Note
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ROOT¶
Target an excited state in a configuration interaction calculation. This keyword can be combined with MS to target a state based on spin, energy, and optionally symmetry.
SYNTAX: ROOT=n
Target the \(n\), which corresponds to the lowest energy state.
When combined with the MS
keyword, only the specified spin states are considered in this selection process.
For example, ROOT=2
targets the first excited state.
When combined with MS=1
, it targets the triplet state with the second lowest energy among all triplet states.
SYNTAX: ROOT=symbol
Target an eigenstate corresponding to a combined quantum number and symmetry label, symbol
.
symbol
is a string concatenating quantum numbers (Q.N.
) and symmetry labels as printed by MOPAC.
When multiple spin states have the same quantum number and symmetry label, the lowest-energy spin state will be targeted.
Again, the MS
keyword can be used to target a specific spin state.
For example, ROOT=2T2g
targets the second-lowest energy state having T2g symmetry.
When combined with MS=1
, it targets the second-lowest energy that is both a triplet state and has T2g symmetry.
Note
For symmetries that induce energy degeneracies, the subspace of energy-degenerate eigenstates are counted and printed
by MOPAC as a single state. State labels are skipped to account for and denote this degeneracy.
Thus, ROOT=n
may not target the state labeled by n
if there are any degenerate subspaces of lower energy.
When a degenerate subspace of states is targeted, the reference state becomes a statistical superposition over the degenerate states so that geometry optimization is able to preserve symmetries. To target a specific state in a degenerate subspace so as to break symmetry in the geometry optimization (i.e. Jahn-Teller distortion), the NOSYM keyword should be used to suppress the detection and use of point-group symmetry.