ISSN:
1600-5724
Source:
Crystallography Journals Online : IUCR Backfile Archive 1948-2001
Topics:
Chemistry and Pharmacology
,
Geosciences
,
Physics
Notes:
The Feynman path-integral formulation of quantum mechanics is used to investigate the theoretical problem of the propagation of high-energy electrons through thin crystalline specimens. The primary objective is to find a satisfactory scattering approximation that accurately describes the transmitted (elastically scattered) wave, and still retains a mathematically invertible relation between the transmitted wave function and the specimen structure. It is shown that the path-integral method leads naturally to an invertible, higher-order, phase-object approximation, in addition to the usual kinematic approximation and the usual phase-object approximation. The higher-order phase-object approximation in turn leads to the noninvertible, multislice approximation of Cowley & Moodie, which had previously been derived by those authors from a semi-classical, physical-optics point of view.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1107/S0567739478000170
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