Fundamentals of Inelastic Electron Scattering by P. Schattschneider

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By P. Schattschneider

Electron strength loss spectroscopy (ELS) is an unlimited topic with a protracted and honorable background. the matter of forestalling energy for top strength debris the earliest pioneers of quantum mechanics similar to Bohr and Bethe, who laid the theoretical foun­ dations of the topic. The experimental origins could might be be traced to the unique Franck-Hertz test. the fashionable box contains subject matters as assorted as low power mirrored image electron power loss stories of floor vibrational modes, the spectroscopy of gases and the fashionable conception of plasmon excitation in crystals. For the research of ELS in electron microscopy, a number of traditionally special parts of physics are suitable, together with the idea of the Debye­ Waller issue for digital inelastic scattering, using advanced optical potentials, lattice dynamics for crystalline specimens and the speculation of atomic ionisation for remoted atoms. but the box of electron power loss spectroscopy includes few invaluable texts which might be prompt for college kids. With the hot visual appeal of Raether's and Egerton's hooks (see textual content for references), now we have for the 1st time either a complete overview text-due to Raether-and a lucid introductory textual content which emphasizes experimental aspects-due to Egerton. Raether's textual content has a tendency to stress the hot paintings on floor plasmons, whereas the power of Egerton's ebook is its therapy of internal shell excitations for microanalysis, in line with using atomic wavefunctions for crystal electrons.

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D3rNCP'· (rl ... TN )CP(TI ... 11) V is the interaction potential between probe electron at position r and one atom (since the target is an arrangement of non-interacting atoms, as long as inner shell excitations are considered): V= -Ne2 r e2 +2: 1r-" N 1 -"I. 12) The d3 r-integration in Eq. 13) a- r 1-" -"I e 2 e , J r - ri q 19 where if = ka - kb is the wave vector transferred during interaction. Eventually, one obtains from Eqs. 13): . 8(E

5 . gM d(EIRI L Fig. 3. Photographs of a plastic model of the Bethe surface for atomic hydrogen. The horizontal axes for E / R and In (q aO) 2 define the base plane. The vertical axis represents Rdf( q , E)/dE. The fourteen plates are placed at E/ R =3/4,8/9,1,5/4,3/2,2,3,4,5,6,7,8,9,10. The first two plates represent the discrete spectrum, in which case the vertical scale corresponds to ~n3 fn( q), n being the principal quantum number. The dotted curve on the base plane shows the location (q ao) 2 E/ R of the Bethe ridge, which is the main feature for = large E/ R.

O 5~---:1O~---:1~5 ENERGY LOSS (RYD8ERGS) Fig. 7. Total L-shell continuum energy-loss cross section for I-MeV protons. The solid curve has been obtained by the method described in the text, the dashed curves are the contributions of the individual subshells, and the dotdashed curve is the hydrogenic result. 13]. g. 12]). As an example, the GOS thus obtained for continuum transitions from the 2p-shell of Al are given in Fig. 6. 13]. See also Fig. 7. 10. Qualitative Interpretation These results can be understood qualitatively as follows: Eq.

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