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Sum frequency generation (SFG) surface vibrational spectroscopy has been used to identify reactive surface intermediates in situ during catalytic dehydrogenation reactions of high-pressure cyclohexane (C(6)H(12)) on the Pt(111) crystal surface in the presence and absence of high-pressure hydrogen. These experiments provide the first spectroscopic evidence of cyclohexyl (C(6)H(11)) as a reactive surface intermediate during the cyclohexane catalytic conversion to benzene at high pressure in the presence of excess hydrogen. In addition, it was proposed from temperature-dependent SFG experiments that dehydrogenation of cyclohexyl is a rate-limiting step in the cyclohexane catalytic conversion to benzene.
Using the notion of fading memory we prove very strong versions of two folk theorems. The first is that any time-invariant (TI) continuous nonlinear operator can be approximated by a Volterra series operator, and the second is that the approximating operator can be realized as a finite-dimensional linear dynamical system with a nonlinear readout map. While previous approximation results are valid over finite time intervals and for signals in compact sets, the approximations presented here hold for all time and for signals in useful (noncompact) sets. The discretetime analog of the second theorem asserts that any TI operator with fading memory can be approximated (in our strong sense) by a nonlinear moving- average operator. Some further discussion of the notion of fading memory is given.
An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
This stage of our journey through the universe of one-dimensional binary Cellular Automata is devoted to period-1 rules, constituting the first of the six groups in which we systematized the 88 globally-independent CA rules. The first part of this article is mainly dedicated to reviewing the terminology and the empirical results found in the previous papers of our quest. We also introduce the concept of the ω-limit orbit with the purpose of linking our work to the classical theory of nonlinear dynamical systems. Moreover, we present the basin tree diagrams of all period-1 rules — except for rule [Formula: see text], which is trivial — along with their Boolean cubes and time-1 characteristic functions. In the second part, we prove a theorem demonstrating that all rules belonging to group 1 have robust period-1 rules for any finite, and infinite, bit-string length L. This is the first time we give analytical results on the behavior of CA local rules for large values of L and, consequently, for bi-infinite bit strings. The theoretical treatment is complemented by two remarkable practical results: an explicit formula for generating isomorphic basin trees, and an algorithm for creating new periodic orbits by concatenation. We also provide several examples of both of them, showing how they help to avoid tedious simulations.
Typical models for isolation bearings use elastic-plastic (bilinear) or other empirically derived models for lateral force-deformation behavior. These models do not include the influence of axial loads on the lateral behavior, or more generally the interaction of lateral and vertical response as a result of geometric nonlinearities. Such effects have been shown to be well-represented by a combination of linear shear and rotational springs, i.e., the two-spring model. Here, the two-spring model is extended to consider material nonlin- earity in the shear spring, and an empirical representation of the experimentally observed variation of yield strength is included. The governing equations are reformulated to be compatible with a stiffness-based state determination procedure, in which the bearing forces are found by iterative solution of the nonlinear equilibrium and kinematic equa- tions using Newton's method, and the instantaneous or tangent bearing stiffness matrix is formed from the differentials of these equations. As an example, this model has been implemented as a material model for use with a zero-length spring element in OpenSees. Comparative response history analyses of slender isolated buildings demonstrate that the geometric nonlinearities have a significant influence on the peak axial forces in the the isolation bearings in strong ground motion.
ADVERTISEMENT RETURN TO ISSUEPREVEditorialNEXTBeyond the MoleculeF. Dean TosteF. Dean TosteUniversity of California, BerkeleyMore by F. Dean Tostehttp://orcid.org/0000-0001-8018-2198Cite this: Acc. Chem. Res. 2018, 51, 12, 2980–2981Publication Date (Web):December 18, 2018Publication History Received27 November 2018Published online18 December 2018Published inissue 18 December 2018https://pubs.acs.org/doi/10.1021/acs.accounts.8b00601https://doi.org/10.1021/acs.accounts.8b00601editorialACS PublicationsCopyright © 2018 American Chemical Society. This publication is available under these Terms of Use. Request reuse permissions This publication is free to access through this site. Learn MoreArticle Views2234Altmetric-Citations8LEARN 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 InRedditEmail PDF (216 KB) Get e-AlertscloseSUBJECTS:Catalysts,Nanoporous materials,Supramolecular chemistry,Supramolecular structures and assemblies Get e-Alerts
The complexes [BP3R]MX ([BP3R] = PhB(CH2PR2)3–, R = Ph, iPr; M = Ni, Co, Fe; X = halide) were explored as platforms for generation of first-row metal silylene complexes. Direct silylation of [BP3Ph]NiCl or [BP3iPr]CoCl with (THF)2LiSiHMes2 resulted in formation of the silylene complexes [BP3Ph]Ni(μ-H)(SiMes2) and [BP3iPr]Co(μ-H)(SiMes2), respectively. In contrast, [BP3iPr]FeBr reacted with (THF)2LiSiHMes2 to produce the iron-alkyl [BP3iPr]Fe(CH2-2-(SiH2Mes)-3,5-Me2C6H2), a constitutional isomer of the expected silyl or silylene complex. Preparation of the nickel benzyl complex [BP3Ph]Ni(η2-Bn) allowed for exploration of addition–elimination chemistry for access to silylene complexes from simple primary and secondary silanes. Heating toluene solutions of [BP3Ph]Ni(η2-Bn) in the presence of CySiH3 resulted in the formation of a dimeric μ-silylene complex [Ni(μ-BP2Ph)(μ-SiHCy)]2. In the presence of 4-dimethylaminopyridine (DMAP), these conditions led to exclusive formation of the base-stabilized silylene complex [BP3Ph]Ni(μ-H)[SiHCy(DMAP)].