A general correlation inequality and the Almost Sure Local Limit Theorem for random sequences in the domain of attraction of a stable law

In the present paper we obtain a new correlation inequality and use it for the purpose of extending the theory of the Almost Sure Local Limit Theorem to the case of lattice random sequences in the domain of attraction of a stable law. In particular, we prove ASLLT in the case of the normal domain of attraction of α$\alpha$-stable law, α∈(1,2)$\alpha \in (1,2)$.     

Hydride Migration from a Triangular Face to a Tetrahedral Cavity in Tetranuclear Iron Carbonyl Clusters upon Coordination of [AuPPh3]+ Fragments

Metal hydrides are of fundamental importance in chemistry, both as solid‐state materials and molecular compounds. The first low‐valent molecular metal cluster containing an interstitial four‐coordinate hydride in a tetrahedral site is decribed, which undergoes hydride migration from the surface to the tetrahedral cavity of the cluster upon coordination of a [AuPPh₃]⁺ fragment. The [HFe₄(CO)₁₂(AuPPh₃)₂]^? mono‐anion, which contains a surface μ₃‐H, was obtained from the reaction of [HFe₄(CO)₁₂]^3? with two equivalents of [Au(PPh₃)Cl]. This is, in turn, transformed into the neutral [HFe₄(CO)₁₂(AuPPh₃)₃] upon addition of a third [AuPPh₃]⁺ fragment, with concomitant migration of the unique hydride from the surface of the cluster to its tetrahedral cavity. All of these species have been fully characterized in solution by means of IR and multinuclear NMR spectroscopy, and in the solid state by single‐crystal X‐ray diffractometry.     

A Concise Synthesis of (R)-GABOB from L-Malic Acid

A concise synthesis of (R)-4-amino-3-hydroxybutanoic acid, starting from L-malic acid, is reported. The approach is based on the conversion of the oxazolidin-2-one 9 into a full protected form of (®)-GABOB by an Arndt-Eistert reaction.     

Oligomerisation of ethylene to linear α-olefins by tetrahedral cobalt(II) precursors stabilised by benzo[b]thiophen-2-yl-substituted (imino)pyridine ligands

On activation by MAO, 2-(imino)pyridine cobalt dichlorides bearing a benzo[b]thiophen-2-yl substituent in the 6-position of the pyridine ring oligomerise ethylene to α-olefins with turn-over-frequencies as high as 1.5 × 10⁶ mol of C₂H₄ converted (mol of Co × h)⁻¹ and productivities as high as 3769 kg of oligomers (mol of Co × h × bar)⁻¹. Aldimine precursors are more active than ketimine analogues, yet ketimines give higher molecular weight oligomers.     

Evaluation of chlorinated by-products in drinking waters of Central Friuli (Italy)

Drinkable water supplied by aqueducts undergoes preliminar potabilization which, in Italy, is mainly accomplished by chlorine addition. The bactericidal action involved in this process is always accompanied by chlorination and oxidation of organic species (mainly humic and fulvic acids) naturally present in treated waters, so that many disinfection by-products (DBPs) are formed, such as trihalomethanes (THMs) and halo-acetic acids (HAA), which can represent a chemical risk for public health. The aim of this study was the monitoring of DBPs in drinking water disinfected by chlorination, supplied by four different aqueducts of Central Friuli (Italy). DBP evaluations were performed in water samples consisting of both input and output of disinfection plants. The results of analytical determinations were worked out to provide the THM and HAA parameters for disinfected waters, while in feeding waters the following different conventional parameters were adopted: (i) trihalomethanes formation potential (THMFP), (ii) halo-acetic acids formation potential (HAAFP) and (iii) UV absorbance at 254 nm (UV254). The quite moderate content of chlorinated products found in all samples considered highlighted the excellent quality of potabilized waters available in Central Friuli. Moreover, our results confirmed that the majority of DBPs formed when chlorine is used for water disinfection consists of THMs, while chlorites and chlorates prevailed when potabilization is accomplished by using chlorine dioxide. Finally, simple UV254 monitoring turned out to be a profitable approach for the determination of chlorinated by-products only when THMs prevail among DBPs.     

The intramolecular mechanism for the second proton transfer in triosephosphate isomerase (TIM): a QM/FE approach

The intramolecular mechanism we earlier proposed [Alagona, G.; Desmeules, P.; Ghio, C.; Kollman, P. A. J Am Chem Soc 1984, 106, 3623] for the second proton transfer of the reaction catalyzed by triosephosphate isomerase (TIM) is examined ab initio at the HF and MP2/6-31+G** levels in vacuo for two conformers of the enediolate phosphate (ENEP), with the ethereal oxygen of the phosphate group either syn (X), as in the crystal structure, or anti (Y) with respect to the enediolate carbonyl O. The barrier height for the intramolecular proton transfer occurring in enediolate is very sensitive to electron correlation corrections. The MP2 internal energy barrier is much lower than the HF one, while the free energy (FE) barrier is even more favorable, indicating that the enzyme presence is not requested to speed up that step. An investigation of the dynamical aspects of the mechanism, along the pathway from ENEP A (with H on O(1)) to TS and from TS to ENEP B (with H on O(2)), was, however, carried out in the presence of the enzyme field while using a neutral His-95 with its proton on Ndelta. To perform the FE simulations, it was necessary to parametrize in the AMBER force-field the ENEP A, TS and B species, whose partial charges have been determined with the RESP procedure, with the X and Y arrangements of the phosphate head. Actually, the FE/QM approach produced a low barrier and a substantial balance between A and B, especially at the MP2 level. The trajectories, analyzed paying a particular attention to the positions assumed by His-95 and by the other active site residues, put forward somewhat different H-bond patterns around the X or Y enediolate phosphate.     

Conformational landscape of (R,R)-pterocarpans with biological activity in vacuo and in aqueous solution (PCM and/or water clusters)

All possible combinations of stable dihedral values have been considered in vacuo at the B3LYP/6-31G level for 3,9-dihydroxy-4,8-diprenylpterocarpan (erybraedin C), whose hydroxy out-out conformation had been examined earlier together with the conformational preferences of 3,9-dimethoxy-4-prenylpterocarpan (bitucarpin A) at the same level (Phys. Chem. Chem. Phys. 2004, 6, 2849). The structure with O5 trans with respect to H6a (O(t)) is about 2 kcal/mol less stable in vacuo than that with one of the H6 trans to it (H(t)); in aqueous solution its energy gap is nearly conserved. The in-in arrangement of the hydroxyl groups of erybraedin turns out to be preferred in vacuo (even considering zero point and thermal effects), where pseudo H-bonds are formed between hydroxy hydrogens and pi electron distributions of prenyl groups. The continuum solvent effect (water) at the IEF-PCM/B3LYP/6-31G level on the relative stability of the various rotamers is very limited both on bitucarpin and erybraedin. Considering the dihydrated derivatives, significant differences in the solvation energy are found between the distinct hydration sites, increasing in the order: methoxy O, ring O, hydroxy O, and hydroxy H. In hydroxy-water interactions, in fact, water prefers to behave as an H-bond acceptor unless nearby bulky groups prevent its approach. Interestingly enough, a bridging water molecule between the hydroxy H of erybraedin and the prenyl group can be found. The inclusion of BSSE corrections in hydroxy-water interactions decidedly favors out-out hydrated arrangements, followed by out-in and in-out ones. Bulk solvent effects with IEF-PCM about the dihydrated systems almost invert the stability order found in vacuo. When a four-water cluster is considered using QM methods, waters gather in H-bonded pairs around the solute OH groups. MD simulations, carried out on a pterocarpan solute (J. Phys. Chem. B 2005, 109, 16918), supply water adducts consistent with a liquid state that have also been embedded in the continuum solvent.     

Homoleptic complexes of cobalt(0) and nickel(0,I) with 1,1'-bis(diphenylphosphino)ferrocene (dppf): synthesis and characterization

Reduction of Co(dppf)Cl2 with 2 equiv of sodium naphthalenide in THF, in the presence of dppf, affords the homoleptic complex Co(dppf)2, 1, isolated in 65% yield as a brick red solid, extremely air sensitive. In solution, under inert atmosphere, 1 slowly decomposes into Co and dppf, following a first-order kinetic law (t1/2 = 21 h at 22 degrees C). Similarly to the Rh and Ir congeners, 1 undergoes a one-electron reversible reduction to [Co(dppf)2]-. Attempts to obtain this d10 species by chemical as well as electrochemical reduction of 1 lead to the hydride HCo(dppf)2, 2, as the only product that can be isolated. Reduction of Ni(dppf)Cl2 with sodium in the presence of dppf and catalytic amounts of naphthalene affords Ni(dppf)2, 3, isolated in 60% yield as a yellow air stable solid. The stoichiometric oxidation of 3 with [FeCp2]PF6 forms the d9 complex [Ni(dppf)2]PF6, 4, which represents the second example of a structurally characterized Ni(I) complex stabilized by phosphines. A single-crystal X-ray analysis shows for the metal a distorted tetrahedral environment with a dihedral angle defined by the planes containing the atoms P(1), Ni, P(2) and P(3), Ni, P(4) of 78.2 degrees and remarkably long Ni-P bond distances (2.342(3)-2.394(3) A). The EPR spectroscopic properties of 1 (at 106 K in THF) and 4 (at 7 K in 2-methyl-THF) have been examined and g tensor values measured (1, gx = 2.008, gy = 2.182, gz = 2.326; 4, gx = 2.098, gy = 2.113, gz = 2.332). A linear dependence between the hyperfine constants and the Ni-P bond distances has been evidenced. Finally, the change with time of the EPR spectrum of 4 indicates that it very slowly releases dppf.     

Rigid-plastic structures subject to dynamic loads

Summary The one-degree-of-freedom response of rigid-plastic structures is investigated for a variety of single-parameter dynamic loading-functions. Specific results, valid for any structure under the set assumptions, are obtained for single-pulse and periodic loading. The possibility of linear strain-hardening or reduction of strength with deformation is introduced. In the concluding section, the results are reviewed, and possible future researches are indicated.

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Sommario Si sviluppa uno studio teorico del comportamento di strutture rigido-plastiche sottoposte a vari tipi di carichi dinamici; sia la deformazione che il carico si suppongono dipendenti da un singolo parametro, funzione del tempo. Si approfondisce lo studio dei carichi impulsivi e periodici, per cui si forniscono risultati più dettagliati (p. es. riguardo alla più pericolosa forma dell'impulso, ed allastabilizzazione delle oscillazioni sotto carichi periodici), validi per qualsiasi struttura che rispetti le ipotesi. Si introduce quindi la possibilità di variazione (in aumento o in diminuzione) della resistenza con la deformazione, e si studia in particolare la possibilità di completocollasso. Infine, nel paragrafo conclusivo si riassumono e discutono i risultati ottenuti, e si indicano alcuni possibili sviluppi di questa ricerca.

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(on leave at the Division of Engineering, Brown University, Providence, R. I., 1968/69).