; H. Land, W. Pfeiler. Electronic Structure and Transport: Theory and Computational Methods: Improved LMTOASA Methods Part II: Total Energy; R.W. Tank, et al. Effects of Interface Intermixing on the Magnetic Interlayer Coupling; A.M.N. Niklasson, et al. Electrical Conductivity: Experiment and Theory: Electrical Conductivity of Inhomogeneous Systems: Application to Magnetic Multilayers and Giant Magnetoresistance; W.H. Butler, et al. Ab Initio Molecular Dynamics Simulations of Liquid Alloys: Network Formation, Structure Factors and Electrical Conductivity of NaSn Alloy; R. Kaschner, et al. Electronic Topological Transitions: Characterization and Phase Stability of Bulk Amorphous Alloys; R.B. Schwarz. Electronic Topological Transitions and Compositional Order in CuPd and CuPt Alloys; E. Bruno, B. Ginatempo. Mechanical Properties: Micromechanics and MicrostructuralCharacterization: Nucleation and Morphology of Growth Processes: Structure and Deformation of Al-Rich TiAl Single Crystals; H. Inui, M. Yamaguchi. Experimental Studies on Precursor Phenomena in Displacive Phase Transformations; D. Schryvers. Theory and Computational Methods: Calculating Grain Boundary Energies and Other Defect Energies in Ordered Alloys; W. Finnis. Atomistic Study of Structure and Mobility of Dislocations in NiAl; R. Schroll, et al. Superplasticity: Texture and Structure of Superplastically Deformed AlZn Based Alloys; R. Ciach, et al. Effect of Liquid Phase on Superplasticity at High Strain Rates in Metals and Their Composites; T.G. Nieh, J. Wadsworth. Multiple Scattering Theory and Applications: A KKR and KKRCPA Code for Any Bravais Lattice; E. Bruno, B. Ginatempo. Full Multiple Scattering Calculation on HgTe Under High Pressure at the Mercury L3 X-Ray Absorption Edge; V. Briois, et al. 40 additional articles. Index.

One of the key aspects of this volume is to cut across the traditional taxonomy of disciplines in the study of alloys. Hence there has been a deliberate attempt to integrate the different approaches taken towards alloys as a class of materials in different fields, ranging from geology to metallurgical engineering. The emphasis of this book is to highlight commonalities between different fields with respect to how alloys are studied. The topics in this book fall into several themes, which suggest a number of different classification schemes. We have chosen a scheme that classifies the papers in the volume into the categories Microstructural Considerations, Ordering, Kinetics and Diffusion, Magnetic Considerations and Elastic Considerations. The book has juxtaposed apparently disparate approaches to similar physical processes, in the hope of revealing a more dynamic character of the processes under consideration. This monograph will invigorate new kinds of discussion and reveal challenges and new avenues to the description and prediction of properties of materials in the solid state and the conditions that produce them.

A description of general techniques for solving linear partial differential equations by dividing space into regions to which the equations are independently applied and then assembling a global solution from the partial ones. Intended for researchers and graduates involved in calculations of the electronic structure of materials, this will also be of interest to workers in quantum chemistry, electron microscopy, acoustics, optics, and other fields. The book begins with an intuitive approach to scattering theory and then turns to partial waves and a formal development of multiple scattering theory, with applications to the solid state. The authors then present a variational derivation of the formalism and an augmented version of the theory, concluding with a discussion of the relativistic formalism and a discussion of the Poisson equation. Appendices discuss Green's functions, spherical functions, Moller operators and the Lippmann-Schwinger equation, irregular solutions, and singularities in Green's functions.