Role of surface crossing
In the undergraduate program, you are taught that a chemical reaction is a process that transforms reactants to products via a transition state. For simple reactions, this is a good picture. Life is a lot more complicated than that! How does an excited state decay? How does the spin of electron get flipped during reaction to get diradicals? These are the questions we can not answer from the conventional single potential energy surface picture.
Photochemistry has full of these examples. One of such reactions we are interested in is called spin-forbidden reaction. The reaction starts out having all electrons paired (singlet state). During the reaction, one of the electrons flips its spin to become a diradical state (triplet state). We need to consider both the singlet and triplet potential energy surfaces. The most important feature common to both potentials is the lowest energy crossing point between the two states.
By investigating the minimum energy crossing point, we can learn about what geometry of the molecule the spin is likely to flip as well as probability of the event can be calculated.