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25 EXCITED STATES WITH EQUATION-OF-MOTION CCSD (EOM-CCSD) 194<br />

For the first-order properties the one-electron operators should be specified in the EXPEC card,<br />

while for the second-order properties – in the POLARI card. A density can be saved by specifying<br />

the DM card.<br />

For the first-order properties the option XDEN=1 should be always given. Other options specify<br />

a type of the one-electron density, which can be either the density directly derived from the<br />

expectation-value expression, see Eq. (8) of Paper 2, or the modified formula, rigorously correct<br />

through the O(W 3 ) Møller-Plesser (MP) order, denoted as ¯X(3) resp in Papers 1 and 2. In the<br />

first case the option PROP ORDER=n can be used to specify the approximation level for single<br />

and double excitation parts of the so-called S operator (see [2], Eq. (9)); n = ±2,±3,±4, where<br />

for a positive n: all approximations to S up to n are used, and for a negative n only a density<br />

with S obtained on the |n| level will be calculated. Another option related to the S operator is<br />

HIGHW=n, where n = 0,1; if n=0, some parts of S 1 and S 2 operators of a high MP order are<br />

neglected. Below an example of a standard use of this density is given:<br />

CPROP,XDEN=1,PROP ORDER=-4,HIGHW=1<br />

In the second case the options X3RESP=1 and the CPHF,1 card (or alternatively the EXPEC<br />

card) should be specified,<br />

CPROP,XDEN=1,X3RESP=1;CPHF,1<br />

For the second-order properties always the following options should be given:<br />

CPROP,PROPAGATOR=1,EOMPROP=1<br />

The recommended CCSD(3) model from Paper 4 requires that additionally the PROP ORDER=3<br />

and HIGHW=0 options are specified. Frequencies for dynamic properties (in atomic units)<br />

should be given in variables OMEGA RE (real parts) and OMEGA IM (imaginary parts). If one<br />

of these arrays is not given, it is filled with zeros. Other options for the second-order properties<br />

involve<br />

OMEGAG<br />

DISPCOEF=n<br />

THRPROPAG<br />

STARTT1=n<br />

(default 0.3). There are two linear-equation solvers, OMEGAG is a<br />

minimum frequency, for which the second solver (working for large<br />

frequencies) is used.<br />

if n > 0, calculate dispersion integrals for the van der Waals coefficients<br />

with operators given in the POLARI card, using n as a number<br />

of frequencies for the numerical integration. In this case the frequency<br />

values given in OMEGA RE and OMEGA IM are ignored. If<br />

two molecules are calculated in the same script one after another, also<br />

the mixed dispersion integrals are calculated. The isotropic C 6 coefficient<br />

is stored in a variable DISPC6. All necessary informations<br />

for the calculation of dispersion integrals are written to the ascii file<br />

name.dispinfo, where name is the name of the <strong>MOLPRO</strong> script.<br />

if given, use this threshold as a convergence criterion for the linearequation<br />

solver for the first-order perturbed CCSD amplitudes.<br />

various start options for the iterative linear-equation solver for the<br />

first-order perturbed CCSD amplitudes, the most useful is n = 0 (zero<br />

start) and n = 7 (start from the negative of the r.h.s. vector rescaled by<br />

some energetic factors dependent on the diagonal of the Fock matrix<br />

and the specified frequency).

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