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A Simple Derivation of the Layer-Kkr Theory of Leed

Published online by Cambridge University Press:  25 February 2011

P.M. Marcus
P.M. Marcus*
Affiliation:
IBM Research Center, Yorktown Heights, New York 10598, U.S.A
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Abstract

The equations of the layer-KKR method for finding the intensities of electrons diffracted by a semi-infinite layered structure are derived in a simple way by use of three identities relating spherical and plane waves and by use of a compact notation. The third identity, which transforms a sum of outgoing spherical waves on a twodimensional array intoa sum of plane waves or beams, is a very useful simplification of the derivation, which does not appear in texts on LEED. Explicit linear equations are derived for amplitudes of outgoing spherical waves produced by diffraction of an incident beam first by a singleBravais net and then generalized to a composite layer made up of several Bravais nets; matrix elements of the beam reflection and transmission matrices for a single Bravais netand for a composite layer are given, and also the exact interlayer matrix equation for the reflection matrix of the semi-infinite structure.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 253: Symposium V – Application of Multiple Scattering Theory to Materials Science , 1991 , 459
Copyright
Copyright © Materials Research Society 1992

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References

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