Existing models for the diffusive growth of voids on grain interfaces, at elevated temperature, are for the most part based on quasi-equilibrium assumptions: surface diffusion is assumed to be sufficiently rapid that the cavity has a rounded, equilibrium shape, and hence cavity growth is assumed to be rate-limited only by grain boundary diffusion. However, creep rupture cavities sometimes have narrow, crack-like shapes and it is appropriate to investigate non-equlibrium models for diffusive rupture. We do so here by comparing the quasi-equilibrium model to another limiting case based on a narrow, crack-like cavity shape. Criteria for choosing between the models are given on the basis of representative relaxation times for the surface diffusion process, and also by examining the properties of a ‘self-similar’ solution for cavity shape. By a suitable choice of parameters which measure the growth rate, this solution can be made to give results corresponding to either limiting case, and aids the interpolation between them. The results suggest that if s is the ratio of the applied stress to that which just equilibrates cavities against sintering, then for circular cavities on a grain boundary with diameter equal to a quarter of their average center-to-center spacing, the quasi-equilibrium mode applies when s < 1 + 6Δ and the crack-like mode when s > 2 + 9Δ. Here αD is the ratio of surface to grain boundary diffusivity. Also, the stress dependence of the growth rate and rupture lifetime is established in each case, and the results are discussed in relation to the interpretation of experimental data.
Numerical Methods, Software, and Analysis, Second Edition introduces the methods, tools, and ideas of numerical computation.
This chapter discusses the preparation, isolation, and characterization of fullerene clusters, and solids based on these clusters. Several techniques are used to prepare crude mixtures of fullerenes, and isolate and characterize pure C. Simple resistive vaporization of graphite rods could produce fullerenes in substantial yield. This procedure is often termed the Kratschmer–Huffman method and is a straightforward and low cost method for generating large quantities of fullerene-containing carbon soot. There are several experimental factors that can be varied to maximize the yield of fullerene clusters in the soot produced from the vaporization of graphite electrodes. These factors include the vaporization current density and helium partial pressure. A second, very useful and powerful technique for producing fullerene clusters involves laser ablation of graphite in a helium atmosphere. Several other techniques, including hydrocarbon combustion, low-pressure helium sputtering, electron beam evaporation, and inductively coupled RF evaporation of graphite targets have been used to prepare fullerene containing carbon products. The chapter also discusses several approaches for preparing isotopically substituted clusters. Finally, the chapter discusses the status and prospects of several new fullerene building blocks, including endohedral metal clusters and carbon nanotubes.
Genome-wide association studies (GWAS) have been successful in identifying genomic loci associated with complex traits. Genetic fine-mapping aims to detect independent causal variants from the GWAS-identified loci, adjusting for linkage disequilibrium patterns.
Visible spectra for the series of title complexes (I) and (II) show a blue‐shift in the MLCT transition with increasing metal‐metal distance.
ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTLack of Effect of the Length of Oligoglycine- and Oligo(ethylene glycol)-Derived para-Substituents on the Affinity of Benzenesulfonamides for Carbonic Anhydrase II in SolutionAhamindra Jain, Shaw G. Huang, and George M. WhitesidesCite this: J. Am. Chem. Soc. 1994, 116, 12, 5057–5062Publication Date (Print):June 1, 1994Publication History Published online1 May 2002Published inissue 1 June 1994https://doi.org/10.1021/ja00091a005Request reuse permissionsArticle Views974Altmetric-Citations43LEARN ABOUT THESE METRICSArticle Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to reflect usage leading up to the last few days.Citations are the number of other articles citing this article, calculated by Crossref and updated daily. Find more information about Crossref citation counts.The Altmetric Attention Score is a quantitative measure of the attention that a research article has received online. Clicking on the donut icon will load a page at altmetric.com with additional details about the score and the social media presence for the given article. Find more information on the Altmetric Attention Score and how the score is calculated. Share Add toView InAdd Full Text with ReferenceAdd Description ExportRISCitationCitation and abstractCitation and referencesMore Options Share onFacebookTwitterWechatLinked InReddit PDF (2 MB) Get e-AlertscloseSupporting Info (2)»Supporting Information Supporting Information Get e-Alerts