Old page wikitext, before the edit (old_wikitext ) | '{{Redirect|Junction transistor}}
{{redirect|BJT|the Japanese language proficiency test|Business Japanese Proficiency Test|Beijing Time|China Standard Time}}
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| [[Image:BJT NPN symbol (case).svg|75px]] || NPN
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{{Float end|caption=BJT schematic symbols}}
[[Image:Transistorer (croped).jpg|thumb|upright|Typical individual BJT packages. From top to bottom: [[TO-3]], [[TO-126]], [[TO-92]], [[Small-outline transistor|SOT-23]]]]
A '''bipolar junction transistor''' ('''bipolar transistor''' or '''BJT''') is a type of [[transistor]] that uses both [[electron]] and [[electron hole|hole]] charge carriers. In contrast, unipolar transistors, such as [[field-effect transistor]]s, only use one kind of charge carrier. For their operation, BJTs use two junctions between two [[semiconductor]] types, n-type and p-type.
BJTs are manufactured in two types, NPN and PNP, and are available as individual components, or fabricated in [[integrated circuit]]s, often in large numbers. The basic function of a BJT is to amplify current. This allows BJTs to be used as [[Electronic amplifier|amplifiers]] or switches, giving them wide applicability in electronic equipment, including computers, televisions, mobile phones, audio amplifiers, industrial control, and radio transmitters.
==Note on current direction==
By convention, the direction of current on diagrams is shown as the direction that a positive charge would move. This is called ''conventional current''. However, current in many metal conductors is due to the flow of electrons which, because they carry a negative charge, move in the opposite direction 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. The arrow on the symbol for bipolar transistors indicates the PN junction between base and emitter and points in the direction conventional current travels.
==Function==
{{technical|section|date=July 2012}}
BJTs come in two types, or polarities, known as PNP and NPN based on the [[Doping (semiconductors)|doping]] types of the three main terminal regions. An NPN transistor comprises two [[P–n junction|semiconductor junctions]] that share a thin p-doped region, and a PNP transistor comprises two semiconductor junctions that share a thin n-doped region.
[[Image:NPN BJT Basic Operation (Active).svg|thumb|942x942px|NPN BJT with forward-biased E–B junction and reverse-biased B–C junction|center]]
Charge flow in a BJT is due to [[diffusion]] of [[Charge carriers in semiconductors|charge carriers]] across a junction between two regions of different charge concentrations. The regions of a BJT are called ''emitter'', ''collector'', and ''base''.<ref group="note" >See [[point-contact transistor]] for the historical origin of these names.</ref> A discrete transistor has three leads for connection to these regions. Typically, the emitter region is heavily doped compared to the other two layers, whereas the majority charge carrier concentrations in base and collector layers are about the same (collector doping is typically ten times lighter than base doping <ref name= "hu">{{cite book | author = Chenming Calvin Hu | title = Modern Semiconductor Devices for Integrated Circuits | year = 2010 | url = http://people.eecs.berkeley.edu/~hu/Book-Chapters-and-Lecture-Slides-download.html }}</ref>). By design, most of the BJT collector current is due to the flow of charges injected from a high-concentration emitter into the base where they are [[minority carrier]]s that diffuse toward the collector, and so BJTs are classified as minority-carrier devices.
In typical operation, the base–emitter [[p-n junction|junction]] is [[p-n junction#Forward bias|forward-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 is [[p-n junction#Reverse bias|reverse-biased]]. In an NPN transistor, when positive bias is applied to the base–emitter junction, the equilibrium is disturbed between the thermally generated [[charge carrier|carriers]] and the repelling electric field of the n-doped emitter [[depletion region]]. This allows thermally excited electrons to inject from the emitter into the base region. These electrons [[diffusion|diffuse]] through the base from the region of high concentration near the emitter towards the region of low concentration near the collector. The electrons in the base are called ''[[minority carrier]]s'' because the base is doped p-type, which makes [[Electron hole|holes]] the ''[[majority carrier]]'' in the base.
To minimize the fraction of carriers that [[Carrier generation and recombination|recombine]] 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. In particular, the thickness of the base must be much less than the [[Fick's law#Example solution in one dimension: diffusion length|diffusion length]] of the electrons. The collector–base junction is reverse-biased, and so little electron injection occurs from the collector to the base, but electrons that diffuse through the base towards the collector are swept into the collector by the electric field in the depletion region of the collector–base junction. The thin ''shared'' base and asymmetric collector–emitter doping are what differentiates a bipolar transistor from two ''separate'' and oppositely biased diodes connected in series.
===Voltage, current, and charge control===
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).<ref name= "hh">{{cite book | author = [[Paul Horowitz]] and [[Winfield Hill]] | title = The Art of Electronics | edition = 2nd | year = 1989 | publisher = Cambridge University Press | isbn = 978-0-521-37095-0 | url = https://books.google.com/books?id=bkOMDgwFA28C&pg=PA113&dq=bjt+charge+current+voltage+control+inauthor:horowitz+inauthor:hill}}</ref>
The physical explanation for collector current is the concentration of minority carriers in the base region.<ref name=hh/><ref>{{cite book | title = Semiconductor Device Physics and Simulation | author = Juin Jei Liou and Jiann S. Yuan | publisher = Springer | year = 1998 | isbn = 0-306-45724-5 | url = https://books.google.com/books?id=y343FTN1TU0C&pg=PA166&dq=charge-controlled+bjt+physics}}</ref><ref>{{cite book | title = Transistor Manual | author = General Electric | edition = 6th | year = 1962 | page = 12}} "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).</ref> Due to [[low-level injection]] (in which there are much fewer excess carriers than normal majority carriers) the [[ambipolar diffusion|ambipolar transport]] rates (in which the excess majority and minority carriers flow at the same rate) is in effect determined by the excess minority carriers.
Detailed [[transistor models]] of transistor action, such as the [[Gummel–Poon model]], account for the distribution of this charge explicitly to explain transistor behaviour more exactly.<ref>{{cite book | title = Semiconductor Device Modeling with Spice | author = Paolo Antognetti and Giuseppe Massobrio | publisher = McGraw–Hill Professional | year = 1993 | isbn = 0-07-134955-3 | url = https://books.google.com/books?id=5IBYU9xrGaIC&pg=PA96&dq=gummel-poon+charge+model#PPA98,M1 }}</ref> The charge-control view easily handles [[phototransistor]]s, where minority carriers in the base region are created by the absorption of [[photon]]s, 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.
In [[analog circuit]] design, the current-control view is sometimes used because it is approximately linear. That is, the collector current is approximately <math>\beta_F</math> times the base current. Some basic circuits can be designed by assuming that the emitter–base 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 (for example, [[Ebers–Moll model|Ebers–Moll]]) model is required.<ref name=hh/> 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. For [[translinear circuit]]s, in which the exponential I–V curve is key to the operation, the transistors are usually modeled as voltage-controlled current sources whose [[transconductance]] is proportional to their collector current. In general, transistor-level circuit design is performed using [[SPICE]] or a comparable analog-circuit simulator, so model complexity is usually not of much concern to the designer.
===Turn-on, turn-off, and storage delay===
{{main|Baker clamp}}
Most bipolar transistors, and especially power transistors, have long base-storage times when they are driven into saturation; the base storage limits turn-off time in switching applications. A [[Baker clamp]] can prevent the transistor from heavily saturating, which reduces the amount of charge stored in the base and thus improves switching time.<!-- at a cost of increased V<sub>CE,sat</sub> -->
===Transistor parameters: alpha (α) and beta (β) {{Anchor|Alpha|Beta}}===
The proportion of electrons 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.
The ''[[common-emitter]] current gain'' is represented by β<sub>F</sub> or the [[Two-port network#h-parameters|h-parameter]] h<sub>FE</sub>; it is approximately the ratio of the DC collector current to the DC base current in forward-active region. It is typically greater than 50 for small-signal transistors, but can be smaller in transistors designed for high-power applications.
Another important parameter is the ''[[common-base]] current gain'', α<sub>F</sub>. 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 [[carrier generation and recombination|recombination of charge carriers]] as they cross the base region.
Alpha and beta are more precisely related by the following identities (NPN transistor):
:<math>\begin{align}
\alpha_F &= \frac{I_\text{C}}{I_\text{E}}, & \beta_F &= \frac{I_\text{C}}{I_\text{B}}, \\
\alpha_F &= \frac{\beta_F}{1 + \beta_F} & \iff \beta_F &= \frac{\alpha_F}{1 - \alpha_F}.
\end{align}</math>
==Structure==
[[File:NPN BJT (Planar) Cross-section.svg|frame|left|Simplified cross section of a planar ''NPN'' bipolar junction transistor|300x300px]]
A BJT consists of three differently [[Doping (semiconductor)|doped]] semiconductor regions: the ''emitter'' region, the ''base'' region and the ''collector'' region. These regions are, respectively, ''p'' type, ''n'' type and ''p'' type in a PNP transistor, and ''n'' type, ''p'' type and ''n'' type in an NPN transistor. Each semiconductor region is connected to a terminal, appropriately labeled: ''emitter'' (E), ''base'' (B) and ''collector'' (C).
The ''base'' is physically located between the ''emitter'' and the ''collector'' 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.
[[Image:Transistor-die-KSY34.jpg|thumb|right|200px|Die of a KSY34 high-frequency NPN transistor. Bond wires connect to the base and emitter]]
The low-performance "lateral" bipolar transistors sometimes used in [[CMOS]] processes 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 the ''emitter'' and the ''collector'' to change significantly. This effect can be used to amplify the input voltage or current. BJTs can be thought of as voltage-controlled [[current source]]s, 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 from [[germanium]] but most modern BJTs are made from [[silicon]]. A significant minority are also now made from [[gallium arsenide]], especially for very high speed applications (see HBT, below).
===NPN===
[[Image:BJT NPN symbol (case).svg|thumb|100px|The symbol of an NPN BJT. A mnemonic for the symbol is "'''n'''ot '''p'''ointing i'''n'''".]]
NPN is one of the two types of bipolar transistors, consisting of a layer of P-[[Doping (semiconductor)|doped]] semiconductor (the "base") between two N-doped layers. A small current entering the base is amplified to produce a large collector and emitter current. That is, when there is a positive potential difference measured from the base of an NPN transistor to its emitter (that is, when the base is '''high''' relative to the emitter), as well as a positive potential difference measured from the collector to the emitter, the transistor becomes active. In this "on" state, current flows from the collector to the emitter of the transistor. Most of the current is carried by electrons moving from emitter to collector as [[minority carrier]]s in the P-type base region. To allow for greater current and faster operation, most bipolar transistors used today are NPN because [[electron mobility]] is higher than [[hole mobility]].
A [[mnemonic]] device for the NPN transistor symbol is "''n''ot ''p''ointing i''n''", based on the arrows in the symbol and the letters in the name.<ref name=mnemnpn>{{cite book
| title = Essentials of electronic circuitry
| author = Alphonse J. Sistino
| publisher = CRC Press
| year = 1996
| isbn = 978-0-8247-9693-8
| pages = 64
| url = https://books.google.com/books?id=lmcHKS1lkrQC&pg=PA64&dq=%22not+pointing%22+PNP}}</ref>
===PNP===
[[Image:BJT PNP symbol (case).svg|thumb|100px|The symbol of a PNP BJT. A mnemonic for the symbol is "'''p'''oints i'''n''' '''p'''roudly".]]
The other type of BJT is the PNP, consisting of a layer of N-[[Doping (semiconductor)|doped]] semiconductor between two layers of P-doped material. A small current leaving the base is amplified in the collector output. That is, a PNP transistor is "on" when its base is pulled '''low''' relative to the emitter.
In a PNP transistor, the emitter–base region is forward biased, so holes are injected into the base as minority carriers. The base is very thin, and most of the holes cross the reverse-biased base–collector junction to the collector.
The arrows in the NPN and PNP transistor symbols indicate the PN junction between the base and emitter. When the device is in forward active or forward saturated mode, the arrow, placed on the emitter leg, points in the direction of the [[conventional current]].
A mnemonic device for the PNP transistor symbol is "''p''ointing i''n'' (''p''roudly/''p''ermanently)", based on the arrows in the symbol and the letters in the name.<ref name=mnempnp>{{cite book
| title = Essentials of electronic circuitry
| author = Alphonse J. Sistino
| publisher = CRC Press
| year = 1996
| isbn = 978-0-8247-9693-8
| pages = 102
| url = https://books.google.com/books?id=lmcHKS1lkrQC&pg=PA64&dq=%22pointing+in%22+PNP}}</ref>
===Heterojunction bipolar transistor===
[[Image:Npn heterostructure bands.svg|thumb|left|Bands in graded heterojunction NPN bipolar transistor. Barriers indicated for electrons to move from emitter to base and for holes to be injected backward from base to emitter; also, grading of bandgap in base assists electron transport in base region. Light colors indicate [[depletion region|depleted regions]]. |302x302px]]
The [[heterojunction bipolar transistor]] (HBT) is an improvement of the BJT that can handle signals of very high frequencies up to several hundred [[Hertz|GHz]]. It is common in modern ultrafast circuits, mostly [[Radio frequency|RF]] systems.<ref name=Williams>
{{cite book
|author= D.V. Morgan, Robin H. Williams (Editors)
|title=Physics and Technology of Heterojunction Devices
|year= 1991
|publisher=Institution of Electrical Engineers (Peter Peregrinus Ltd.)
|location=London
|isbn=0-86341-204-1
|url=https://books.google.com/books?id=C98iH7UDtzwC&pg=PA210&dq=%22SIGe+heterojunction%22#PPA201,M1
}}</ref><ref name="Ashburn">{{cite book
|author=Peter Ashburn
|title=SiGe Heterojunction Bipolar Transistors
|year= 2003
|pages=Chapter 10
|publisher= Wiley
|location=New York
|isbn=0-470-84838-3
|url=http://worldcat.org/isbn/0470848383
|nopp=true
}}</ref>
[[File:Diagrama de Transistor NPN.svg|thumb|224x224px|Symbol for NPN bipolar transistor with current flow direction]]
Heterojunction transistors have different semiconductors for the elements of the transistor. Usually the emitter is composed of a larger bandgap material than the base. The figure shows that this difference in bandgap allows the barrier for holes to inject backward from the base into the emitter, denoted in the figure as Δφ<sub>p</sub>, to be made large, while the barrier for electrons to inject into the base Δφ<sub>n</sub> is made low. This barrier arrangement helps reduce minority carrier injection from the base when the emitter-base junction is under forward bias, and thus reduces base current and increases emitter injection efficiency.
The improved injection of carriers into the base allows the base to have a higher doping level, resulting in lower resistance to access the base electrode. In the more traditional BJT, also referred to as homojunction BJT, the efficiency of carrier injection from the emitter to the base is primarily determined by the doping ratio between the emitter and base, which means the base must be lightly doped to obtain high injection efficiency, making its resistance relatively high. In addition, higher doping in the base can improve figures of merit like the [[Early voltage]] by lessening base narrowing.
The grading of composition in the base, for example, by progressively increasing the amount of germanium in a [[SiGe]] transistor, causes a gradient in bandgap in the neutral base, denoted in the figure by Δφ<sub>G</sub>, providing a "built-in" field that assists electron transport across the base. That [[drift transistor|drift component]] of transport aids the normal diffusive transport, increasing the frequency response of the transistor by shortening the transit time across the base.
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 by [[epitaxy]] techniques like [[Metalorganic vapour phase epitaxy|MOCVD]] and [[Molecular beam epitaxy|MBE]].
==Regions of operation==<!-- This section is linked from [[Emitter-coupled logic]] -->
{| class="wikitable" style="float:right;margin-left:1em"
! Applied voltages !! B-E junction <br>bias (NPN) !! B-C junction <br> bias (NPN) !! Mode (NPN)
|-
|E < B < C || Forward || Reverse || Forward-active
|-
|E < B > C || Forward || Forward || Saturation
|-
|E > B < C || Reverse || Reverse || Cut-off
|-
|E > B > C || Reverse || Forward || Reverse-active
|-
! Applied voltages !! B-E junction <br>bias (PNP) !! B-C junction <br> bias (PNP) !! Mode (PNP)
|-
|E < B < C || Reverse || Forward || Reverse-active
|-
|E < B > C || Reverse || Reverse || Cut-off
|-
|E > B < C || Forward || Forward || Saturation
|-
|E > B > C || Forward || Reverse || Forward-active
|}
Bipolar transistors have four distinct regions of operation, defined by BJT junction biases.
;Forward-active (or simply ''active''): 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, β<sub>F</sub>, in forward-active mode. If this is the case, the collector–emitter current is approximately [[Proportionality (mathematics)|proportional]] to the base current, but many times larger, for small base current variations.
;Reverse-active (or ''inverse-active'' or ''inverted''): 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 β<sub>F</sub> 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 of [[Transistor–transistor_logic#Implementation|bipolar 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.
;[[Avalanche breakdown]] region:
[[File:Current-Voltage relationship of BJT.png|thumb|458x458px|The relationship between <math>I_C</math>, <math>U_{CE}</math> and <math>I_B</math>]]
The modes of operation can be described in terms of the applied voltages (this description applies to NPN transistors; polarities are reversed for PNP transistors):
;Forward-active: Base higher than emitter, collector higher than base (in this mode the collector current is proportional to base current by <math>\beta_F</math>).
;Saturation: Base higher than emitter, but collector is not higher than base.
;Cut-off: Base lower than emitter, but collector is higher than base. It means the transistor is not letting conventional current go through from collector to emitter.
;Reverse-active: Base lower than emitter, collector lower than base: reverse conventional current goes through transistor.
In terms of junction biasing: (''reverse biased base–collector junction'' means V{{sub|bc}} < 0 for NPN, opposite for PNP)
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===
[[File:NPN BJT - Structure & circuit.svg|frame|right|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.) To make the transistor conduct appreciable current (on the order of 1 mA) from C to E, ''V''<sub>BE</sub> must be above a minimum value sometimes referred to as the '''cut-in voltage'''. The cut-in voltage is usually about 650 mV for silicon BJTs at [[room temperature]] but can be different depending on the type of transistor and its [[biasing (electronics)|biasing]]. This applied voltage causes the lower P-N junction to 'turn on', allowing a flow of electrons from the emitter into the base. In active mode, the electric field existing between base and collector (caused by ''V''<sub>CE</sub>) will cause the majority of these electrons to cross the upper P-N junction into the collector to form the collector current ''I''<sub>C</sub>. 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, ''I''<sub>B</sub>. As shown in the diagram, the emitter current, ''I''<sub>E</sub>, is the total transistor current, which is the sum of the other terminal currents, (i.e., ''I''<sub>E</sub> = ''I''<sub>B</sub> + ''I''<sub>C</sub>).
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 negative [[electric charge]]. In active mode, the ratio of the collector current to the base current is called the ''DC current gain''. This gain is usually 100 or more, but robust circuit designs do not depend on the exact value (for example see [[op-amp]]). The value of this gain for DC signals is referred to as <math>h_{\text{FE}}</math>, and the value of this gain for small signals is referred to as <math>h_{\text{fe}}</math>. That is, when a small change in the currents occurs, and sufficient time has passed for the new condition to reach a steady state <math>h_{\text{fe}}</math> is the ratio of the change in collector current to the change in base current. The symbol <math>\beta</math> is used for both <math>h_{\text{FE}}</math> and <math>h_{\text{fe}}</math>.<ref>
{{cite book
|author=[[Paul Horowitz]] and [[Winfield Hill]]
|title=[[The Art of Electronics]]
|edition=2nd
|year=1989
|pages=62–66
|publisher=Cambridge University Press
|isbn=978-0-521-37095-0
}}</ref>
The emitter current is related to <math>V_{\text{BE}}</math> exponentially. At [[room temperature]], an increase in <math>V_{\text{BE}}</math> 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==
The bipolar [[point-contact transistor]] was invented in December 1947<ref>{{cite web|url=http://www.computerhistory.org/semiconductor/timeline/1947-invention.html|title=1947: Invention of the Point-Contact Transistor - The Silicon Engine - Computer History Museum|publisher=|access-date=August 10, 2016}}</ref> at the [[Bell Telephone Laboratories]] by [[John Bardeen]] and [[Walter Brattain]] under the direction of [[William Shockley]]. The junction version known as the bipolar junction transistor (BJT), invented by Shockley in 1948,<ref>{{cite web|url=http://www.computerhistory.org/semiconductor/timeline/1948-conception.html|title=1948: Conception of the Junction Transistor - The Silicon Engine - Computer History Museum|publisher=|access-date=August 10, 2016}}</ref> was for three decades the device of choice in the design of discrete and [[integrated 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 as [[bandgap voltage reference]], [[silicon bandgap temperature sensor]] and to handle [[electrostatic discharge]].
===Germanium transistors===
The [[germanium]] transistor was more common in the 1950s and 1960s, and while it exhibits a lower "cut-off" voltage, typically around 0.2 V, making it more suitable for some applications, it also has a greater tendency to exhibit [[thermal runaway]].
===Early manufacturing techniques===
Various methods of manufacturing bipolar transistors were developed.<ref>[http://hm-treasury.gov.uk/media/B/C/queen_mary_ip_research_institute_p5_043_762kb.pdf Third case study – the solid state advent] {{webarchive |url=https://web.archive.org/web/20070927032750/http://hm-treasury.gov.uk/media/B/C/queen_mary_ip_research_institute_p5_043_762kb.pdf |date=September 27, 2007 }} (PDF)</ref>
====Bipolar transistors====
* [[Point-contact transistor]] – first transistor ever constructed (December 1947), a bipolar transistor, limited commercial use due to high cost and noise.
** [[Tetrode transistor|Tetrode point-contact transistor]] – Point-contact transistor having two emitters. It became obsolete in the middle 1950s.
* Junction transistors
** [[Grown-junction transistor]]{{spaced ndash}} first bipolar ''junction'' transistor made.<ref>[http://semiconductormuseum.com/PhotoGallery/PhotoGallery_M1752.htm Transistor Museum, Historic Transistor Photo Gallery, Bell Labs Type M1752''']</ref> Invented by [[William Shockley]] at [[Bell Labs]] on June 23, 1948.<ref>{{cite book
| last = Morris
| first = Peter Robin
| title = A History of the World Semiconductor Industry
| series = IEE History of Technology Series 12
| year = 1990
| publisher = Peter Peregrinus Ltd.
| location = London
| isbn = 0-86341-227-0
| page = 29
| chapter = 4.2
}}
</ref> Patent filed on June 26, 1948.
** [[Alloy-junction transistor]]{{spaced ndash}} emitter and collector alloy beads fused to base. Developed at [[General Electric]] and [[RCA]]<ref>{{cite web|url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_TA153.htm|title=Transistor Museum Photo Gallery RCA TA153|publisher=|access-date=August 10, 2016}}</ref> in 1951.
*** [[Micro-alloy transistor]] (MAT){{spaced ndash}} high speed type of alloy junction transistor. Developed at [[Philco]].<ref>{{cite book
| title = High Speed Switching Transistor Handbook
| edition = 2nd
| year = 1963
| publisher = Motorola
| page = 17
}}[https://groups.google.com/group/sci.electronics.components/tree/browse_frm/month/2003-04/c97c04dc783ab61e?rnum=21&_done=%2Fgroup%2Fsci.electronics.components%2Fbrowse_frm%2Fmonth%2F2003-04%3F]</ref>
*** [[Micro-alloy diffused transistor]] (MADT){{spaced ndash}} high speed type of alloy junction transistor, speedier than MAT, a [[diffused-base transistor]]. Developed at [[Philco]].
*** [[Post-alloy diffused transistor]] (PADT){{spaced ndash}} high speed type of alloy junction transistor, speedier than MAT, a [[diffused-base transistor]]. Developed at [[Philips]].
** [[Tetrode transistor]]{{spaced ndash}} high speed variant of grown-junction transistor<ref>[http://semiconductormuseum.com/PhotoGallery/PhotoGallery_3N22.htm Transistor Museum, Historic Transistor Photo Gallery, Western Electric 3N22''']</ref> or alloy junction transistor<ref>[http://ieeexplore.ieee.org/iel5/16/31551/01472171.pdf?arnumber=1472171 The Tetrode Power Transistor] PDF</ref> with two connections to base.
** [[Surface-barrier transistor]]{{spaced ndash}} high-speed metal barrier junction transistor. Developed at [[Philco]]<ref>{{cite web|url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_A01.htm|title=Transistor Museum Photo Gallery Philco A01 Germanium Surface Barrier Transistor|publisher=|access-date=August 10, 2016}}</ref> in 1953.<ref>{{cite web|url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_SurfaceBarrier.htm|title=Transistor Museum Photo Gallery Germanium Surface Barrier Transistor|publisher=|access-date=August 10, 2016}}</ref>
** [[Drift-field transistor]]{{spaced ndash}} high speed bipolar junction transistor. Invented by [[Herbert Kroemer]]<ref>[http://ieeexplore.ieee.org/iel5/16/20748/00960370.pdf ''Herb’s Bipolar Transistors'' IEEE Transactions on Electron Devices, vol. 48, no. 11, November 2001] PDF</ref><ref>[http://ieeexplore.ieee.org/iel5/16/31630/01474625.pdf?isnumber=&arnumber=1474625 Influence of Mobility and Lifetime Variations on Drift-Field Effects in Silicon-Junction Devices] PDF</ref> at the Central Bureau of Telecommunications Technology of the German Postal Service, in 1953.
** [[Spacistor]]{{spaced ndash}} circa 1957.
** [[Diffusion transistor]]{{spaced ndash}} modern type bipolar junction transistor. Prototypes<ref>{{cite web|url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_Prototype_DiffusedBase.htm|title=Transistor Museum Photo Gallery Bell Labs Prototype Diffused Base Germanium Silicon Transistor|publisher=|access-date=August 10, 2016}}</ref> developed at Bell Labs in 1954.
*** [[Diffused-base transistor]]{{spaced ndash}} first implementation of diffusion transistor.
*** [[Mesa transistor]]{{spaced ndash}} Developed at [[Texas Instruments]] in 1957.
*** [[Planar transistor]]{{spaced ndash}} the bipolar junction transistor that made mass-produced monolithic [[integrated circuit]]s possible. Developed by [[Jean Hoerni]]<ref>{{cite web|url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_2N1613.htm|title=Transistor Museum Photo Gallery Fairchild 2N1613 Early Silicon Planar Transistor|publisher=|access-date=August 10, 2016}}</ref> at [[Fairchild Semiconductor|Fairchild]] in 1959.
** Epitaxial transistor<ref>{{cite web|url=http://www.computerhistory.org/semiconductor/timeline/1960-Epitaxial.html|title=1960: Epitaxial Deposition Process Enhances Transistor Performance - The Silicon Engine - Computer History Museum|publisher=|access-date=August 10, 2016}}</ref>{{spaced ndash}} a bipolar junction transistor made using vapor phase deposition. See [[epitaxy]]. Allows very precise control of doping levels and gradients.
==Theory and modeling==
[[File:NPN Band Diagram Equilibrium.svg|350x350px|thumb|[[Band diagram]] for NPN transistor at equilibrium]]
[[File:NPN Band Diagram Active.svg|thumb|348x348px|[[Band diagram]] for NPN transistor in active mode, showing injection of electrons from emitter to base, and their overshoot into the collector]]
Transistors can be thought of as two diodes ([[P–N junction]]s) 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 transistor, 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 transistor 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 transistors are used to make powerful amplifiers with many different applications. In the discussion below, focus is on the NPN bipolar transistor. In the NPN transistor in what is called active mode, the base–emitter voltage <math>V_{\text{BE}}</math> and collector–base voltage <math>V_{\text{CB}}</math> are positive, forward biasing the emitter–base junction and reverse-biasing the collector–base junction. In the active mode of operation, 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 a figure describing forward and reverse bias, see [[Diode#Semiconductor diodes|semiconductor diodes]].
===Large-signal models===
In 1954, [[Jewell James Ebers]] and [[John L. Moll]] introduced their [[mathematical model]] of transistor currents:<ref>J.J. Ebers and J.L Moll (1954) "Large-signal behavior of junction transistors", ''Proceedings of the Institute of Radio Engineers'', '''42''' (12) : 1761–1772.</ref>
====Ebers–Moll model{{Anchor|Ebers-Moll model|Ebers-Moll|Ebers–Moll}}====
[[File:Ebers-Moll model schematic (NPN).svg|frame|Ebers–Moll model for an NPN transistor.<ref>
{{cite book
| title=Microelectronic Circuits, second ed.
| author=Adel S. Sedra and Kenneth C. Smith
| isbn=0-03-007328-6
| year=1987
| page=903
}}</ref> ''I''<sub>B</sub>, ''I''<sub>C</sub> and ''I''<sub>E</sub> are the base, collector and emitter currents; ''I''<sub>CD</sub> and ''I''<sub>ED</sub> are the collector and emitter diode currents; ''α''<sub>F</sub> and ''α''<sub>R</sub> are the forward and reverse common-base current gains.]]
[[File:Ebers-Moll model schematic (PNP).svg|frame|Ebers–Moll model for a PNP transistor]]
[[File:Approximated Ebers Moll.svg|frame|Approximated Ebers–Moll model for an NPN transistor in the forward active mode. The collector diode is reverse-biased so ''I''<sub>CD</sub> is virtually zero. Most of the emitter diode current (''α''<sub>F</sub> 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:
: <math>\begin{align}
I_\text{E} &= I_\text{ES} \left(e^\frac{V_\text{BE}}{V_\text{T}} - 1\right) \\
I_\text{C} &= \alpha_F I_\text{E} \\
I_\text{B} &= \left(1 - \alpha_F\right) I_\text{E}
\end{align}</math>
The base internal current is mainly by diffusion (see [[Fick's law]]) and
: <math>J_{n\,(\text{base})} = \frac{1}{W} q D_n n_{bo} e^{\frac{V_\text{EB}}{V_\text{T}}}</math>
where
* <math>V_{\text{T}}</math> is the [[Boltzmann constant#Role in semiconductor physics: the thermal voltage|thermal voltage]] <math>kT/q</math> (approximately 26 mV at 300 K ≈ room temperature).
* <math>I_{\text{E}}</math> is the emitter current
* <math>I_{\text{C}}</math> is the collector current
* <math>\alpha_{F}</math> is the common base forward short-circuit current gain (0.98 to 0.998)
* <math>I_{\text{ES}}</math> is the reverse saturation current of the base–emitter diode (on the order of 10<sup>−15</sup> to 10<sup>−12</sup> amperes)
* <math>V_{\text{BE}}</math> is the base–emitter voltage
* <math>D_n</math> is the diffusion constant for electrons in the p-type base
* ''W'' is the base width
The <math>\alpha</math> and forward <math>\beta</math> parameters are as described previously. A reverse <math>\beta</math> 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.<ref name=Sedra>
{{cite book
|author=A.S. Sedra and K.C. Smith
|title=Microelectronic Circuits
|year= 2004
|edition=5th
|publisher=Oxford
|location=New York
|isbn=0-19-514251-9
|pages=Eqs. 4.103–4.110, p. 305
|nopp=true
}}</ref>
:<math>\begin{align}
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_R} \left(e^\frac{V_\text{BC}}{V_\text{T}} - 1\right) \right]\\
i_{\text{B}} &= I_\text{S} \left[ \frac{1}{\beta_F} \left(e^\frac{V_\text{BE}}{V_\text{T}} - 1 \right) + \frac{1}{\beta_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_F} \left(e^\frac{V_\text{BE}}{V_\text{T}} - 1\right) \right]
\end{align}</math>
where
* <math>i_\text{C}</math> is the collector current
* <math>i_\text{B}</math> is the base current
* <math>i_\text{E}</math> is the emitter current
* <math>\beta_F</math> is the forward common emitter current gain (20 to 500)
* <math>\beta_R</math> is the reverse common emitter current gain (0 to 20)
* <math>I_\text{S}</math> is the reverse saturation current (on the order of 10<sup>−15</sup> to 10<sup>−12</sup> amperes)
* <math>V_\text{T}</math> is the [[Boltzmann constant#Thermal voltage in semiconductor physics|thermal voltage]] (approximately 26 mV at 300 K ≈ room temperature).
* <math>V_\text{BE}</math> is the base–emitter voltage
* <math>V_\text{BC}</math> is the base–collector voltage
=====Base-width modulation=====
[[File:Early effect (NPN).svg|frame| Top: NPN base width for low collector-base reverse bias; Bottom: narrower NPN base width for large collector-base reverse bias. Hashed regions are [[depletion width|depleted regions]].]]
{{Main article|Early Effect}}
As the collector–base voltage (<math>V_{\text{CB}}=V_{\text{CE}}-V_{\text{BE}}</math>) 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 the "[[Early effect]]" after its discoverer [[James 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.
In the [[bipolar junction transistor#Regions of operation|forward-active region]], the Early effect modifies the collector current (<math>i_\text{C}</math>) and the forward common emitter current gain (<math>\beta_F</math>) as given by:{{Citation needed|date=November 2007}}
:<math>\begin{align}
i_\text{C} &= I_\text{S} \, e^\frac{v_\text{BE}}{V_\text{T}} \left(1 + \frac{V_\text{CE}}{V_\text{A}}\right) \\
\beta_F &= \beta_{F0} \left(1 + \frac{V_\text{CB}}{V_\text{A}}\right) \\
r_\text{o} &= \frac{V_\text{A}}{I_\text{C}}
\end{align}</math>
where:
* <math>V_\text{CE}</math> is the collector–emitter voltage
* <math>V_\text{A}</math> is the Early voltage (15 V to 150 V)
* <math>\beta_{F0}</math> is forward common-emitter current gain when <math>V_\text{CB}</math> = 0 V
* <math>r_\text{o}</math> is the output impedance
* <math>I_\text{C}</math> is the collector current
=====Punchthrough=====
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====
The [[Gummel–Poon model]]<ref>H. K. Gummel and R. C. Poon, "An integral charge control model of bipolar transistors", ''Bell Syst. Tech. J.'', vol. 49, pp. 827–852, May–June 1970</ref> 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.<ref>{{cite web|url=http://ece-www.colorado.edu/~bart/book/book/chapter5/ch5_6.htm#5_6_2|title=Bipolar Junction Transistors|publisher=|access-date=August 10, 2016}}</ref> This model also includes the dependence of transistor <math>\beta</math>-values upon the direct current levels in the transistor, which are assumed current-independent in the Ebers–Moll model.<ref name=Sedra2>
{{cite book
|author=A.S. Sedra and K.C. Smith
|title=Microelectronic Circuits
|year= 2004
|edition=5th
|publisher=Oxford
|location=New York
|isbn=0-19-514251-9
|page=509}}</ref>
===Small-signal models===
====Hybrid-pi model====
[[File:Hybrid-pi detailed model.svg|thumb|370x370px|Hybrid-pi model]]
{{Main article|hybrid-pi model}}
The hybrid-pi model is a popular [[Electronic circuit|circuit]] model used for analyzing the [[small signal]] behavior of bipolar junction and field effect [[transistors]]. Sometimes it is also called ''Giacoletto model'' because it was introduced by [[Lawrence J. Giacoletto|L.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-electrode [[capacitance]]s and other parasitic elements.
{{clear}}
====h-parameter model====
[[File:BJT h-parameters (generalised).svg|frame|Generalized h-parameter model of an NPN BJT.<br />''Replace '''x''' with '''e''', '''b''' or '''c''' for CE, CB and CC topologies respectively.'']]
Another model commonly used to analyze BJT circuits is the ''[[two-port network#Hybrid parameters (h-parameters)|h-parameter]]'' model, closely related to the [[hybrid-pi model]] and the [[admittance parameters|y-parameter]] [[two-port network#Y-parameters (admittance parameters)|two-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 behaviour, and may be used to develop further accurate models. As shown, the term, ''x'', 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; giving ''x'' to be ''e''
* ''i''<sub>i</sub>, base current (''i''<sub>b</sub>)
* ''i''<sub>o</sub>, collector current (''i''<sub>c</sub>)
* ''V''<sub>in</sub>, base-to-emitter voltage (''V''<sub>BE</sub>)
* ''V''<sub>o</sub>, collector-to-emitter voltage (''V''<sub>CE</sub>)
and the h-parameters are given by:
* ''h''<sub>ix</sub> = ''h''<sub>ie</sub>, the input impedance of the transistor (corresponding to the base resistance ''r''<sub>pi</sub>).
* ''h''<sub>rx</sub> = ''h''<sub>re</sub>, represents the dependence of the transistor's ''I''<sub>B</sub>–''V''<sub>BE</sub> curve on the value of ''V''<sub>CE</sub>. It is usually very small and is often neglected (assumed to be zero).
* ''h''<sub>fx</sub> = ''h''<sub>fe</sub>, the current-gain of the transistor. This parameter is often specified as ''h''<sub>FE</sub> or the DC current-gain (''β''<sub>DC</sub>) in datasheets.
* ''h''<sub>ox</sub> = 1/''h''<sub>oe</sub>, the output impedance of transistor. The parameter ''h''<sub>oe</sub> 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 the ''h''<sub>oe</sub> and ''h''<sub>re</sub> 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 of h<sub>FE</sub>=====
The ''h'' refers to its being an h-parameter, a set of parameters named for their origin in a ''hybrid equivalent circuit'' model. ''F'' is from ''forward current amplification'' also called the current gain. ''E'' refers to the transistor operating in a ''common emitter'' (CE) configuration. Capital letters used in the subscript indicate that h<sub>FE</sub> refers to a direct current circuit.
=== Industry models ===
{{expand section|date=January 2015}}
The Gummel–Poon SPICE model is often used, but it suffers from several limitations. These have been addressed in various more advanced models: Mextram, VBIC, HICUM, Modella.<ref>http://www.silvaco.com/content/kbase/smartspice_device_models.pdf</ref><ref name="Gildenblat2010" >{{cite book
|editor=Gennady Gildenblat
|title=Compact Modeling: Principles, Techniques and Applications
|year=2010
|publisher=Springer Science & Business Media
|isbn=978-90-481-8614-3
|at=Part II: Compact Models of Bipolar Junction Transistors, pp. 167-267 cover Mextram and HiCuM in-depth
}}</ref><ref name="Schröter2010">{{cite book
|author=Michael Schröter|title=Compact Hierarchical Bipolar Transistor Modeling with Hicum|year=2010|publisher=World Scientific|isbn=978-981-4273-21-3
}}</ref><ref>http://joerg-berkner.de/Fachartikel/pdf/2002_ICCAP_UM_Berkner_Compact_Models_4_BJTs.pdf</ref>
==Applications==
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 to [[MOSFET]]s.
The BJT is also the choice for demanding analog circuits, especially for [[very-high-frequency]] applications, such as [[radio-frequency]] circuits for wireless systems.
===High-speed digital logic===
[[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===
{{Main article|Electronic amplifier}}
The [[#Transistor parameters: alpha (α) and beta (β)|transistor parameters]] α and β characterizes the [[gain (electronics)|current 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:
* [[Common emitter]]
* [[Common base]]
* [[Common collector]]
===Temperature sensors===
{{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.<ref>{{Cite web | url=http://www.maxim-ic.com/appnotes.cfm/appnote_number/689 | title=IC Temperature Sensors Find the Hot Spots - Application Note - Maxim | date=February 21, 2002 | website=maxim-ic.com | access-date=August 10, 2016}}</ref>
===Logarithmic converters===
Because base–emitter voltage varies as the logarithm of the base–emitter and collector–emitter currents, a BJT can also be used to compute [[logarithm]]s and anti-logarithms. A diode can also perform these nonlinear functions but the transistor provides more circuit flexibility.
==Vulnerabilities==
Exposure of the transistor to [[ionizing radiation]] causes [[radiation hardening|radiation damage]]. Radiation causes a buildup of 'defects' in the base region that act as [[Carrier generation and recombination|recombination centers]]. The resulting reduction in minority carrier lifetime causes gradual loss of gain of the transistor.
Transistors have "maximum ratings", including [[power rating]]s (essentially limited by self-heating), maximum collector and base currents (both continuous/DC ratings and peak), and [[breakdown voltage]] ratings, beyond which the device may fail or at least perform badly.
In addition to normal breakdown ratings of the device, power BJTs are subject to a failure mode called [[secondary breakdown]], in which excessive current and normal imperfections in the silicon die cause portions of the silicon inside the device to become disproportionately hotter than the others. The electrical resistivity of doped silicon, like other semiconductors, has a negative [[temperature coefficient]], meaning that it conducts more current at higher temperatures. Thus, the hottest part of the die conducts the most current, causing its conductivity to increase, which then causes it to become progressively hotter again, until the device fails internally. The [[thermal runaway]] process associated with secondary breakdown, once triggered, occurs almost instantly and may catastrophically damage the transistor package.
If the emitter-base junction is reverse biased into [[avalanche breakdown|avalanche]] or [[Zener breakdown|Zener]] mode and charge flows for a short period of time, the current gain of the BJT will be permanently degraded.
==See also==
{{Portal|Electronics}}
* [[Bipolar transistor biasing]]
* [[Gummel plot]]
* [[Technology CAD]] (TCAD)
* [[KT315]]
==Notes==
{{Reflist|group=note|liststyle=lower-roman}}
==References==
{{Reflist|30em}}
==External links==
{{Commons category|Bipolar junction transistors}}
{{external links|section|date=July 2012}}
* [http://www.faqs.org/docs/electric/Semi/SEMI_4.html Lessons In Electric Circuits{{spaced ndash}} Bipolar Junction Transistors] (Note: this site shows current as a flow of electrons, rather than the [[conventional current|convention of showing it as a flow of holes]])
* [http://encyclobeamia.solarbotics.net/articles/bip_junct_trans.html EncycloBEAMia{{spaced ndash}} Bipolar Junction Transistor]
* [http://www.st-and.ac.uk/~www_pa/Scots_Guide/info/comp/active/BiPolar/bpcur.html Characteristic curves]
* [http://ux.brookdalecc.edu/fac/engtech/andy/engi242/bjt_models.pdf ENGI 242/ELEC 222: BJT Small Signal Models]
* [http://semiconductormuseum.com/HistoricTransistorTimeline_Index.htm Transistor Museum, Historic Transistor Timeline]
* [http://www.tedpavlic.com/teaching/osu/ece327/lab1_bjt/lab1_bjt_transistor_basics.pdf ECE 327: Transistor Basics] – Summarizes simple Ebers–Moll model of a bipolar transistor and gives several common BJT circuits.
* [http://www.tedpavlic.com/teaching/osu/ece327/lab7_proj/lab7_proj_procedure.pdf ECE 327: Procedures for Output Filtering Lab] – Section 4 ("Power Amplifier") discusses design of a BJT-Sziklai-pair-based class-AB current driver in detail.
* [http://nanohub.org/resources/5083 BJT Operation description] for undergraduate and first year graduate students to describe the basic principles of operation of Bipolar Junction Transistor.
{{Transistor amplifiers}}
{{Electronic components}}
{{Authority control}}
{{DEFAULTSORT:Bipolar Junction Transistor}}
[[Category:Transistor modeling]]
[[Category:Transistor types]]
[[Category:Bipolar transistors| ]]' |
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{{redirect|BJT|the Japanese language proficiency test|Business Japanese Proficiency Test|Beijing Time|China Standard Time}}
{{Float begin|side=right}}
|- align = "center"
| [[Image:BJT NPN symbol (case).svg|75px]] || NPN
|- align = "center"
| [[Image:BJT PNP symbol (case).svg|75px]] || PNP
{{Float end|caption=BJT schematic symbols}}
[[Image:Transistorer (croped).jpg|thumb|upright|Typical individual BJT packages. From top to bottom: [[TO-3]], [[TO-126]], [[TO-92]], [[Small-outline transistor|SOT-23]]]]
A '''bipolar junction transistor''' ('''bipolar transistor''' or '''BJT''') is a type of [[transistor]] that uses both [[electron]] and [[electron hole|hole]] charge carriers. In contrast, unipolar transistors, such as [[field-effect transistor]]s, only use one kind of charge carrier. For their operation, BJTs use two junctions between two [[semiconductor]] types, n-type and p-type.
BJTs are manufactured in two types, NPN and PNP, and are available as individual components, or fabricated in [[integrated circuit]]s, often in large numbers. The basic function of a BJT is to amplify current. This allows BJTs to be used as [[Electronic amplifier|amplifiers]] or switches, giving them wide applicability in electronic equipment, including computers, televisions, mobile phones, audio amplifiers, industrial control, and radio transmitters.
==Note on current direction==
By convention, the direction of current on diagrams is shown as the direction that a positive charge would move. This is called ''conventional current''. However, current in many metal conductors is due to the flow of electrons, because they carry a negative charge which moves in the opposite direction 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. The arrow on the symbol for bipolar transistors indicates the PN junction between base and emitter and points in the direction conventional current travels.
==Function==
{{technical|section|date=July 2012}}
BJTs come in two types, or polarities, known as PNP and NPN based on the [[Doping (semiconductors)|doping]] types of the three main terminal regions. An NPN transistor comprises two [[P–n junction|semiconductor junctions]] that share a thin p-doped region, and a PNP transistor comprises two semiconductor junctions that share a thin n-doped region.
[[Image:NPN BJT Basic Operation (Active).svg|thumb|942x942px|NPN BJT with forward-biased E–B junction and reverse-biased B–C junction|center]]
Charge flow in a BJT is due to [[diffusion]] of [[Charge carriers in semiconductors|charge carriers]] across a junction between two regions of different charge concentrations. The regions of a BJT are called ''emitter'', ''collector'', and ''base''.<ref group="note" >See [[point-contact transistor]] for the historical origin of these names.</ref> A discrete transistor has three leads for connection to these regions. Typically, the emitter region is heavily doped compared to the other two layers, whereas the majority charge carrier concentrations in base and collector layers are about the same (collector doping is typically ten times lighter than base doping <ref name= "hu">{{cite book | author = Chenming Calvin Hu | title = Modern Semiconductor Devices for Integrated Circuits | year = 2010 | url = http://people.eecs.berkeley.edu/~hu/Book-Chapters-and-Lecture-Slides-download.html }}</ref>). By design, most of the BJT collector current is due to the flow of charges injected from a high-concentration emitter into the base where they are [[minority carrier]]s that diffuse toward the collector, and so BJTs are classified as minority-carrier devices.
In typical operation, the base–emitter [[p-n junction|junction]] is [[p-n junction#Forward bias|forward-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 is [[p-n junction#Reverse bias|reverse-biased]]. In an NPN transistor, when positive bias is applied to the base–emitter junction, the equilibrium is disturbed between the thermally generated [[charge carrier|carriers]] and the repelling electric field of the n-doped emitter [[depletion region]]. This allows thermally excited electrons to inject from the emitter into the base region. These electrons [[diffusion|diffuse]] through the base from the region of high concentration near the emitter towards the region of low concentration near the collector. The electrons in the base are called ''[[minority carrier]]s'' because the base is doped p-type, which makes [[Electron hole|holes]] the ''[[majority carrier]]'' in the base.
To minimize the fraction of carriers that [[Carrier generation and recombination|recombine]] 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. In particular, the thickness of the base must be much less than the [[Fick's law#Example solution in one dimension: diffusion length|diffusion length]] of the electrons. The collector–base junction is reverse-biased, and so little electron injection occurs from the collector to the base, but electrons that diffuse through the base towards the collector are swept into the collector by the electric field in the depletion region of the collector–base junction. The thin ''shared'' base and asymmetric collector–emitter doping are what differentiates a bipolar transistor from two ''separate'' and oppositely biased diodes connected in series.
===Voltage, current, and charge control===
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).<ref name= "hh">{{cite book | author = [[Paul Horowitz]] and [[Winfield Hill]] | title = The Art of Electronics | edition = 2nd | year = 1989 | publisher = Cambridge University Press | isbn = 978-0-521-37095-0 | url = https://books.google.com/books?id=bkOMDgwFA28C&pg=PA113&dq=bjt+charge+current+voltage+control+inauthor:horowitz+inauthor:hill}}</ref>
The physical explanation for collector current is the concentration of minority carriers in the base region.<ref name=hh/><ref>{{cite book | title = Semiconductor Device Physics and Simulation | author = Juin Jei Liou and Jiann S. Yuan | publisher = Springer | year = 1998 | isbn = 0-306-45724-5 | url = https://books.google.com/books?id=y343FTN1TU0C&pg=PA166&dq=charge-controlled+bjt+physics}}</ref><ref>{{cite book | title = Transistor Manual | author = General Electric | edition = 6th | year = 1962 | page = 12}} "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).</ref> Due to [[low-level injection]] (in which there are much fewer excess carriers than normal majority carriers) the [[ambipolar diffusion|ambipolar transport]] rates (in which the excess majority and minority carriers flow at the same rate) is in effect determined by the excess minority carriers.
Detailed [[transistor models]] of transistor action, such as the [[Gummel–Poon model]], account for the distribution of this charge explicitly to explain transistor behaviour more exactly.<ref>{{cite book | title = Semiconductor Device Modeling with Spice | author = Paolo Antognetti and Giuseppe Massobrio | publisher = McGraw–Hill Professional | year = 1993 | isbn = 0-07-134955-3 | url = https://books.google.com/books?id=5IBYU9xrGaIC&pg=PA96&dq=gummel-poon+charge+model#PPA98,M1 }}</ref> The charge-control view easily handles [[phototransistor]]s, where minority carriers in the base region are created by the absorption of [[photon]]s, 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.
In [[analog circuit]] design, the current-control view is sometimes used because it is approximately linear. That is, the collector current is approximately <math>\beta_F</math> times the base current. Some basic circuits can be designed by assuming that the emitter–base 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 (for example, [[Ebers–Moll model|Ebers–Moll]]) model is required.<ref name=hh/> 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. For [[translinear circuit]]s, in which the exponential I–V curve is key to the operation, the transistors are usually modeled as voltage-controlled current sources whose [[transconductance]] is proportional to their collector current. In general, transistor-level circuit design is performed using [[SPICE]] or a comparable analog-circuit simulator, so model complexity is usually not of much concern to the designer.
===Turn-on, turn-off, and storage delay===
{{main|Baker clamp}}
Most bipolar transistors, and especially power transistors, have long base-storage times when they are driven into saturation; the base storage limits turn-off time in switching applications. A [[Baker clamp]] can prevent the transistor from heavily saturating, which reduces the amount of charge stored in the base and thus improves switching time.<!-- at a cost of increased V<sub>CE,sat</sub> -->
===Transistor parameters: alpha (α) and beta (β) {{Anchor|Alpha|Beta}}===
The proportion of electrons 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.
The ''[[common-emitter]] current gain'' is represented by β<sub>F</sub> or the [[Two-port network#h-parameters|h-parameter]] h<sub>FE</sub>; it is approximately the ratio of the DC collector current to the DC base current in forward-active region. It is typically greater than 50 for small-signal transistors, but can be smaller in transistors designed for high-power applications.
Another important parameter is the ''[[common-base]] current gain'', α<sub>F</sub>. 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 [[carrier generation and recombination|recombination of charge carriers]] as they cross the base region.
Alpha and beta are more precisely related by the following identities (NPN transistor):
:<math>\begin{align}
\alpha_F &= \frac{I_\text{C}}{I_\text{E}}, & \beta_F &= \frac{I_\text{C}}{I_\text{B}}, \\
\alpha_F &= \frac{\beta_F}{1 + \beta_F} & \iff \beta_F &= \frac{\alpha_F}{1 - \alpha_F}.
\end{align}</math>
==Structure==
[[File:NPN BJT (Planar) Cross-section.svg|frame|left|Simplified cross section of a planar ''NPN'' bipolar junction transistor|300x300px]]
A BJT consists of three differently [[Doping (semiconductor)|doped]] semiconductor regions: the ''emitter'' region, the ''base'' region and the ''collector'' region. These regions are, respectively, ''p'' type, ''n'' type and ''p'' type in a PNP transistor, and ''n'' type, ''p'' type and ''n'' type in an NPN transistor. Each semiconductor region is connected to a terminal, appropriately labeled: ''emitter'' (E), ''base'' (B) and ''collector'' (C).
The ''base'' is physically located between the ''emitter'' and the ''collector'' 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.
[[Image:Transistor-die-KSY34.jpg|thumb|right|200px|Die of a KSY34 high-frequency NPN transistor. Bond wires connect to the base and emitter]]
The low-performance "lateral" bipolar transistors sometimes used in [[CMOS]] processes 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 the ''emitter'' and the ''collector'' to change significantly. This effect can be used to amplify the input voltage or current. BJTs can be thought of as voltage-controlled [[current source]]s, 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 from [[germanium]] but most modern BJTs are made from [[silicon]]. A significant minority are also now made from [[gallium arsenide]], especially for very high speed applications (see HBT, below).
===NPN===
[[Image:BJT NPN symbol (case).svg|thumb|100px|The symbol of an NPN BJT. A mnemonic for the symbol is "'''n'''ot '''p'''ointing i'''n'''".]]
NPN is one of the two types of bipolar transistors, consisting of a layer of P-[[Doping (semiconductor)|doped]] semiconductor (the "base") between two N-doped layers. A small current entering the base is amplified to produce a large collector and emitter current. That is, when there is a positive potential difference measured from the base of an NPN transistor to its emitter (that is, when the base is '''high''' relative to the emitter), as well as a positive potential difference measured from the collector to the emitter, the transistor becomes active. In this "on" state, current flows from the collector to the emitter of the transistor. Most of the current is carried by electrons moving from emitter to collector as [[minority carrier]]s in the P-type base region. To allow for greater current and faster operation, most bipolar transistors used today are NPN because [[electron mobility]] is higher than [[hole mobility]].
A [[mnemonic]] device for the NPN transistor symbol is "''n''ot ''p''ointing i''n''", based on the arrows in the symbol and the letters in the name.<ref name=mnemnpn>{{cite book
| title = Essentials of electronic circuitry
| author = Alphonse J. Sistino
| publisher = CRC Press
| year = 1996
| isbn = 978-0-8247-9693-8
| pages = 64
| url = https://books.google.com/books?id=lmcHKS1lkrQC&pg=PA64&dq=%22not+pointing%22+PNP}}</ref>
===PNP===
[[Image:BJT PNP symbol (case).svg|thumb|100px|The symbol of a PNP BJT. A mnemonic for the symbol is "'''p'''oints i'''n''' '''p'''roudly".]]
The other type of BJT is the PNP, consisting of a layer of N-[[Doping (semiconductor)|doped]] semiconductor between two layers of P-doped material. A small current leaving the base is amplified in the collector output. That is, a PNP transistor is "on" when its base is pulled '''low''' relative to the emitter.
In a PNP transistor, the emitter–base region is forward biased, so holes are injected into the base as minority carriers. The base is very thin, and most of the holes cross the reverse-biased base–collector junction to the collector.
The arrows in the NPN and PNP transistor symbols indicate the PN junction between the base and emitter. When the device is in forward active or forward saturated mode, the arrow, placed on the emitter leg, points in the direction of the [[conventional current]].
A mnemonic device for the PNP transistor symbol is "''p''ointing i''n'' (''p''roudly/''p''ermanently)", based on the arrows in the symbol and the letters in the name.<ref name=mnempnp>{{cite book
| title = Essentials of electronic circuitry
| author = Alphonse J. Sistino
| publisher = CRC Press
| year = 1996
| isbn = 978-0-8247-9693-8
| pages = 102
| url = https://books.google.com/books?id=lmcHKS1lkrQC&pg=PA64&dq=%22pointing+in%22+PNP}}</ref>
===Heterojunction bipolar transistor===
[[Image:Npn heterostructure bands.svg|thumb|left|Bands in graded heterojunction NPN bipolar transistor. Barriers indicated for electrons to move from emitter to base and for holes to be injected backward from base to emitter; also, grading of bandgap in base assists electron transport in base region. Light colors indicate [[depletion region|depleted regions]]. |302x302px]]
The [[heterojunction bipolar transistor]] (HBT) is an improvement of the BJT that can handle signals of very high frequencies up to several hundred [[Hertz|GHz]]. It is common in modern ultrafast circuits, mostly [[Radio frequency|RF]] systems.<ref name=Williams>
{{cite book
|author= D.V. Morgan, Robin H. Williams (Editors)
|title=Physics and Technology of Heterojunction Devices
|year= 1991
|publisher=Institution of Electrical Engineers (Peter Peregrinus Ltd.)
|location=London
|isbn=0-86341-204-1
|url=https://books.google.com/books?id=C98iH7UDtzwC&pg=PA210&dq=%22SIGe+heterojunction%22#PPA201,M1
}}</ref><ref name="Ashburn">{{cite book
|author=Peter Ashburn
|title=SiGe Heterojunction Bipolar Transistors
|year= 2003
|pages=Chapter 10
|publisher= Wiley
|location=New York
|isbn=0-470-84838-3
|url=http://worldcat.org/isbn/0470848383
|nopp=true
}}</ref>
[[File:Diagrama de Transistor NPN.svg|thumb|224x224px|Symbol for NPN bipolar transistor with current flow direction]]
Heterojunction transistors have different semiconductors for the elements of the transistor. Usually the emitter is composed of a larger bandgap material than the base. The figure shows that this difference in bandgap allows the barrier for holes to inject backward from the base into the emitter, denoted in the figure as Δφ<sub>p</sub>, to be made large, while the barrier for electrons to inject into the base Δφ<sub>n</sub> is made low. This barrier arrangement helps reduce minority carrier injection from the base when the emitter-base junction is under forward bias, and thus reduces base current and increases emitter injection efficiency.
The improved injection of carriers into the base allows the base to have a higher doping level, resulting in lower resistance to access the base electrode. In the more traditional BJT, also referred to as homojunction BJT, the efficiency of carrier injection from the emitter to the base is primarily determined by the doping ratio between the emitter and base, which means the base must be lightly doped to obtain high injection efficiency, making its resistance relatively high. In addition, higher doping in the base can improve figures of merit like the [[Early voltage]] by lessening base narrowing.
The grading of composition in the base, for example, by progressively increasing the amount of germanium in a [[SiGe]] transistor, causes a gradient in bandgap in the neutral base, denoted in the figure by Δφ<sub>G</sub>, providing a "built-in" field that assists electron transport across the base. That [[drift transistor|drift component]] of transport aids the normal diffusive transport, increasing the frequency response of the transistor by shortening the transit time across the base.
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 by [[epitaxy]] techniques like [[Metalorganic vapour phase epitaxy|MOCVD]] and [[Molecular beam epitaxy|MBE]].
==Regions of operation==<!-- This section is linked from [[Emitter-coupled logic]] -->
{| class="wikitable" style="float:right;margin-left:1em"
! Applied voltages !! B-E junction <br>bias (NPN) !! B-C junction <br> bias (NPN) !! Mode (NPN)
|-
|E < B < C || Forward || Reverse || Forward-active
|-
|E < B > C || Forward || Forward || Saturation
|-
|E > B < C || Reverse || Reverse || Cut-off
|-
|E > B > C || Reverse || Forward || Reverse-active
|-
! Applied voltages !! B-E junction <br>bias (PNP) !! B-C junction <br> bias (PNP) !! Mode (PNP)
|-
|E < B < C || Reverse || Forward || Reverse-active
|-
|E < B > C || Reverse || Reverse || Cut-off
|-
|E > B < C || Forward || Forward || Saturation
|-
|E > B > C || Forward || Reverse || Forward-active
|}
Bipolar transistors have four distinct regions of operation, defined by BJT junction biases.
;Forward-active (or simply ''active''): 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, β<sub>F</sub>, in forward-active mode. If this is the case, the collector–emitter current is approximately [[Proportionality (mathematics)|proportional]] to the base current, but many times larger, for small base current variations.
;Reverse-active (or ''inverse-active'' or ''inverted''): 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 β<sub>F</sub> 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 of [[Transistor–transistor_logic#Implementation|bipolar 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.
;[[Avalanche breakdown]] region:
[[File:Current-Voltage relationship of BJT.png|thumb|458x458px|The relationship between <math>I_C</math>, <math>U_{CE}</math> and <math>I_B</math>]]
The modes of operation can be described in terms of the applied voltages (this description applies to NPN transistors; polarities are reversed for PNP transistors):
;Forward-active: Base higher than emitter, collector higher than base (in this mode the collector current is proportional to base current by <math>\beta_F</math>).
;Saturation: Base higher than emitter, but collector is not higher than base.
;Cut-off: Base lower than emitter, but collector is higher than base. It means the transistor is not letting conventional current go through from collector to emitter.
;Reverse-active: Base lower than emitter, collector lower than base: reverse conventional current goes through transistor.
In terms of junction biasing: (''reverse biased base–collector junction'' means V{{sub|bc}} < 0 for NPN, opposite for PNP)
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===
[[File:NPN BJT - Structure & circuit.svg|frame|right|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.) To make the transistor conduct appreciable current (on the order of 1 mA) from C to E, ''V''<sub>BE</sub> must be above a minimum value sometimes referred to as the '''cut-in voltage'''. The cut-in voltage is usually about 650 mV for silicon BJTs at [[room temperature]] but can be different depending on the type of transistor and its [[biasing (electronics)|biasing]]. This applied voltage causes the lower P-N junction to 'turn on', allowing a flow of electrons from the emitter into the base. In active mode, the electric field existing between base and collector (caused by ''V''<sub>CE</sub>) will cause the majority of these electrons to cross the upper P-N junction into the collector to form the collector current ''I''<sub>C</sub>. 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, ''I''<sub>B</sub>. As shown in the diagram, the emitter current, ''I''<sub>E</sub>, is the total transistor current, which is the sum of the other terminal currents, (i.e., ''I''<sub>E</sub> = ''I''<sub>B</sub> + ''I''<sub>C</sub>).
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 negative [[electric charge]]. In active mode, the ratio of the collector current to the base current is called the ''DC current gain''. This gain is usually 100 or more, but robust circuit designs do not depend on the exact value (for example see [[op-amp]]). The value of this gain for DC signals is referred to as <math>h_{\text{FE}}</math>, and the value of this gain for small signals is referred to as <math>h_{\text{fe}}</math>. That is, when a small change in the currents occurs, and sufficient time has passed for the new condition to reach a steady state <math>h_{\text{fe}}</math> is the ratio of the change in collector current to the change in base current. The symbol <math>\beta</math> is used for both <math>h_{\text{FE}}</math> and <math>h_{\text{fe}}</math>.<ref>
{{cite book
|author=[[Paul Horowitz]] and [[Winfield Hill]]
|title=[[The Art of Electronics]]
|edition=2nd
|year=1989
|pages=62–66
|publisher=Cambridge University Press
|isbn=978-0-521-37095-0
}}</ref>
The emitter current is related to <math>V_{\text{BE}}</math> exponentially. At [[room temperature]], an increase in <math>V_{\text{BE}}</math> 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==
The bipolar [[point-contact transistor]] was invented in December 1947<ref>{{cite web|url=http://www.computerhistory.org/semiconductor/timeline/1947-invention.html|title=1947: Invention of the Point-Contact Transistor - The Silicon Engine - Computer History Museum|publisher=|access-date=August 10, 2016}}</ref> at the [[Bell Telephone Laboratories]] by [[John Bardeen]] and [[Walter Brattain]] under the direction of [[William Shockley]]. The junction version known as the bipolar junction transistor (BJT), invented by Shockley in 1948,<ref>{{cite web|url=http://www.computerhistory.org/semiconductor/timeline/1948-conception.html|title=1948: Conception of the Junction Transistor - The Silicon Engine - Computer History Museum|publisher=|access-date=August 10, 2016}}</ref> was for three decades the device of choice in the design of discrete and [[integrated 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 as [[bandgap voltage reference]], [[silicon bandgap temperature sensor]] and to handle [[electrostatic discharge]].
===Germanium transistors===
The [[germanium]] transistor was more common in the 1950s and 1960s, and while it exhibits a lower "cut-off" voltage, typically around 0.2 V, making it more suitable for some applications, it also has a greater tendency to exhibit [[thermal runaway]].
===Early manufacturing techniques===
Various methods of manufacturing bipolar transistors were developed.<ref>[http://hm-treasury.gov.uk/media/B/C/queen_mary_ip_research_institute_p5_043_762kb.pdf Third case study – the solid state advent] {{webarchive |url=https://web.archive.org/web/20070927032750/http://hm-treasury.gov.uk/media/B/C/queen_mary_ip_research_institute_p5_043_762kb.pdf |date=September 27, 2007 }} (PDF)</ref>
====Bipolar transistors====
* [[Point-contact transistor]] – first transistor ever constructed (December 1947), a bipolar transistor, limited commercial use due to high cost and noise.
** [[Tetrode transistor|Tetrode point-contact transistor]] – Point-contact transistor having two emitters. It became obsolete in the middle 1950s.
* Junction transistors
** [[Grown-junction transistor]]{{spaced ndash}} first bipolar ''junction'' transistor made.<ref>[http://semiconductormuseum.com/PhotoGallery/PhotoGallery_M1752.htm Transistor Museum, Historic Transistor Photo Gallery, Bell Labs Type M1752''']</ref> Invented by [[William Shockley]] at [[Bell Labs]] on June 23, 1948.<ref>{{cite book
| last = Morris
| first = Peter Robin
| title = A History of the World Semiconductor Industry
| series = IEE History of Technology Series 12
| year = 1990
| publisher = Peter Peregrinus Ltd.
| location = London
| isbn = 0-86341-227-0
| page = 29
| chapter = 4.2
}}
</ref> Patent filed on June 26, 1948.
** [[Alloy-junction transistor]]{{spaced ndash}} emitter and collector alloy beads fused to base. Developed at [[General Electric]] and [[RCA]]<ref>{{cite web|url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_TA153.htm|title=Transistor Museum Photo Gallery RCA TA153|publisher=|access-date=August 10, 2016}}</ref> in 1951.
*** [[Micro-alloy transistor]] (MAT){{spaced ndash}} high speed type of alloy junction transistor. Developed at [[Philco]].<ref>{{cite book
| title = High Speed Switching Transistor Handbook
| edition = 2nd
| year = 1963
| publisher = Motorola
| page = 17
}}[https://groups.google.com/group/sci.electronics.components/tree/browse_frm/month/2003-04/c97c04dc783ab61e?rnum=21&_done=%2Fgroup%2Fsci.electronics.components%2Fbrowse_frm%2Fmonth%2F2003-04%3F]</ref>
*** [[Micro-alloy diffused transistor]] (MADT){{spaced ndash}} high speed type of alloy junction transistor, speedier than MAT, a [[diffused-base transistor]]. Developed at [[Philco]].
*** [[Post-alloy diffused transistor]] (PADT){{spaced ndash}} high speed type of alloy junction transistor, speedier than MAT, a [[diffused-base transistor]]. Developed at [[Philips]].
** [[Tetrode transistor]]{{spaced ndash}} high speed variant of grown-junction transistor<ref>[http://semiconductormuseum.com/PhotoGallery/PhotoGallery_3N22.htm Transistor Museum, Historic Transistor Photo Gallery, Western Electric 3N22''']</ref> or alloy junction transistor<ref>[http://ieeexplore.ieee.org/iel5/16/31551/01472171.pdf?arnumber=1472171 The Tetrode Power Transistor] PDF</ref> with two connections to base.
** [[Surface-barrier transistor]]{{spaced ndash}} high-speed metal barrier junction transistor. Developed at [[Philco]]<ref>{{cite web|url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_A01.htm|title=Transistor Museum Photo Gallery Philco A01 Germanium Surface Barrier Transistor|publisher=|access-date=August 10, 2016}}</ref> in 1953.<ref>{{cite web|url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_SurfaceBarrier.htm|title=Transistor Museum Photo Gallery Germanium Surface Barrier Transistor|publisher=|access-date=August 10, 2016}}</ref>
** [[Drift-field transistor]]{{spaced ndash}} high speed bipolar junction transistor. Invented by [[Herbert Kroemer]]<ref>[http://ieeexplore.ieee.org/iel5/16/20748/00960370.pdf ''Herb’s Bipolar Transistors'' IEEE Transactions on Electron Devices, vol. 48, no. 11, November 2001] PDF</ref><ref>[http://ieeexplore.ieee.org/iel5/16/31630/01474625.pdf?isnumber=&arnumber=1474625 Influence of Mobility and Lifetime Variations on Drift-Field Effects in Silicon-Junction Devices] PDF</ref> at the Central Bureau of Telecommunications Technology of the German Postal Service, in 1953.
** [[Spacistor]]{{spaced ndash}} circa 1957.
** [[Diffusion transistor]]{{spaced ndash}} modern type bipolar junction transistor. Prototypes<ref>{{cite web|url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_Prototype_DiffusedBase.htm|title=Transistor Museum Photo Gallery Bell Labs Prototype Diffused Base Germanium Silicon Transistor|publisher=|access-date=August 10, 2016}}</ref> developed at Bell Labs in 1954.
*** [[Diffused-base transistor]]{{spaced ndash}} first implementation of diffusion transistor.
*** [[Mesa transistor]]{{spaced ndash}} Developed at [[Texas Instruments]] in 1957.
*** [[Planar transistor]]{{spaced ndash}} the bipolar junction transistor that made mass-produced monolithic [[integrated circuit]]s possible. Developed by [[Jean Hoerni]]<ref>{{cite web|url=http://semiconductormuseum.com/PhotoGallery/PhotoGallery_2N1613.htm|title=Transistor Museum Photo Gallery Fairchild 2N1613 Early Silicon Planar Transistor|publisher=|access-date=August 10, 2016}}</ref> at [[Fairchild Semiconductor|Fairchild]] in 1959.
** Epitaxial transistor<ref>{{cite web|url=http://www.computerhistory.org/semiconductor/timeline/1960-Epitaxial.html|title=1960: Epitaxial Deposition Process Enhances Transistor Performance - The Silicon Engine - Computer History Museum|publisher=|access-date=August 10, 2016}}</ref>{{spaced ndash}} a bipolar junction transistor made using vapor phase deposition. See [[epitaxy]]. Allows very precise control of doping levels and gradients.
==Theory and modeling==
[[File:NPN Band Diagram Equilibrium.svg|350x350px|thumb|[[Band diagram]] for NPN transistor at equilibrium]]
[[File:NPN Band Diagram Active.svg|thumb|348x348px|[[Band diagram]] for NPN transistor in active mode, showing injection of electrons from emitter to base, and their overshoot into the collector]]
Transistors can be thought of as two diodes ([[P–N junction]]s) 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 transistor, 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 transistor 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 transistors are used to make powerful amplifiers with many different applications. In the discussion below, focus is on the NPN bipolar transistor. In the NPN transistor in what is called active mode, the base–emitter voltage <math>V_{\text{BE}}</math> and collector–base voltage <math>V_{\text{CB}}</math> are positive, forward biasing the emitter–base junction and reverse-biasing the collector–base junction. In the active mode of operation, 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 a figure describing forward and reverse bias, see [[Diode#Semiconductor diodes|semiconductor diodes]].
===Large-signal models===
In 1954, [[Jewell James Ebers]] and [[John L. Moll]] introduced their [[mathematical model]] of transistor currents:<ref>J.J. Ebers and J.L Moll (1954) "Large-signal behavior of junction transistors", ''Proceedings of the Institute of Radio Engineers'', '''42''' (12) : 1761–1772.</ref>
====Ebers–Moll model{{Anchor|Ebers-Moll model|Ebers-Moll|Ebers–Moll}}====
[[File:Ebers-Moll model schematic (NPN).svg|frame|Ebers–Moll model for an NPN transistor.<ref>
{{cite book
| title=Microelectronic Circuits, second ed.
| author=Adel S. Sedra and Kenneth C. Smith
| isbn=0-03-007328-6
| year=1987
| page=903
}}</ref> ''I''<sub>B</sub>, ''I''<sub>C</sub> and ''I''<sub>E</sub> are the base, collector and emitter currents; ''I''<sub>CD</sub> and ''I''<sub>ED</sub> are the collector and emitter diode currents; ''α''<sub>F</sub> and ''α''<sub>R</sub> are the forward and reverse common-base current gains.]]
[[File:Ebers-Moll model schematic (PNP).svg|frame|Ebers–Moll model for a PNP transistor]]
[[File:Approximated Ebers Moll.svg|frame|Approximated Ebers–Moll model for an NPN transistor in the forward active mode. The collector diode is reverse-biased so ''I''<sub>CD</sub> is virtually zero. Most of the emitter diode current (''α''<sub>F</sub> 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:
: <math>\begin{align}
I_\text{E} &= I_\text{ES} \left(e^\frac{V_\text{BE}}{V_\text{T}} - 1\right) \\
I_\text{C} &= \alpha_F I_\text{E} \\
I_\text{B} &= \left(1 - \alpha_F\right) I_\text{E}
\end{align}</math>
The base internal current is mainly by diffusion (see [[Fick's law]]) and
: <math>J_{n\,(\text{base})} = \frac{1}{W} q D_n n_{bo} e^{\frac{V_\text{EB}}{V_\text{T}}}</math>
where
* <math>V_{\text{T}}</math> is the [[Boltzmann constant#Role in semiconductor physics: the thermal voltage|thermal voltage]] <math>kT/q</math> (approximately 26 mV at 300 K ≈ room temperature).
* <math>I_{\text{E}}</math> is the emitter current
* <math>I_{\text{C}}</math> is the collector current
* <math>\alpha_{F}</math> is the common base forward short-circuit current gain (0.98 to 0.998)
* <math>I_{\text{ES}}</math> is the reverse saturation current of the base–emitter diode (on the order of 10<sup>−15</sup> to 10<sup>−12</sup> amperes)
* <math>V_{\text{BE}}</math> is the base–emitter voltage
* <math>D_n</math> is the diffusion constant for electrons in the p-type base
* ''W'' is the base width
The <math>\alpha</math> and forward <math>\beta</math> parameters are as described previously. A reverse <math>\beta</math> 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.<ref name=Sedra>
{{cite book
|author=A.S. Sedra and K.C. Smith
|title=Microelectronic Circuits
|year= 2004
|edition=5th
|publisher=Oxford
|location=New York
|isbn=0-19-514251-9
|pages=Eqs. 4.103–4.110, p. 305
|nopp=true
}}</ref>
:<math>\begin{align}
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_R} \left(e^\frac{V_\text{BC}}{V_\text{T}} - 1\right) \right]\\
i_{\text{B}} &= I_\text{S} \left[ \frac{1}{\beta_F} \left(e^\frac{V_\text{BE}}{V_\text{T}} - 1 \right) + \frac{1}{\beta_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_F} \left(e^\frac{V_\text{BE}}{V_\text{T}} - 1\right) \right]
\end{align}</math>
where
* <math>i_\text{C}</math> is the collector current
* <math>i_\text{B}</math> is the base current
* <math>i_\text{E}</math> is the emitter current
* <math>\beta_F</math> is the forward common emitter current gain (20 to 500)
* <math>\beta_R</math> is the reverse common emitter current gain (0 to 20)
* <math>I_\text{S}</math> is the reverse saturation current (on the order of 10<sup>−15</sup> to 10<sup>−12</sup> amperes)
* <math>V_\text{T}</math> is the [[Boltzmann constant#Thermal voltage in semiconductor physics|thermal voltage]] (approximately 26 mV at 300 K ≈ room temperature).
* <math>V_\text{BE}</math> is the base–emitter voltage
* <math>V_\text{BC}</math> is the base–collector voltage
=====Base-width modulation=====
[[File:Early effect (NPN).svg|frame| Top: NPN base width for low collector-base reverse bias; Bottom: narrower NPN base width for large collector-base reverse bias. Hashed regions are [[depletion width|depleted regions]].]]
{{Main article|Early Effect}}
As the collector–base voltage (<math>V_{\text{CB}}=V_{\text{CE}}-V_{\text{BE}}</math>) 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 the "[[Early effect]]" after its discoverer [[James 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.
In the [[bipolar junction transistor#Regions of operation|forward-active region]], the Early effect modifies the collector current (<math>i_\text{C}</math>) and the forward common emitter current gain (<math>\beta_F</math>) as given by:{{Citation needed|date=November 2007}}
:<math>\begin{align}
i_\text{C} &= I_\text{S} \, e^\frac{v_\text{BE}}{V_\text{T}} \left(1 + \frac{V_\text{CE}}{V_\text{A}}\right) \\
\beta_F &= \beta_{F0} \left(1 + \frac{V_\text{CB}}{V_\text{A}}\right) \\
r_\text{o} &= \frac{V_\text{A}}{I_\text{C}}
\end{align}</math>
where:
* <math>V_\text{CE}</math> is the collector–emitter voltage
* <math>V_\text{A}</math> is the Early voltage (15 V to 150 V)
* <math>\beta_{F0}</math> is forward common-emitter current gain when <math>V_\text{CB}</math> = 0 V
* <math>r_\text{o}</math> is the output impedance
* <math>I_\text{C}</math> is the collector current
=====Punchthrough=====
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====
The [[Gummel–Poon model]]<ref>H. K. Gummel and R. C. Poon, "An integral charge control model of bipolar transistors", ''Bell Syst. Tech. J.'', vol. 49, pp. 827–852, May–June 1970</ref> 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.<ref>{{cite web|url=http://ece-www.colorado.edu/~bart/book/book/chapter5/ch5_6.htm#5_6_2|title=Bipolar Junction Transistors|publisher=|access-date=August 10, 2016}}</ref> This model also includes the dependence of transistor <math>\beta</math>-values upon the direct current levels in the transistor, which are assumed current-independent in the Ebers–Moll model.<ref name=Sedra2>
{{cite book
|author=A.S. Sedra and K.C. Smith
|title=Microelectronic Circuits
|year= 2004
|edition=5th
|publisher=Oxford
|location=New York
|isbn=0-19-514251-9
|page=509}}</ref>
===Small-signal models===
====Hybrid-pi model====
[[File:Hybrid-pi detailed model.svg|thumb|370x370px|Hybrid-pi model]]
{{Main article|hybrid-pi model}}
The hybrid-pi model is a popular [[Electronic circuit|circuit]] model used for analyzing the [[small signal]] behavior of bipolar junction and field effect [[transistors]]. Sometimes it is also called ''Giacoletto model'' because it was introduced by [[Lawrence J. Giacoletto|L.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-electrode [[capacitance]]s and other parasitic elements.
{{clear}}
====h-parameter model====
[[File:BJT h-parameters (generalised).svg|frame|Generalized h-parameter model of an NPN BJT.<br />''Replace '''x''' with '''e''', '''b''' or '''c''' for CE, CB and CC topologies respectively.'']]
Another model commonly used to analyze BJT circuits is the ''[[two-port network#Hybrid parameters (h-parameters)|h-parameter]]'' model, closely related to the [[hybrid-pi model]] and the [[admittance parameters|y-parameter]] [[two-port network#Y-parameters (admittance parameters)|two-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 behaviour, and may be used to develop further accurate models. As shown, the term, ''x'', 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; giving ''x'' to be ''e''
* ''i''<sub>i</sub>, base current (''i''<sub>b</sub>)
* ''i''<sub>o</sub>, collector current (''i''<sub>c</sub>)
* ''V''<sub>in</sub>, base-to-emitter voltage (''V''<sub>BE</sub>)
* ''V''<sub>o</sub>, collector-to-emitter voltage (''V''<sub>CE</sub>)
and the h-parameters are given by:
* ''h''<sub>ix</sub> = ''h''<sub>ie</sub>, the input impedance of the transistor (corresponding to the base resistance ''r''<sub>pi</sub>).
* ''h''<sub>rx</sub> = ''h''<sub>re</sub>, represents the dependence of the transistor's ''I''<sub>B</sub>–''V''<sub>BE</sub> curve on the value of ''V''<sub>CE</sub>. It is usually very small and is often neglected (assumed to be zero).
* ''h''<sub>fx</sub> = ''h''<sub>fe</sub>, the current-gain of the transistor. This parameter is often specified as ''h''<sub>FE</sub> or the DC current-gain (''β''<sub>DC</sub>) in datasheets.
* ''h''<sub>ox</sub> = 1/''h''<sub>oe</sub>, the output impedance of transistor. The parameter ''h''<sub>oe</sub> 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 the ''h''<sub>oe</sub> and ''h''<sub>re</sub> 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 of h<sub>FE</sub>=====
The ''h'' refers to its being an h-parameter, a set of parameters named for their origin in a ''hybrid equivalent circuit'' model. ''F'' is from ''forward current amplification'' also called the current gain. ''E'' refers to the transistor operating in a ''common emitter'' (CE) configuration. Capital letters used in the subscript indicate that h<sub>FE</sub> refers to a direct current circuit.
=== Industry models ===
{{expand section|date=January 2015}}
The Gummel–Poon SPICE model is often used, but it suffers from several limitations. These have been addressed in various more advanced models: Mextram, VBIC, HICUM, Modella.<ref>http://www.silvaco.com/content/kbase/smartspice_device_models.pdf</ref><ref name="Gildenblat2010" >{{cite book
|editor=Gennady Gildenblat
|title=Compact Modeling: Principles, Techniques and Applications
|year=2010
|publisher=Springer Science & Business Media
|isbn=978-90-481-8614-3
|at=Part II: Compact Models of Bipolar Junction Transistors, pp. 167-267 cover Mextram and HiCuM in-depth
}}</ref><ref name="Schröter2010">{{cite book
|author=Michael Schröter|title=Compact Hierarchical Bipolar Transistor Modeling with Hicum|year=2010|publisher=World Scientific|isbn=978-981-4273-21-3
}}</ref><ref>http://joerg-berkner.de/Fachartikel/pdf/2002_ICCAP_UM_Berkner_Compact_Models_4_BJTs.pdf</ref>
==Applications==
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 to [[MOSFET]]s.
The BJT is also the choice for demanding analog circuits, especially for [[very-high-frequency]] applications, such as [[radio-frequency]] circuits for wireless systems.
===High-speed digital logic===
[[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===
{{Main article|Electronic amplifier}}
The [[#Transistor parameters: alpha (α) and beta (β)|transistor parameters]] α and β characterizes the [[gain (electronics)|current 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:
* [[Common emitter]]
* [[Common base]]
* [[Common collector]]
===Temperature sensors===
{{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.<ref>{{Cite web | url=http://www.maxim-ic.com/appnotes.cfm/appnote_number/689 | title=IC Temperature Sensors Find the Hot Spots - Application Note - Maxim | date=February 21, 2002 | website=maxim-ic.com | access-date=August 10, 2016}}</ref>
===Logarithmic converters===
Because base–emitter voltage varies as the logarithm of the base–emitter and collector–emitter currents, a BJT can also be used to compute [[logarithm]]s and anti-logarithms. A diode can also perform these nonlinear functions but the transistor provides more circuit flexibility.
==Vulnerabilities==
Exposure of the transistor to [[ionizing radiation]] causes [[radiation hardening|radiation damage]]. Radiation causes a buildup of 'defects' in the base region that act as [[Carrier generation and recombination|recombination centers]]. The resulting reduction in minority carrier lifetime causes gradual loss of gain of the transistor.
Transistors have "maximum ratings", including [[power rating]]s (essentially limited by self-heating), maximum collector and base currents (both continuous/DC ratings and peak), and [[breakdown voltage]] ratings, beyond which the device may fail or at least perform badly.
In addition to normal breakdown ratings of the device, power BJTs are subject to a failure mode called [[secondary breakdown]], in which excessive current and normal imperfections in the silicon die cause portions of the silicon inside the device to become disproportionately hotter than the others. The electrical resistivity of doped silicon, like other semiconductors, has a negative [[temperature coefficient]], meaning that it conducts more current at higher temperatures. Thus, the hottest part of the die conducts the most current, causing its conductivity to increase, which then causes it to become progressively hotter again, until the device fails internally. The [[thermal runaway]] process associated with secondary breakdown, once triggered, occurs almost instantly and may catastrophically damage the transistor package.
If the emitter-base junction is reverse biased into [[avalanche breakdown|avalanche]] or [[Zener breakdown|Zener]] mode and charge flows for a short period of time, the current gain of the BJT will be permanently degraded.
==See also==
{{Portal|Electronics}}
* [[Bipolar transistor biasing]]
* [[Gummel plot]]
* [[Technology CAD]] (TCAD)
* [[KT315]]
==Notes==
{{Reflist|group=note|liststyle=lower-roman}}
==References==
{{Reflist|30em}}
==External links==
{{Commons category|Bipolar junction transistors}}
{{external links|section|date=July 2012}}
* [http://www.faqs.org/docs/electric/Semi/SEMI_4.html Lessons In Electric Circuits{{spaced ndash}} Bipolar Junction Transistors] (Note: this site shows current as a flow of electrons, rather than the [[conventional current|convention of showing it as a flow of holes]])
* [http://encyclobeamia.solarbotics.net/articles/bip_junct_trans.html EncycloBEAMia{{spaced ndash}} Bipolar Junction Transistor]
* [http://www.st-and.ac.uk/~www_pa/Scots_Guide/info/comp/active/BiPolar/bpcur.html Characteristic curves]
* [http://ux.brookdalecc.edu/fac/engtech/andy/engi242/bjt_models.pdf ENGI 242/ELEC 222: BJT Small Signal Models]
* [http://semiconductormuseum.com/HistoricTransistorTimeline_Index.htm Transistor Museum, Historic Transistor Timeline]
* [http://www.tedpavlic.com/teaching/osu/ece327/lab1_bjt/lab1_bjt_transistor_basics.pdf ECE 327: Transistor Basics] – Summarizes simple Ebers–Moll model of a bipolar transistor and gives several common BJT circuits.
* [http://www.tedpavlic.com/teaching/osu/ece327/lab7_proj/lab7_proj_procedure.pdf ECE 327: Procedures for Output Filtering Lab] – Section 4 ("Power Amplifier") discusses design of a BJT-Sziklai-pair-based class-AB current driver in detail.
* [http://nanohub.org/resources/5083 BJT Operation description] for undergraduate and first year graduate students to describe the basic principles of operation of Bipolar Junction Transistor.
{{Transistor amplifiers}}
{{Electronic components}}
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