1,154 research outputs found

    An ab initio and matrix isolation infrared study of the 1:1 C<SUB>2</SUB>H<SUB>2</SUB>-CHCl<SUB>3</SUB> adduct

    Get PDF
    The details of weak C-H&#183;&#183;&#183;&#960; interactions that control several inter and intramolecular structures have been studied experimentally and theoretically for the 1:1 C2H2-CHCl3 adduct. The adduct was generated by depositing acetylene and chloroform in an argon matrix and a 1:1 complex of these species was identified using infrared spectroscopy. Formation of the adduct was evidenced by shifts in the vibrational frequencies compared to C2H2 and CHCl3 species. The molecular structure, vibrational frequencies and stabilization energies of the complex were predicted at the MP2/6-311+G(d,p) and B3LYP/6-311+G(d,p) levels. Both the computational and experimental data indicate that the C2H2-CHCl3 complex has a weak hydrogen bond involving a C-H&#183;&#183;&#183;&#960; interaction, where the C2H2 acts as a proton acceptor and the CHCl3 as the proton donor. In addition, there also appears to be a secondary interaction between one of the chlorine atoms of CHCl3 and a hydrogen in C2H2. The combination of the C-H&#183;&#183;&#183;&#960; interaction and the secondary Cl&#183;&#183;&#183;H interaction determines the structure and the energetics of the C2H2-CHCl3 complex. In addition to the vibrational assignments for the C2H2-CHCl3 complex we have also observed and assigned features owing to the proton accepting C2H2 submolecule in the acetylene dimer

    Embeddings of hyperbolic Kac-Moody algebras into E10\mathbf{E_{10}}}

    Full text link
    We show that the rank 10 hyperbolic Kac-Moody algebra E10E_{10} contains every simply laced hyperbolic Kac-Moody algebra as a Lie subalgebra. Our method is based on an extension of earlier work of Feingold and Nicolai.Comment: 10 pages. to appear in Letters in Mathematical Physic

    Pearling and Pinching: Propagation of Rayleigh Instabilities

    Full text link
    A new category of front propagation problems is proposed in which a spreading instability evolves through a singular configuration before saturating. We examine the nature of this front for the viscous Rayleigh instability of a column of one fluid immersed in another, using the marginal stability criterion to estimate the front velocity, front width, and the selected wavelength in terms of the surface tension and viscosity contrast. Experiments are suggested on systems that may display this phenomenon, including droplets elongated in extensional flows, capillary bridges, liquid crystal tethers, and viscoelastic fluids. The related problem of propagation in Rayleigh-like systems that do not fission is also considered.Comment: Revtex, 7 pages, 4 ps figs, PR

    Twisted Conjugacy Classes in Lattices in Semisimple Lie Groups

    Full text link
    Given a group automorphism ϕ:Γ→Γ\phi:\Gamma\to \Gamma, one has an action of Γ\Gamma on itself by ϕ\phi-twisted conjugacy, namely, g.x=gxϕ(g−1)g.x=gx\phi(g^{-1}). The orbits of this action are called ϕ\phi-conjugacy classes. One says that Γ\Gamma has the R∞R_\infty-property if there are infinitely many ϕ\phi-conjugacy classes for every automorphism ϕ\phi of Γ\Gamma. In this paper we show that any irreducible lattice in a connected semi simple Lie group having finite centre and rank at least 2 has the R∞R_\infty-property.Comment: 6 page

    The Kodaira dimension of the moduli of K3 surfaces

    Full text link
    The moduli space of polarised K3 surfaces of degree 2d is a quasi-projective variety of dimension 19. For general d very little has been known about the Kodaira dimension of these varieties. In this paper we present an almost complete solution to this problem. Our main result says that this moduli space is of general type for d>61 and for d=46,50,54,58,60.Comment: 47 page

    Background and Anomaly Learning Methods for Static Gamma-ray Detectors

    Full text link
    Static gamma-ray detector systems that are deployed outdoors for radiological monitoring purposes experience time- and spatially-varying natural backgrounds and encounters with man-made nuisance sources. In order to be sensitive to illicit sources, such systems must be able to distinguish those sources from benign variations due to, e.g., weather and human activity. In addition to fluctuations due to non-threats, each detector has its own response and energy resolution, so providing a large network of detectors with predetermined background and source templates can be an onerous task. Instead, we propose that static detectors use simple physics-informed algorithms to automatically learn the background and nuisance source signatures, which can them be used to bootstrap and feed into more complex algorithms. Specifically, we show that non-negative matrix factorization (NMF) can be used to distinguish static background from the effects of increased concentrations of radon progeny due to rainfall. We also show that a simple process of using multiple gross count rate filters can be used in real time to classify or ``triage'' spectra according to whether they belong to static, rain, or anomalous categories for processing with other algorithms. If a rain sensor is available, we propose a method to incorporate that signal as well. Two clustering methods for anomalous spectra are proposed, one using Kullback-Leibler divergence and the other using regularized NMF, with the goal of finding clusters of similar spectral anomalies that can be used to build anomaly templates. Finally we describe the issues involved in the implementation of some of these algorithms on deployed sensor nodes, including the need to monitor the background models for long-term drifting due to physical changes in the environment or changes in detector performance.Comment: 12 pages, 6 figures, accepted for publication in IEEE Transactions on Nuclear Scienc

    Hiding in plain sight: Tactical concealment as a complex pathway to relational wellbeing

    Get PDF
    We argue that the current environment in higher education is one of the primary drivers for the widespread adoption of concealment tactics with the aim of enhancing wellbeing. To explore the relationship between concealment and wellbeing, we draw upon Scott’s (1990) conceptualization of ‘hidden transcripts’ and Keyes’s (1998, 2002) five dimensions of social wellbeing. Using a collaborative ethnographic approach, we examine a two-year period of individual and collective inquiry by an eclectic multidisciplinary, international group of academics. Our empirical and theoretical contributions expose a complex and, at times, seemingly contradictory relationship between tactical concealments and relational wellbeing, with variously generative and destructive pathways between them. Our research offers a lens through which we can critically explore and extend our understanding of alternative pathways to wellbeing in organizational life
    • …
    corecore