Number theoretical aspects of primitive Egyptian labellings of the triangle

In the theory of graphs various graph labellings are known. In this paper we deal with number theoretical aspects of Egyptian labellings especially of triangles and introduce the concept of a maximal Egyptian labelling of a graph.     

High MS-compatibility of silver nitrate-stained protein spots from 2-DE gels using ZipPlates and AnchorChips for successful protein identification

The availability of easy-to-handle, sensitive, and cost-effective protein staining protocols for 2-DE, in conjunction with a high compatibility for subsequent MS analysis, is still a prerequisite for successful proteome research. In this article we describe a quick and easy-to-use methodological protocol based on sensitive, homogeneous, and MS-compatible silver nitrate protein staining, in combination with an in-gel digestion, employing the Millipore 96-well ZipPlate system for peptide preparation. The improved quality and MS compatibility of the generated protein digests, as compared to the otherwise weakly MS-compatible silver nitrate staining, were evaluated on real tissue samples by analyzing 192 Coomassie-stained protein spots against their counterparts from a silver-stained 2-DE gel. Furthermore, the applicability of the experimental setup was evaluated and demonstrated by the analysis of a large-scale MALDI-TOF MS experiment, in which we analyzed an additional ~1000 protein spots from 2-DE gels from mouse liver and mouse brain tissue.     

Configuration and internal dynamics of CH2ClF...krypton

The molecular complex chlorofluoromethane-krypton has been investigated by Fourier transform microwave spectroscopy in a supersonic expansion. The rotational spectra have been assigned for the CH235ClF...84Kr, CH235ClF...86Kr, and CH237ClF...84Kr species, showing that, in the equilibrium configuration, the krypton atom is located out of the ClCF plane, interacting with both F and Cl atoms. All rotational transitions are split in several 35Cl or 37Cl quadrupole components, each of them further split into two lines, due to the tunneling motion of the Kr atom between two equivalent positions, below and above the ClCF plane. The feasible low-energy pathway between these two structurally degenerate conformations is described, in a first approximation, by a circular motion around the C-Cl bond, with a barrier estimated to be about 74 cm(-1).     

Spectroscopic and computational studies of α-keto acid binding to Dke1: understanding the role of the facial triad and the reactivity of β-diketones

The O(2) activating mononuclear nonheme iron enzymes generally have a common facial triad (two histidine and one carboxylate (Asp or Glu) residue) ligating Fe(II) at the active site. Exceptions to this motif have recently been identified in nonheme enzymes, including a 3His triad in the diketone cleaving dioxygenase Dke1. This enzyme is used to explore the role of the facial triad in directing reactivity. A combination of spectroscopic studies (UV-vis absorption, MCD, and resonance Raman) and DFT calculations is used to define the nature of the binding of the α-keto acid, 4-hydroxyphenlpyruvate (HPP), to the active site in Dke1 and the origin of the atypical cleavage (C2-C3 instead of C1-C2) pattern exhibited by this enzyme in the reaction of α-keto acids with dioxygen. The reduced charge of the 3His triad induces α-keto acid binding as the enolate dianion, rather than the keto monoanion, found for α-keto acid binding to the 2His/1 carboxylate facial triad enzymes. The mechanistic insight from the reactivity of Dke1 with the α-keto acid substrate is then extended to understand the reaction mechanism of this enzyme with its native substrate, acac. This study defines a key role for the 2His/1 carboxylate facial triad in α-keto acid-dependent mononuclear nonheme iron enzymes in stabilizing the bound α-keto acid as a monoanion for its decarboxylation to provide the two additional electrons required for O(2) activation.     

How trifluoroacetone interacts with water

The rotational spectra of five isotopologues of the molecular adduct 1,1,1-trifluoroacetone-water have been assigned using pulsed-jet Fourier-transform microwave spectroscopy. All rotational transitions appear as doublets, due to the internal rotation of the methyl group. Analysis of the tunneling splittings allows one to determine accurately the height of the 3-fold barrier to internal rotation of the methyl group and its orientation, leading to V(3) = 3.29 kJ·mol(-1) and ∠(a,i) = 67.5°, respectively. The water molecule is linked to the keton molecule on the side of the methyl group through a O-H···O hydrogen bond and a C-H···O intermolecular contact, lying in the effective plane of symmetry of the complex.     

Gram scale synthesis of 3-fluoro-1-hydroxyacetone phosphate: a novel donor substrate in rabbit muscle aldolase-catalyzed aldol reactions

An efficient gram scale synthesis of 3-fluoro-1-hydroxyacetone phosphate (FHAP) has been developed. As a close analog to dihydroxyacetone phosphate, FHAP was used as a novel donor substrate for rabbit muscle aldolase catalyzed reactions. The different binding affinities of the gem-diol and keto form of FHAP were studied by (19)F-NMR.     

A multiresolution remeshed Vortex-In-Cell algorithm using patches

We present a novel multiresolution Vortex-In-Cell algorithm using patches of varying resolution. The Poisson equation relating the fluid vorticity and velocity is solved using Fast Fourier Transforms subject to free space boundary conditions. Solid boundaries are implemented using the semi-implicit formulation of Brinkman penalization and we show that the penalization can be carried out as a simple interpolation. We validate the implementation against the analytic solution to the Perlman test case and by free-space simulations of the onset flow around fixed and rotating circular cylinders and bluff body flows around bridge sections.     

A Note on Spaces of Absolutely Convergent Fourier Transforms

Let \({\mathcal {F}}f\) be an abolutely convergent Fourier transform on the real line. We extend the following result of K. Karlander to \({\mathbf {R}^{n}}\) for \(n \ge 1\) : Any closed reflexive subspace \(\{ {\mathcal {F}}f \}\) of the space of continuous functions vanishing at infinity is of finite dimension.     

Site-selective time-resolved laser fluorescence spectroscopy of Eu3+ in calcite

Three samples of calcite homogeneously doped with Eu(3+) were synthesized in a mixed-flow reactor. By means of selective excitation of the 5D0-->7F0 transition at low temperatures (T<20 K), three different Eu(3+) species (species A, B, and C, respectively) could be discriminated. For each one, the emission spectrum and lifetime were obtained after selective excitation of the single species. On the basis of these data, species C could be identified as Eu(3+) incorporated into the calcite lattice on the (nearly) octahedral Ca(2+) site. Species B was also identified as Eu(3+) incorporated into the calcite lattice, but the ligand field shows a much weaker symmetry. Species A, however, is not incorporated into the crystal's bulk, having 1-2 H(2)O ligands left in its first coordination sphere and showing very little symmetry, and is considered as Eu(3+) adsorbed onto the calcite surface. The emission spectra of species C for Eu:calcite grown in the presence of Na(+) were found to differ from those of Eu:calcite synthesized in the presence of K(+). The latter revealed a strong distortion in site symmetry, which was not observed in the samples grown in Na(+) solutions. This finding provides spectroscopic evidence in favor of an incorporation mechanism based on the charge-balanced coupled substitution of Na(+)+Eu(3+)<-->2Ca(2+).