Abstract
Cross sections for quasiatomic excitation by exchange scattering of electrons are calculated in the Born-Ochkur approximation for 3p-3d and 3d-3d transitions in transition-metal systems, and for 4d-4f and 4f-4f transitions in rare earths. The energy dependence of the spin polarization of 3p-3d and 4d-4f losses in reflection electron-energy-loss spectroscopy from ferromagnetic surfaces involves a balance of small-angle spin-dependent inelastic processes accompanied by a high-angle elastic scattering, and large-angle spin-flip exchange scattering without the need for elastic scattering. Both 3d-3d excitations, e.g., in transition-metal compounds, and 4f-4f excitations in rare earths involve spin-flip transitions whose scattering amplitudes g fall off with momentum transfer q such that the full width at half maximum q1/2 (in a.u.) is given by q1/2[r(nl] approximately 2, where [r(nl)] is the expectation value of r for the 3d or 4f electron. The angular width of the spin-flip differential cross section is then much greater than for dipole transitions, a pattern that helps to account for how these intra-atomic transitions compete with dipole processes for primary energies in excess of 100 eV.
Original language | English |
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Pages (from-to) | 2638-2641 |
Number of pages | 4 |
Journal | Physical Review B |
Volume | 50 |
Issue number | 4 |
Publication status | Published - 15 Jul 1994 |
Keywords
- GD