Atomic Nuclear Physics

Photoelectron Spectroscopy: Principles and Applications by Professor Dr. Stefan Hüfner (auth.)

By Professor Dr. Stefan Hüfner (auth.)

Photoelectron Spectroscopy provides an updated creation to the sphere via comprehensively treating the digital buildings of atoms, molecules, solids, and surfaces. short descriptions are given of inverse photoemission, spin-polarized photoemission and photoelectron diffraction. Experimental facets are thought of during the e-book and the implications are conscientiously interpreted when it comes to the speculation. A wealth of measured information is gifted in tabular shape for simple use via experimentalists. This re-creation has been considerably up-to-date and extended.

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Sample text

For a discussion of the transition matrix element we have to make certain assumptions about the wave functions contained in it. In the simplest approximation one can take a one-electron view for the initial- and final-state wave function. In the final state one has, in addition, a free electron with kinetic energy E kin . 25) (C is the operator that antisymmetrizes the wave function properly). 27) The matrix element is thus a product consisting of a one-electron matrix element and an (N -1 )-electron overlap integral.

P-i(N - 1). 46) where A(k, E) is called the spectral function of an electron with energy E and momentum k. 4 7) where Ck is an electron annihilation operator. A(k,E) describes the probability with which an electron can be removed from an electron system in its ground state. It thus has the same meaning as the overlap integral used before. 6 The Theory of Photoemission 47 which describes the probability that an electron at rl at time t = 0 will be found at r2 at a later time t. Transforming the Green's function into reciprocal space k and into the energy domain (E) one obtains the representation G(kl' k2' E).

One can thus anticipate that the bare core line (neglecting any interactions in the system under investigation) will in this situation get convoluted with the interactions by the response of the system to the core-hole potential. In principle the situation is the same for the valence band photoemission. e. the sea of valence electrons) and, in addition, valence states generally have a wave-vector dependence due to the delocalization of the valence electrons. 83]). This approximation is designed for the high-energy photoelectron limit.

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