I would like to know if it is possible to perform a calculation using Constrained DFT-CI including localized excited states. I am thinking of two interacting monomers (M) forming a dimer structure and I would like to have a CI scheme like this:
thank you very much for your reply. Forgive me because I have not understood correctly the example you kindly give me. I assume those triplet states that are involved in the water system represent the localized excited states. If I am right, it would be almost impossible to include localized excited states with pi* character because it is not a straightforward manner to constraint the electron (spin) in a particular region of the molecule.
Oh, I see what you mean, I missed the localized excited state part. CDFT is not able to form localized excited states directly because it only deals with charge / spin localization. So unless the localized excited state is dominated by charge or spin separation, CDFT will probably not be helpful.
You might look into the ab initio Frenkel-Davydov exciton model (AIFDEM). Here, you form direct-product basis states and then perform a nonorthogonal CI in that basis. For a dimer, that might mean matrix elements like <S0 S1 | H | S1 S0>, where either molecule #1 is excited (in the ket) or #2 is excited (in the bra). For AIFDEM, you don’t generate these monomer with constrained DFT but rather via standard monomer-based CIS or TDDFT, and you can include S2, S3, … for additional variational flexibility. There is also an option for ionized basis states |CA> (C=cation, A=anion). This is in the manual, recent example here: https://pubs.acs.org/doi/10.1021/acs.jpcc.0c07932