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38 QUASI-DIABATIZATION 277<br />

This calculation produces the following results:<br />

Diabatic energies for H2S, obtained from CI-vectors<br />

R E1 E2 H11CI H22CI H21CI<br />

2.50 -398.64296319 -398.63384782 -398.64296319 -398.63384782 0.000000<br />

2.55 -398.64572746 -398.63666636 -398.64509901 -398.63729481 -0.002302<br />

2.60 -398.64911752 -398.63771802 -398.64662578 -398.64020976 -0.004711<br />

Diabatic energies for H2S, obtained from CI-vectors and orbital correction<br />

R E1 E2 H11 H22 H21<br />

2.50 -398.64296319 -398.63384782 -398.64296319 -398.63384782 0.000000<br />

2.55 -398.64572746 -398.63666636 -398.64509941 -398.63729441 -0.002301<br />

2.60 -398.64911752 -398.63771802 -398.64662526 -398.64021027 -0.004711<br />

The results in the first table are obtained from the CI-contribution to the state-overlap matrix<br />

only, while the ones in the second table include a first-order correction for the orbitals. In this<br />

case, both results are almost identical, since the DIAB procedure has been used to minimize the<br />

change of the active orbitals. This is the recommended procedure. If simply natural orbitals<br />

are used without orbital diabatization, the following results are obtained from the otherwise<br />

unchanged calculation:<br />

Diabatic energies for H2S, obtained from CI-vectors<br />

R E1 E2 H11CI H22CI H21CI<br />

2.50 -398.64296319 -398.63384782 -398.64296319 -398.63384782 0.000000<br />

2.55 -398.64572742 -398.63666630 -398.64475612 -398.63763760 -0.002803<br />

2.60 -398.64911746 -398.63771803 -398.64521031 -398.64162518 -0.005410<br />

Diabatic energies for H2S, obtained from CI-vectors and orbital correction<br />

R E1 E2 H11 H22 H21<br />

2.50 -398.64296319 -398.63384782 -398.64296319 -398.63384782 0.000000<br />

2.55 -398.64572742 -398.63666630 -398.64509146 -398.63730226 -0.002314<br />

2.60 -398.64911746 -398.63771803 -398.64648358 -398.64035190 -0.004804<br />

It is seen that the mixing obtained from the CI vectors only is now very different and meaningless,<br />

since the orbitals change significantly as function of geometry. However, the second<br />

calculations, which accounts for this change approximately, still gives results in quite good<br />

agreement with the calculation involving diabatic orbitals.<br />

The final examples shows a more complicated input, which also computes the non-adiabatic<br />

coupling matrix elements. In a two-state model, the NACME should equal the first derivative<br />

of the mixing angle. In the example, the NACME is computed using the 3-point DDR method<br />

(NACMECI), and also by finite difference of the mixing angle (DCHI).

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