By Bernd Lohmann

Angle and spin resolved Auger emission physics bargains with the theoretical and numerical description, research and interpretation of such varieties of experiments on loose atoms and molecules. This monograph derives the overall conception using the density matrix formalism and, by way of 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 attitude and spin-resolved Auger emission.

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**Example text**

The spin polarization parameter ξKeven , however, depends on the sine of the phase difference and therefore allows to determine the sign of the phase differences, too. Thus, the spin polarization parameter ξKeven can yield even more reﬁned information on the decay dynamics than can be obtained from the angular anisotropy parameter and from the other spin polarization parameters, respectively. Further, like αK and δK , ξKodd depends on the C-coefﬁcients, which reduces the computational effort, whereas the parameter ξKeven is a function of the introduced H -coefﬁcients.

51) J =0 0 (0) and the normalization parameter as Bphot 1 J0 =0 Bphot (0) = √ 3(2J + 1) (Jj )1 d 0 2 . 42), which contain the dynamics of the photoionization process. e. the neutral initial atomic state is excited via photoabsorption. This has been particularly used in the investigation of Auger emission from excited rare gases; the so-called resonant Auger transitions. This type of Auger transitions will be discussed in more detail in Sect. 6. 54) Γγ and the anisotropy parameter of photoexcitation as √ (2K + 1)(2Γ + 1) Bexci (K Q , Γ γ ) = 2J J0 + 1 (−1)J −M+1−λ MM M0 λλ × J M|T Ti |J J0 M0 ωnλ J M |T Ti+ |J J0 M0 ωnλ × 1 1 Γ λ −λ −γ J J K M −M −Q .

So far, an arbitrarily polarized synchrotron beam and an unpolarized target have been assumed. Besides the fact that we are considering transitions with a resolved initial and ﬁnal state ﬁne structure, no further assumptions have been made. 42) and interchanging the summation over J1 and J1 it can be shown that the anisotropy parameter Bphot is a real number Bphot (K ) = Bphot (K )∗ . 44) In particular, we obtain Bphot (0) = 1 √ (2J J0 + 1) 3(2J + 1) (−1)J0 +J1 (Jj )J1 d J0 j J1 2 . 3 Primary Ionization–Excitation 27 The parameter Bphot (0) can be seen as a normalization parameter for introducing relative parameters which is often an advantage for the interpretation of experimental data.