Conspectus
The availability of new light sources combined with the realization
of the unique capabilities of spectroscopy in the X-ray region has
driven tremendous advances in the field of X-ray spectroscopy. Currently,
these techniques are emerging as powerful analytical tools for the
study of a wide range of problems encompassing liquids, materials,
and biological systems. Time-resolved measurements add a further dimension
to X-ray spectroscopy, opening up the potential to resolve ultrafast
chemical processes at an atomic level. X-ray spectroscopy encompasses
a range of techniques which provide complementary information, and
these include X-ray photoelectron spectroscopy (XPS), X-ray absorption
spectroscopy (XAS), X-ray emission spectroscopy (XES), and resonant
inelastic X-ray scattering (RIXS). In many studies, the interpretation
of the experimental data relies upon calculations to enable the nature
of the underlying molecular structure, electronic structure, and bonding
to be revealed. Density functional theory (DFT) based methods are
some of the most widely used methods for the simulation of X-ray spectra.
In this Account, we focus on our recent contributions to the simulation
of a range of X-ray spectroscopic techniques using DFT and linear-response
time-dependent density functional theory (TDDFT) and show how these
methods can provide a computational toolkit for the simulation of
X-ray spectroscopy. The importance of the exchange-correlation functional
for the calculation of XAS is discussed, and the introduction of short-range
corrected functionals is described. The application of these calculations
to study large systems through the use of efficient implementations
of TDDFT will be highlighted, with the use of these methods illustrated
through studies of ionic liquids and transition metal complexes. The
extension of TDDFT to calculate XES through the use of a reference
determinant for the core-ionized state will be described, and the
factors that affect the accuracy of the computed spectra discussed.
The application of these approaches will be illustrated through the
study of a range of organic molecules and transition metal complexes,
which also show how going beyond the dipole approximation in determining
the transition intensities can be critical. The application of these
approaches to the simulation of the RIXS spectrum of water will also
be described, highlighting how ultrafast dynamics on the femtoscale
time scale are evident in the measured spectra. In these calculations,
the description of the core-ionized and core-excited states becomes
increasingly important, and the role of the basis set in accurately
describing these states will be explored.