Calculation of the hyperfine structure transition energy and lifetime in the one-electron Bi^82+ ion

We calculate the energy and lifetime of the ground state hyperfine structure transition in one-electron Bi^82+ . The influence of various distributions of the magnetic moment and the electric charge in the nucleus ^209_83 Bi on energy and lifetime is studied.

Observation of two-electron-one-photon transitions in silicon

We report on the observation of K\alpha\alpha X-rays of Si, produced in collisions of 15-28 MeV Si projectiles with various target atoms in the range Z =6 to 29. Energy shifts of X-rays were measured and are compared with theoretical predictions. Cross section ratios for emission of K\alpha\alpha and K\alpha radiation are given.

Precise calculations of atomic electron binding energies in fermium

The comparison between the experimental binding energies for the K, L, and M electrons for fermium and the results of our Dirac-Fock calculation, taking into account all tractable corrections, leads to agreement within about 20 eV. This shows that the present method of calculation is an adequate description of this problem and that nonlinear electrodynamical effects will not be present in nature or will be smaller than 1% compared to the values recently proposed. It is found that the energies of electronic transitions can now be used to estimate the nuclear radius.

Transitions between quintet states of doubly excited four-electron ions

Following an earlier observation in F VI we identified the line pair 1s2s2p^2 {^5P}-1s2s2p3d {^5P^0} , {^5D^0} for the elements N, O, Mg, and tentatively for A1 and Si in beam-foil spectra. Assignment was established by comparison with Multi-Configuration Dirac-Fock calculations along the isoelectronic sequence. Using this method we also identified some quartet lines of lithium-like ions with Z > 10.

Realistic many electron coupled channel calculations in heavy ion scattering

The time dependent Dirac equation which describes a heavy ion-atom collision system is solved via a set of coupled channel equations with energy eigenvalues and matrix elements which are given by a selfconsistent field many electron calculation. After a brief discussion of the theoretical approximations and the connection of the many particle with the one particle interpretation we discuss first results for the systems F{^8+} - Ne and F{^6+} - Ne. The resulting P(b) curves for the creation of a Ne K-hole are in good agreement with the experimental results.

Solution of the time dependent Dirac-Fock-Slater equation for many-electron collisions systems using a time window method

We present a new scheme to solve the time dependent Dirac-Fock-Slater equation (TDDFS) for heavy many electron ion-atom collision systems. Up to now time independent self consistent molecular orbitals have been used to expand the time dependent wavefunction and rather complicated potential coupling matrix elements have been neglected. Our idea is to minimize the potential coupling by using the time dependent electronic density to generate molecular basis functions. We present the first results for 16 MeV S{^16+} on Ar.

Many electron coupled channel calculations for the system F{^8+} - Ne

To describe the time dependence of an atomic collision system the Dirac equation usually is rewritten in a coupled channel equation. We first discuss part of the approximation used in this approach and the connection of the many particle with the one particle interpretation. The coupled channel equations are solved for the system F{^8+} - Ne using static selfconsistent many electron Dirac-Fock-Slater wavefunctions as basis. The resulting P(b) curves for the creation of a Ne K-hole are in reasonable agreement with the experimental results.

The European organic food market - how to increase its transparency?

Der Europäische Markt für ökologische Lebensmittel ist seit den 1990er Jahren stark gewachsen. Begünstigt wurde dies durch die Einführung der EU-Richtlinie 2092/91 zur Zertifizierung ökologischer Produkte und durch die Zahlung von Subventionen an umstellungswillige Landwirte. Diese Maßnahmen führten am Ende der 1990er Jahre für einige ökologische Produkte zu einem Überangebot auf europäischer Ebene. Die Verbrauchernachfrage stieg nicht in gleichem Maße wie das Angebot, und die Notwendigkeit für eine Verbesserung des Marktgleichgewichts wurde offensichtlich. Dieser Bedarf wurde im Jahr 2004 von der Europäischen Kommission im ersten „Europäischen Aktionsplan für ökologisch erzeugte Lebensmittel und den ökologischen Landbau“ formuliert. Als Voraussetzung für ein gleichmäßigeres Marktwachstum wird in diesem Aktionsplan die Schaffung eines transparenteren Marktes durch die Erhebung statistischer Daten über Produktion und Verbrauch ökologischer Produkte gefordert. Die Umsetzung dieses Aktionsplans ist jedoch bislang nicht befriedigend, da es auf EU-Ebene noch immer keine einheitliche Datenerfassung für den Öko-Sektor gibt. Ziel dieser Studie ist es, angemessene Methoden für die Erhebung, Verarbeitung und Analyse von Öko-Marktdaten zu finden. Geeignete Datenquellen werden identifiziert und es wird untersucht, wie die erhobenen Daten auf Plausibilität untersucht werden können. Hierzu wird ein umfangreicher Datensatz zum Öko-Markt analysiert, der im Rahmen des EU-Forschungsprojektes „Organic Marketing Initiatives and Rural Development” (OMIaRD) erhoben wurde und alle EU-15-Länder sowie Tschechien, Slowenien, Norwegen und die Schweiz abdeckt. Daten für folgende Öko-Produktgruppen werden untersucht: Getreide, Kartoffeln, Gemüse, Obst, Milch, Rindfleisch, Schaf- und Ziegenfleisch, Schweinefleisch, Geflügelfleisch und Eier. Ein zentraler Ansatz dieser Studie ist das Aufstellen von Öko-Versorgungsbilanzen, die einen zusammenfassenden Überblick von Angebot und Nachfrage der jeweiligen Produktgruppen liefern. Folgende Schlüsselvariablen werden untersucht: Öko-Produktion, Öko-Verkäufe, Öko-Verbrauch, Öko-Außenhandel, Öko-Erzeugerpreise und Öko-Verbraucherpreise. Zudem werden die Öko-Marktdaten in Relation zu den entsprechenden Zahlen für den Gesamtmarkt (öko plus konventionell) gesetzt, um die Bedeutung des Öko-Sektors auf Produkt- und Länderebene beurteilen zu können. Für die Datenerhebung werden Primär- und Sekundärforschung eingesetzt. Als Sekundärquellen werden Publikationen von Marktforschungsinstituten, Öko-Erzeugerverbänden und wissenschaftlichen Instituten ausgewertet. Empirische Daten zum Öko-Markt werden im Rahmen von umfangreichen Interviews mit Marktexperten in allen beteiligten Ländern erhoben. Die Daten werden mit Korrelations- und Regressionsanalysen untersucht, und es werden Hypothesen über vermutete Zusammenhänge zwischen Schlüsselvariablen des Öko-Marktes getestet. Die Datenbasis dieser Studie bezieht sich auf ein einzelnes Jahr und stellt damit einen Schnappschuss der Öko-Marktsituation der EU dar. Um die Marktakteure in die Lage zu versetzen, zukünftige Markttrends voraussagen zu können, wird der Aufbau eines EU-weiten Öko-Marktdaten-Erfassungssystems gefordert. Hierzu wird eine harmonisierte Datenerfassung in allen EU-Ländern gemäß einheitlicher Standards benötigt. Die Zusammenstellung der Marktdaten für den Öko-Sektor sollte kompatibel sein mit den Methoden und Variablen der bereits existierenden Eurostat-Datenbank für den gesamten Agrarmarkt (öko plus konventionell). Eine jährlich aktualisierte Öko-Markt-Datenbank würde die Transparenz des Öko-Marktes erhöhen und die zukünftige Entwicklung des Öko-Sektors erleichtern. ---------------------------

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.

Spatio-temporal resolution studies on a highly compact ultrafast electron diffractometer

Time-resolved diffraction with femtosecond electron pulses has become a promising technique to directly provide insights into photo induced primary dynamics at the atomic level in molecules and solids. Ultrashort pulse duration as well as extensive spatial coherence are desired, however, space charge effects complicate the bunching of multiple electrons in a single pulse.Weexperimentally investigate the interplay between spatial and temporal aspects of resolution limits in ultrafast electron diffraction (UED) on our highly compact transmission electron diffractometer. To that end, the initial source size and charge density of electron bunches are systematically manipulated and the resulting bunch properties at the sample position are fully characterized in terms of lateral coherence, temporal width and diffracted intensity.Weobtain a so far not reported measured overall temporal resolution of 130 fs (full width at half maximum) corresponding to 60 fs (root mean square) and transversal coherence lengths up to 20 nm. Instrumental impacts on the effective signal yield in diffraction and electron pulse brightness are discussed as well. The performance of our compactUEDsetup at selected electron pulse conditions is finally demonstrated in a time-resolved study of lattice heating in multilayer graphene after optical excitation.

Transparency & Privacy

The Transparency Agenda of the 2010/1 UK Coalition government promises to revolutionise government, public services and public engagement, by ‘holding politicians and public bodies to account, reducing the deficit and delivering better value for money in public spending, and realising significant economic benefits by enabling businesses and non-profit organisations to build innovative applications and websites using public data’, to quote the then Prime Minister. This is an ambitious programme with laudable aims, yet it naturally has limits.

The relevance of the Laplacian of intracule and extracule density distributions for analyzing electron-electron interactions in molecules

A topological analysis of intracule and extracule densities and their Laplacians computed within the Hartree-Fock approximation is presented. The analysis of the density distributions reveals that among all possible electron-electron interactions in atoms and between atoms in molecules only very few are located rigorously as local maxima. In contrast, they are clearly identified as local minima in the topology of Laplacian maps. The conceptually different interpretation of intracule and extracule maps is also discussed in detail. An application example to the C2H2, C2H4, and C2H6 series of molecules is presented

Erratum: "The aromatic fluctuation index (FLU): a new aromaticity index based on electron delocalization" [J. Chem Phys. 122, 014109 (2005)]

An erratum to the article "The aromatic fluctuation index (FLU): a new aromaticity index based on electron delocalization", published in The Journal Chemistry of Physics, 2005, v.122, art. no.014109. Values FLU have been corrected in the last column of Table I because they were not correct

The aromatic fluctuation index (FLU): a new aromaticity index based on electron delocalization

In this work, the aromatic fluctuation index (FLU) that describes the fluctuation of electronic charge between adjacent atoms in a given ring is introduced as a new aromaticity measure. This new electronic criterion of aromaticity is based on the fact that aromaticity is related to the cyclic delocalized circulation of π electrons. It is defined not only considering the amount of electron sharing between contiguous atoms, which should be substantial in aromatic molecules, but also taking into account the similarity of electron sharing between adjacent atoms. For a series of rings in 15 planar polycyclic aromatic hydrocarbons, we have found that, in general, FLU is strongly correlated with other widely used indicators of local aromaticity, such as the harmonic-oscillator model of aromaticity, the nucleus independent chemical shift, and the para-delocalization index (PDI). In contrast to PDI, the FLU index can be applied to study the aromaticity of rings with any number of members and it can be used to analyze both the local and global aromatic character of rings and molecules

Electron localization function at the correlated level

The electron localization function (ELF) has been proven so far a valuable tool to determine the location of electron pairs. Because of that, the ELF has been widely used to understand the nature of the chemical bonding and to discuss the mechanism of chemical reactions. Up to now, most applications of the ELF have been performed with monodeterminantal methods and only few attempts to calculate this function for correlated wave functions have been carried out. Here, a formulation of ELF valid for mono- and multiconfigurational wave functions is given and compared with previous recently reported approaches. The method described does not require the use of the homogeneous electron gas to define the ELF, at variance with the ELF definition given by Becke. The effect of the electron correlation in the ELF, introduced by means of configuration interaction with singles and doubles calculations, is discussed in the light of the results derived from a set of atomic and molecular systems