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Size extensivity of EOM-CC often causes confusion. For the two noninteracting fragments A and B, there are three different types of the EOM target states: (i) The EOM excited states of A and B being in the ground state; (ii) the EOM states of B and A is in the ground state; and (iii) simultaneous excitations on A and B. Whereas the EOM excitation energies of states (i) and (ii) are exactly the same as the EOM excitation energies of the individual fragments, the excitation energies of (iii) are not the sum of the corresponding excitation energies of A and B. Thus, only the energies of states from (i) and (ii) are size extensive, provided that the reference wave function is size extensive as well. For example, the EOM-EE-CCSD total energies of the lowest excited states of Be and Ne, which are 100 Å apart, are equal to the EOM total energies of the corresponding Be state plus the CCSD energy of Ne. However, excitation energies of the states in which both Be and Ne are excited (i.e., doubly excited states of the combined system) are not the sum of the respective EOM-EE energies of the monomers and are, therefore, not size extensive. Thus, size extensivity of EOM is weaker than that of CC (e.g., the total CCSD energy of Be-Ne is the sum of the CCSD energies of the atoms), but stronger that that of the truncated CI (e.g., CISD excited states of Be are affected by the Ne atom 100 Å away). To emphasize this difference, the term size intensivity is commonly employed. The important point is that the quality of the EOM treatment does not degrade with the molecular size, provided that the excited states are localized on chromophore groups, as, for example, in the CH2 O→ CH3 CHO→ CH3 (CH2) n CHO series. Moreover, EOM-EE describes well those electronic states of bichromophores (or polychromophers), which are linear combinations of single excitations of the chromophores, e.g., excimer states in the benzene dimer or ionized states in the benzene dimer cation. See also discussion in Ref..
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See EPAPS Document No. E-JCPSA6-129-001843 for the molecular structures and total energies. For more information on EPAPS, see.
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See EPAPS Document No. E-JCPSA6-129-001843 for the molecular structures and total energies. For more information on EPAPS, see http://www.aip.org/ pubservs/epaps.html.
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