The past decade has
witnessed an increasing interaction between experiment and theory in the
field of molecular spectroscopy. On the computational side, ongoing
developments of hardware and software have moved computational spectroscopy
from a highly specialized research area to a general tool for researchers
in different fields of chemical science. However, since its dawn,
computational spectroscopy has been characterized by the dichotomies
of qualitative and quantitative description, and of interpretation
and accuracy. Indeed, the analysis of experiments is seldom straightforward
because of the subtle interplay of several different effects, which
are not easy to evaluate and isolate, and/or the complexity of the
system under consideration. Often, the accuracy has to be set aside
for a more qualitative analysis that will provide the means for a
broad interpretation. In such a scenario, the most recent advances
in theoretical treatments as well as computational tools have opened
the way to the reconciliation of accuracy and interpretability, resulting
in unequivocal analyses and assignments of experimental spectra and
their unbiased interpretation. This Review aims at being a comprehensive,
authoritative, critical, and readable account of general interest
to the chemistry community because of the wealth of qualitative and
quantitative information that can be obtained from spectroscopic investigations.
Limiting ourselves to rotational and vibrational spectroscopy, emphasis
will be put on accuracy and interpretability as well as on the routes
toward their reconciliation and integration.