Polytechnic University of Milan

About: Polytechnic University of Milan is a education organization based out in Milan, Italy. It is known for research contribution in the topics: Computer science & Finite element method. The organization has 18231 authors who have published 58416 publications receiving 1229711 citations. The organization is also known as: PoliMi & L-NESS.

Non-causality in cointegrated systems: representation estimation and testing

Abstract: This paper addresses the problem of representing noncausality between two sets of cointegrated variables. In this case, maximum likelihood estimates of the parameters may be derived based on Johansen's approach. Likelihood ratio tests for noncausality are derived, which are different depending on the distributions of the unit roots in the marginal subsystem and the autoregressive part of the conditional subsystem. These tests are chi-squared-distributed. A Monte Carlo experiment illustrates t he advantages of the proposed approach when compared to the usual approach based on VAR's in levels. Copyright 1992 by Blackwell Publishing Ltd

Size and mobility of excitons in (6, 5) carbon nanotubes

Abstract: Knowledge of excited-state dynamics in carbon nanotubes is determinant for their prospective use in optoelectronic applications. It is known that primary photoexcitations are quasi-one-dimensional excitons, the electron–hole correlation length (‘exciton size’) of which corresponds to a finite volume in the phase space. This volume can be directly measured by nonlinear spectroscopy provided the time resolution is short enough for probing before population relaxation. Here, we report on the experimental determination of exciton size and mobility in (6, 5) carbon nanotubes. The samples are sodium cholate suspensions of nanotubes (produced by the CoMoCat method) obtained by density-gradient ultracentrifugation. By using sub-15 fs near-infrared pulses to measure the nascent bleach of the lowest exciton resonance, we estimate the exciton size to be 2.0±0.7 nm. Exciton–exciton annihilation in our samples is found to be rather inefficient so that many excitons can coexist on a single nanotube. An accurate determination of the size and diffusion length of excitons generated with single-walled nanotubes supports the Wannier–Mott picture of their behaviour, and improves the outlook for the use of nanotubes in optoelectronics and biosensing applications.

Fluorine-Centered Halogen Bonding: A Factor in Recognition Phenomena and Reactivity

Abstract: Because of the anisotropies of their electronic charge distributions, many covalently bound halogen atoms have regions of positive electrostatic potential (positive σ-holes) on their outer portions. Through these, the halogens can interact attractively with negative sites. It has sometimes been questioned whether fluorine, the least polarizable halogen, can form halogen bonds, especially in solids. Here we present computational and crystallographic evidence demonstrating that it can indeed do so, in both the gaseous and the solid phases. We show computationally, through a series of examples, that fluorine can have positive σ-holes when linked to strongly electron-withdrawing residues and that it can interact with Lewis bases to form gas phase halogen-bonded complexes. Through statistical analyses of data from the Cambridge Structural Database, we demonstrate that such fluorines do also halogen bond in the solid state, and we show several specific cases of this.