Disordered spheres with extensive overlap in projection: image simulation and analysis

This article simulates highly overlapped projections of spherical particles that are distributed randomly in space. The size and number of the features in the projections are examined as well as how these features change with particle size and concentration. First, there are discernable features in projection even when particles overlap extensively, and the size of these discernable features is the expected size of an individual particle. Second, the number of features increases with specimen thickness at a rate of t(0.543) when the specimen thickness is below a critical value and becomes independent of specimen thickness at higher thicknesses. A criterion is established for the critical thickness based on particle size and particle volume fraction. When the specimen thickness is known and smaller than the critical thickness, a single representative transmission electron microscopy (TEM) (or scanning TEM) image exhibiting extensive particle overlap can be used to determine the size and number density of the spherical particles.     

The generalized Chern conjecture for manifolds that are locally a product of surfaces

We consider closed manifolds that admit a metric locally isometric to a product of symmetric planes. For such manifolds, we prove that the Euler characteristic is an obstruction to the existence of flat structures, confirming an old conjecture proved by Milnor in dimension 2. In particular, the Chern conjecture follows in these cases. The proof goes via a new sharp Milnor–Wood inequality for Riemannian manifolds that are locally a product of hyperbolic planes. Furthermore, we analyze the possible flat vector bundles over such manifolds. Over closed Hilbert–Blumenthal modular varieties, we show that there are finitely many flat structures with nonzero Euler number and none of them corresponds to the tangent bundle. Some of the main results were announced in [M. Bucher, T. Gelander, Milnor–Wood inequalities for manifolds locally isometric to a product of hyperbolic planes, C. R. Acad. Sci. Paris Ser. I 346 (2008) 661–666].     

Structure and properties of Ni60(Nb100−xTax)34Sn6 bulk metallic glass alloys

Refractory bulk metallic glasses and bulk metallic glass composites are formed in quaternary Ni-Nb-Ta-Sn alloy system. Alloys of composition Ni₆₀(Nb_100−xTa_x)₃₄Sn₆ (x = 20, 40, 60, 80) alloys were prepared by injection-casting the molten alloys into copper molds. Glassy alloys are formed in the thickness of half mm strips. With thicker strips (e.g., 1 mm), Nb₂O₅ and Ni₃Sn phases and the amorphous phase form an in situ composite. Glass transition temperatures, crystallization temperatures, and ΔT_x, defined as T_x1 − T_g (T_x1: first crystallization temperature, T_g: glass transition temperature) of the alloys increase dramatically with increasing Ta contents. These refractory bulk amorphous alloys exhibit high Young’s modulus (155-170 GPa), shear modulus (56-63 GPa), and estimated yield strength (3-3.6 GPa).     

The reversible addition‐fragmentation chain transfer process and the strength and limitations of modeling: Comment on “the magnitude of the fragmentation rate coefficient”

There is appreciable uncertainty concerning the magnitude of the fragmentation rate coefficient of the intermediate radical in reversible addition‐fragmentation chain transfer (RAFT) polymerizations. A large proportion of the experimental and theoretical evidence suggests that it is a stable species with a lifetime longer than 0.0001 s. This is particularly the case when the intermediate macro‐RAFT radical is stabilized by a phenyl group attached to the radical center or has a poor leaving group. Although the occurrence to some extent of irreversible termination reactions cannot be excluded, we argue that such reactions are more likely to be a result of slow fragmentation of the intermediate macro‐RAFT radical. © 2003 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 41: 2828–2832, 2003     

Shellable nonpure complexes and posets. II

This is a direct continuation of Shellable Nonpure Complexes and Posets. I, which appeared in Transactions of the American Mathematical Society 348 (1996), 1299-1327.

     

Étude thermochimique des sels de nickel et de cuivre de quelques amino-acides

Standard enthalpies of formation of:nickel and copper salts of several amino acids (α-alanine, valine, norvaline, isoleucine, norleucine);mixed complexes of copper:. Cu(α-alanine) (valine), Cu(α-alanine) (isoleucine), and Cu(valine) (isoleucine) are determined by calorimetry.The variations of enthalpy linked to the transformation of amminated and hydrated salts of the valine and of the isoleucine into the corresponding anhydrous compounds were determined by two different procedures: indirect calorimetry and differential calorimetric analysis.     

Enzymatically generated polyphenols as array-based metal-ion sensors

Phenolic polymers containing fluorescent reporter molecules were prepared via soybean hull peroxidase (SBP) catalysis, and used as metal-based sensor components. Specifically, we generated a variety of phenolic homopolymers containing p-cresol, p-phenylphenol, or p-methoxyphenol containing one of the two fluorophores: fluorescein and calcein. The fluorescence of the resulting polyphenols was dependent on the presence of metal ions, including Cu²⁺, Fe²⁺, Zn²⁺, Mn²⁺, and Fe³⁺. The fluorescence response was dependent on both, the metal ion and the phenolic monomer used in polyphenol synthesis, indicating that significant control over the selectivity and sensitivity of metal sensing can be achieved by varying the components that comprise the phenolic polymer. In some cases, metal-ion concentrations as low as 10 μM can be analyzed. The broad reactivity of SBP toward phenolic monomers enables the use of a wide array of structures and chemistries that can assist in metal-ion detection.     

Sur la synthèse d'alkoxy-2 nitro-3 2H-chroménes

2-Alkoxy-3-nitro-2H-chromenes have been obtained by the reaction of β-nitroacetaldehyde dialkyl acetals with some salicylic aldehydes in the presence of triethylamine p-toluene sulfonate.     

Glycosidic linkage rotations determine amylose stretching mechanism

The primary mechanism for relieving tensile strain in alpha-linked polysaccharides (e.g., [alpha-d-Glc-(1-->4)alpha-d-Glc]n) is achieved by complex rotations of the glycosidic linkages. This is shown through computer simulations of atomic force microscopy stretching experiments in combination with free energy calculations of the unfolding pattern for amylose. The experimental force-extension curve is reproduced and analyzed to reveal that the chair-to-boat conversions play a smaller role than previously proposed.