A Zener diode is a p-n junction device specifically operated in strong reverse bias so that it conducts in the breakdown region at a well-defined voltage. The specified Zener voltage is denoted by VZ and is given for a reference test current IZT. At that test point the diode exhibits a small-signal or dynamic impedance which depends on the device construction, the value of VZ and the level of Zener current.


Two physical mechanisms produce reverse breakdown in Zener diodes. For breakdown voltages below about 6 V the Zener effect (strong electric field causing field emission and band tunnelling) dominates. For breakdown voltages above roughly 6 V the avalanche effect (impact ionisation) is the principal mechanism. Many commercial diodes use a combination of both effects near 6 V.

The Zener diode is commonly used as a voltage reference or shunt regulator by connecting it in reverse across the load so that the load voltage is held close to VZ over a range of line or load variations. The diode has a temperature coefficient, αZ, which is typically negative for VZ below about 6 V and positive for higher voltages. The change in Zener voltage for a temperature change ΔT may be written
\[\Delta V_z = \alpha_Z \, V_z \, \Delta T\]
Because of its finite dynamic resistance (often written rz or RZ), the voltage across a Zener diode at a given current is not perfectly constant; a useful linear approximation is
\[V = V_z + I_z \, r_z\]
A simple Zener regulator uses a series resistor to limit current from a supply and a reverse-biased Zener diode as a shunt element across the load. When the diode is forward biased it behaves like a normal diode with a forward drop of approximately 0.7 V; when reverse biased beyond its Zener voltage it holds the voltage at about VZ while excess current flows through the diode.

The load line relationship for the circuit is
\[V_s = R_s I_s + V_z\]
To ensure the Zener diode operates in its breakdown region, the supply voltage Vs must be greater than VZ. The series resistor Rs limits the total current. For design and calculations the following relations are useful.
The series resistor required for a given supply voltage, Zener voltage, Zener current and load current is
\[R_s = \frac{V_s - V_z}{I_z + I_L}\]
The maximum Zener current allowed by power dissipation is
\[I_{Z(\text{max})} = \frac{P_{Z(\text{max})}}{V_z}\]
Because the Zener diode has an on-state resistance, increasing current produces additional voltage drop. If the operating point shifts from Q1 (with current I1) to Q2 (with current I2) the voltage change is
\[V_2 - V_1 = (I_2 - I_1) \, R_z\]
In differential form this is
\[\Delta V_z = \Delta I_z \, R_z\]
Zener diode as regulator
V-I Characteristics of Zener diode
Operating point in V-I Characteristics of Zener diodePractical design notes:
Modern solid-state emitters, detectors and related components that interact with light are known as optoelectronic devices or optoelectronics. These devices convert between electrical and optical energy and are widely used in sensing, communication, illumination and power generation.
Light absorption and emission in semiconductors depend strongly on the band structure. The probability of photon absorption and the strength of spontaneous emission are determined by whether the material has a direct or indirect bandgap.
In a direct bandgap semiconductor the conduction band minimum and valence band maximum occur at the same crystal momentum (same k). This allows electron-hole recombination without a phonon and therefore gives a large optical absorption coefficient and efficient light emission. Materials such as GaAs and GaAsP are examples used in LEDs and laser diodes.
In an indirect bandgap semiconductor the conduction band minimum and valence band maximum occur at different k values. Optical transitions therefore require a phonon to conserve momentum; the absorption coefficient is smaller and spontaneous emission is weak. Silicon and germanium are indirect (germanium is close to direct in some respects) and are rarely used as efficient light emitters, though they are widely used as detectors.
Photon absorption in a direct bandgap semiconductor
Indirect bandgap semiconductor assisted photon absorption
Indirect bandgap semiconductor assisted by photon emissionA junction photodetector (photodiode or photo-transistor) uses one or more p-n junctions biased in reverse. Photons incident near the depletion region generate electron-hole pairs; the built-in electric field separates these carriers and produces a photocurrent that adds to the reverse current. The device is often used as a fast light sensor or as a switching element in light-activated circuitry.
Symbol of Photo-diodeNote: Silicon and germanium photodetectors have peak spectral sensitivity in the infrared; their response in the visible region may be only about 40% of the infrared peak for a given device type.
Common variations of junction photodetectors:
Photovoltaic sensors (solar cells) are p-n junction devices that convert incident optical radiation into electrical energy. In open-circuit conditions they generate a voltage typically on the order of 0.5 V per junction for silicon devices; the short-circuit current is approximately proportional to illumination and can be used to measure light intensity directly. Many solar cells are connected in series and parallel to make panels for power generation.
Circuit diagram of photo voltaic cellWhen a photon with energy greater than the semiconductor bandgap is absorbed, an electron is excited into the conduction band leaving a hole in the valence band. These photogenerated carriers are separated by the junction field and produce a photocurrent that flows through an external load without an external bias.
A light emitting diode (LED) is a specially engineered p-n junction that emits light under forward bias by spontaneous radiative recombination. The emitted wavelength depends on the semiconductor alloy and bandgap: visible LEDs are commonly made from GaAsP and related III-V compounds, infrared LEDs from GaAs, and ultraviolet LEDs from wide bandgap compounds.
Basic Structure of light Emitting Diode (LED)LEDs are efficient, compact light sources used for indicators, displays, illumination and optical communication. When driven with very high current pulses and with appropriate device structure, some semiconductor junctions (typically GaAs or related alloys) can produce stimulated emission and operate as laser diodes. A common small-signal application is the seven-segment LED display which provides high brightness with milliwatts of input power per segment.
This chapter has described the operation, characteristics and applications of Zener diodes and simple Zener regulators, and has surveyed principal optoelectronic devices: photodiodes, photo-transistors, photovoltaic sensors (solar cells) and LEDs. Key practical points include correct selection of series resistance and power rating for Zener regulators, the distinction between direct and indirect bandgap materials for emitters and detectors, and the trade-offs among speed, sensitivity and cost for photodetector types.
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