Tomographic imaging of molecular orbitals in length and velocity form

Recently Itatani et al. [Nature 432, 876 (2004)] introduced the new concept of molecular orbital tomography, where high harmonic generation (HHG) is used to image electronic wave functions. We describe an alternative reconstruction form, using momentum instead of dipole matrix elements for the electron recombination step in HHG. We show that using this velocity-form reconstruction, one obtains better results than using the original length-form reconstruction. We provide numerical evidence for our claim that one has to resort to extremely short pulses to perform the reconstruction for an orbital with arbitrary symmetry. The numerical evidence is based on the exact solution of the time-dependent Schrödinger equation for 2D model systems to simulate the experiment. Furthermore we show that in the case of cylindrically symmetric orbitals, such as the N2 orbital that was reconstructed in the original work, one can obtain the full 3D wave function and not only a 2D projection of it. Vor kurzem führten Itatani et al. [Nature 432, 876 (2004)] das Konzept der Molelkülorbital-Tomographie ein. Hierbei wird die Erzeugung hoher Harmonischer verwendet, um Bilder von elektronischen Wellenfunktionen zu gewinnen. Wir beschreiben eine alternative Form der Rekonstruktion, die auf Impuls- statt Dipol-Matrixelementen für den Rekombinationsschritt bei der Erzeugung der Harmonischen basiert. Wir zeigen, dass diese "Geschwindigkeitsform" der Rekonstruktion bessere Ergebnisse als die ursprüngliche "Längenform" liefert. Wir zeigen numerische Beweise für unsere Behauptung, dass man zu extrem kurzen Laserpulsen gehen muss, um Orbitale mit beliebiger Symmetrie zu rekonstruieren. Diese Ergebnisse basieren auf der exakten Lösung der zeitabhängigen Schrödingergleichung für 2D-Modellsysteme. Wir zeigen ferner, dass für zylindersymmetrische Orbitale wie das N2-Orbital, welches in der oben zitierten Arbeit rekonstruiert wurde, das volle 3D-Orbital rekonstruiert werden kann, nicht nur seine 2D-Projektion.

Molecular Imaging using Strong-Field Processes

Die Arbeit befasst sich mit dem Zusammenhang zwischen einfachen Molekülen und deren Verhalten in starken, kurzen Laserfeldern. Einerseits wird versucht, strukturelle Daten des Moleküls in den Elektronen- und Photonenspektren wiederzuerkennen. Andererseits geht es darum, ein Bild der elektronischen Wellenfunktion aus den spektralen Daten abzuleiten.

On the function of the Dictyostelium Argonaute A protein (AgnA) in epigenetic gene regulation

With molecular biology methods and bioinformatics, the Argonaute proteins in Dictyostelium discoideum were characterized, and the function of the AgnA protein in RNAi and DNA methylation was investigated, as well as cellular features. Also interaction partners of the PAZ-Piwi domain of AgnA (PAZ-PiwiAgnA) were discovered. The Dictyostelium genome encodes five Argonaute proteins, termed AgnA/B/C/D/E. The expression level of Argonaute proteins was AgnB/D/E > AgnA > AgnC. All these proteins contain the characteristic conserved of PAZ and Piwi domains. Fluorescence microscopy revealed that the overexpressed C-terminal GFP-fusion of PAZ-PiwiAgnA (PPWa-GFP) localized to the cytoplasm. Overexpression of PPWa-GFP leaded to an increased gene silencing efficiency mediated by RNAi but not by antisense RNA. This indicated that PAZ-PiwiAgnA is involved in the RNAi pathway, but not in the antisense pathway. An analysis of protein-protein interactions by a yeast-two-hybrid screen on a cDNA library from vegetatively grown Dictyostelium revealed that several proteins, such as EF2, EF1-I, IfdA, SahA, SamS, RANBP1, UAE1, CapA, and GpdA could interact with PAZ-PiwiAgnA. There was no interaction between PAZ-PiwiAgnA and HP1, HelF and DnmA detected by direct yeast-two-hybrid analysis. The fluorescence microscopy images showed that the overexpressed GFP-SahA or IfdA fusion proteins localized to both cytoplasm and nuclei, while the overexpressed GFP-SamS localized to the cytoplasm. The expression of SamS in AgnA knock down mutants was strongly down regulated on cDNA and mRNA level in, while the expression of SahA was only slightly down regulated. AgnA knock down mutants displayed defects in growth and phagocytosis, which suggested that AgnA affects also cell biological features. The inhibition of DNA methylation on DIRS-1 and Skipper retroelements, as well as the endogenous mvpB and telA gene, observed for the same strains, revealed that AgnA is involved in the DNA methylation pathway. Northern blot analysis showed that Skipper and DIRS-1 were rarely expressed in Ax2, but the expression of Skipper was upregulated in AgnA knock down mutants, while the expression of DIRS-1 was not changed. A knock out of the agnA gene failed even though the homologous recombination of the disruption construct occurred at the correct site, which indicated that there was a duplication of the agnA gene in the genome. The same phenomenon was also observed in ifdA knock out experiments.

Dirac-Fock-Slater calculations for the elements Z = 100, fermium, to Z = 173

Listed here for the elements Z = 100, fermium, to Z = 173 are energy eigenvalues and total energies found from relativistic Dirac-Fock-Slater calculations. The effect of high ionization on the energy eigenvalues is presented for two exarnples. The use of these tables in connection with the energy levels of superheavy elements and molecular orbital (MO) x-ray transitions in superheavy quasiatoms, is discussed. In addition, abrief comparison between the results of the Dirac-Fock-Slater and Dirac-Fock calculations is given.

Relativistic effects in physics and chemistry of element 105. [Part] II.

Relativistic self-consistent charge Dirac-Slater discrete variational method calculations have been done for the series of molecules MBr_5, where M = Nb, Ta, Pa, and element 105, Ha. The electronic structure data show that the trends within the group 5 pentabromides resemble those for the corresponding pentaclorides with the latter being more ionic. Estimation of the volatility of group 5 bromides has been done on the basis of the molecular orbital calculations. According to the results of the theoretical interpretation HaBr_5 seems to be more volatile than NbBr_5 and TaBr_5.

Non-relativistic and relativistic molecular calculations for the chalcogen hexafluorides: SF_6, SeF_6, TeF_6, PoF_6

Non-relativistic Hartree-Fock-Slater and relativistic Dirac-Slater self-consistent orbital models are applied for the analysis of the electronic structure of the chalcogen hexafluorides: SF_6, SeF_6, TeF_6 and PoF_6. The molecular eigenfunctions and eigenvalues are generated using the discrete variational method (DVM) with numerical basis functions. The results obtained for SF_6 are compared with other ab initio calculations. Information about relativistic level shifts and spin-orbit splitting has been obtained by comparison between the non-relativistic and relativistic results.