PPH-1003, Modélisation moléulaire |
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The theory of atoms in molecules was developed by Professor Richard Bader and colleagues at McMaster University, Ontario, Canada. The theory is presented in journal articles and in the monograph, Atoms in Molecules, a Quantum Theory by Richard F. W. Bader (Clarendon Press, 1990). A less mathematical introduction is presented in Atoms in Molecules, an Introduction by Paul Popelier (Prentice Hall, 2000).
This theory is based on the topology of the electron density distribution in molecules. In formaldehyde, for example, the electron density increases towards each nucleus. This can be depicted with contour lines of the electron density and/or with the gradient vector field of the electron density (as shown in class). A gradient vector points in the direction of increasing electron density. The gradient paths are all perpendicular to the contour lines that they cross. Gradient paths terminate at the carbon, oxygen and hydrogen nuclei (the nuclear attractors). Other gradient paths terminate at critical points between the bonded atoms (bond critical points, BCP). Bonded atoms are characterized by bond paths between them that contain a BCP. A bond path is defined by two gradient vectors that originate at the BCP and terminate at one of the nuclei. The BCP is thus a minimum in electron density along the bond path, but the BCP is a maximum in electron density for a line perpendicular to the bond path. A BCP is located on an interatomic surface, which this theory uses to divide the molecule into its constituent atoms (or atomic basins). An interatomic surface (also referred to as a zero-flux surface) does not contain any gradient paths that terminate at nuclei, but instead its gradient paths terminate at a BCP. The magnitude of the electron density at the bond critical point is indicative of the strength of the bond. Another feature of the BCP of interest is the ellipticity (if any) of the electron density around the critical point. AIM atomic charges are calculated by subtracting the total amount of electron density in an atomic basin (found by integration) from the total number of electrons in the isolated atom. There are other features of the AIM theory that we will not go into at this point (e.g., the Laplacian of the electron density). In class we will see how the Gaussian98 program can be used to find bond critical points, the electron density at these points, and the AIM atomic charges.
Note that in formaldehyde there are bond paths with critical points where we expect bonds but not between atoms that we regard as non-bonded.
Bienvenue à la page de l'assistant IUPAC. Cette page et les suivantes sont destinées à vous aider dans la nomenclature des composés organiques. Le contenu de ces pages se base sur les principes essentiels de nomenclature organique repris dans l'édition 1979 des règles de la nomenclature IUPAC et dans le livre reprenant les recommandations de 1993. Il y a aussi un logiciel "Expereact WEB" qui permet de stocker localement toutes les informations concernant des produits chimiques et ainsi d'avoir une "mémoire" des produits synthétisés au sein d'un laboratoire. Il est également possible de soumettre certaines données sur un serveur central rendant les donnes publiques (http://ccd.chemexper.com). Le programme est accessible sur : http://www.chemexper.apexhosting.com/xtweb/.
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