Pore size characterization of mesoporous materials by a thermodynamic approach: A curvature-dependent solid-fluid potential

A thermodynamic analysis of nitrogen adsorption in cylindrical pores of MCM-41 and SBA-15 samples at 77 K is presented within the framework of the Broekhoff and de Boer (BdB) theory. We accounted for the effect of the solid surface curvature on the potential exerted by the pore walls. The developed model is in quantitative agreement with the non-local density functional theory (NLDFT) for pores larger than 2 tun. This modified BdB theory accounting for the Curvature Dependent Potential (CDP-BdB) was applied to determine the pore size distribution (PSD) of a number of MCM-41 and SBA-15 samples on the basis of matching the equilibrium theoretical isotherm against the adsorption branch of the experimental isotherm. In all cases investigated the PSDs determined with the new approach are very similar to those determined with the non-local density functional theory also using the same basis of matching of theoretical isotherm against the experimental adsorption branch. The developed continuum theory is very simple in its utilization, suggesting that CDP-BdB could be used as an alternative tool to obtain PSD for mesoporous solids from the analysis of adsorption branch of adsorption isotherms of any sub-critical fluids.

A Bayesian approach to imposing curvature on distance functions

The estimated parameters of output distance functions frequently violate the monotonicity, quasi-convexity and convexity constraints implied by economic theory, leading to estimated elasticities and shadow prices that are incorrectly signed, and ultimately to perverse conclusions concerning the effects of input and output changes on productivity growth and relative efficiency levels. We show how a Bayesian approach can be used to impose these constraints on the parameters of a translog output distance function. Implementing the approach involves the use of a Gibbs sampler with data augmentation. A Metropolis-Hastings algorithm is also used within the Gibbs to simulate observations from truncated pdfs. Our methods are developed for the case where panel data is available and technical inefficiency effects are assumed to be time-invariant. Two models-a fixed effects model and a random effects model-are developed and applied to panel data on 17 European railways. We observe significant changes in estimated elasticities and shadow price ratios when regularity restrictions are imposed. (c) 2004 Elsevier B.V. All rights reserved.

Azedaralide: total synthesis, relative and absolute stereochemical assignment

Azedaralide, a potentially advanced intermediate for the total synthesis of various tetranortriterpenes, was constructed utilising the Fernandez-Mateos protocol and assigned both relative and absolute stereochemistries. Both asymmetric aldol and classical chiral resolution attempts failed to deliver pure enantiomers whereas preparative chiral chromatography resolved racemic azedaralide with ease. (c) 2006 Elsevier Ltd. All rights reserved.

The absolute structural requirement for a proline in the P3 '-position of Bowman-Birk protease inhibitors is surmounted in the minimized SFTI-1 scaffold

SFTI-1 is a small cyclic peptide from sunflower seeds that is one of the most potent trypsin inhibitors of any naturally occurring peptide and is related to the Bowman-Birk family of inhibitors (BBIs). BBIs are involved in the defense mechanisms of plants and also have potential as cancer chemopreventive agents. At only 14 amino acids in size, SFTI-1 is thought to be a highly optimized scaffold of the BBI active site region, and thus it is of interest to examine its important structural and functional features. In this study, a suite of 12 alanine mutants of SFTI-1 has been synthesized, and their structures and activities have been determined. SFTI-1 incorporates a binding loop that is clasped together with a disulfide bond and a secondary peptide loop making up the circular backbone. We show here that the secondary loop stabilizes the binding loop to the consequences of sequence variations. In particular, full-length BBIs have a conserved cis-proline that has been shown previously to be required for well defined structure and potent activity, but we show here that the SFTI-1 scaffold can accommodate mutation of this residue and still have a well defined native-like conformation and nanomolar activity in inhibiting trypsin. Among the Ala mutants, the most significant structural perturbation occurred when Asp(14) was mutated, and it appears that this residue is important in stabilizing the trans peptide bond preceding Pro(13) and is thus a key residue in maintaining the highly constrained structure of SFTI-1. This aspartic acid residue is thought to be involved in the cyclization mechanism associated with excision of SFTI-1 from its 58-amino acid precursor. Overall, this mutational analysis of SFTI-1 clearly defines the optimized nature of the SFTI-1 scaffold and demonstrates the importance of the secondary loop in maintaining the active conformation of the binding loop.

On the absolute calibration of bench-top small-angle X-ray scattering instruments: a comparison of different standard methods

Absolute calibration relates the measured (arbitrary) intensity to the differential scattering cross section of the sample, which contains all of the quantitative information specific to the material. The importance of absolute calibration in small-angle scattering experiments has long been recognized. This work details the absolute calibration procedure of a small-angle X-ray scattering instrument from Bruker AXS. The absolute calibration presented here was achieved by using a number of different types of primary and secondary standards. The samples were: a glassy carbon specimen, which had been independently calibrated from neutron radiation; a range of pure liquids, which can be used as primary standards as their differential scattering cross section is directly related to their isothermal compressibility; and a suspension of monodisperse silica particles for which the differential scattering cross section is obtained from Porod's law. Good agreement was obtained between the different standard samples, provided that care was taken to obtain significant signal averaging and all sources of background scattering were accounted for. The specimen best suited for routine calibration was the glassy carbon sample, due to its relatively intense scattering and stability over time; however, initial calibration from a primary source is necessary. Pure liquids can be used as primary calibration standards, but the measurements take significantly longer and are, therefore, less suited for frequent use.

Obstacles to a totally functional programming style

"Totally functional programming" (TFP) advocates the complete replacement of symbolic representations for data by functions. TFP is motivated by observations from practice in language extensibility and functional programming. Its technical essence extends the role of "fold" functions in structuring functional programs to include methods that make comparisons on elements of data structures. The obstacles that currently prevent the immediate uptake of TFP as a style within functional programming equally indicate future research directions in the areas of theoretical foundations, supporting technical infrastructure, demonstrated practical applicability, and relationship to OOP.