Third-order optical susceptibility: A comparison among various terms

Nonlinear effects, which take place as ultrafast pulses propagate in an optical fiber, are generally described using a particular expression of third-order susceptibility. During last decades particular attention has been devoted to the retrieval and physical interpretation of this expression. The form widely used in literature is now explained, following a quantum-mechanical approach, in a clear and simple way.     

The first variation of the total mass of log-concave functions and related inequalities

On the class of log-concave functions on Rⁿ${\mathbb{R}}^n$, endowed with a suitable algebraic structure, we study the first variation of the total mass functional, which corresponds to the volume of convex bodies when restricted to the subclass of characteristic functions. We prove some integral representation formulae for such a first variation, which suggest to define in a natural way the notion of area measure for a log-concave function. In the same framework, we obtain a functional counterpart of Minkowski’s first inequality for convex bodies; as corollaries, we derive a functional form of the isoperimetric inequality, and a family of logarithmic-type Sobolev inequalities with respect to log-concave probability measures. Finally, we propose a suitable functional version of the classical Minkowski’s problem for convex bodies, and prove some partial results towards its solution.     

Designing multifunctional expanded pyridiniums: properties of branched and fused head-to-tail bipyridiniums

The multifaceted potentialities of expanded pyridiniums (EPs), based on one pyridinium core bearing a 4-pyridyl or 4-pyridylium as the N-pyridinio group, are established at both experimental and theoretical levels. Two classes of head-to-tail (htt) EPs were designed, and their first representative elements were synthesized and fully characterized. The branched (B) family is made up of 2,6-diphenyl-4-aryl-1,4'-bipyridin-1-ium (or 1,1'-diium) species, denoted 1B and 2B for monocationic EPs (with aryl = phenyl and biphenyl, respectively) and 1B(Me) and 2B(Me) for related quaternarized dicationic species. The series of fused (F) analogues comprises 9-aryl-benzo[c]benzo[1,2]quinolizino[3,4,5,6-ija][1,6]naphthyridin-15-ium species, denoted 1F and 2F, and their 2,15-diium derivatives referred to as 1F(Me) and 2F(Me). Electrochemistry (in MeCN vs SCE) reveals that branched EPs undergo a single reversible bielectronic reduction at ca. -0.92 V for 1B/2B and -0.59 V for 1B(Me)/2B(Me), whereas pericondensed species show two reversible monoelectronic reductions at ca. -0.83 and -1.59 V for 1F/2F and ca. -0.42 and -1.07 V for 1F(Me)/2F(Me). Regarding electronic absorption features, all htt-EP chromophores show absorptivity in the range of ca. 1-4 × 10(4) M(-1) cm(-1), with red-edge absorptions extending toward 450 and 500 nm (in MeCN) for 2B(Me) and 2F(Me), respectively. These lowest-energy pi-pi* transitions are ascribed to intramolecular charge transfer between the electron-releasing biphenyl group and the htt-bipyridinium electron-withdrawing subsystems. EPs display room-temperature photoemission quantum yields ranging from 10% to 50%, with the exception of 1B, and branched luminophores are characterized by larger Stokes shifts (8000-10?000 cm(-1)) than fused ones. Lastly, a method to predict the efficiency of photobiscyclization of branched EPs into fused ones, based on the analysis of computed difference maps in total electron density for singlet excited states, is proposed.     

Transition from enantioselective high performance to ultra-high performance liquid chromatography: A case study of a brush-type chiral stationary phase based on sub-5-micron to sub-2-micron silica particles

Three brush-type chiral stationary phases (CSPs) differing in the particle size of the starting silica particles have been prepared by covalent grafting of the π-acidic bis-(3,5-dinitrobenzoyl)-derivative of trans-1,2-diaminocyclohexane (DACH-DNB). Starting silica particles of 4.3, 2.6 and 1.9 micron were used to generate the final CSPs using an improved, highly reproducible synthetic methodology, that allowed to assemble and surface-graft the whole chiral selector in only two steps. The different CSPs have been packed in columns of various length and diameters, and fully characterized in terms of flow permeability, kinetic performances and enantioselectivity using a set of test solutes. Very high speed and high resolution applications together with stereodynamic HPLC examples are demonstrated on the columns with reduced particle diameters, on which separations of several enantiomeric pairs are routinely obtained with analysis times in the 15–40 s range.     

Extending the use of “Inverted Chirality Columns Approach” for enantiomeric excess determination in absence of reference samples: Application to a water-soluble camptothecin derivative

The aim of the present study was to extend the use of the “Inverted Chirality Columns Approach (ICCA)” previously developed for the identification and quantitation of the trace enantiomer in highly enriched samples of the camptothecin (CPT) family of drugs to a novel water-soluble CPT derivative, namely namitecan (ST1968), currently undergoing phase I clinical trials as anticancer agent. Namitecan, identified from a series of hydrophilic 7-oxyiminomethyl derivatives, contains a free terminal amino group, which traditionally hampers the analysis under normal-phase HPLC conditions. Nevertheless, commercially available Pirkle-type chiral stationary phases (CSPs) available in both the enantiomeric forms (i.e., having the same bound selector with opposite configuration) mainly operate under normal-phase HPLC conditions. For this reason, namitecan was pre-column N-protected with isocyanates A–D and their sulfur analogues E–H to reduce its polarity by converting the amino group into a fragment compatible with the chiral recognition mechanism (i.e., ureido and thioureido groups). Once the optimal columns system and derivatizing agents were selected, an original enantioselective HPLC–MS/MS technique was developed on the Whelk-O1 CSPs.     

Antioxidant and spectroscopic studies of crosslinked polymers synthesized by grafting polymerization of ferulic acid

A novel, simple synthetic strategy for the preparation of crosslinked polymers with significant antioxidant properties is proposed. Ferulic acid (FA), a well‐known antioxidant compound, due to its reactivity toward free radical process, was inserted into a polymeric network with methacrylic acid (MAA) and ethylene glycole dimethacrylate acting as comonomer and crosslinker, respectively. All the reactants were simultaneously mixed in the polymerization feed and one‐pot radical reaction was carried out. Irregular microparticles were prepared by bulk polymerization and microspheres by precipitation polymerization. The materials were characterized by nuclear magnetic resonance–magic angle spinning (NMR‐MAS) studies, to verify effective FA insertion into polymeric networks, and by morphological, dimensional analyses, and water absorption measurement to study their superficial and swelling properties, respectively. Antioxidant properties of materials were evaluated by linoleic acid emulsion system–thiocyanate assay, determination of scavenging activity on DPPH radicals, determination of available phenolic groups in polymeric matrices, and determination of total antioxidant capacity. Copyright © 2009 John Wiley & Sons, Ltd.     

Enzyme-amplified electrochemical hybridization assay based on PNA, LNA and DNA probe-modified micro-magnetic beads

In the present study, we investigated the properties of PNA and LNA capture probes in the development of an electrochemical hybridization assay. Streptavidin-coated paramagnetic micro-beads were used as a solid phase to immobilize biotinylated DNA, PNA and LNA capture probes, respectively. The target sequence was then recognized via hybridization with the capture probe. After labeling the biotinylated hybrid with a streptavidin–enzyme conjugate, the electrochemical detection of the enzymatic product was performed onto the surface of a disposable electrode. The assay was applied to the analytical detection of biotinylated DNA as well as RNA sequences. Detection limits, calculated considering the slope of the linear portion of the calibration curve in the range 0–2 nM were found to be 152, 118 and 91 pM, coupled with a reproducibility of the analysis equal to 5, 9 and 6%, calculated as RSD%, for DNA, PNA and LNA probes respectively, using the DNA target. In the case of the RNA target, the detection limits were found to be 51, 60 and 78 pM for DNA, PNA and LNA probes respectively.     

Assessment of several hybrid DFT functionals for the evaluation of bond length alternation of increasingly long oligomers

We have optimized the ground-state geometry of nine series of increasingly long oligomers, using six hybrid density functionals (O3LYP, B3LYP, B97-1, B98, PBE0, and BHHLYP) combined with three different atomic basis sets. In each case, the obtained bond length alternation (BLA) is compared to the corresponding MP2 values. Three phenomenological categories have been set up. In the first, the BLA exponentially decreases, in which case all the tested functionals give results in very good agreement with MP2. In the second category fall the symmetric oligomers that, due to the Peierls theorem, show large BLA. For these chains, BHHLYP tends to give too large and quickly converging BLA wrt chain length, while O3LYP often leads to the opposite misjudgments, and the remaining hybrids provide valuable results. In the third category, one finds asymmetric compounds presenting significantly unequal bond lengths, for which the divergence between DFT and wave function approaches can be dramatic. Indeed, all hybrids yield too small BLA values, especially for long chain lengths. We also study the effect of chain conformation on the BLA.     

Simple extraction method and gas chromatography-mass spectrometry in the selective ion monitoring mode for the determination of phenols in wine

The concentrations of 22 components of wine, including most of those that have been shown to possess significant biological properties, have been determined by a fast and simple analytical method based on gas chromatography with mass spectrometric detection in the selective ion monitoring mode (GC/MS-SIM). The procedure involves an easy liquid-liquid extraction and derivatization methods of flavanols, phenols and carboxylic acid, using a very small wine volume. The average recovery (Rcv) ranged from 73 to 107% and linear regression coefficients (r(2)) were in a range of 0.981or=0.999. The GC/MS-SIM technique gives good specificity and sensitivity, and can therefore be suitable for routine monitoring of the concentration of individual phenolic antioxidants during winemaking and the aging process.