The merged-beams technique is powerful for the experimental study of certai
n classes of atomic and molecular processes that cannot be as readily or ac
curately addressed by other methods. The principal advantages of the techni
que are the ability to make quantitative studies of collisional interaction
s with high resolution at low relative energies, to collect products that h
ave undergone appreciable angular scattering, and to investigate processes
involving short-lived or chemically-reactive species. Despite continuing ad
vances in ion-source and particle-beam technologies, merged-beams experimen
ts remain a challenge, constituting a relatively small but growing fraction
of the worldwide effort in atomic and molecular collisions research. This
review outlines the fundamental principles of the merged-beams method, revi
ews techniques and progress, and focuses on three active programs to highli
ght the advantages of the method for addressing fundamental questions in at
omic and molecular physics.