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34 PROPERTIES AND EXPECTATION VALUES 261<br />

34.3.2 Defining the density matrix (DENSITY)<br />

DENSITY,record.file [,specifications]<br />

Take density matrix to be analysed from record record on file file. Density matrices for specific<br />

states can be selected using specifications, as explained in section 4.11. Note that the density<br />

matrices are stored in the same record as the orbitals.<br />

34.3.3 Populations of basis functions (INDIVIDUAL)<br />

INDIVIDUAL;<br />

34.3.4 Example<br />

***,h2o population analysis<br />

geometry={o;h1,o,r;h2,o,r,h1,theta} !Z-matrix geometry input<br />

r=1 ang !bond length<br />

theta=104<br />

!bond angle<br />

basis=6-311g**<br />

hf<br />

!do scf calculation<br />

pop;<br />

!Mulliken population analysis using mcscf density<br />

individual<br />

!give occupations of individual basis functions<br />

http://www.molpro.net/info/current/examples/h2o_pop.com<br />

If specified, the Mulliken populations of each individual basis function are printed.<br />

34.4 Natural Bond Orbital Analysis<br />

34.4.1 Calling the Natural Bond Orbital analysis program (NBO)<br />

NBO,[WITH CORE=core option],[LEVEL=level],[KEEP WBI=wbi option];<br />

The Natural Bond Orbital Analysis of Weinhold and coworkers (J. Chem. Phys. 83 (1985)<br />

735, J. Chem. Phys. 83 (1985) 1736 and J. Chem. Phys. 78 (1983) 4066) can be called by<br />

the use of the NBO card. It reads from a density or orbital record, and performs the necessary<br />

transformations to Natural Atomic Orbitals (NAO), Natural Bond Orbitals (NBO) and Natural<br />

Localized Molecular Orbitals (NLMO). The latter can also be saved to a record and later used<br />

in local correlation treatments (cf. Section 29). By default, the full orbital space is used. The<br />

core orbitals can, however, be left out of the procedure if core option=0.<br />

One can choose to truncate the transformation series (e.g., only compute the NAO orbitals), with<br />

help of the LEVEL keyword. If level=1, only the NAO transformation will be carried out. For<br />

level=2 the NBO transformation is performed, and for 3 the NLMO (default).<br />

Sometimes, the NBO procedure will not converge due to a bad ordering on the 2-center bond<br />

search. The first run is based on the Wiberg bond index, but the algorithm switches to the atom<br />

ordering on the subsequent runs. This can be avoided by the use of the option KEEP WBI. If<br />

wbi option=1, the Wiberg bond index is used in all iterations.

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