Retrieval of single-loss profiles from energy-loss spectra A new approach
- 1 January 1983
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine Part B
- Vol. 47 (5) , 555-560
- https://doi.org/10.1080/13642812.1983.11643262
Abstract
A new method to recover the single-loss probability p, from an electron-energy—loss spectrum, taken in transmission, is presented. Previously used methods are either limited to specimens not exceeding a thickness of one mean free path length, or afford data-sampling over much more of an extended energy interval than one is interested in. The new method exhibits neither of these shortcomings. Assuming that no energy-gain processes take place, all spectra involved are redefined in terms of triangular matrices. Based upon the Poisson distribution for multiple scattering, a series expansion for the matrix corresponding to p1 is then derived. The series is shown to converge for any finite thickness of the specimen.Keywords
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