The state-selective dissociation dynamics for anionic and excited neutral fragments of gaseous SiCl 4 following Cl 2p and Si 2p core-level excitations were characterized by combining measurements of the photoninduced anionic dissociation, x-ray absorption and UV/visible dispersed fluorescence. The transitions of core electrons to high Rydberg states/doubly excited states in the vicinity of both Si 2p and Cl 2p ionization thresholds of gaseous SiCl 4 lead to a remarkably enhanced production of anionic, Si − and Cl − , fragments and excited neutral atomic, Si * , fragments. This enhancement via core-level excitation near the ionization threshold of gaseous SiCl 4 is explained in terms of the contributions from the Auger decay of doubly excited states, shake-modified resonant Auger decay, or/and post-collision interaction. These complementary results provide insight into the state-selective anionic and excited neutral fragmentation of gaseous molecules via core-level excitation.
Abstract.If ft is a finite complex Borel measure and T a Lipschitz graph in the complex plane, then for X > 0 jzer:sup / (C-z)-'^C >4 0 V|C-z|>e J It follows that for any finite Borel measure /i and any rectifiable curve T the finite principal valueexists for almost all (with respect to length) zeT.
IntroductionFor any finite complex Borel measure p on the complex plane C the Cauchy transform p(z) = J(z-zyxdpt; exists for almost all z £ C with respect to area. This is a rather immediate consequence of the fact that the kernel z_1 is locally integrable with respect to the Lebesgue measure. In this paper we prove that much more is true provided we interpret the Cauchy integral as a principal value. Namely, for any rectifiable curve r, the limit Cfi(z) = lim/ (Z-zyldp£ no J\r-Z\>E exists and is finite for %?x almost all z £ Y. Here %fx is the one-dimensional Hausdorff (i.e., length) measure on C. This result follows from the following weak-type inequality, which we prove in §2. Define, for e > 0, z e C, c,,E(z)= I (t-zy'dpt, Jc\B(z,e) C*(z) = sup \Cn,s(z)\, £>0
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