LCAO-MO-SCF-CI semi-empirical π-electron calculations on heteroaromatic systems

The electronic spectra and structure for phenol, the three dihydroxybenzene isomers, and - and -naphthol have been calculated using a modification of the Pariser-Parr-Pople method. Core integrals are defined to be essentially independent of geometry and orthogonalized atomic orbitals are used. The electronic transitions considered involve singlet-singlet and triplet-triplet ^* excitations. A limited configuration interaction has been included, involving either single electron excitations or both single and double electron excitations between the two highest occupied and the two lowest unoccupied molecular orbitals. Agreement between calculated and experimental values is good, and calculated values for oscillator strengths are considerably improved when double electron excitations are admitted.

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Zusammenfassung Die Elektronenspektren und Struktur von Phenol, den drei Isomeren des Dihydroxybenzols und - und -Naphthol wurden mit einer Modifikation der PPP-Methode berechnet. Die Rumpfintegrale werden so definiert, daß sie im wesentlichen unabhängig von der Geometrie sind; es werden orthogonalisierte Atomorbitale benutzt. Die betrachteten Elektronenübergänge enthalten Singulett-Singulett- und Triplett-Triplett- ^*-Übergänge. Es wurde eine begrenzte Konfigurationswechselwirkung eingeschlossen, die nur Einelektronen- oder Ein- und Zweielektronenanregung zwischen den beiden höchsten besetzten und den beiden niedrigsten unbesetzten MO's enthält. Es besteht gute Übereinstimmung von berechneten und experimentellen Daten. Die berechneten Werte für Oszillatorenstärken werden erheblich verbessert, wenn man Zweielektronenanregung einbezieht.

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Résumé Les spectres électroniques et les structures du phénol, des trois dihydroxybenzènes isomères, de l' et du naphtol ont été calculé pour une variante de la méthode de Pariser-Parr-Pople. Les intégrales de coeur sont définies de manière à être indépendantes de la géométrie et des orbitales atomiques orthogonalisées sont employées. On considère les transitions électroniques ^* singulet-singulet et triplet-triplet. Une interaction de configuration limitée a été effectuée en considérant soit des minoexcitations soit des mono et des diexcitations de la plus haute orbitale occupée aux deux orbitales libres les plus basses. L'accord entre les valeurs calculées et les valeurs expérimentales est bon, et les valeurs calculées des forces oscillatrices sont considérablement améliorées lorsque l'on tient compte des états diexcités.

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This investigation was supported by a National Science Foundation grant, No. GB-4065. Abstracted in part from the Ph. D. thesis of G. W. Pukanic, Duquesne University, 1967.     

Micro-mechanical studies on the effect of various stress-states on ductile damage and failure

The paper deals with the effect of different stress states on damage and failure behavior of ductile materials. To be able to model these effects a continuum damage model has been proposed taking into account the dependence of the stress intensity, the stress triaxiality and the Lode parameter on the constitutive equations. The model is based on the introduction of damaged and fictitious undamaged configurations. Only experiments are not adequate enough to determine all constitutive parameters. Therefore, additional three-dimensional micro-mechanical simulations of representative volume elements have been performed to get more insight in the complex damage mechanisms. These simulations cover a wide range of different void sizes, void shapes and void distributions. After all, the results from the micro-mechanical simulations are used to propose the damage equations and to identify corresponding parameters. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Nodal sets in mathematical physics

We describe the main lines of mathematical research dealing with nodal sets of eigenfunctions since the days of Chladni. We present the material in a form hopefully suited to a nonspecialized but mathematically educated audience.     

Analytic modeling of the angular sensitivity function and modulation transfer function of ultrathin multichannel imaging systems

We propose what we believe to be a novel, refined model of the angular sensitivity function of artificial apposition compound eyes. Compared with the formerly used Gaussian approximation that was derived for natural compound eyes, our model is better suited to describe the resolution capacity of artificial compound eyes accounting for the cylindrical sensitivity function of technical receptors. It is shown that this analytic model is valid over a broad range of parameters of the optical system, which was not fulfilled by one of the previous models. Finally, an analytic approach is used to derive the modulation transfer function of these multichannel imaging systems.     

MS/MS Fragmentation Behavior Study of meso-Phenylporphyrinoids Containing Nonpyrrolic Heterocycles and meso-Thienyl-Substituted Porphyrins

Free base and cobalt(II) complexes of six meso-tetraphenylporphyrinoids containing nonpyrrolic heterocycles and of three meso-thienylporphyrins were investigated using electrospray ionization tandem mass spectrometry (ESI-MS/MS). Their fragmentation was studied in a quadrupole ion trap as a function of the porphyrinoid macrocycle structure and compared with the fragmentation behavior of the benchmark compound meso-tetraphenylporphyrin. In situ oxidation of the neutral cobalt(II) complexes under ESI conditions produced singly charged cobalt(III) porphyrinoid ions; the free bases were ionized by protonation. For the porphyrinoids with an intact porphyrin core, the major fragmentation pathways observed were the losses of the meso-substituent (for meso-phenyl groups) and characteristic fragmentations of one or more meso-substituents (for the meso-thienyl group). Complex fragmentation pathways were observed for porphyrinoids with modifications to the porphyrin core but chemically reasonable structures could be assigned to most fragments, thus delineating general patterns for the behavior of pyrrole-modified porphyrins under CID conditions.

Evidence for Electron Transfer between Graphene and Non-Covalently Bound π-Systems

Hybridizing graphene and molecules possess a high potential for developing materials for new applications. However, new methods to characterize such hybrids must be developed. Herein, the wet-chemical non-covalent functionalization of graphene with cationic π-systems is presented and the interaction between graphene and the molecules is characterized in detail. A series of tricationic benzimidazolium salts with various steric demand and counterions was synthesized, characterized and used for the fabrication of graphene hybrids. Subsequently, the doping effects were studied. The molecules are adsorbed onto graphene and studied by Raman spectroscopy, XPS as well as ToF-SIMS. The charged π-systems show a p-doping effect on the underlying graphene. Consequently, the tricationic molecules are reduced through a partial electron transfer process from graphene, a process which is accompanied by the loss of counterions. DFT calculations support this hypothesis and the strong p-doping could be confirmed in fabricated monolayer graphene/hybrid FET devices. The results are the basis to develop sensor applications, which are based on analyte/molecule interactions and effects on doping.     

Beta decay of 101Sn

The β decay of the very neutron-deficient isotope ¹⁰¹Sn was studied at the GSI on-line mass separator using silicon detectors for recording charged particles and germanium detectors for γ-ray spectroscopy. Based on the β-delayed proton data the production cross-section of ¹⁰¹Sn in the ⁵⁰Cr + ⁵⁸Ni fusion-evaporation reaction was determined to be about 60nb. The half-life of ¹⁰¹Sn was measured to be 1.9(3)s. For the first time β-delayed γ-rays of ¹⁰¹Sn were tentatively identified, yielding weak evidence for a cascade of 352 and 1065keV transitions in ¹⁰¹In. The results for the ¹⁰¹Sn decay as well as those from previous work on the ¹⁰³Sn decay are discussed by comparing them to predictions obtained from shell model calculations employing a new interaction in the ⁸⁸Sr to ¹³²Sn model space.     

Adaption of a diffractometer for time‐resolved X‐ray resonant magnetic scattering

A new set‐up is presented to measure element‐selective magnetization dynamics using the ALICE chamber [Grabis et al. (2003), Rev. Sci. Instrum. 74 , 4048–4051] at the BESSY II synchrotron at the Helmholtz‐Zentrum Berlin. A magnetic‐field pulse serves as excitation, and the magnetization precession is probed by element‐selective X‐ray resonant magnetic scattering. With the use of single‐bunch‐generated X‐rays a temporal resolution well below 100 ps is reached. The ALICE diffractometer environment enables investigations of thin films, described here, multilayers and laterally structured samples in reflection or diffuse scattering geometry. The combination of the time‐resolved set‐up with a cryostat in the ALICE chamber will allow temperature‐dependent studies of precessional magnetization dynamics and of damping constants to be conducted over a large temperature range and for a large variety of systems in reflection geometry.     

Anomalous lattice response at the Mott transition in a quasi-2D organic conductor

Discontinuous changes of the lattice parameters at the Mott metal-insulator transition are detected by high-resolution dilatometry on deuterated crystals of the layered organic conductor kappa-(BEDT-TTF)(2)Cu[N(CN)(2)]Br. The uniaxial expansivities uncover a striking and unexpected anisotropy, notably a zero effect along the in-plane c axis along which the electronic interactions are relatively strong. A huge thermal expansion anomaly is observed near the end point of the first-order transition line enabling us to explore the critical behavior with very high sensitivity. The analysis yields critical fluctuations with an exponent alpha approximately 0.8+/-0.15 at odds with the novel criticality recently proposed for these materials [Kagawa et al., Nature (London) 436, 534 (2005)]. Our data suggest an intricate role of the lattice degrees of freedom in the Mott transition for the present materials.