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II. Diffraction Physics
Author(s) -
Feil Dirk
Publication year - 1977
Publication title -
israel journal of chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.908
H-Index - 54
eISSN - 1869-5868
pISSN - 0021-2148
DOI - 10.1002/ijch.197700018
Subject(s) - scattering , convolution (computer science) , fourier series , chemistry , kinematics , electron , diffraction , crystal (programming language) , fourier transform , scattering theory , electron diffraction , series (stratigraphy) , born approximation , electron density , computational physics , quantum mechanics , physics , mathematical analysis , mathematics , paleontology , machine learning , computer science , artificial neural network , biology , programming language
Starting from the Schrödinger equation, the basic theory of scattering of X‐rays by electrons is given. The kinematic scattering, based on the first Born approximation, is treated in detail. The theory of phenomena, corresponding to a breakdown of this approximation, such as multiple and anomalous scattering, is given in outline. Kinematic scattering by a finite crystal is treated by using the convolution method. The consequences of finiteness of the crystal and of a series in a Fourier synthesis of the electron density are indicated.