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21 MULTIREFERENCE RAYLEIGH SCHRÖDINGER PERTURBATION THEORY 165<br />

Both should give smooth potentials (unless at conical intersections or crossings of states with<br />

different symmetries), but there is no guarantee that the Davidson corrected energies of different<br />

states don’t cross. This problem is unavoidable for non-variational energies. The relaxed and<br />

rotated Davidson corrections give rather similar results; the rotated one yields somewhat larger<br />

cluster corrections and was found to give better results in the case of the F + H 2 potential [see J.<br />

Chem. Phys. 128, 03430 (2008)].<br />

By default, the different cluster corrections listed in Table 10 are computed in multi-state MRCI<br />

calculations. and stored in variables. By default, ENERGD(n)=ENERGD0(n). This can be<br />

Table 10: Cluster corrections computed in multi-state MRCI calculations. By default, the energies<br />

are in increasing order of the MRCI total energy. In single-state calculations only the fixed<br />

and relaxed values are available.<br />

Name c n (Eq.) E corr (n) (Eq.) Variable<br />

Using standard reference energies:<br />

Fixed (51) (52) ENERGD1(n)<br />

Relaxed (54) (52) ENERGD0(n)<br />

Rotated (61) (52) ENERGD2(n)<br />

Using rotated reference energies:<br />

Relaxed (54) (62) ENERGD3(n)<br />

Rotated (61) (62) ENERGD4(n)<br />

changed by setting OPTION,CLUSTER=x; then ENERGD(n)=ENERGDx(n) (default x = 0).<br />

The behaviour of Molpro 2009.1 and older can be retrieved using<br />

MRCI,SWAP,ROTREF=-1.<br />

21 MULTIREFERENCE RAYLEIGH SCHRÖDINGER PERTUR-<br />

BATION THEORY<br />

Bibliography:<br />

Original RS2/RS3:<br />

H.-J. Werner, Mol. Phys. 89, 645-661 (1996)<br />

New internally contracted RS2C:<br />

P. Celani and H.-J. Werner, J. Chem. Phys. 112, 5546 (2000)<br />

All publications resulting from use of this program must acknowledge the above.<br />

The commands<br />

RS2,options<br />

RS2C,options<br />

RS3,options<br />

are used to perform second or third-order perturbation calculations. RS3 always includes RS2<br />

as a first step. For closed-shell single-reference cases, this is equivalent to MP2 or MP3 (but a<br />

different program is used). RS2C calls a new more efficient second-order program (see below),<br />

which should normally be used if third-order is not required (note that RS3C is not available).<br />

Options can be the following:

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