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The Role of the Lone Pairs in Hydrogen Bonding

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Monday, February 5 14:30-16:00<br />

<strong>The</strong> Method <strong>of</strong> Increments - a Wavefunction-based Ab-<strong>in</strong>itio<br />

Correlation Methods for Solids<br />

Beate Paulus<br />

Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Stra38, 01187 Dresden, Germany<br />

Due to a localization <strong>of</strong> <strong>the</strong> orbitals it is possible to apply wavefunction-based correlation methods to<br />

solids. <strong>The</strong> so-called method <strong>of</strong> <strong>in</strong>crements is based on a preced<strong>in</strong>g HF treatment explicitly calculates<br />

<strong>the</strong> many-body wavefunction <strong>in</strong> contrast to <strong>the</strong> density-functional <strong>the</strong>ory which relies on <strong>the</strong> groundstate<br />

density <strong>of</strong> <strong>the</strong> system. <strong>The</strong> correlation energy <strong>of</strong> <strong>the</strong> solid is expressed <strong>in</strong> a <strong>in</strong>cremental expansion<br />

<strong>in</strong> terms <strong>of</strong> localised orbitals or <strong>of</strong> a group <strong>of</strong> localised orbitals. <strong>The</strong> method <strong>of</strong> <strong>in</strong>crements which has<br />

been successfully applied to a great variety <strong>of</strong> materials with a band gap 1 , is now extended to metals.<br />

<strong>The</strong>re <strong>the</strong> correlation energy <strong>in</strong>crements are determ<strong>in</strong>ed <strong>in</strong> f<strong>in</strong>ite, properly embedded fragments <strong>of</strong> <strong>the</strong><br />

metal. In detail <strong>the</strong> <strong>in</strong>fluence <strong>of</strong> <strong>the</strong> electronic correlation on <strong>the</strong> ground-state properties <strong>of</strong> solid mercury<br />

are discussed. Whereas <strong>the</strong> DFT treatment yields for mercury not conclud<strong>in</strong>g results, <strong>the</strong> method <strong>of</strong><br />

<strong>in</strong>crements achieves a very good agreement with experimental ground state properties 2 − 4. First results<br />

for <strong>the</strong> structure <strong>of</strong> <strong>the</strong> o<strong>the</strong>r group IIB metals Z<strong>in</strong>c and Cadmium are presented, which <strong>the</strong> hexagonal<br />

close-packed (hcp) structure, but with an anomalous c/a ratio which is far from ideal hcp.<br />

1 B. Paulus, Phys. Rep. 421, 1 (2006). 2 B. Paulus and K. Rosciszewski, Chem. Phys. Lett., 394, 96100<br />

(2004). 3 B. Paulus, K. Rosciszewski, N. Gaston, P. Schwerdtfeger and H. Stoll, Phys. Rev. B 70, 165106<br />

(2004). 4 N. Gaston, B. Paulus, K. Rosciszewski, P. Schwerdtfeger and H. Stoll, Phys. Rev. B 74, 094102<br />

(2006).<br />

6

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