Multichannel atomic spectra frequently exhibit such extraordinary visu
al complexity that they appear at first glance to be uninterpretable.
The present review discusses how to unravel such spectra through the u
se of theoretical multichannel spectroscopy to extract the key dynamic
al implications. Moreover, this class of techniques permits a quantita
tive prediction or reproduction of experimental spectra for some of th
e more challenging atomic systems under investigation. It is shown tha
t multichannel spectroscopy marries the techniques of multichannel qua
ntum-defect theory to the eigenchannel R-matrix method (or related met
hods). It has long been appreciated that multichannel quantum-defect t
heory can successfully use a collision-theory framework to interpret e
normously complicated Rydberg spectra. However, the capabilities of mu
ltichannel quantum-defect theory have increased dramatically during th
e past decade, through the development of nearly ab initio methods for
the calculation of the short-range scattering parameters that control
the interactions of closed and open channels. In this review, emphasi
s is given to the alkaline-earth atoms, for which many different obser
vables have been successfully compared with experiment over broad rang
es of energy and resolution. Applications of the method to describe th
e photoionization spectra of more complex open-shell atoms are also di
scussed.