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Multiple Scattering Theory for Spectroscopies

Author : Didier Sébilleau
Publisher : Springer
Page : 416 pages
File Size : 41,35 MB
Release : 2018-04-05
Category : Science
ISBN : 3319738119

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This edited book, based on material presented at the EU Spec Training School on Multiple Scattering Codes and the following MSNano Conference, is divided into two distinct parts. The first part, subtitled “basic knowledge”, provides the basics of the multiple scattering description in spectroscopies, enabling readers to understand the physics behind the various multiple scattering codes available for modelling spectroscopies. The second part, “extended knowledge”, presents “state- of-the-art” short chapters on specific subjects associated with improving of the actual description of spectroscopies within the multiple scattering formalism, such as inelastic processes, or precise examples of modelling.

Multiple Scattering

Author : P. A. Martin
Publisher : Cambridge University Press
Page : 13 pages
File Size : 50,94 MB
Release : 2006-08-03
Category : Mathematics
ISBN : 0521865549

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Multiple Scattering in Solids

Author : Antonios Gonis
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 10,36 MB
Release : 2012-12-06
Category : Science
ISBN : 1461212901

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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.

Multiple Scattering Theory

Author : Dr J. S. Faulkner
Publisher : Iph001
Page : 400 pages
File Size : 25,33 MB
Release : 2018-12-27
Category : Science
ISBN : 9780750314886

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In 1947, it was discovered that multiple scattering theory (MST) can be used to solve the Schröedinger equation for the stationary states of electrons in a solid. Written by experts in the field, J S Faulkner, G Malcolm Stocks and Yang Wang, this book collates the results of numerous studies in the field of MST and provides a comprehensive, systematic approach to it. For many scientists, students and engineers working with multiple scattering programmes, this will be a useful guide to help expand the existing knowledge of MST as well as understanding its future implications.

Multiple Scattering Theory: Electronic Structure of Solids

Author : J. S. Faulkner
Publisher : Institute of Physics Publishing
Page : 132 pages
File Size : 48,3 MB
Release : 2018-12-27
Category : Science
ISBN : 9780750318976

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In 1947, it was discovered that multiple scattering theory (MST) can be used to solve the Schröedinger equation for the stationary states of electrons in a solid. Written by experts in the field, J S Faulkner, G Malcolm Stocks and Yang Wang, this book collates the results of numerous studies in the field of MST and provides a comprehensive, systematic approach to it. For many scientists, students and engineers working with multiple scattering programmes, this will be a useful guide to help expand the existing knowledge of MST as well as understanding its future implications.

Reflectance Spectroscopy

Author : Gustav Kortüm
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 37,82 MB
Release : 2012-12-06
Category : Science
ISBN : 3642880711

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Reflectance spectroscopy is the investigation of the spectral composi tion of surface-reflected radiation with respect to its angularly dependent intensity and the composition of the incident primary radiation. Two limiting cases are important: The first concerns regular (specular) reflection from a smooth surface, and the second diffuse reflection from an ideal matte surface. All possible variations are found in practice between these two extremes. For the two extreme cases, two fundamentally different methods of reflectance spectroscopy are employed: The first of these consists in evaluating the optical constants n (refractive index) and x (absorption index) from the measured regular reflection by means of the Fresnel equations as a function of the wave A. This rather old and very troublesome procedure, which is length incapable of very accurate results, has recently been modified by Fahren fort by replacing the air-sample phase boundary by the phase boundary between a dielectric of higher refractive index (n ) and the sample (n ). 1 2 If the sample absorbs no radiation and the angle of incidence exceeds a certain definite value, total reflection occurs. On close optical contact between the two phases, a small amount of energy is transferred into the less dense phase because of diffraction phenomena at the edges of the incident beam. The energy flux in the two directions through the phase boundary caused by this is equal, however, so that 'total reflection takes place.