108,720 research outputs found
New resonant behavior in the spin resolved photoionization of the rare gas atoms Kr 3d and Xe 4p
No full textKhalil T. New resonant behavior in the spin resolved photoionization of the rare gas atoms Kr 3d and Xe 4p. Bielefeld (Germany): Bielefeld University; 2002.In the first part of this thesis, the transferred spin polarization of resonantly excited Auger electrons of Kr 3d-1 5p photoionized by circularly polarized light was measured. The transferred spin polarization is related to the orientation A10 (and alignment A20) of core holes induced by the primary photoionization process, and to the intrinsic parameters [xi]1 which characterizes the transferred spin polarization of Auger electrons and [alpha]2, the anisotropy parameter which characterizes the angular intensity distribution of Auger electrons. Due to the selection rules of dipole excitation of Kr 3d-1 5p atoms i.e. Ji=1, A10 and A20 are known, [alpha]2 was calculated and measured by Kitajima et al. The calculation of [xi]1 was performed by N. M. Kabachnik and S. Fritzsche.
In the second part of this thesis, the spin polarization of Xe 4p near the ionization threshold was measured to examine the calculations of Cherepkov of contribution of the lowest order nondipole term; the electric-dipole-electric-quadrupole interference terms to the spin polarization of Xe np photoelectrons. The quadrupol matrix elements of the np->[epsilon]f transitions in Xe calculated in RPAE have strong maxima near the ionization threshold. This behaviour is similar to the well-known maxima in the dipole nd->[epsilon]f transitions. These dipole nd->[epsilon]f transitions are responsible for the so-called giant resonances in the total photoionization cross section. They are attributed to the double-well shape of the effective potential for the dipole [epsilon]f partial waves. Both the RPAE non-relativistic calculation from Cherepkov and the relativistic IPA adapted calculation from Derevianko agree qualitatively with the measured nondipole component of electron spin polarization
State Constraints, Higher Order Inward Pointing Conditions, and Neighboring Feasible Trajectories
No full textThe classical inward pointing condition (IPC) for a control system whose state x is
constrained in the closure C := \= \Omega
of an open set \Omega prescribes that at each point of the boundary
x \in \partial \Omega the intersection between the dynamics and the interior of the tangent cone of \= \Omega
at x is
nonempty. Under this hypothesis, for every system trajectory x(.) on a time interval [0, T], possibly
violating the constraint, one can construct a new system trajectory \^x(.) that satisfies the constraint
and whose distance from x(.) is bounded by a quantity proportional to the maximal deviation d :=
dist(\Omega , x([0, T])). When IPC is violated, the construction of such a constrained trajectory is not
possible in general. However, in this paper we prove that a ``higher order"" inward pointing condition
involving Lie brackets of the dynamics' vector fields (together with a nonpositiveness curvature-like
assumption) and the implementation of a suitable ``rotating"" control strategy allows for a novel
construction of a constrained trajectory \^x(.) whose distance from the reference trajectory x(.) is
bounded by a quantity proportional to
\surd
d. As an application, we establish the continuity up to the
boundary of the value function V of a connected optimal control problem, a continuity that allows
one to regard V as the unique constrained viscosity solution of the corresponding Bellman equation
The effect of mutual coupling, load unbalance and harmonics on capacitor placement in distribution networks
No full textKhalil, T. M. The effect of mutual coupling, load unbalance and harmonics on capacitor placement in distribution networks / T. M. Khalil, A. V. Gorpinich // Вісник Приазовського державного технічного університету : зб. наук. праць / ПДТУ. – Маріуполь, 2009. – Вип. 19. – С. 231–236. – (Серія : Технічні науки).Рассмотрено влияние высших гармоник, несимметрии и взаимоиндукции на выбор мощности и мест установки батарей конденсаторов в распределительных электрических сетях. Предложен бинарный метод оптимизации, основанный на моделировании скоплений частиц (по аналогии с биологическими системами). При составлении целевой функции учитывались стоимость батарей конденсаторов и напряжения и его искажений в узлах электрической сети
Letter, [Author unclear] to Paulina T. Merritt
No full textHandwritten letter to Paulina Merritt from an unknown author, October 1, 1876.
Complete characterization of the atomic Auger decay
No full textDrescher M, Schmidtke B, Khalil T, Müller N, Heinzmann U. Complete characterization of the atomic Auger decay. BESSY Highlights. 2002;2001:30-30
Introduction
No full textQuesto capitolo introduce la chiave di lettura empirica ed analitica del libr
CCDC 2022503: Experimental Crystal Structure Determination
No full textRelated Article: Cory T. Kornman, Lei Li, Asmerom O. Weldeab, Ion Ghiviriga, Khalil A. Abboud, Ronald K. Castellano|2020|Chemical Science|11|10190|doi:10.1039/D0SC04409
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