Cotorsion pairs associated with Auslander categories

Let N ≥ n + 1, and denote by K the convex hull of N independent standard gaussian random vectors in ℝⁿ. We prove that with high probability, the isotropic constant of K is bounded by a universal constant. Thus we verify the hyperplane conjecture for the class of gaussian random polytopes. Supported by the Clay Mathematics Institute and by NSF grant #DMS-0456590     

Statistics of Wave Functions for a Point Scatterer on the Torus

Quantum systems whose classical counterpart have ergodic dynamics are quantum ergodic in the sense that almost all eigenstates are uniformly distributed in phase space. In contrast, when the classical dynamics is integrable, there is concentration of eigenfunctions on invariant structures in phase space. In this paper we study eigenfunction statistics for the Laplacian perturbed by a delta-potential (also known as a point scatterer) on a flat torus, a popular model used to study the transition between integrability and chaos in quantum mechanics. The eigenfunctions of this operator consist of eigenfunctions of the Laplacian which vanish at the scatterer, and new, or perturbed, eigenfunctions. We show that almost all of the perturbed eigenfunctions are uniformly distributed in configuration space.     

Vibrational overtone spectroscopy of three-membered rings

We have recorded vapor-phase photoacoustic spectra of cyclopropane, ethylene oxide, and ethylene sulfide in the third, fourth, and fifth CH-stretching overtone regions. We have used a harmonically coupled anharmonic oscillator local mode model to facilitate analysis of the spectra. Fermi resonance between the CH-stretching and HCH-bending vibrations is essential to explain the observed wide and multistructured CH-stretching overtone bands. A number of weak combination bands can account for the remaining experimental features observed to the blue of the CH-stretching regions. We have reassigned the fundamental spectra of these three-membered rings.     

Chemically-assisted fragmentation combined with multi-dimensional liquid chromatography and matrix-assisted laser desorption/ionization post source decay, matrix-assisted laser desorption/ionization tandem time-of flight or matrix-assisted laser desorption/ionization tandem mass spectrometry for improved sequencing of tryptic peptides

Derivatization of tryptic peptides using an Ettan CAF matrix-assisted laser desorption/ionization (MALDI) sequencing kit in combination with MALDI-post source decay (PSD) is a fast, accurate and convenient way to obtain de novo or confirmative peptide sequencing data. CAF (chemically assisted fragmentation) is based on solid-phase derivatization using a new class of water stable sulfonation agents, which strongly improves PSD analysis and simplifies the interpretation of acquired spectra. The derivatization is performed on solid supports, ZipTip(microC18, limiting the maximum peptide amount to 5 microg. By performing the derivatization in solution enabled the labeling of tryptic peptides derived from 100 microg of protein. To increase the number of peptides that could be sequenced, derivatized peptides were purified using multidimensional liquid chromatography (MDLC) prior to MALDI sequencing. Following the first dimension strong cation exchange (SCX) chromatography step, modified peptides were separated using reversed-phase chromatography (RPC). During the SCX clean up step, positively charged peptides are retained on the column while properly CAF-derivatized peptides (uncharged) are not. A moderately complex tryptic digest, prepared from six different proteins of equimolar amounts, was CAF-derivatized and purified by MDLC. Fractions from the second dimension nano RPC step were automatically sampled and on-line dispensed to MALDI sample plates and analyzed using MALDI mass spectrometry fragmentation techniques. All proteins in the derivatized protein mixture digest were readily identified using MALDI-PSD or MALDI tandem mass spectrometry (MS/MS). More than 40 peptides were unambiguously sequenced, representing a seven-fold increase in the number of sequenced peptides in comparison to when the CAF-derivatized protein mix digest was analyzed directly (no MDLC-separation) using MALDI-PSD. In conclusion, MDLC purification of CAF-derivatized peptides significantly increases the success rate for de novo and confirmative sequencing using various MALDI fragmentation techniques. This new approach is not only applicable to single protein digests but also to more complex digests and could, thus, be an alternative to electrospray ionization MS/MS for peptide sequencing.     

Influence of excited state aromaticity in the lowest excited singlet states of fulvene derivatives

The absorption spectra and excited state dipole moments of four differently substituted fulvenes have been investigated both experimentally and computationally. The results reveal that the excited state dipole moment of fulvenes reverses in the first excited singlet state when compared to the ground state. The oppositely polarized electron density distributions, which dominate the ground state and the first excited singlet state of fulvenes, respectively, reflect the reversed π-electron counting rules for aromaticity in the two states (4n + 2 vs. 4n, respectively). The results show that substituents indeed influence the polarity of fulvenes in the two states, however, cooperative interactions between the substituents and the fulvene moiety are most pronounced in the ground state.     

Comparing results of X-ray diffraction, µ-Raman spectroscopy and neutron diffraction when identifying chemical phases in seized nuclear material,during a comparative nuclear forensics exercise

Journal of Radioanalytical and Nuclear Chemistry - This work presents the results for identification of chemical phases obtained by several laboratories as a part of an international nuclear...     

Uranium assay and trace element analysis of the fourth collaborative material exercise samples by the modified Davies-Gray method and the ICP-MS/OES techniques

Journal of Radioanalytical and Nuclear Chemistry - An international group of laboratories participating in CMX-4 subjected three samples to comparative nuclear forensic analysis using uranium assay...     

Quantification of lithium at ppm level in geological samples using nuclear reaction analysis

Journal of Radioanalytical and Nuclear Chemistry - Proton-induced reaction (p,α) is one type of nuclear reaction analysis (NRA) suitable especially for light element quantification....     

The Site‐Assembly Determines Catalytic Activity of Nanoparticles

Heterogeneous catalysts are often designed as metal nanoparticles supported on oxide surfaces. Here, the relation between particle morphology and reaction kinetics is investigated by scaling relation kinetic Monte Carlo simulations using CO oxidation over Pt nanoparticles as a model reaction. We find that different particle morphologies result in vastly different catalytic activities. The activity is strongly affected by kinetic couplings between sites, and a wide site distribution generally enhances the activity. The present study highlights the role of site‐assemblies as a concept that, in addition to isolated active sites, can be used to understand catalytic reactions over nanoparticles.     

N‐Z‐Pro–d‐Leu using synchrotron radiation data from a very small crystal

The crystal structure of the neuroactive artificial dipeptide N‐­benzyl­oxy­carbonylprolyl‐d ‐leucine, C₁₉H₂₆N₂O₅, was solved using synchrotron radiation data collected on a very small crystal (20 × 20 × 380 μm). The mol­ecules form hydrogen‐bonded 2₁ helices. The acid carbonyl group does not participate in strong hydrogen bonds. This is interpreted as a consequence of close‐packing requirements.