It
has been generally accepted that the intersection of potential
energy surfaces can facilitate nonadiabatic transitions and plays
a crucial role in photochemistry. Although most previous studies have
focused on the conical intersection of two electronic states, multistate
intersections are common in polyatomic molecules, and their key roles
in photochemistry have been uncovered by electronic structure calculations
and nonadiabatic dynamics simulations. In this Perspective, the algorithms
for searching two- or three-state intersections are first examined
with an emphasis on the latest development in a general algorithm
for location of multistate intersections. Then, we focus on intersystem
crossing (ISC) that occurs in the region of multistate intersection,
paying more attention to how the state-specific spin–orbit
coupling interaction influences nonadiabatic ISC processes. Finally,
the interweaving of nonadiabatic dynamics simulation and electronic
structure calculation has been recognized as a correct way to ascertain
the vital roles of multistate intersections in photochemical reactions.