A new development is presented in the framework of the state-specific multi
reference (MR) coupled-cluster (CC) theory (MRCC). The method is based on t
he CASSCF (complete active space self-consistent field) wave function and i
t is designed specifically for calculating excited electronic states. In th
e proposed approach, the cluster structure of the CC wave operator and the
method to determine this operator are the key features. Since the general f
ormulation of the CASCC method is uncontracted, i.e., allows the interactio
n between the nondynamic and dynamic correlation effects to affect both the
CAS reference function and the CC correlation wave operator, the method is
expected to perform better than contracted perturbative approaches such as
the CASPT2 (second-order perturbation theory based on the CAS wave functio
n) method. Also, the CASCC method is not a perturbative approach and is not
based on selection of an unperturbed Hamiltonian, which in the case of the
CASPT2 method often leads to the "intruder state" problem. CASCC calculati
ons of the lowest totally symmetric excited state of the H-8 model system u
sing the internally contracted and uncontracted approaches reveal some inte
resting features of the methodology. (C) 2000 American Institute of Physics
. [S0021-9606(00)31723-8].