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34 PROPERTIES AND EXPECTATION VALUES 264<br />

***,H2O finite field calculations<br />

r=1.85,theta=104<br />

!set geometry parameters<br />

geometry={O;<br />

!z-matrix input<br />

H1,O,r;<br />

H2,O,r,H1,theta}<br />

basis=avtz<br />

!define default basis<br />

field=[0,0.005,-0.005]<br />

!define finite field strengths<br />

$method=[hf,mp4,ccsd(t),casscf,mrci]<br />

k=0<br />

do i=1,#field<br />

dip,,,field(i)<br />

do m=1,#method<br />

k=k+1<br />

$method(m)<br />

e(k)=energy<br />

enddo<br />

enddo<br />

!loop over fields<br />

!add finite field to H<br />

!loop over methods<br />

!calculate energy<br />

!save energy<br />

k=0<br />

n=#method<br />

do m=1,#method<br />

k=k+1<br />

energ(m)=e(k)<br />

dipmz(m)=(e(k+n)-e(k+2*n))/(field(2)-field(3)) !dipole moment as first energy derivative<br />

dpolz(m)=(e(k+n)+e(k+2*n)-2*e(k))/((field(2)-field(1))*(field(3)-field(1))) !polarizability<br />

enddo<br />

table,method,energ,dipmz,dpolz<br />

title,results for H2O, r=$R, theta=$theta, basis=$basis<br />

---<br />

http://www.molpro.net/info/current/examples/h2o_field.com<br />

34.6 Relativistic corrections<br />

Relativistic corrections may be calculated within the Cowan-Griffin approach by computing expectation<br />

values of the mass-velocity and 1-electron Darwin integrals; these should be generated<br />

using the property integral program with keyword REL The expectation values can be computed<br />

within the SCF, MCSCF and CI programs in the usual way using the EXPECT command, again<br />

with the keyword REL. The mass-velocity and Darwin terms, and their sum are subsequently<br />

available through the <strong>MOLPRO</strong> variables MASSV, DARW and EREL respectively.

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