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The Shockley diode equation, or the diode law, named after transistor co-inventor William Shockley of Bell Labs, models the exponential current–voltage (I–V) relationship of semiconductor diodes in moderate constant current forward bias or reverse bias:
The Shockley diode equation relates the diode current of a p-n junction diode to the diode voltage .This relationship is the diode I-V characteristic: = (), where is the saturation current or scale current of the diode (the magnitude of the current that flows for negative in excess of a few , typically 10 −12 A).
The Shockley ideal diode equation or the diode law (named after the bipolar junction transistor co-inventor William Bradford Shockley) models the exponential current–voltage (I–V) relationship of diodes in moderate forward or reverse bias. The article Shockley diode equation provides details.
It is a PNPN diode with alternating layers of P-type and N-type material. It is equivalent to a thyristor with a disconnected gate. Shockley diodes were manufactured and marketed by Shockley Semiconductor Laboratory in the late 1950s. The Shockley diode has a negative resistance characteristic. [1] It was largely superseded by the diac.
The ideality factor (also called the emissivity factor) is a fitting parameter that describes how closely the diode's behavior matches that predicted by theory, which assumes the p–n junction of the diode is an infinite plane and no recombination occurs within the space-charge region. A perfect match to theory is indicated when n = 1.
Determine the base voltage V BE1 using the Shockley diode law = = . where I S is a device parameter sometimes called the scale current. The value of base voltage also sets the compliance voltage V A = V BE1. This voltage is the lowest voltage for which the mirror works properly.
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But real diodes are better approximated by the Shockley diode equation, which has an more complicated exponential current–voltage relationship called the diode law. Designers must rely on a diode's specification sheet, which primarily provides a maximum forward voltage drop at one or more forward currents, a reverse leakage current (or ...