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Weighted density approximation - Revision history
2024-03-28T14:50:34Z
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Carl McBride at 10:13, 9 October 2007
2007-10-09T10:13:54Z
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>In this approximation the <del style="font-weight: bold; text-decoration: none;">free </del>energy depends on</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>In this approximation the <ins style="font-weight: bold; text-decoration: none;">[[Helmholtz </ins>energy <ins style="font-weight: bold; text-decoration: none;">function]] </ins>depends on the weighted density, that is: some average of the <ins style="font-weight: bold; text-decoration: none;">density.</ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>the weighted density, that is: some average of the</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">==See also==</ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>density<del style="font-weight: bold; text-decoration: none;">.</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">*[[Kierlik and Rosinberg's weighted </ins>density <ins style="font-weight: bold; text-decoration: none;">approximation]]</ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">*[[Tarazona's weighted density approximation]]</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==References==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==References==</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>#[http://dx.doi.org/10.1016/0038-1098(77)91185-1 O. Gunnarsson, M. Jonson and B. I. Lundqvist "Exchange and correlation in inhomogeneous electron systems", Solid State Communications '''24''' pp. 765-768 (1977)]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>#[http://dx.doi.org/10.1016/0038-1098(77)91185-1 O. Gunnarsson, M. Jonson and B. I. Lundqvist "Exchange and correlation in inhomogeneous electron systems", Solid State Communications '''24''' pp. 765-768 (1977)]</div></td></tr>
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Carl McBride
http://www.sklogwiki.org/SklogWiki/index.php?title=Weighted_density_approximation&diff=4495&oldid=prev
Dduque at 09:47, 9 October 2007
2007-10-09T09:47:16Z
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<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">In this approximation the free energy depends on</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">the weighted density, that is: some average of the</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">density.</ins></div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==References==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==References==</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>#[http://dx.doi.org/10.1016/0038-1098(77)91185-1 O. Gunnarsson, M. Jonson and B. I. Lundqvist "Exchange and correlation in inhomogeneous electron systems", Solid State Communications '''24''' pp. 765-768 (1977)]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>#[http://dx.doi.org/10.1016/0038-1098(77)91185-1 O. Gunnarsson, M. Jonson and B. I. Lundqvist "Exchange and correlation in inhomogeneous electron systems", Solid State Communications '''24''' pp. 765-768 (1977)]</div></td></tr>
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Dduque
http://www.sklogwiki.org/SklogWiki/index.php?title=Weighted_density_approximation&diff=4419&oldid=prev
Carl McBride at 13:58, 27 September 2007
2007-09-27T13:58:52Z
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==References==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==References==</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>#[http://dx.doi.org/10.1016/0038-1098(77)91185-1 O. Gunnarsson, M. Jonson and B. I. Lundqvist "Exchange and correlation in inhomogeneous electron systems", Solid State Communications '''24''' pp. 765-768 (1977)]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>#[http://dx.doi.org/10.1016/0038-1098(77)91185-1 O. Gunnarsson, M. Jonson and B. I. Lundqvist "Exchange and correlation in inhomogeneous electron systems", Solid State Communications '''24''' pp. 765-768 (1977)]</div></td></tr>
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Carl McBride
http://www.sklogwiki.org/SklogWiki/index.php?title=Weighted_density_approximation&diff=4171&oldid=prev
Carl McBride: New page: ==References== #[http://dx.doi.org/10.1016/0038-1098(77)91185-1 O. Gunnarsson, M. Jonson and B. I. Lundqvist "Exchange and correlation in inhomogeneous electron systems", Solid State Commu...
2007-09-23T15:12:22Z
<p>New page: ==References== #[http://dx.doi.org/10.1016/0038-1098(77)91185-1 O. Gunnarsson, M. Jonson and B. I. Lundqvist "Exchange and correlation in inhomogeneous electron systems", Solid State Commu...</p>
<p><b>New page</b></p><div>==References==<br />
#[http://dx.doi.org/10.1016/0038-1098(77)91185-1 O. Gunnarsson, M. Jonson and B. I. Lundqvist "Exchange and correlation in inhomogeneous electron systems", Solid State Communications '''24''' pp. 765-768 (1977)]<br />
#[http://dx.doi.org/10.1103/PhysRevB.17.3735 J. A. Alonso and L. A. Girifalco "Nonlocal approximation to the exchange potential and kinetic energy of an inhomogeneous electron gas", Physical Review B '''17'' pp. 3735 - 3743 (1978)]<br />
#[http://dx.doi.org/10.1103/PhysRevB.20.3136 O. Gunnarsson, M. Jonson and B. I. Lundqvist "Descriptions of exchange and correlation effects in inhomogeneous electron systems" Physical Review B '''20''' 3136 - 3164 (1979)]<br />
[[Category: Density-functional theory]]</div>
Carl McBride