Web Release Date: January 14,
Reparametrizing MNDO for Excited-State Calculations by Using ab Initio Effective Hamiltonian Theory: Application to the 2,4-Pentadien-1-iminium Cation
Received: July 15, 1997 In Final Form: November 12, 1997 Abstract: The ab initio effective valence shell Hamiltonian
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) theory is employed to reparametrize the
standard
MNDO Hamiltonian for MNDO-
CI (configuration interaction)
excited-state calculations for the small,
protonated Schiff base 2,4-pentadien-1-iminium. The revised
parametrization, called
differs from
the ground-state parametrization via adjustment of the basic p-orbital
parameters: UC, UN,
C, GC,C,
GN,N.
The
C resonance integral is adjusted to remove all
electron-electron correlation from the MNDO one-electron, two-center Hu,v
-electron
integrals. Likewise, a small correction of 0.25 eV is appended to
both
UC and UN. The MNDO
ground-state GC,C and
GN,N
-electron one-center, two-electron
repulsion integrals
are increased in value by about 1.5 and 2 eV, respectively, to
reproduce the average of the ab initio
one-center, two-electron effective integrals. Subsequent
calculations reproduce the lowest-lying ab
initio
20 vertical excitation energies
to less than 0.2 eV on average (when full
CI is employed).
We
also estimate the size-consistency errors in previous ab initio MRSDCI
calculations for the planar and twisted
geometries to be as large as 0.2-0.3 eV. Thus, the MNDO-CI
method has the potential of achieving excellent
accuracy for similar molecules when properly parametrized.