The initial guess for the wave function, either the H core or the Hückel guess, had
little impact on the smoothness (or lack thereof) on the PECs for ScO. The Hückel
guess for YO was able to determine a single state as the bond length was increased,
whereas the H core guess produced oscillations between two distinct states near
dissociation.
The ground state for ZrO is
3 A 1 (see Fig. 6) along with a degenerate
3 A 2 state,
yet at 2.6 Å, the lowest energy state is found to be
3 B 2 when the H core initial guess
is used. When using the Hückel guess, at 2.4 Å, the PEC jumps to a
3 B 1 state,
which is the direct product of A 1 and B 1 singly occupied orbitals. Then at 2.6 Å the
calculation settles to a
3 A 1 state. However, this A 1 state results from the direct
product of two B 1 orbitals instead of two A 1 orbitals, as with the ground state
around the minimum of the curve. This is a direct result of different d-orbital
Fig. 4 Points calculated for ScO at the ROHF level of theory, using both the H core and Hückel
initial guesses
Fig. 5 Points calculated for YO at the ROHF level of theory, using both the H core and Hückel
initial guesses
The Importance of Orbital Analysis
15
little impact on the smoothness (or lack thereof) on the PECs for ScO. The Hückel
guess for YO was able to determine a single state as the bond length was increased,
whereas the H core guess produced oscillations between two distinct states near
dissociation.
The ground state for ZrO is
3 A 1 (see Fig. 6) along with a degenerate
3 A 2 state,
yet at 2.6 Å, the lowest energy state is found to be
3 B 2 when the H core initial guess
is used. When using the Hückel guess, at 2.4 Å, the PEC jumps to a
3 B 1 state,
which is the direct product of A 1 and B 1 singly occupied orbitals. Then at 2.6 Å the
calculation settles to a
3 A 1 state. However, this A 1 state results from the direct
product of two B 1 orbitals instead of two A 1 orbitals, as with the ground state
around the minimum of the curve. This is a direct result of different d-orbital
Fig. 4 Points calculated for ScO at the ROHF level of theory, using both the H core and Hückel
initial guesses
Fig. 5 Points calculated for YO at the ROHF level of theory, using both the H core and Hückel
initial guesses
The Importance of Orbital Analysis
15
