Final-state summation in photoelectron diffraction |
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| Institution: | 1. Department of Chemistry, Dravidian University, Kuppam, Chittoor, 517425, Andhra Pradesh, India;2. Department of PG Studies and Research in Industrial Chemistry, Kuvempu University, Jnana Sahyadri, Shankaraghatta, Shimoga 577451, Karnataka, India;1. Department of Chemistry, Payame Noor University, Tehran, Iran;2. Environment Department, Institute of Science and High Technology and Environmental, Sciences, Graduate University of Advanced Technology, Kerman, Iran |
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| Abstract: | A formula was derived to perform the summation over the lc±1 final states of the dipole transition matrix element and the scattering path operator. This formula shows that often it seems more convenient to speak about lc+1 and lc±1 channels instead of the lc+1 and the lc−1 channel. Using this formula and restricting the considerations on the first order scattering and the plane wave approximation, explicit formulas were given for the photoelectron intensity, the circular dichroism and the spin polarization in terms of products of the vectors involved in the problem: photon wavevector, photon polarization, magnetization, electron wave vector, and orientation of the spin detector. Additionally the scattering part contains the position vectors of the scatterers with respect to the emitter. These formulas are discussed as well for magnetic as for nonmagnetic samples and for s, p, d and f core states. General expressions are given for the peak rotation. Also it is possible to write down explicitly the dependence on absolute value and the phases of the complex radial matrix elements. |
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