# 7.11 Correlated Excited State Methods: The ADC($n$) Family

The ADC($n$) family of correlated excited state methods is a series of size-extensive excited state methods based on perturbation theory. Each order $n$ of ADC presents the excited state equivalent to the well-known $n$th order Møller-Plesset perturbation theory for the ground state. Currently, the ADC variants ADC(0), ADC(1), ADC(2)-s, ADC(2)-x and ADC(3) are implemented in Q-Chem.1066, 348 The “resolution-of-the-identity” approximation can be used with any ADC variant. Additionally, there are spin-opposite scaling versions of both ADC(2) variants available.503, 1066 Core-excited states for the simulation of X-ray absorption spectra can be computed exploiting the core-valence separation (CVS) approximation. Currently, the CVS-ADC(1), CVS-ADC(2)-s, CVS-ADC(2)-x and CVS-ADC(3) methods are available.1066, 1028, 1029, 1027