Variational Calculation of the Hydrogen Molecular Cation using Maple (II). The pi and pi-star Orbitals

The pi and pi-star orbitals of the hydrogen molecular cation are obtained using Maple in the same manner as the sigma and sigma-star orbitals were obtained in paper-36.

Variational Calculation of the Hydrogen Molecular Cation Using Maple

The variational calculation of the energy of the Hydrogen Molecular (H2+) Cation's LCAO-MO for the sigma and sigma* states as functions of the AO's screening constant and the internuclear distance is carried out explicitly in great detail.

Advanced Physical Chemistry Problems (II), Hydrogen Atom and Hyrdrogen Molecular Ion

Slightly advanced problems in Physical Chemistry, herein concerning the H-atom and the Hydrogen Molecular Cation, are presented and discussed.

The Three Body Problem and the Runge-Lenz Equivalent Constant of the Motion

The Runge-Lenz equivalent for the Hydrogen Molecular Cation (and the Earth, Moon and Sun) problem is obtained

Application of an anaerobic packed-bed bioreactor for the production of hydrogen and organic acids

This study investigates the feasibility of an anaerobic bioreactor for treating low contents of organic matter to generate organic acids and hydrogen. The device employed for this purpose was a horizontal packed-bed bioreactor fed with glucose-based synthetic wastewater and operated with hydraulic retention times from 0.5 to 2 h. A microbial biofilm was developed without previous inoculation, using expanded clay beads (4.8-6.3 mm) as support material. Alkalinity was found to be the main parameter affecting the production of hydrogen and organic acids, and the system produced optimal output when operating without a buffer agent. The average hydrogen production was 2.48, 2.15 and 1.81 molH(2) mol(-1) of glucose for NaHCO3 influent concentrations of 0, 1000 and 2000 mg L-1, respectively. The operational regime of the bioreactor, the support material and the controlled alkalinity were effective in selecting and immobilizing microbial fermenting biofilms, which successfully produced hydrogen and organic acids throughout the operating period. Exploratory assays indicated the feasibility of organic acid extraction using an anionic polymeric resin. (C) 2007 International Association for Hydrogen Energy. Published by Elsevier Ltd. All rights reserved.

Structure characterization of molecular complexes for non-linear optical materials. II. 1 : 1 complexes of 4-methyl-morpholine-N-oxide (1) and 3-picoline-N-oxide (2) with 2,4,6-trinitrophenol, studied by X-ray, AM1 and DFT calculations

(1) C6H2N3O7- center dot C5H12NO2+, Mr = 346.26, P2(1)/c, a = 7.2356(6), b = 10.5765(9), c = 19.593(2) angstrom, 3 beta=95.101(6)degrees, V = 1493.5(2) angstrom(3), Z = 4, R-1 = 0.0414; (2) C6H2N3O7- center dot C6H8NO+, Mr = 38.24, P2(1)/n, a = 7.8713(5), b = 6.1979(7), c = 28.697(3) angstrom, beta = 90.028(7)degrees, V = 1400.0(2) angstrom(3), Z = 4, R-1 = 0.0416. The packing units in both compounds consist of hydrogen bonded cation-anion pairs. The (hyper)polarizabilities have been calculated for the crystallographic and optimized molecules, by AM1 and at the DFT/B3LYP(6-31G**) level.

Concentrations and isotopic compositions of low molecular weight hydrocarbons in hydrothermal fluids from ODP Field, Middle Valley, northern Juan de Fuca Ridge

The presence of sedimentary organic matter blanketing midocean ridge crests has a potentially strong impact on metal transport in hydrothermal vent fluids. To constrain the role of organic matter in metal mobility during hydrothermal sediment alteration, we reacted organic-rich diatomaceous ooze from Guaymas Basin, Gulf of California, and organic-poor hemipelagic mud from Middle Valley, northern Juan de Fuca Ridge, with seawater and a Na-Ca-K-Cl fluid of seawater chlorinity, at 275° to 400°C, 350 to 500 bars, and initial fluid: sediment mass ratios ranging from 1.6 to 9.8. Reaction of these fluids with both sediment types released CO2 and high concentrations of ore-forming metals (Fe, Mn, Zn, Pb) to solution. Relatively low concentrations of Cu were observed in solution and likely reflect the reducing conditions that resulted from the presence of sedimentary organic matter. Both the concentrations of CO2 and dissolved metals were lower in fluids reacted with Middle Valley sediment compared with aqueous concentrations in fluids reacted with Guaymas Basin sediment. During alteration of both sediment types, metal concentrations varied strongly as a function of temperature, increasing by up to an order of magnitude over the 75°C range of each experiment. Major element fluid chemistry and observed alteration assemblages suggest that during hydrothermal alteration of organic-lean sediment from Middle Valley a feldspar-quartz-illite mineral assemblage buffered in situ pH. In contrast, data from the experimental alteration of organic-rich Guaymas Basin sediment suggest that a calcite-plagioclase-quartz assemblage regulated in situ pH. Fluid speciation calculations suggest that in situ pH during Guaymas Basin sediment alteration was lower than during alteration of Middle Valley sediment and accounts for the substantially greater metal mobility at a given temperature and pressure during the former experiment. Comparison of our results with the results of basalt alteration experiments indicate that except for Cu, hydrothermal sediment alteration results in equal or greater concentrations of ore-forming metals at a given temperature and pressure. Accordingly, the presence of ore-forming metals in fluids currently venting from sediment-covered hydrothermal systems at concentrations substantially lower than in fluids from bare-rock systems may reflect chemical reequilibration during subsurface cooling within the sediment pile.

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.

Design of a turn-linker-turn foldamer by incorporating meta-amino benzoic acid in the middle of a helix forming hexapeptide sequence: A helix breaking approach

Single crystal X-ray diffraction studies reveal that the incorporation of meta-amino benzoic acid in the middle of a helix forming hexapeptide sequence such as in peptide I Boc-Ile(1)-Aib(2)-Val(3)-m-ABA(4)-Ile(5)-Aib(6)-Leu(7)-OMe (Aib: alpha-amino isobutyric acid: m-ABA: meta-amino benzoic acid) breaks the helix propagation to produce a turn-linker-turn (T-L-T) foldamer in the solid state. In the crystalline state two conformational isomers of peptide I self-assemble in antiparallel fashion through intermolecular hydrogen bonds and aromatic pi-pi interactions to form a molecular duplex. The duplexes are further interconnected through intermolecular hydrogen bonds to form a layer of peptides. The layers are stacked one on top of the other through van der Waals interactions to form hydrophilic channels filled with solvent methanol. (C) 2009 Elsevier B.V. All rights reserved.

Axial ligand influence on geometries, charge distributions and electronic structures of iron tetraazamacrocycle [Fe((II))TIM(X)(Y)](2+) complexes assessed by Density Functional Theory

We employed the Density Functional Theory along with small basis sets, B3LYP/LANL2DZ, for the study of FeTIM complexes with different pairs of axial ligands (CO, H(2)O, NH(3), imidazole and CH(3)CN). These calculations did not result in relevant changes of molecular quantities as bond lengths, vibrational frequencies and electronic populations supporting any significant back-donation to the carbonyl or acetonitrile axial ligands. Moreover, a back-donation mechanism to the macrocycle cannot be used to explain the observed changes in molecular properties along these complexes with CO or CH(3)CN. This work also indicates that complexes with CO show smaller binding energies and are less stable than complexes with CH(3)CN. Further, the electronic band with the largest intensity in the visible region (or close to this region) is associated to the transition from an occupied 3d orbital on iron to an empty pi* orbital located at the macrocycle. The energy of this Metal-to-Ligand Charge Transfer (MLCT) transition shows a linear relation to the total charge of the macrocycle in these complexes as given by Mulliken or Natural Population Analysis (NPA) formalisms. Finally, the macrocycle total charge seems to be influenced by the field induced by the axial ligands. (C) 2011 Elsevier Ltd. All rights reserved.

Measuring Quantum Capacitance in Energetically Addressable Molecular Layers

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Unconventional correlated systems

This work comprises three different types of unconventional correlated systems.rnChapters 3-5 of this work are about the open shell compounds Rb4O6 and Cs4O6. These mixed valent compounds contain oxygen in two different modifications: the closed-shell peroxide anion is nonmagnetic, whereas the hyperoxide anion contains an unpaired electrons in an antibonding pi*-orbital. Due to this electron magnetic ordering is rendered possible. In contrast to theoretical predictions, which suggested half-metallic ferromagnetism for Rb4O6,rndominating antiferromagnetic interactions were found in the experiment. Besidesrna symmetry reduction due to the mixed valency, strong electronic correlations of this highly molecular system determine its properties; it is a magnetically frustrated insulator. The corresponding Cs4O6 was found to show similar properties.rnChapters 6-9 of this work are about intermetallic Heusler superconductors. rnAll of these superconductors were rationally designed using the van Hove scenario as a working recipe. A saddle point in the energy dispersion curve of a solid leads to a van Hove singularity in the density of states. In the Ni-based and Pd-based Heusler superconductors presented in this work this sort of a valence instability occurs at the high-symmetry L point and coincides or nearly coincides with the Fermi level. The compounds escape the high density of states at the Fermi energy through a transition into the correlated superconducting state.rnChapter 10 of this work is about the tetragonally distorted ferrimagnetic DO22 phase of Mn3Ga. This hard-magnetic modification is technologically useful for spin torque transfer applications. The phase exhibits two different crystallographic sites that are occupied by Mn atoms and can thus be written as Mn2MnGa. The competition between the mainly itinerant moments of the Mn atoms at the Wyckoff position 4d and the localized moments of the Mn atoms at the Wyckoff position 2b leads to magnetic correlations. The antiferromagnetic orientation of these moments determines the compound to exhibit a resulting magnetic moment of approximately 1 µB per formula unit in a partially compensated ferrimagnetic configuration.

Magnetische Wechselwirkung Spin-Austauschgekoppelter Systeme mit Nitroxid und Nitronyl-Nitroxid Radikalen

Bei der Untersuchung molekularer magnetischer Materialien spielen Metall-Radikal Verbindungen eine bedeutende Rolle. Ein Forschungsschwerpunkt stützt sich auf die Familie der Nitronyl-Nitroxid (NIT) Radikale, die sich durch eine hohe chemische Stabilität auszeichnen. Im sogenannten „Metall-Radikal Ansatz“ wurden die starken Austauschwechselwirkungen zwischen stabilen Radikalen und Übergangsmetallionen in mehrdimensionalen Netzwerken ausgiebig untersucht. Um diese Netzwerke mit NIT Radikalen aufzubauen, müssen zusätzliche funktionelle Gruppen, mit einem Abstand zur spintragenden Einheit, in das Molekül eingebaut werden. Dies kann zu einer zusätzlichen schwachen Spinaustauschwechselwirkung führen. Um diese Wechselwirkung zwischen Metalldimeren mit einem einzelnen Benzoat annalogen NIT-Radikal zu untersuchen, wurden dimere Mangan(II), Kobalt(II) und Zink(II) Komplexe mit dem Chelatliganden N,N,N',N'-Tetrakis(2-benzimid-azolylalkyl)-2-hydroxy-1,3-diamino-propan synthetisiert und zusätzlich über eine periphere Carboxylat Gruppe eines NIT Radikals verbrückt.rnDie Messungen der magnetischen Suszeptibilität weisen auf eine dominante antiferromagnetische Wechselwirkung in der Metall-Radikal Verbindung hin, bei der es sich um die Spin-Austauschwechselwirkung innerhalb des Metalldimers handelt. Durch den Vergleich mit analogen Nitrobenzoat- verbrückten Mangan(II) und Kobalt(II) Verbindungen konnte gezeigt werden, dass keine Metall-Radikal Wechselwirkung beobachtet wird, obwohl eine Wechselwirkung der pi*-orbitale mit den delokalisierten pi-System des Phenylrings durch Spin-Polarisation grundsätzlich möglich ist. Auch ESR - Messungen bestätigen dies, da der Spingrundzustand das anisotrope Signal des freien NIT Radikals aufweist. Das Radikal verhält sich somit wie ein isoliertes S=1/2 Spin-Zentrum, was zusätzlich durch DFT-Rechnungen bekräftigt werden konnte. Zusammenfassend führt also die Koordination eines NIT-Benzoats an ein antiferromagnetisch gekoppeltes Metalldimer nur zur Anhebung des Spingrundzustandes und hat keinen signifikanten Effekt auf die Austauschwechselwirkung. Um trotzdem eine Metall-Radikal Wechselwirkung beobachten zu können, ist es notwendig Koordinationsverbindungen zu synthetisieren in denen hohe Spingrundzustände besetzt werden. Dies trifft auf das analoge Kupferdimer zu, wofür eine ferromagnetische Wechselwirkung zu beobachten ist.rnNach den Regeln der Spin-Polarisation müsste die Verkürzung des Austauschpfades um eine Bindung zu einer Umkehrung des Vorzeichens der magnetischen Wechselwirkung führen. Diese Verkürzung kann man durch die Verwendung des alternativen stabilen NOA-Radikals (tert-Butyl Nitroxid) erreichen. Sowohl das NIT als auch das NOA-Radikal werden an ein Kupfer(II)-dimer koordiniert, das durch die Verwendung des oben erwähnten N6O-Liganden gebildet wurde. In der Modellverbindung, ohne einen paramagnetischen Substituenten am Benzoat, zeigen die Kupferionen eine ferromagnetische Wechselwirkung mit einem Triplett Grundzustand, dessen Existenz durch die Messung der magnetischen Suszeptibilität und ESR-Spektroskopie belegt werden kann. Aufgrund der nahezu identischen Koordinationsumgebung bleibt bei allen synthetisierten Verbindungen die Kupfer-Kupfer Wechselwirkung dabei gleich. Die Daten von ESR und magnetischen Messungen zeigen weiterhin auf eine signifikante zusätzliche Metall-Radikal Wechselwirkung hin. Bei der NIT-Verbindung ist diese Austauschwechselwirkung schwach antiferromagnetisch, während die NOA-Verbindung eine schwache ferromagnetische Kopplung aufzeigt. Diese Resultate können durch DFT Rechnungen bekräftigt werden. Der Vorzeichenwechsel des Kopplungsparameters kann durch die Verkürzung des Austauschpfades vom NIT zum NOA-Benzoat um eine Bindung erklärt werden. Durch die Wahl von geeigneten Radikal- Liganden und Metallionen, zeigt sich die Möglichkeit, Systeme zu erzeugen, in denen die Radikal-Metall Wechselwirkung auch über größere Distanzen den Spin-Grundzustand des gesamten Systems signifikant beeinflussen kann. die Anwendung dieses Konzeptes auf Metall-Radikal Cluster System sollte Von großem Interesse sein.rn

Ion trap simulations of quantum fields in an expanding universe

We propose an experiment in which the phonon excitation of ion(s) in a trap, with a trap frequency exponentially modulated at rate kappa, exhibits a thermal spectrum with an Unruh temperature given by k(B)T=h kappa. We discuss the similarities of this experiment to the response of detectors in a de Sitter universe and the usual Unruh effect for uniformly accelerated detectors. We demonstrate a new Unruh effect for detectors that respond to antinormally ordered moments using the ion's first blue sideband transition.

Estudi del comportament de materials nanoestructurats en el tractament d'aigües contaminades amb arsènic

El SPION (Super Paramagnetic Iron Oxide Nanoparticles) ha estat estudiat com un nou adsorbent per eliminar l’arsènic d’aigües contaminades. Les condicions òptimes de treball es van assolir per un pH de 3,6 i per concentracions inferiors als 100ppm. No es van trobar interferències significatives produïdes pels cations Cu, Ni i Zn en l’adsorció de l’As, sent el fosfat l’anió que més interfereix. Una esponja de cel·lulosa s’ha utilitzat com a suport del SPION, per disminuir les agregacions de les nanopartícules en suspensió i per proporcionar una material adequat per l’adsorció en continu, experiment amb columnes. Així, es va obtenir un augment de la capacitat d’adsorció del SPION per l’As(V), mentre que per l’As(III) continua sent baixa, per tant s’augmenta la selectivitat per l’As(V). Les interferències aniòniques afecten d’igual manera a l’adsorció de l’As(III) i l’As(V) quan l’adsorció és en continu o en discontinu. Els cations metàl·lics no interfereixen en l’adsorció de l’arsènic, a excepció del coure que és adsorbit i porta a la disminució de l’adsorció d’arsènic.