Radicals are produced when a covalent bond undergoes homolytic fission: the bonding electron pair splits equally, so each atom receives one electron. Ultraviolet (UV) light can supply the energy required to break the bond.
How Homolytic Fission Produces Radicals
A covalent bond contains a shared pair of electrons. When a molecule absorbs a UV photon, the photon may provide enough energy to break that bond symmetrically.
For example, chlorine undergoes photochemical homolysis:
