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7.10 Coupled-Cluster Excited-State and Open-Shell Methods

7.10.17 Using projectors for computing high-lying EOM-CC states

(December 11, 2025)

Q-Chem offers a simple projection technique for computing high-lying EOM-CCSD states, such as excited or ionized states dominated by electron removal from inner-valence orbitals.

This technique provides a more robust alternative to the overlap-based algorithms described in Section 7.10.16 as it allows to target multiple states of the given class in a single calculation, and by applying a projector at every iteration it guarantees convergence towards stable solutions.

This feature is controlled by the keywords EOM_EE_IV_PROJ and EOM_IP_IV_PROJ, which activate a projector that is applied at each iteration of the Davidson solver. The inner-valence projector is constructed by including the specified number of lowest-lying active occupied orbitals. Frozen orbitals, if present, are excluded from this count.

The applied projector enforces convergence toward states in which at least one electron is removed from the inner-valence subspace defined by the selected orbitals. This enables stable convergence to excited or ionized states associated with deeper-lying orbitals. The inner-valence subspace is defined automatically based on orbital energies. In contrast to the overlap-based Davidson algorithm, no user-specified initial guess is needed. This feature may also be viewed as an alternative to CVS-type calculations 264 Coriani S., Koch H.
J. Chem. Phys.
(2015), 143, pp. 181103.
Link
of core-hole states without requiring to freeze core orbitals.

Examples 7.10.19 and 7.10.19 illustrate this feature.