The equilibrium state-relaxed procedure starts from gas-phase RAS-SF calculation to obtain an initial wave function |Ψ k for the excited state of interest, from which Rk can be constructed. This procedure bypasses the ground-state SCRF procedure (although the groundstate SCRF problem needs to be solved in advance, to obtain E 0 ), instead proceeding directly to the state-specific eigenvalue problem for E k , Eq. ( ). Solution of this equation requires SCRF iterations in the excited state, because each time the RAS-SF Hamiltonian is diagonalized to obtain |Ψ k , the operator Rk must be modified to reflect how the new excited-state charge density polarizes the medium. This process is iterated to convergence and then E eq k is obtained from Eq. ( ). The proper state energy, however, is G eq k [Eq. ( )], and the excitation energy for state k is given in Eq. ( ). The SCRF procedure must be repeated for every state of interest.