We
report the development and benchmark of multireference algebraic
diagrammatic construction theory (MR-ADC) for the simulations of core-excited
states and X-ray absorption spectra (XAS). Our work features an implementation
that incorporates core-valence separation into the strict and extended
second-order MR-ADC approximations (MR-ADC(2) and MR-ADC(2)-X), providing
efficient access to high-energy excited states without including inner-shell
orbitals in the active space. Benchmark results on a set of small
molecules indicate that at equilibrium geometries, the accuracy of
MR-ADC is similar to that of single-reference ADC theory when static
correlation effects are not important. In this case, MR-ADC(2)-X performs
similarly to single- and multireference coupled cluster methods in
reproducing the experimental XAS peak spacings. We demonstrate the
potential of MR-ADC for chemical systems with multiconfigurational
electronic structure by calculating the K-edge XAS spectrum of the
ozone molecule with a multireference character in its ground electronic
state and the dissociation curve of core-excited molecular nitrogen.
For ozone, the MR-ADC results agree well with the data from experimental
and previous multireference studies of ozone XAS, in contrast to the
results of single-reference methods, which underestimate relative
peak energies and intensities. The MR-ADC methods also predict the
correct shape of the core-excited nitrogen potential energy curve,
and are in good agreement with accurate calculations using driven
similarity renormalization group approaches. These findings suggest
that MR-ADC(2) and MR-ADC(2)-X are promising methods for the XAS simulations
of multireference systems and pave the way for their efficient computer
implementation and applications.