The characteristics of the CH stretching
and out-of-plane bending
modes in polycyclic aromatic hydrocarbon molecules are investigated
using anharmonic density functional theory (DFT) coupled to a vibrational
second-order perturbation treatment taking resonance effects into
account. The results are used to calculate the infrared emission spectrum
of vibrationally excited species in the collision-less environment
of interstellar space. This model follows the energy cascade as the
molecules relax after the absorption of a UV photon in order to calculate
the detailed profiles of the infrared bands. The results are validated
against elegant laboratory spectra of polycyclic aromatic hydrocarbon
absorption and emission spectra obtained in molecular beams. The factors
which influence the peak position, spectral detail, and relative strength
of the CH stretching and out-of-plane bending modes are investigated,
and detailed profiles for these modes are derived. These are compared
to observations of astronomical objects in space, and the implications
for our understanding of the characteristics of the molecular inventory
of space are assessed.