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The Role of the Lone Pairs in Hydrogen Bonding

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Monday, February 5 11:45-13:15<br />

Electron density and density matrix, a key quantity for systems<br />

at and out <strong>of</strong> equilibrium.<br />

Pierre BECKER, Jean Michel GILLET, Bland<strong>in</strong>e COURCOT<br />

Ecole Centrale Paris, Grande Voie des Vignes, 92295 Chatenay Malabry Cedex, France - SPMS CNRS<br />

Unit, pierre.becker@ecp.fr<br />

<strong>The</strong> crucial role <strong>of</strong> one particle reduced density matrices occurs when try<strong>in</strong>g to get complementary<br />

<strong>in</strong>formation from different sources <strong>of</strong> observation for steady state systems. Application to charge, sp<strong>in</strong><br />

and momentum density analysis has been <strong>the</strong> ma<strong>in</strong> research activity <strong>of</strong> our group. Tak<strong>in</strong>g advantage<br />

<strong>of</strong> <strong>the</strong> pioneer<strong>in</strong>g work by Vedene Smith and Wolf Weyrich, we were able to develop a ”pseudo-atomic,<br />

pseudo-molecular or clusterëxpansion <strong>of</strong> <strong>the</strong> reduced density matrix. This is a generalisation to density<br />

matrix <strong>of</strong> <strong>the</strong> celebrated pseudo-atomic expansion <strong>of</strong> <strong>the</strong> charge density. Each term takes <strong>in</strong>to account <strong>the</strong><br />

<strong>in</strong>teraction with neighbor<strong>in</strong>g sites. Transferability is an implied concept to be discussed. Applications<br />

go from solids to molecules <strong>in</strong> <strong>in</strong>teraction with <strong>the</strong>ir surround<strong>in</strong>g medium. We were able to jo<strong>in</strong>tly<br />

analyze Bragg and Compton scatter<strong>in</strong>g experiments. A recent generalization to pharmaceuticals and<br />

<strong>the</strong>ir <strong>in</strong>teraction with biological medium is considered. F<strong>in</strong>ally first steps for an approach <strong>of</strong> systems out<br />

<strong>of</strong> equilibrium and undergo<strong>in</strong>g chemical reactions are discussed.<br />

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