Electron-Nuclear Correlation in Laser-Driven Diatomic Molecules

The interaction of short intense laser pulses with atoms/molecules produces a multitude of highly nonlinear processes requiring a non-perturbative treatment. Detailed study of these highly nonlinear processes by numerically solving the time-dependent Schrodinger equation becomes a daunting task when the number of degrees of freedom is large. Also the coupling between the electronic and nuclear degrees of freedom further aggravates the computational problems. In the present work we show that the time-dependent Hartree (TDH) approximation, which neglects the correlation effects, gives unreliable description of the system dynamics both in the absence and presence of an external field. A theoretical framework is required that treats the electrons and nuclei on equal footing and fully quantum mechanically. To address this issue we discuss two approaches, namely the multicomponent density functional theory (MCDFT) and the multiconfiguration time-dependent Hartree (MCTDH) method, that go beyond the TDH approximation and describe the correlated electron-nuclear dynamics accurately. In the MCDFT framework, where the time-dependent electronic and nuclear densities are the basic variables, we discuss an algorithm to calculate the exact Kohn-Sham (KS) potentials for small model systems. By simulating the photodissociation process in a model hydrogen molecular ion, we show that the exact KS potentials contain all the many-body effects and give an insight into the system dynamics. In the MCTDH approach, the wave function is expanded as a sum of products of single-particle functions (SPFs). The MCTDH method is able to describe the electron-nuclear correlation effects as the SPFs and the expansion coefficients evolve in time and give an accurate description of the system dynamics. We show that the MCTDH method is suitable to study a variety of processes such as the fragmentation of molecules, high-order harmonic generation, the two-center interference effect, and the lochfrass effect. We discuss these phenomena in a model hydrogen molecular ion and a model hydrogen molecule. Inclusion of absorbing boundaries in the mean-field approximation and its consequences are discussed using the model hydrogen molecular ion. To this end, two types of calculations are considered: (i) a variational approach with a complex absorbing potential included in the full many-particle Hamiltonian and (ii) an approach in the spirit of time-dependent density functional theory (TDDFT), including complex absorbing potentials in the single-particle equations. It is elucidated that for small grids the TDDFT approach is superior to the variational approach.

Funktion und Biogenese kleiner RNAs in Dictyostelium discoideum

RNA mediated gene silencing pathways are highly conserved among eukaryotes and they have been well investigated in animals and in plants. Longer dsRNA molecules trigger the silencing pathways: RNase III proteins and their dsRNA binding protein (dsRBP) partners recognize those molecules as a substrate and process 21 nucleotide long microRNAs (miRNAs) or small interfering RNAs (siRNAs). Some organisms encode RNA dependent RNA polymerases (RdRPs), which are able to expand the pool of existing siRNAs. Argonaute proteins are able to bind small regulatory RNAs and are subsequently recruited to target mRNAs by base complementary. This leads in turn to transcriptional or posttranscriptional silencing of respective genes. The Dictyostelium discoideum genome encodes two Dicer homologues (DrnA and DrnB), five Argonaute proteins (AgnA to AgnE) and three RdRPs (RrpA to RrpC). In addition, the amoeba is known to express miRNAs and siRNAs, while the latter derive mainly from the DIRS-1 retrotransposon. One part of this work focused on the miRNA biogenesis pathway of D. discoideum. It was shown that the dsRNA binding protein RbdB is a necessary component for miRNA processing in the amoeba. There were no mature miRNAs detectable by Northern blot analysis in rbdB- strains, which is also true for drnB mutants. Moreover, primary miRNA-transcripts (pri-miRNAs) accumulated in rbdB- and drnB- strains. Fluorescence microscopy studies showed a nuclear localization of RbdB. RbdB accumulated in distinct perinucleolar foci. These were reminiscent of plant dicing bodies that contain essential protein components for miRNA processing. It is well known that RNase III enzymes and dsRBPs work together during miRNA processing in higher eukaryotes. This work demonstrated that the same is true for members of the amoebozoa supergroup. In Arabidopsis the nuclear zinc finger protein Serrate (SE) is also necessary for miRNA processing. The D. discoideum homologue SrtA, however, is not relevant which has been shown by the analysis of the respective knockdown strain. MiRNAs are known to be differentially expressed in several RNAi knockout strains. The accumulation of miRNAs in agnA- strains and a strong decrease in rbdB- strains were criteria that could thus be successfully used (among others) to identify and validate new miRNAs candidates by Illumina®-RNA sequencing. In another part of this study, the silencing and amplification of the DIRS-1 retrotransposons was analyzed in more detail. It was already known that DIRS-1 transcripts and extrachromosomal DIRS-1 DNA molecules accumulated in agnA- strains. This phenotype was correlated with the loss of endogenous DIRS-1 siRNAs in the knockout strain. By deep sequencing analysis of small RNAs from the AX2 wild type and the agnA- strain, the strong decrease of endogenous DIRS-1 siRNAs in the mutant strain (accounting for 70 %) could be confirmed. Further analysis of the data revealed an unequal distribution of DIRS-1 derived siRNAs along the retroelement in the wild type strain, since only very few of them matched the inverted terminal repeats (ITRs) and the 5’- half of the first open reading frame (ORF). Besides, sense and antisense siRNAs were asymmetrically distributed, as well. By using different reporter constructs it was shown indirectly that AgnA is necessary for the RrpC mediated production of secondary DIRS-1 siRNAs. These analyses also demonstrated an amplification of siRNAs in 5’- and in 3’-direction. Further analysis of the agnA- strain revealed that not only DIRS-1 sense transcripts but also ORF2 and ORF3 encoded proteins were enriched. In contrast, the ORF1 encoded protein GAG was equally expressed in the mutant and the wild type. This might reflect the unequal distribution of endogenous DIRS-1 siRNAs along the retrotransposon. Southern Blot and PCR-analyses showed that extrachromosomal DIRS-1 DNA molecules are present in the cytoplasm of angA- strains and that they are complementary to sense transcripts of intact DIRS-1 elements. Thus, the extrachromosomal DIRS-1 intermediates are likely incomplete cDNA molecules generated by the DIRS-1 encoded reverse transcriptase. One could hypothesize that virus like particles (VLPs) are the places of DIRS-1 cDNA synthesis. At least, DIRS-1 GAG proteins interact and fluorescence microscopy studies showed that they localize in distinct cytoplasmic foci which accumulate in close proximity to the nuclei.

Analysen der beiden cis-regulierenden Sequenzelemente translational control element (TCE) und cytoplasmic polyadenylation element (CPE) in der Drosophila-Spermatogenese

Ein essentieller Bestandteil in dem Mechanismus der Translationskontrolle sind RNA-Pro­tein-Wechselwirkungen. Solche Interaktionen konnten in Translationssystemen an zwei unabhängigen cis-regulierenden Elementen durch in vitro-Bindungsanalysen mit individu­ellen rekombinanten Proteinen dokumentiert werden. Im Fall des translational control elements (TCE), welches ein konserviertes Sequenz-Ele­ment in der Mst(3)CGP-Genfamilie darstellt, wird eine negative Translationskontrolle durch die Bindung der Proteine CG3213, CG12470, CG1898, dFMR1, Exuperantia und Orb2 an diese Sequenz vermittelt (Stinski, 2011). Neben den in Bindungsstudien positiv getesteten Kandidaten dFMR1 und Orb2 (Stinski, 2011) wurde in der vorliegenden Dis­sertation CG3213 als weiterer direkter Bindungspartner an das TCE dokumentiert. Ein Abgleich der genomweiten Zusammenstellung von Proteininteraktionen in der Datenbank InterologFinder lieferte zwei weitere potentielle Kandidaten: CG34404 und CG3727. Al­lerdings schließen Northern-Analysen und das Proteinexpressionsmuster eine zentrale Rolle in der Drosophila-Spermatogenese für diese nahezu aus. In Kolokalisationsstudien einiger TCE-Komplex-Kandidaten mit CG3213 als Referenz konnten eindeutige Überein­stimmungen der Fluoreszenzmuster mit CG12470 in der postmeiotischen Phase be­schrieben werden, wohingegen mit Orb2 (postmeiotisch) und CG1898 (prämeiotisch) nur eine geringe Kolokalisation erkannt wurde. Punktstrukturen in den Verteilungsmustern sowohl von CG3213 als auch von CG12470 ließen sich nicht mit ER- und mitochondrien­spezifischen Markern korrelieren. Im Anschluss der Meiose konnte eine deutliche Intensitätserhöhung des CG3213-Proteins beobachtet werden, was eventuell durch eine veränderte Translationseffizienz zustande kommen könnte. Exuperantia (Exu) stellt einen bekannten Regulator für eine Reihe von translationskontrollierten mRNAs dar (Wang und Hazelrigg, 1994). Die Quantifizierungen der CG3213-mRNA in exu-mutantem Hintergrund bestätigen, dass auch die Transkript­menge der CG3213-mRNA durch Exu reguliert wird, was die obige Interpretation stützen würde. Für das zweite cis-regulierende Element, das cytoplasmic polyadenylation element (CPE), konnte eine direkte Bindung mit dem CPEB-Homolog in Drosophila (Orb2) gezeigt wer­den, welches auch eine Komponente des mst87F-RNP-Komplexes ist. Ein vermuteter Interaktionspartner dieses CPEBs ist Tob, weshalb die Verteilung beider Proteine in einem Kombinationsstamm verglichen wurde. In dem teilweise übereinstimmenden Fluoreszenz­muster ist Tob an den distalen Spermatidenenden auffallend konzentriert. Das gesamte Tob-Muster jedoch legt eine Verteilung in den Mitochondrien nahe, wie die MitoTracker®-Färbung belegt. Somit wurde erstmals ein Mitglied der Tob/BTG-Genfamilie in der Droso­phila-Spermatogenese mit Mitochondrien in Verbindung gebracht. Die Lokalisierung die­ser Proteine ist bislang unklar, jedoch konnte eine Kernlokalisation trotz der N-terminalen NLS-Sequenz mit Hilfe einer Kernfärbung ausgeschlossen werden.

Atomistic-continuum modeling of ultrafast laser-induced melting of silicon targets

In this work, we present an atomistic-continuum model for simulations of ultrafast laser-induced melting processes in semiconductors on the example of silicon. The kinetics of transient non-equilibrium phase transition mechanisms is addressed with MD method on the atomic level, whereas the laser light absorption, strong generated electron-phonon nonequilibrium, fast heat conduction, and photo-excited free carrier diffusion are accounted for with a continuum TTM-like model (called nTTM). First, we independently consider the applications of nTTM and MD for the description of silicon, and then construct the combined MD-nTTM model. Its development and thorough testing is followed by a comprehensive computational study of fast nonequilibrium processes induced in silicon by an ultrashort laser irradiation. The new model allowed to investigate the effect of laser-induced pressure and temperature of the lattice on the melting kinetics. Two competing melting mechanisms, heterogeneous and homogeneous, were identified in our big-scale simulations. Apart from the classical heterogeneous melting mechanism, the nucleation of the liquid phase homogeneously inside the material significantly contributes to the melting process. The simulations showed, that due to the open diamond structure of the crystal, the laser-generated internal compressive stresses reduce the crystal stability against the homogeneous melting. Consequently, the latter can take a massive character within several picoseconds upon the laser heating. Due to the large negative volume of melting of silicon, the material contracts upon the phase transition, relaxes the compressive stresses, and the subsequent melting proceeds heterogeneously until the excess of thermal energy is consumed. A series of simulations for a range of absorbed fluences allowed us to find the threshold fluence value at which homogeneous liquid nucleation starts contributing to the classical heterogeneous propagation of the solid-liquid interface. A series of simulations for a range of the material thicknesses showed that the sample width we chosen in our simulations (800 nm) corresponds to a thick sample. Additionally, in order to support the main conclusions, the results were verified for a different interatomic potential. Possible improvements of the model to account for nonthermal effects are discussed and certain restrictions on the suitable interatomic potentials are found. As a first step towards the inclusion of these effects into MD-nTTM, we performed nanometer-scale MD simulations with a new interatomic potential, designed to reproduce ab initio calculations at the laser-induced electronic temperature of 18946 K. The simulations demonstrated that, similarly to thermal melting, nonthermal phase transition occurs through nucleation. A series of simulations showed that higher (lower) initial pressure reinforces (hinders) the creation and the growth of nonthermal liquid nuclei. For the example of Si, the laser melting kinetics of semiconductors was found to be noticeably different from that of metals with a face-centered cubic crystal structure. The results of this study, therefore, have important implications for interpretation of experimental data on the kinetics of melting process of semiconductors.