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34 PROPERTIES AND EXPECTATION VALUES 258<br />

34.1.6 Examples<br />

The following example computes the dipole quadrupole moments of water and prints an orbital<br />

analysis. By default, the origin is at the centre of mass, and this is taken as origin for the<br />

quadrupole moments.<br />

***,h2o properties<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 />

hf<br />

!do scf calculation<br />

property<br />

!call property program<br />

orbital<br />

!read scf orbitals<br />

density<br />

!read scf density matrix<br />

dm<br />

!compute dipole moments and print orbital contributions<br />

qm<br />

!compute quadrupole moments and print orbital contributio<br />

{multi;state,2;dm<br />

!do full-valence CASSCF<br />

natorb,state=1.1 !compute natural orbitals for state 1.1<br />

natorb,state=2.1} !compute natural orbitals for state 2.1<br />

{property<br />

!call property program<br />

orbital,state=1.1 !read casscf natural orbitals for state 1.1<br />

density,state=1.1 !read casscf density matrix for state 1.1<br />

dm<br />

!compute dipole moments and print orbital contributions<br />

qm}<br />

!compute quadrupole moments and print orbital contributi<br />

{property<br />

!call property program<br />

orbital,state=2.1 !read casscf natural orbitals for state 2.1<br />

density,state=2.1 !read casscf density matrix for state 2.1<br />

dm<br />

!compute dipole moments and print orbital contributions<br />

qm}<br />

!compute quadrupole moments and print orbital contributio<br />

http://www.molpro.net/info/current/examples/h2o_property.com<br />

Alternatively, the dipole and quadrupole moments can be computed directly in the SCF and<br />

MCSCF programs, but in this case no orbital contributions are printed:<br />

***,h2o properties<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 />

gexpec,dm,qm<br />

!global request of dipole and quadrupole moments<br />

hf<br />

!do scf calculation<br />

{multi;state,2<br />

!do full-valence CASSCF<br />

natorb,state=1.1 !compute natural orbitals for state 1.1<br />

natorb,state=2.1} !compute natural orbitals for state 2.1<br />

http://www.molpro.net/info/current/examples/h2o_gexpec1.com<br />

34.2 Distributed multipole analysis<br />

Any density matrix can be analysed using the distributed multipole analysis described by Stone,<br />

Chem. Phys. Letters (1981), 83, 233. The multipole moments arising from the overlap of each<br />

pair of primitives are calculated with respect to the overlap centre, and then shifted to the nearest<br />

of a number of multipole sites. By default these comprise all atoms specified in the integral input.<br />

However the list of multipole sites can be modified by deleting and/or adding sites, and also by<br />

restricting the rank of multipole which may be transferred to any given site. The atomic charges

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