A General Proof of the Ã\x9f Degradation Equation for Bulk Displacement Damage

A general proof, for the ß degradation equation in displacement producing radiation environments is presented. The proof is straightforward for the base component of damage. An extension of the proof encompasses damage in the base emitter field region to the extent it can be related to the emitter time constant. The derivation assumes a significant post-radiation common emitter current gain (ß > 3).