In a direct band gap semiconductor, the thermal agitation breaks the bonds between neighboring atoms creating electron-hole (e-h) pairs. This thermally generated process of creating carriers is represented by the rate (usually expressed as the number of e-h pairs generated per cm3 per sec).
Fig 4.3 : Direct recombination in direct gap semiconductor.
When an electron makes transition downward from the conduction band to the valence band, an e-h pair gets annihilated and this reverse process is called recombination, represented by the recombination rate . In thermal equilibrium,
, and the condition remains valid.