Angle and Spin Resolved Auger Emission: Theory and by Bernd Lohmann
By Bernd Lohmann
Angle and spin resolved Auger emission physics offers with the theoretical and numerical description, research and interpretation of such forms of experiments on loose atoms and molecules. This monograph derives the overall thought utilizing the density matrix formalism and, when it comes to irreducible tensorial units, so referred to as nation multipoles and order parameters, for parameterizing the atomic and molecular structures, respectively. it's the first ebook on perspective and spin-resolved Auger emission.
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Additional info for Angle and Spin Resolved Auger Emission: Theory and Applications to Atoms and Molecules (Springer Series on Atomic, Optical, and Plasma Physics)
Carrying out the partial wave expansion of the incoming electron p0 ms0 and of the outgoing electron p(−) ms , respectively, and applying the same standard methods of angular momentum algebra as in the previous sections, also see Sect. 1, the summation over the magnetic quantum numbers can be carried out and the anisotropy parameter may be expressed as (2k + 1)(2K + 1) 2J J0 + 1 ΔE Bscat (K kq) = 4π|p0 |2 j i 0− 0 e j i(σ σ 0 −σ σ 0) 0 0 0 0 j0 j0 j J1 J1 b × (−1)J +J1 +J1 +JJ0 +j −j0 + 0 −1−K +q × (Jj )J1 V (J J0 j0 )J1 (Jj )J1 V (J J0 j0 )J1 × (2 0 + 1)(2 × (2b + 1) × j0 j0 K J1 J1 J0 0 + 1)(2j0 + 1)(2j0 + 1)(2J1 + 1)(2J1 + 1) b 0 0 0 0 0 b k K 0 −q q ⎧ ⎫ ⎨ 0 b 0 ⎬ J J K 1/2 k 1/2 .
This is a direct consequence of the transformation properties of the state multipoles. 121) can be restricted. This will be discussed in more detail in the next sections. 129) and the zero rank tensor is a normalization factor 1 + t00 =√ . 121) into these equations, applying the symmetries of the reduced rotation matrices and of the anisotropy parameters A(KkQ), and using the Hermiticity condition of the state multipoles, we obtain for the angular distribution of the emitted Auger electrons I (θ ) = √ 2 A(K00) (K) T (J )+ K0 d0 0 (θ ) Keven (K) 2 Re T (J )+ KQ dQ 0 (θ ) .
They can be easily derived from the general equations describing the primary ionization or excitation process as discussed in Sect. 3. We will discuss a special case later in Sect. 6. Numerical investigations on deep inner shell alignment and orientation have been performed by Berezhko et al. (1978b) for the case of photoionization, almost 30 years ago. A large variety of alignment and orientation data for closed shell atoms and cations have been published, only recently (Kleiman and Lohmann 2003; Kleiman and Becker 2005), while Lohmann and Kleiman (2006) developed a theoretical model for calculating alignment and orientation of photoionized open shell atoms and provided ﬁrst numerical open shell data and predictions for inner shell alignment and orientation, respectively.