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24 THE CLOSED SHELL CCSD PROGRAM 187<br />

24.9 Dual basis set calculations<br />

Dual basis set calculations are possible with the closed-shell MP2 and CCSD codes (conventional<br />

and local, also with density fitting where available). Normally this means that the Hartree-<br />

Fock calculation is done with a smaller basis set than the correlation calculation. In <strong>MOLPRO</strong>,<br />

two possibilities exist: the recommended one is to perform the HF and MP2 or CCSD calculations<br />

using the same basis set, and only omit higher angular momentum functions in the HF.<br />

This means that the resulting HF orbitals can be used directly in the correlation calculation.<br />

Alternatively, one can use entirely different basis sets in HF and the correlation calculation; in<br />

this case the orbitals in the correlation calculation are determined by a least square fit to the<br />

HF orbitals. This is less efficient (in particular in fully direct calculations) and somewhat less<br />

accurate. In any case, a new Fock matrix is computed in the MP2/CCSD program and block<br />

diagonalized in the occupied and virtual orbital subspaces. A perturbative singles correction is<br />

applied in the MP2 in order to reduce the HF basis set error.<br />

Typically, the input is as follows:<br />

basis=vtz(d/p)<br />

hf<br />

basis=vtz<br />

ccsd(t),dual=1<br />

!triple zeta basis set without f on heavy atoms and without<br />

!Hartree-Fock in the small basis<br />

!full cc-pVTZ basis set to be used in ccsd<br />

!ccsd calculation<br />

The option dual=1 is required, otherwise the program will stop with an error message saying<br />

that the basis set of the reference orbitals is inconsistent. This is a precaution in order to avoid<br />

unexpected results.<br />

Similarly, this works for other closed-shell single reference methods such as MP2, QCISD,<br />

MP2-F12, CCSD-F12, and for the local variants LMP2, LQCISD, LCCSD in either conventional<br />

or direct mode. Furthermore, dual basis set DF-LMP2, DF-LCCSD, DF-LMP2-F12<br />

calculations are possible.

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