The equations for the second-order approximate coupled cluster singles and doubles model (CC2)
Chem. Phys. Lett.
(1995), 243, pp. 409. are similar to the CCSD equations with the doubles amplitude equations approximated as:
where the similarity-transformed Hamiltonian with the exponential function of the single excitation cluster operator is given by:
CC2 energies are available in Q-Chem, and are requested by setting the keyword METHOD to CC2. Closed and open-shell references (RHF/UHF/ROHF) are available, as well as the frozen core option. The RI approximation (RI-CC2) can be applied by specifying an auxiliary basis set.
Another implementation of CC2 is available in libgmbpt.
J. Chem. Phys.
(2000), 113, pp. 5154. A partitioned form of the CC2 equations is employed which eliminates the need to store double amplitudes. The resolution of the identity (RI) approximation for two-electron integrals can also be invoked to reduce the CPU time needed for calculation and I/O of these integrals.
This implementation can be invoked in Q-Chem using the keyword METHOD CC2 and setting CCMAN2=-1. As of the moment, this implementation is not yet optimized.