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 whats a diode gap? 
 Do you talk about the band gap?
It is basically the energy that is required for a to metalliod to be conductive (measured in electron volt eV).
It is dependent to the direction of the current. In a diode it the band gap is high in one direction but low in the other one. So the band gap is a energy gap. 
 Be aware that is not a really proper description.