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	<title>CamCASP/Programming/8 - Revision history</title>
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		<title>import&gt;Am592 at 10:30, 23 April 2010</title>
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		<updated>2010-04-23T10:30:43Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[CamCASP]] =&amp;gt; [[CamCASP/Programming | Programming]] =&amp;gt; Density Fitting&lt;br /&gt;
&lt;br /&gt;
We need to change our strategy. Numerical evidence suggests that the auxiliary basis should always be of the DC or DC+ types. But the routines we use to evaluate the S and T matrices needed for DF were optimized for the MC type of basis. This could means we waste resources and needs to be looked into.&lt;br /&gt;
&lt;br /&gt;
==T-matrix Dimer==&lt;br /&gt;
This object is of the form:&lt;br /&gt;
&amp;lt;math&amp;gt;&lt;br /&gt;
  T_{ab,k} = &amp;lt; \phi_a \phi_b | \chi_k &amp;gt;&lt;br /&gt;
&amp;lt;/math&amp;gt;&lt;br /&gt;
where &amp;lt;math&amp;gt;\phi_a&amp;lt;/math&amp;gt; is a MO of molecule A, &amp;lt;math&amp;gt;\phi_b&amp;lt;/math&amp;gt; of B and &amp;lt;math&amp;gt;\chi_k&amp;lt;/math&amp;gt; is an auxiliary basis function of the dimer. At present we construct the auxiliary basis of the dimer my merging the two bases using subroutine merge_bases from module basis_operations. This seems to remove duplicate functions. So the auxiliary basis of the dimer does  not contain duplicate functions.&lt;br /&gt;
&lt;br /&gt;
But the main basis sets are merged without any attempt to see if basis functions are the same. So there is quite a lot of duplication with the MC+ basis type and a doubling of the basis with the DC or DC+ types. This is awful given that our integral modules are already slow.&lt;/div&gt;</summary>
		<author><name>import&gt;Am592</name></author>
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