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Bipolar junction transistor

From Wikipedia, the free encyclopedia
(Redirected fromJunction transistor)
Transistor that uses both electrons and holes as charge carriers
"BJT" and "Junction transistor" redirect here. For other uses, seeBJT (disambiguation) andJunction transistor (disambiguation).

Bipolar junction transistor
Typical individual BJT packages. From left to right:SOT-23,TO-92,TO-126,TO-3
Component typeActive
InventorWilliam Shockley
Invention year1948
Pin namesBase, collector, and emitter
Electronic symbol
box with 3 wires, one with big and silicon chip - others connect to chip with wires
3D model of a TO-92 package, commonly used for small bipolar transistors

Abipolar junction transistor (BJT) is a type oftransistor that uses bothelectrons andelectron holes ascharge carriers. In contrast, a unipolar transistor, such as afield-effect transistor (FET), uses only one kind of charge carrier. A bipolar transistor allows a smallcurrent injected at one of itsterminals to control a much larger current between the remaining two terminals, making the device capable ofamplification orswitching.

BJTs use twop–n junctions between twosemiconductor types, n-type and p-type, which are regions in a singlecrystal of material. The junctions can be made in several different ways, such as changing thedoping of the semiconductor material as it is grown, by depositing metal pellets to form alloy junctions, or by such methods as diffusion of n-type and p-type doping substances into the crystal. The superior predictability and performance of junction transistors quickly displaced the originalpoint-contact transistor. Diffused transistors, along with other components, are elements ofintegrated circuits for analog and digital functions. Hundreds of bipolar junction transistors can be made in one circuit at a very low cost.

Bipolar transistor integrated circuits were the main active devices of a generation ofmainframe andminicomputers, but most computer systems now use complementary metal–oxide–semiconductor (CMOS) integrated circuits relying on the field-effect transistor (FET). Bipolar transistors are still used for amplification of signals, switching, and inmixed-signal integrated circuits usingBiCMOS. Specialized types are used for high voltage and high current switches, or forradio-frequency (RF) amplifiers.

Current direction conventions

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By convention, the direction of current on diagrams is shown as the direction that a positive charge would move. This is calledconventional current. However, in actuality, current inmetal conductors is[a] due to the flow of electrons. Because electrons carry a negative charge, they move in the direction opposite to conventional current. On the other hand, inside a bipolar transistor, currents can be composed of both positively charged holes and negatively charged electrons. In this article, current arrows are shown in the conventional direction, but labels for the movement of holes and electrons show their actual direction inside the transistor.

Arrow direction

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The arrow on the symbol for bipolar transistors indicates the p–n junction between base and emitter and points in the direction in whichconventional current travels.

Function

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This sectionmay be too technical for most readers to understand. Pleasehelp improve it tomake it understandable to non-experts, without removing the technical details.(July 2012) (Learn how and when to remove this message)

BJTs exist as PNP and NPN types, based on the doping types of the three main terminal regions. An NPN transistor comprises two semiconductor junctions that share a thin p-doped region, and a PNP transistor comprises two semiconductor junctions that share a thin n-doped region. N-type means doped withimpurities (such asphosphorus orarsenic) that provide mobile electrons, while p-type means doped with impurities (such asboron) that provide holes that readily accept electrons.

NPN BJT with forward-biased B–E junction and reverse-biased B–C junction

Charge flow in a BJT is due todiffusion ofcharge carriers (electrons and holes) across a junction between two regions of different charge carrier concentration. The regions of a BJT are calledemitter,base, andcollector.[b] A discrete transistor has threeleads for connection to these regions. Typically, the emitter region is heavily doped compared to the other two layers, and the collector is doped more lightly (typically ten times lighter[2]) than the base. By design, most of the BJT collector current is due to the flow of charge carriers injected from a heavily doped emitter into the base where they areminority carriers (electrons in NPNs, holes in PNPs) that diffuse toward the collector, so BJTs are classified asminority-carrier devices.

In typical operation, the base–emitter junction isforward biased, which means that the p-doped side of the junction is at a more positive potential than the n-doped side, and the base–collector junction isreverse biased. When forward bias is applied to the base–emitter junction, the equilibrium between the thermally generated carriers and the repelling electric field of the emitterdepletion region is disturbed. This allows thermally excited carriers (electrons in NPNs, holes in PNPs) to inject from the emitter into the base region. These carriers create adiffusion current through the base from the region of high concentration near the emitter toward the region of low concentration near the collector.

To minimize the fraction of carriers thatrecombine before reaching the collector–base junction, the transistor's base region must be thin enough that carriers can diffuse across it in much less time than the semiconductor's minority-carrier lifetime. Having a lightly doped base ensures recombination rates are low. In particular, the thickness of the base must be much less than thediffusion length of the carriers. The collector–base junction is reverse-biased, and so negligible carrier injection occurs from the collector to the base, but carriers that are injected into the base from the emitter, and diffuse to reach the collector–base depletion region, are swept into the collector by the electric field in the depletion region. The thinshared base and asymmetric collector–emitter doping are what differentiates a bipolar transistor from twoseparate diodes connected in series.

Voltage, current, and charge control

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The collector–emitter current can be viewed as being controlled by the base–emitter current (current control), or by the base–emitter voltage (voltage control). These views are related by the current–voltage relation of the base–emitter junction, which is the usual exponential current–voltage curve of a p–n junction (diode).[3]

The explanation for collector current is the concentration gradient of minority carriers in the base region.[3][4][5] Due tolow-level injection (in which there are many fewer excess carriers than normal majority carriers) theambipolar transport rates (in which the excess majority and minority carriers flow at the same rate) is in effect determined by the excess minority carriers.

Detailedtransistor models of transistor action, such as theGummel–Poon model, account for the distribution of this charge explicitly to explain transistor behavior more exactly.[6] The charge-control view easily handlesphototransistors, where minority carriers in the base region are created by the absorption ofphotons, and handles the dynamics of turn-off, or recovery time, which depends on charge in the base region recombining. However, because base charge is not a signal that is visible at the terminals, the current- and voltage-control views are generally used in circuit design and analysis.

Inanalog circuit design, the current-control view is sometimes used because it is approximately linear. That is, the collector current is approximatelyβF{\displaystyle \beta _{\text{F}}} times the base current. Some basic circuits can be designed by assuming that the base–emitter voltage is approximately constant and that collector current is β times the base current. However, to accurately and reliably design production BJT circuits, the voltage-control model (e.g. theEbers–Moll model) is required.[3] The voltage-control model requires an exponential function to be taken into account, but when it is linearized such that the transistor can be modeled as a transconductance, as in the Ebers–Moll model, design for circuits such as differential amplifiers again becomes a mostly linear problem, so the voltage-control view is often preferred. Fortranslinear circuits, in which the exponential I–V curve is key to the operation, the transistors are usually modeled as voltage-controlled current sources whosetransconductance is proportional to their collector current. In general, transistor-level circuit analysis is performed usingSPICE or a comparable analog-circuit simulator, so mathematical model complexity is usually not of much concern to the designer, but a simplified view of the characteristics allows designs to be created following a logical process.

Turn-on, turn-off, and storage delay

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Main article:Baker clamp

Bipolar transistors, and particularly power transistors, have long base-storage times when they are driven into saturation; the base storage limits turn-off time in switching applications. ABaker clamp can prevent the transistor from heavily saturating, which reduces the amount of charge stored in the base and thus improves switching time.

Transistor characteristics: alpha (α) and beta (β)

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The proportion of carriers able to cross the base and reach the collector is a measure of the BJT efficiency. The heavy doping of the emitter region and light doping of the base region causes many more electrons to be injected from the emitter into the base than holes to be injected from the base into the emitter. A thin and lightly doped base region means that most of the minority carriers that are injected into the base will diffuse to the collector and not recombine.

Common-emitter current gain

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Thecommon-emitter current gain is represented byβF or theh-parameterhFE; it is approximately the ratio of the collector's direct current to the base's direct current in forward-active region. (The F subscript is used to indicate the forward-active mode of operation.) It is typically greater than 50 for small-signal transistors, but can be smaller in transistors designed for high-power applications. Both injection efficiency and recombination in the base reduce the BJT gain.

Common-base current gain

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Another useful characteristic is thecommon-base current gain,αF. The common-base current gain is approximately the gain of current from emitter to collector in the forward-active region. This ratio usually has a value close to unity; between 0.980 and 0.998. It is less than unity due to recombination of charge carriers as they cross the base region.

Alpha and beta are related by the following identities:

αF=ICIE,βF=ICIB,αF=βF1+βFβF=αF1αF.{\displaystyle {\begin{aligned}\alpha _{\text{F}}&={\frac {I_{\text{C}}}{I_{\text{E}}}},&\beta _{\text{F}}&={\frac {I_{\text{C}}}{I_{\text{B}}}},\\\alpha _{\text{F}}&={\frac {\beta _{\text{F}}}{1+\beta _{\text{F}}}}&\iff \beta _{\text{F}}&={\frac {\alpha _{\text{F}}}{1-\alpha _{\text{F}}}}.\end{aligned}}}

Beta is a convenient figure of merit to describe the performance of a bipolar transistor, but is not a fundamental physical property of the device. Bipolar transistors can be considered voltage-controlled devices (fundamentally the collector current is controlled by the base–emitter voltage; the base current could be considered a defect and is controlled by the characteristics of the base–emitter junction and recombination in the base). In many designs beta is assumed high enough so that base current has a negligible effect on the circuit. In some circuits (generally switching circuits), sufficient base current is supplied so that even the lowest beta value a particular device may have will still allow the required collector current to flow.

Structure

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Simplified cross section of a planarNPN bipolar junction transistor

BJTs consists of three differently doped semiconductor regions: theemitter region, thebase region and thecollector region. These regions are, respectively,p type,n type andp type in a PNP transistor, andn type,p type andn type in an NPN transistor. Each semiconductor region is connected to a terminal, appropriately labeled:emitter (E),base (B) andcollector (C).

Thebase is physically located between theemitter and thecollector and is made from lightly doped, high-resistivity material. The collector surrounds the emitter region, making it almost impossible for the electrons injected into the base region to escape without being collected, thus making the resulting value of α very close to unity, and so, giving the transistor a large β. A cross-section view of a BJT indicates that the collector–base junction has a much larger area than the emitter–base junction.

The bipolar junction transistor, unlike other transistors, is usually not a symmetrical device. This means that interchanging the collector and the emitter makes the transistor leave the forward active mode and start to operate in reverse mode. Because the transistor's internal structure is usually optimized for forward-mode operation, interchanging the collector and the emitter makes the values of α and β in reverse operation much smaller than those in forward operation; often the α of the reverse mode is lower than 0.5. The lack of symmetry is primarily due to the doping ratios of the emitter and the collector. The emitter is heavily doped, while the collector is lightly doped, allowing a large reverse bias voltage to be applied before the collector–base junction breaks down. The collector–base junction is reverse biased in normal operation. The reason the emitter is heavily doped is to increase the emitter injection efficiency: the ratio of carriers injected by the emitter to those injected by the base. For high current gain, most of the carriers injected into the emitter–base junction must come from the emitter.

Die of a 2N2222 NPN transistor: the NPN materials are made in layers with the collector at the bottom. Bond wires connect metalization on the base to the left lead, and emitter to the right. The collector is connected to the can with a third external lead..

The low-performance "lateral" bipolar transistors sometimes used in bipolar and MOS integrated circuits are sometimes designed symmetrically, that is, with no difference between forward and backward operation.

Small changes in the voltage applied across the base–emitter terminals cause the current between theemitter and thecollector to change significantly. This effect can be used to amplify the input voltage or current. BJTs can be thought of as voltage-controlledcurrent sources, but are more simply characterized as current-controlled current sources, or current amplifiers, due to the low impedance at the base.

Early transistors were made fromgermanium but most modern BJTs are made fromsilicon. A significant minority are also now made fromgallium arsenide, especially for very high speed applications (see HBT, below).

Theheterojunction bipolar transistor (HBT) is an improvement of the BJT that can handle signals of very high frequencies up to several hundredGHz. It is common in modern ultrafast circuits, mostly RF systems.[7][8]

Symbol for NPN bipolar transistor with current flow direction

Two commonly used HBTs are silicon–germanium and aluminum gallium arsenide, though a wide variety of semiconductors may be used for the HBT structure. HBT structures are usually grown byepitaxy techniques likeMOCVD andMBE.

Regions of operation

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Junction
type
Applied
voltages
Junction biasMode
B–EB–C
NPNE < B < CForwardReverseForward-active
E < B > CForwardForwardSaturation
E > B < CReverseReverseCut-off
E > B > CReverseForwardReverse-active
PNPE < B < CReverseForwardReverse-active
E < B > CReverseReverseCut-off
E > B < CForwardForwardSaturation
E > B > CForwardReverseForward-active

Bipolar transistors have four distinct regions of operation, defined by BJT junction biases:[9][10]

Forward-active (or simplyactive)
The base–emitter junction is forward biased and the base–collector junction is reverse biased. Most bipolar transistors are designed to afford the greatest common-emitter current gain, βF, in forward-active mode. If this is the case, the collector–emitter current is approximatelyproportional to the base current, but many times larger, for small base current variations.
Reverse-active (orinverse-active orinverted)
By reversing the biasing conditions of the forward-active region, a bipolar transistor goes into reverse-active mode. In this mode, the emitter and collector regions switch roles. Because most BJTs are designed to maximize current gain in forward-active mode, the βF in inverted mode is several times smaller (2–3 times for the ordinary germanium transistor). This transistor mode is seldom used, usually being considered only for failsafe conditions and some types ofbipolar logic. The reverse bias breakdown voltage to the base may be an order of magnitude lower in this region.
Saturation
With both junctions forward biased, a BJT is in saturation mode and facilitates high current conduction from the emitter to the collector (or the other direction in the case of NPN, with negatively charged carriers flowing from emitter to collector). This mode corresponds to a logical "on", or a closed switch.
Cut-off
In cut-off, biasing conditions opposite of saturation (both junctions reverse biased) are present. There is very little current, which corresponds to a logical "off", or an open switch.
Input characteristics
Output characteristics
Input and output characteristics for a common-base silicon transistor amplifier.

Although these regions are well defined for sufficiently large applied voltage, they overlap somewhat for small (less than a few hundred millivolts) biases. For example, in the typical grounded-emitter configuration of an NPN BJT used as a pulldown switch in digital logic, the "off" state never involves a reverse-biased junction because the base voltage never goes below ground; nevertheless the forward bias is close enough to zero that essentially no current flows, so this end of the forward active region can be regarded as the cutoff region.

Active-mode transistors in circuits

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Structure and use of NPN transistor; arrow according to schematic

The diagram shows a schematic representation of an NPN transistor connected to two voltage sources. (The same description applies to a PNP transistor with reversed directions of current flow and applied voltage.) This applied voltage causes the lower p–n junction to become forward biased, allowing a flow of electrons from the emitter into the base. In active mode, the electric field existing between base and collector (caused byVCE) will cause the majority of these electrons to cross the upper p–n junction into the collector to form the collector currentIC. The remainder of the electrons recombine with holes, the majority carriers in the base, making a current through the base connection to form the base current,IB. As shown in the diagram, the emitter current,IE, is the total transistor current, which is the sum of the other terminal currents, (i.e.IE = IB + IC).

In the diagram, the arrows representing current point in the direction of conventional current – the flow of electrons is in the opposite direction of the arrows because electrons carry negativeelectric charge. In active mode, the ratio of the collector current to the base current is called theDC current gain. This gain is usually 100 or more, but robust circuit designs do not depend on the exact value (for example seeop-amp). The value of this gain for DC signals is referred to ashFE{\displaystyle h_{\text{FE}}}, and the value of this gain for small signals is referred to ashfe{\displaystyle h_{\text{fe}}}. That is, when a small change in the currents occurs, and sufficient time has passed for the new condition to reach a steady statehfe{\displaystyle h_{\text{fe}}} is the ratio of the change in collector current to the change in base current. The symbolβ{\displaystyle \beta } is used for bothhFE{\displaystyle h_{\text{FE}}} andhfe{\displaystyle h_{\text{fe}}}.[3]: 62–66 

The emitter current is related toVBE{\displaystyle V_{\text{BE}}} exponentially. Atroom temperature, an increase inVBE{\displaystyle V_{\text{BE}}} by approximately 60 mV increases the emitter current by a factor of 10. Because the base current is approximately proportional to the collector and emitter currents, they vary in the same way.

History

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The bipolar point-contact transistor was invented in December 1947[11] at theBell Telephone Laboratories byJohn Bardeen andWalter Brattain under the direction ofWilliam Shockley. The junction version known as the bipolar junction transistor (BJT), invented by Shockley in 1948,[12] was for three decades the device of choice in the design of discrete andintegrated circuits. Nowadays, the use of the BJT has declined in favor of CMOS technology in the design of digital integrated circuits. The incidental low performance BJTs inherent in CMOS ICs, however, are often utilized asbandgap voltage reference,silicon bandgap temperature sensor and to handleelectrostatic discharge.

Germanium transistors

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The germanium transistor was more common in the 1950s and 1960s but has a greater tendency to exhibitthermal runaway. Sincegermanium p-n junctions have a lower forward bias than silicon, germanium transistors turn on at lower voltage.

Early manufacturing techniques

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Various methods of manufacturing bipolar transistors were developed.[13]

Theory and modeling

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Band diagram for NPN transistor at equilibrium
Band diagram for NPN transistor in active mode, showing injection of electrons from emitter to base, and their overshoot into the collector

BJTs can be thought of as two diodes (p–n junctions) sharing a common region that minority carriers can move through. A PNP BJT will function like two diodes that share an N-type cathode region, and the NPN like two diodes sharing a P-type anode region. Connecting two diodes with wires will not make a BJT, since minority carriers will not be able to get from one p–n junction to the other through the wire.

Both types of BJT function by letting a small current input to the base control an amplified output from the collector. The result is that the BJT makes a good switch that is controlled by its base input. The BJT also makes a good amplifier, since it can multiply a weak input signal to about 100 times its original strength. Networks of BJTs are used to make powerful amplifiers with many different applications.

In the discussion below, focus is on the NPN BJT. In what is called active mode, the base–emitter voltageVBE{\displaystyle V_{\text{BE}}} and collector–base voltageVCB{\displaystyle V_{\text{CB}}} are positive, forward biasing the emitter–base junction and reverse-biasing the collector–base junction. In this mode, electrons are injected from the forward biased n-type emitter region into the p-type base where they diffuse as minority carriers to the reverse-biased n-type collector and are swept away by the electric field in the reverse-biased collector–base junction.

For an illustration of forward and reverse bias, seesemiconductor diodes.

Large-signal models

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In 1954,Jewell James Ebers andJohn L. Moll introduced theirmathematical model of transistor currents:[27]

Ebers–Moll model

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Ebers–Moll model for an NPN transistor.[28]IB,IC andIE are the base, collector and emitter currents;ICD andIED are the collector and emitter diode currents;αF andαR are the forward and reverse common-base current gains.
Ebers–Moll model for a PNP transistor
Approximated Ebers–Moll model for an NPN transistor in the forward active mode. The collector diode is reverse-biased soICD is virtually zero. Most of the emitter diode current (αF is nearly 1) is drawn from the collector, providing the amplification of the base current.

The DC emitter and collector currents in active mode are well modeled by an approximation to the Ebers–Moll model:

IE=IES(eVBEVT1)IC=αFIEIB=(1αF)IE{\displaystyle {\begin{aligned}I_{\text{E}}&=I_{\text{ES}}\left(e^{\frac {V_{\text{BE}}}{V_{\text{T}}}}-1\right)\\I_{\text{C}}&=\alpha _{\text{F}}I_{\text{E}}\\I_{\text{B}}&=\left(1-\alpha _{\text{F}}\right)I_{\text{E}}\end{aligned}}}

The base internal current is mainly by diffusion (seeFick's law) and

Jn(base)=1WqDnnboeVEBVT{\displaystyle J_{n\,({\text{base}})}={\frac {1}{W}}qD_{n}n_{bo}e^{\frac {V_{\text{EB}}}{V_{\text{T}}}}}

where

Theα{\displaystyle \alpha } and forwardβ{\displaystyle \beta } parameters are as described previously. A reverseβ{\displaystyle \beta } is sometimes included in the model.

The unapproximated Ebers–Moll equations used to describe the three currents in any operating region are given below. These equations are based on the transport model for a bipolar junction transistor.[29]

iC=IS[(eVBEVTeVBCVT)1βR(eVBCVT1)]iB=IS[1βF(eVBEVT1)+1βR(eVBCVT1)]iE=IS[(eVBEVTeVBCVT)+1βF(eVBEVT1)]{\displaystyle {\begin{aligned}i_{\text{C}}&=I_{\text{S}}\left[\left(e^{\frac {V_{\text{BE}}}{V_{\text{T}}}}-e^{\frac {V_{\text{BC}}}{V_{\text{T}}}}\right)-{\frac {1}{\beta _{\text{R}}}}\left(e^{\frac {V_{\text{BC}}}{V_{\text{T}}}}-1\right)\right]\\i_{\text{B}}&=I_{\text{S}}\left[{\frac {1}{\beta _{\text{F}}}}\left(e^{\frac {V_{\text{BE}}}{V_{\text{T}}}}-1\right)+{\frac {1}{\beta _{\text{R}}}}\left(e^{\frac {V_{\text{BC}}}{V_{\text{T}}}}-1\right)\right]\\i_{\text{E}}&=I_{\text{S}}\left[\left(e^{\frac {V_{\text{BE}}}{V_{\text{T}}}}-e^{\frac {V_{\text{BC}}}{V_{\text{T}}}}\right)+{\frac {1}{\beta _{\text{F}}}}\left(e^{\frac {V_{\text{BE}}}{V_{\text{T}}}}-1\right)\right]\end{aligned}}}

where

Base-width modulation
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Main article:Early effect
Top: NPN base width for low collector–base reverse bias; Bottom: narrower NPN base width for large collector–base reverse bias. Hashed regions aredepleted regions.

As the collector–base voltage (VCB=VCEVBE{\displaystyle V_{\text{CB}}=V_{\text{CE}}-V_{\text{BE}}}) varies, the collector–base depletion region varies in size. An increase in the collector–base voltage, for example, causes a greater reverse bias across the collector–base junction, increasing the collector–base depletion region width, and decreasing the width of the base. This variation in base width often is called theEarly effect after its discovererJames M. Early.

Narrowing of the base width has two consequences:

  • There is a lesser chance for recombination within the "smaller" base region.
  • The charge gradient is increased across the base, and consequently, the current of minority carriers injected across the emitter junction increases.

Both factors increase the collector or "output" current of the transistor in response to an increase in the collector–base voltage.

Punchthrough
[edit]

When the base–collector voltage reaches a certain (device-specific) value, the base–collector depletion region boundary meets the base–emitter depletion region boundary. When in this state the transistor effectively has no base. The device thus loses all gain when in this state.

Gummel–Poon charge-control model

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The Gummel–Poon model[30] is a detailed charge-controlled model of BJT dynamics, which has been adopted and elaborated by others to explain transistor dynamics in greater detail than the terminal-based models typically do.[31] This model also includes the dependence of transistorβ{\displaystyle \beta }-values upon the direct current levels in the transistor, which are assumed current-independent in the Ebers–Moll model.[32]

Small-signal models

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Hybrid-pi model

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Main article:hybrid-pi model
Hybrid-pi model

The hybrid-pi model is a popularcircuit model used for analyzing thesmall signal and AC behavior of bipolar junction and field effecttransistors. Sometimes it is also calledGiacoletto model because it was introduced byL.J. Giacoletto in 1969. The model can be quite accurate for low-frequency circuits and can easily be adapted for higher-frequency circuits with the addition of appropriate inter-electrodecapacitances and other parasitic elements.

h-parameter model

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Generalized h-parameter model of an NPN BJT.
Replacex withe,b orc for CE, CB and CC topologies respectively.

Another model commonly used to analyze BJT circuits is theh-parameter model, also known as the hybrid equivalent model, closely related to thehybrid-pi model and they-parametertwo-port, but using input current and output voltage as independent variables, rather than input and output voltages. This two-port network is particularly suited to BJTs as it lends itself easily to the analysis of circuit behavior, and may be used to develop further accurate models. As shown, the termx in the model represents a different BJT lead depending on the topology used. For common-emitter mode the various symbols take on the specific values as:

  • Terminal 1, base
  • Terminal 2, collector
  • Terminal 3 (common), emitter; givingx to bee
  • ii, base current (ib)
  • io, collector current (ic)
  • Vin, base-to-emitter voltage (VBE)
  • Vo, collector-to-emitter voltage (VCE)

and the h-parameters are given by:

  • hix =hie for the common-emitter configuration, theinput impedance of the transistor (corresponding to the base resistancerpi).
  • hrx =hre, areverse transfer relationship, it represents the dependence of the transistor's (input)IBVBE curve on the value of (output)VCE. It is usually very small and is often neglected (assumed to be zero) at DC.
  • hfx =hfe, the "forward" current-gain of the transistor, sometimes writtenh21. This parameter, with lower case "fe" to imply small signal (AC) gain, or more often with capital letters for "FE" (specified ashFE) to mean the "large signal" or DC current-gain (βDC or often simplyβ), is one of the main parameters in datasheets, and may be given for a typical collector current and voltage or plotted as a function of collector current. See below.
  • hox = 1/hoe, the output impedance of transistor. The parameterhoe usually corresponds to the output admittance of the bipolar transistor and has to be inverted to convert it to an impedance.

As shown, the h-parameters have lower-case subscripts and hence signify AC conditions or analyses. For DC conditions they are specified in upper-case. For the CE topology, an approximate h-parameter model is commonly used which further simplifies the circuit analysis. For this thehoe andhre parameters are neglected (that is, they are set to infinity and zero, respectively). The h-parameter model as shown is suited to low-frequency, small-signal analysis. For high-frequency analyses the inter-electrode capacitances that are important at high frequencies must be added.

Etymology ofhFE
[edit]

Theh refers to its being an h-parameter, a set of parameters named for their origin in ahybrid equivalent circuit model (see above). As with all h parameters, the choice of lower case or capitals for the letters that follow the "h" is significant; lower-case signifies "small signal" parameters, that is, the slope the particular relationship; upper-case letters imply "large signal" orDC values, the ratio of the voltages or currents. In the case of the very often usedhFE:

  • F is fromForward current amplification also called the current gain.
  • E refers to the transistor operating in acommonEmitter (CE) configuration.

So hFE (or hFE) refers to the (total; DC) collector current divided by the base current, and is dimensionless. It is a parameter that varies somewhat with collector current, but is often approximated as a constant; it is normally specified at a typical collector current and voltage, or graphed as a function of collector current.

Had capital letters not been used for used in the subscript, i.e. if it were writtenhfe the parameter indicate small signal (AC) current gain, i.e. the slope of the Collector current versus Base current graph at a given point, which is often close to the hFE value unless the test frequency is high.

Industry models

[edit]
[icon]
This sectionneeds expansion. You can help byadding to it.(January 2015)

The Gummel–Poon SPICE model is often used, but it suffers from several limitations. For instance, reverse breakdown of the base–emitter diode is not captured by the SGP (SPICE Gummel–Poon) model, neither are thermal effects (self-heating) or quasi-saturation.[33] These have been addressed in various more advanced models which either focus on specific cases of application (Mextram, HICUM, Modella) or are designed for universal usage (VBIC).[34][35][36][37]

Applications

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The BJT remains a device that excels in some applications, such as discrete circuit design, due to the very wide selection of BJT types available, and because of its high transconductance and output resistance compared toMOSFETs.

The BJT is also the choice for demanding analog circuits, especially forvery-high-frequency applications, such asradio-frequency circuits for wireless systems.

High-speed digital logic

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Emitter-coupled logic (ECL) use BJTs.

Bipolar transistors can be combined with MOSFETs in an integrated circuit by using a BiCMOS process of wafer fabrication to create circuits that take advantage of the application strengths of both types of transistor.

Amplifiers

[edit]
Main article:Electronic amplifier

Thetransistor parameters α and β characterize thecurrent gain of the BJT. It is this gain that allows BJTs to be used as the building blocks of electronic amplifiers. The three main BJT amplifier topologies are:

Temperature sensors

[edit]
Main article:Silicon bandgap temperature sensor

Because of the known temperature and current dependence of the forward-biased base–emitter junction voltage, the BJT can be used to measure temperature by subtracting two voltages at two different bias currents in a known ratio.[38]

Logarithmic converters

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Because base–emitter voltage varies as the logarithm of the base–emitter and collector–emitter currents, a BJT can also be used to computelogarithms and anti-logarithms. A diode can also perform these nonlinear functions but the transistor provides more circuit flexibility.

Avalanche pulse generators

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Transistors may be deliberately made with a lower collector to emitter breakdown voltage than the collector to base breakdown voltage. If the emitter–base junction is reverse biased the collector emitter voltage may be maintained at a voltage just below breakdown. As soon as the base voltage is allowed to rise, and current flowsavalanche occurs and impact ionization in the collector base depletion region rapidly floods the base with carriers and turns the transistor fully on. So long as the pulses are short enough and infrequent enough that the device is not damaged, this effect can be used to create very sharp falling edges.

Specialavalanche transistor devices are made for this application.

See also

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Notes

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  1. ^Some metals, such asaluminum have significant hole bands.[1]
  2. ^SeePoint-contact transistor for the historical origin of these names.

References

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  1. ^Ashcroft; Mermin (1976).Solid State Physics (1st ed.). Holt, Rinehart, and Winston. pp. 299–302.ISBN 978-0030839931.
  2. ^Chenming Calvin Hu (2010).Modern Semiconductor Devices for Integrated Circuits.
  3. ^abcdHorowitz, Paul;Hill, Winfield (1989).The Art of Electronics (2nd ed.). Cambridge University Press.ISBN 978-0-521-37095-0. RetrievedJune 22, 2023.
  4. ^Liou, Juin Jei; Yuan, Jiann S. (1998).Semiconductor Device Physics and Simulation. Springer.ISBN 978-0-306-45724-1.
  5. ^General Electric (1962).Transistor Manual (6th ed.). p. 12.Bibcode:1964trma.book.....C. "If the principle of space charge neutrality is used in the analysis of the transistor, it is evident that the collector current is controlled by means of the positive charge (hole concentration) in the base region. ... When a transistor is used at higher frequencies, the fundamental limitation is the time it takes the carriers to diffuse across the base region..." (same in 4th and 5th editions).
  6. ^Antognetti, Paolo; Massobrio, Giuseppe (1993).Semiconductor Device Modeling with Spice. McGraw–Hill Professional.ISBN 978-0-07-134955-0.
  7. ^Morgan, D.V.; Williams, Robin H., eds. (1991).Physics and Technology of Heterojunction Devices. London: Institution of Electrical Engineers (Peter Peregrinus Ltd.).ISBN 978-0-86341-204-2.
  8. ^Ashburn, Peter (2003).SiGe Heterojunction Bipolar Transistors. New York: Wiley. Chapter 10.ISBN 978-0-470-84838-8.
  9. ^JIMBLOM."Transistors: Operation Modes".SparkFun Electronics. RetrievedJune 22, 2023.
  10. ^"Lecture 18 Outline: The Bipolar Junction Transistor (II) – Regimes of Operation"(PDF). Spring 2007. RetrievedJune 22, 2023.
  11. ^"1947: Invention of the Point-Contact Transistor".Computer History Museum. RetrievedAugust 10, 2016.
  12. ^"1948: Conception of the Junction Transistor". Computer History Museum. RetrievedAugust 10, 2016.
  13. ^Third case study – the solid state adventArchived September 27, 2007, at theWayback Machine (PDF)
  14. ^"Transistor Museum, Historic Transistor Photo Gallery, Bell Labs Type M1752".
  15. ^Morris, Peter Robin (1990). "4.2".A History of the World Semiconductor Industry. IEE History of Technology Series 12. London: Peter Peregrinus Ltd. p. 29.ISBN 978-0-86341-227-1.
  16. ^"Transistor Museum Photo Gallery RCA TA153". RetrievedAugust 10, 2016.
  17. ^High Speed Switching Transistor Handbook (2nd ed.). Motorola. 1963. p. 17.[1].
  18. ^Transistor Museum, Historic Transistor Photo Gallery, Western Electric 3N22.
  19. ^Maupin, J.T. (1957). "The tetrode power transistor".IRE Transactions on Electron Devices.4 (1):1–5.Bibcode:1957ITED....4....1M.doi:10.1109/T-ED.1957.14192.S2CID 51668235.
  20. ^"Transistor Museum Photo Gallery Philco A01 Germanium Surface Barrier Transistor". RetrievedAugust 10, 2016.
  21. ^"Transistor Museum Photo Gallery Germanium Surface Barrier Transistor". RetrievedAugust 10, 2016.
  22. ^Brar, B.; Sullivan, G.J.; Asbeck, P.M. (2001). "Herb's bipolar transistors".IEEE Transactions on Electron Devices.48 (11):2473–2476.Bibcode:2001ITED...48.2473B.doi:10.1109/16.960370.
  23. ^Bullis, W.M.; Runyan, W.R. (1967). "Influence of mobility and lifetime variations on drift-field effects in silicon-junction devices".IEEE Transactions on Electron Devices.14 (2):75–81.Bibcode:1967ITED...14...75B.doi:10.1109/T-ED.1967.15902.
  24. ^"Transistor Museum Photo Gallery Bell Labs Prototype Diffused Base Germanium Silicon Transistor". RetrievedAugust 10, 2016.
  25. ^"Transistor Museum Photo Gallery Fairchild 2N1613 Early Silicon Planar Transistor". RetrievedAugust 10, 2016.
  26. ^"1960: Epitaxial Deposition Process Enhances Transistor Performance". Computer History Museum. RetrievedJune 22, 2023.
  27. ^Ebers, J.; Moll, J. (1954). "Large-Signal Behavior of Junction Transistors".Proceedings of the IRE.42 (12):1761–1772.doi:10.1109/jrproc.1954.274797.S2CID 51672011.
  28. ^Sedra, Adel S.; Smith, Kenneth C. (1987).Microelectronic Circuits (2nd ed.). Holt, Rinehart, and Winston. p. 903.ISBN 978-0-03-007328-1.
  29. ^Sedra, A.S.; Smith, K.C. (2004).Microelectronic Circuits (5th ed.). New York: Oxford. Eqs. 4.103–4.110, p. 305.ISBN 978-0-19-514251-8.
  30. ^Gummel, H. K.; Poon, H. C. (1970). "An Integral Charge Control Model of Bipolar Transistors".Bell System Technical Journal.49 (5):827–852.doi:10.1002/j.1538-7305.1970.tb01803.x.
  31. ^"Bipolar Junction Transistors". Archived fromthe original on February 7, 2009. RetrievedAugust 10, 2016.
  32. ^A.S. Sedra; K.C. Smith (2004).Microelectronic Circuits (5th ed.). New York: Oxford. p. 509.ISBN 978-0-19-514251-8.
  33. ^"VBIC Description and Derivation Details"(PDF).Designer's Guide.
  34. ^"SmartSpice Analog Circuit Simulator"(PDF). Silvaco. Archived fromthe original(PDF) on March 5, 2016. RetrievedJanuary 15, 2015.
  35. ^Gennady Gildenblat, ed. (2010).Compact Modeling: Principles, Techniques and Applications. Springer Science & Business Media. Part II: Compact Models of Bipolar Junction Transistors, pp. 167–267 cover Mextram and HiCuM in-depth.ISBN 978-90-481-8614-3.
  36. ^Schröter, Michael (2010).Compact Hierarchical Bipolar Transistor Modeling with Hicum. World Scientific.ISBN 978-981-4273-21-3.
  37. ^"Compact Models for Bipolar Transistors, Berkner"(PDF). Archived fromthe original(PDF) on January 16, 2015. RetrievedJanuary 16, 2015.
  38. ^"IC Temperature Sensors Find the Hot Spots".analog.com. February 21, 2002. RetrievedJanuary 12, 2025.

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