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p–n diode

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diode the forward current increases exponentially with forward bias voltage due to the exponential increase in carrier densities, so there is always some current at even very small values of applied voltage. However, if one is interested in some particular current level, it will require a "knee"
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The gradient driving the diffusion is then the difference between the large excess minority carrier densities at the barrier and the low densities in the bulk, and that gradient drives diffusion of minority carriers from the interface into the bulk. The injected minority carriers are reduced in
3970:. In any event, in reverse bias the diode resistance becomes quite large, although not infinite as the ideal diode law suggests, and the assumption that it is less than the Norton resistance of the driver may not be accurate. The junction capacitance is small and depends upon the reverse bias 3290: 2035:
When the reverse bias is applied, the electric field in the depletion region is increased, pulling the electrons and holes further apart than in the zero bias case. Thus, any current that flows is due to the very weak process of carrier generation inside the depletion region due to
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Because this barrier is located in the oppositely doped material, the injected carriers at the barrier position are now minority carriers. As recombination takes hold, the minority carrier densities drop with depth to their equilibrium values for bulk minority carriers, a factor
218:). Above this voltage the slope of the current-voltage curve is not infinite (on-resistance is not zero). In the reverse direction the diode conducts a nonzero leakage current (exaggerated by a smaller scale in the figure) and at a sufficiently large reverse voltage below the 1538: 3390: 342: 3718: 2492: 670:(dashed horizontal straight line) is situated at a constant level. This level ensures that in the field-free bulk on both sides of the junction the hole and electron occupancies are correct. (So, for example, it is not necessary for an electron to leave the 4096: 2167: 964: 1048:
charges due to dopant ions. The near absence of mobile charge in the depletion layer means that the mobile charges present are insufficient to balance the immobile charge contributed by the dopant ions: a negative charge on the
2923: 2698: 1574:, recombination of electrons and holes is accompanied by emission of light of a wavelength related to the energy gap between valence and conduction bands, so the diode converts a portion of the forward current into light. 1890:). Above the knee, the current continues to increase exponentially. Some special diodes, such as some varactors, are designed deliberately to maintain a low current level up to some knee voltage in the forward direction. 1261:
side. The gradient driving this transfer is set up as follows: in the bulk distant from the interface, minority carriers have a very low concentration compared to majority carriers, for example, electron density on the
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diode. The figure assumes recombination is confined to the regions where majority carrier concentration is near the bulk values, which is not accurate when recombination-generation centers in the field region play a
3164: 1709: 4357: 2857: 118:-type semiconducting layer. Semiconductor diodes have multiple uses including rectification of alternating current to direct current, in the detection of radio signals, and emitting and detecting light. 3545:{\displaystyle {\frac {V_{\text{O}}}{I_{\text{S}}}}={\frac {(R_{\text{S}}{\mathit {\parallel }}r_{\text{D}})}{1+j\omega (C_{\text{D}}+C_{\text{J}})(R_{\text{S}}{\mathit {\parallel }}r_{\text{D}})}}\ ,} 1411: 853: 611:
discontinuity at the plane where they encounter each other. The objective is to explain the various bias regimes in the figure displaying current-voltage characteristics. Operation is described using
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that show how the lowest conduction band energy and the highest valence band energy vary with position inside the diode under various bias conditions. For additional discussion, see the articles
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so the two bulk occupancy levels are separated again by an energy determined by the applied voltage. As shown in the diagram, this behavior means the step in band edges is increased to
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diode; that is, the band edges for the conduction band (upper line) and the valence band (lower line) are shown as a function of position on both sides of the junction between the
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and the capacitance is accordingly decreased. Thus, the junction serves as a voltage-controllable capacitor. In a simplified one-dimensional model, the junction capacitance is:
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exists expressing the change in minority carrier charge that occurs with a change in forward bias. In terms of the stored minority carrier charge, the diode current is:
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semiconductor diodes, both adapted to increase the voltage the devices can withstand in reverse bias. The top structure uses a mesa to avoid a sharp curvature of the
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that vary with position. As shown in the figure, the electron quasi-Fermi level shifts with position, from the half-occupancy equilibrium Fermi level in the
1566: 3055:{\displaystyle C_{\text{D}}={\frac {dQ_{\text{D}}}{dv_{\text{D}}}}=\tau {\frac {di_{\text{D}}}{dv_{\text{D}}}}={\frac {i_{\text{D}}\tau }{V_{\text{T}}}}\ .} 885: 4361: 1577:
Under forward bias, the half-occupancy lines for holes and electrons cannot remain flat throughout the device as they are when in equilibrium, but become
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When the reverse bias becomes very large, reaching the breakdown voltage, the generation process in the depletion region accelerates leading to an
551: 3285:{\displaystyle I_{\text{S}}=\left(j\omega (C_{\text{J}}+C_{\text{D}})+{\frac {1}{r_{\text{D}}}}+{\frac {1}{R_{\text{S}}}}\right)V_{\text{O}}\ ,} 1643: 1564:, and this lifetime in turn limits how far they can diffuse from the majority carrier side into the minority carrier side, the so-called 2593:
with a dielectric spacer between the contacts. In reverse bias the width of the depletion layer is widened with increasing reverse bias
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A forward bias separates the two bulk half-occupancy levels by the amount of the applied voltage, which lowers the separation of the
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The reduced step in band edges also means that under forward bias the depletion region narrows as holes are pushed into it from the
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bulk. The hole quasi-Fermi level does the reverse. The two quasi-Fermi levels do not coincide except deep in the bulk materials.
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In this band configuration no voltage is applied and no current flows through the diode. To force current through the diode a
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of the insulating region depleted of mobile carriers increases with increasing diode reverse bias, reducing the capacitance.
3713:{\displaystyle f_{\text{c}}={\frac {1}{2\pi (C_{\text{D}}+C_{\text{J}})(R_{\text{S}}{\mathit {\parallel }}r_{\text{D}})}}\ ,} 3065:
Generally speaking, for usual current levels in forward bias, this capacitance far exceeds the depletion-layer capacitance.
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In forward bias, besides the above depletion-layer capacitance, minority carrier charge injection and diffusion occurs. A
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diode serves as an insulating region that separates the two diode contacts. Thus, the diode in reverse bias exhibits a
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The semiconductor diode is not ideal. As shown in the figure, the diode does not conduct appreciably until a nonzero
3829: 2487:{\displaystyle r_{\text{D}}={\frac {1}{di_{\text{D}}/dv_{\text{D}}}}\approx {\frac {nV_{\text{T}}}{i_{\text{D}}}},} 1867:
as majority carriers before injection. At this point the quasi-Fermi levels rejoin the bulk Fermi level positions.
1355: 1057:-type side due to donor dopant. Because of this charge there is an electric field in this region, as determined by 3789: 2326: 1887: 215: 1824: 1597: 4091:{\displaystyle f_{\text{c}}={\frac {1}{2\pi \,C_{\text{J}}(R_{\text{S}}{\mathit {\parallel }}r_{\text{D}})}}\ ,} 666:-type region of the same semiconductor are brought together and the two diode contacts are short-circuited, the 4382: 496: 492: 3096:
point (or Q-point) about which the signal is imagined to vary. The equivalent circuit for a diode driven by a
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The diode is a highly non-linear device, but for small-signal variations its response can be analyzed using a
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Recombination can occur by direct encounter with a majority carrier, annihilating both carriers, or through a
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near the junction becomes depleted of both holes and electrons, forming an insulating region with almost no
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This equation does not model the non-ideal behavior such as excess reverse leakage or breakdown phenomena.
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layer to spread the voltage out over a larger distance and reduce the electric field. (Superscripts like
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in this region. That very small current is the source of the leakage current under reverse bias. In the
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side (where they are majority carriers). On the other hand, near the interface, application of voltage
2746: 616: 4104: 17: 863:(room temperature), the thermal voltage is approximately 25 mV. Similarly, hole density on the 3973: 3759: 2590: 1954: 1741: 3938: 3580: 3352: 3325: 3298: 3130: 3103: 2865: 2596: 2531: 2504: 2295: 2238: 2207: 2178: 1325: 1212: 999: 972: 770: 377: 350: 4322: 2070: 2060: 485: 2162:{\displaystyle I_{\text{D}}=I_{\text{R}}\left(e^{\frac {V_{\text{D}}}{nV_{\text{T}}}}-1\right),} 4286: 4267: 1594:
The figure shows the majority carrier densities drop from the majority carrier density levels
1209:(The band bending diagram is made in units of volts, so no electron charge appears to convert 4238: 4180: 2799: 2726: 1058: 2913:, the time taken for the minority charge to transit the injection region, typically 0.1–100 1166:-type. As shown in the diagram, the step in band edges is reduced by the applied voltage to 875:-side. This reciprocal reduction in minority carrier density across the junction forces the 2892: 1935:
In reverse bias the occupancy level for holes again tends to stay at the level of the bulk
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the depletion width (thickness of the region where mobile carrier density is negligible).
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voltage before that current level is reached (~0.7 V for silicon diodes, others listed at
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resistances are the reciprocal slopes of the current-voltage characteristic at a selected
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Naturally, this voltage depends upon the selected current level. This voltage for the
1939:-type semiconductor while the occupancy level for electrons follows that for the bulk 959:{\displaystyle p\,n=p_{\text{B}}\,n_{\text{B}}\,e^{-\varphi _{\text{B}}/V_{\text{T}}}} 607:
diode is considered. By "abrupt", it is meant that the p- and n-type doping exhibit a
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introduced to model a slower rate of increase than predicted by the ideal diode law.
4151: 3573: 2693:{\displaystyle C_{\text{J}}=\kappa \varepsilon _{0}{\frac {A}{w(v_{\text{R}})}}\ ,} 1560: 1350: 1061:. The width of the depletion region adjusts so the negative acceptor charge on the 1036: 868: 705: 593: 583: 107: 64: 31: 4156: 1069:-side, so there is no electric field outside the depletion region on either side. 35: 4377: 3073: 2286: 1147:
carriers. The same descriptors apply to holes: they are majority carriers on the
110:. The diode conducts current in only one direction, and it is made by joining a 3756:
the gain rolls off with frequency as the capacitors short-circuit the resistor
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smaller at the top of the barrier, which is reduced from the equilibrium value
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flows (that is a current driven by a concentration gradient) of holes from the
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the expressions found above for the diode resistance and capacitance provide:
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Mesa diode structure (top) and planar diode structure with guard-ring (bottom)
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reduces the step in band edges and increases minority carrier densities by a
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all at that Q-point. The output voltage provided by this circuit is then:
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In forward bias, the positive terminal of the battery is connected to the
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exhibiting a lower resistance the higher the current. Note: to refer to
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and the depletion region widens as holes are pulled away from it on the
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mechanisms that drive the excess concentrations toward the bulk values.
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the current increases very rapidly with more negative reverse voltages.
4284: 4215:(4th ed.). Oxford University Press. p. 134 & Figure 3.8. 2914: 2041: 1903: 499: in this section. Unsourced material may be challenged and removed. 157: 693:-type side, forming a step (or barrier) in the band edges, labeled by 3349:
the diode junction capacitance (the depletion layer capacitance) and
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bulk, to the half-occupancy equilibrium level for holes deep in the
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diode in forward bias. Diffusion drives carriers across the junction.
192: 2235:, the current that flows when the diode is reverse biased (that is, 1704:{\displaystyle e^{-(\varphi _{\text{B}}-v_{\text{D}})/V_{\text{T}}}} 474: 2564: 2889:
is the charge associated with diffusion of minority carriers, and
1053:-type side due to acceptor dopant and as a positive charge on the 3093: 1888:
Diode § Forward threshold voltage for various semiconductors
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Diode § Forward threshold voltage for various semiconductors
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is the current change corresponding to the diode voltage change
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is reached, whose value depends on the semiconductor (listed in
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which relates the corner frequency to the diode transit time.
689:-type side to move higher than the corresponding bands on the 642:
diode at zero applied voltage. The depletion region is shaded.
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The figure shows two of the many possible structures used for
2852:{\displaystyle i_{\text{D}}={\frac {Q_{\text{D}}}{\tau }}\ ,} 1162:-type bulk band edges to be closer in energy to those of the 1119:-type material and the negative terminal is connected to the 4358:
Creative Commons Attribution-ShareAlike 3.0 Unported License
678:-side through the short circuit to adjust the occupancies.) 3786:
Assuming, as is the case when the diode is turned on, that
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side, and of electrons in the opposite direction from the
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condition which can cause runaway and destroy the diode.
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carriers on that side, but electrons that make it to the
848:{\displaystyle V_{\text{T}}={\tfrac {k_{\text{B}}T}{q}}.} 4269:
Mosfet modeling for VLSI simulation: theory and practice
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in their respective bulk materials, to a level a factor
1065:-side exactly balances the positive donor charge on the 969:
at any position within the diode at equilibrium. Where
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or time-varying diode current and voltage, lowercase
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product is increased above the equilibrium value to:
1358: 1328: 1311:{\displaystyle e^{-\varphi _{\text{B}}/V_{\text{T}}}} 1272: 1266:-side (where they are minority carriers) is a factor 1215: 1172: 1002: 975: 888: 804: 773: 752:{\displaystyle e^{-\varphi _{\text{B}}/V_{\text{T}}}} 713: 437: 407: 380: 353: 246: 154:
refer to heavier or lighter impurity doping levels.)
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the relative semiconductor dielectric permittivity,
4319:diode operated in reverse bias. See, for example, 4211:AS Sedra and KF Smith (1998). "Chapter 3: Diodes". 1123:-type material so that holes are injected into the 542:
may be too technical for most readers to understand
4236: 4129: 4090: 3992: 3954: 3921: 3861: 3818: 3778: 3748: 3712: 3596: 3544: 3368: 3341: 3314: 3284: 3146: 3119: 3081:diode driven by a current signal represented as a 3054: 2901: 2881: 2851: 2786: 2762: 2735: 2715: 2692: 2612: 2547: 2520: 2486: 2359: 2311: 2276: 2254: 2223: 2194: 2161: 2016: 1973: 1859: 1813: 1760: 1730: 1703: 1632: 1532: 1393: 1341: 1310: 1228: 1201: 1015: 988: 958: 847: 786: 751: 454: 423: 393: 366: 336: 142:guard-ring at the edge of the sharp corner of the 4209:diode is taken variously as 0.7 V and 0.5 V; see 2017:{\displaystyle \varphi _{\text{B}}+v_{\text{R}},} 1947:-type bulk band edges are raised relative to the 1202:{\displaystyle \varphi _{\text{B}}-v_{\text{D}}.} 138:layer. The bottom structure uses a lightly doped 4369: 4285:Jean-Pierre Colinge, Cynthia A. Colinge (2002). 1401:above the bulk values. Within the junction, the 4101:and varies with reverse bias because the width 1023:are the bulk majority carrier densities on the 700:. This step forces the electron density on the 592:An abrupt (i.e. behaving like a step function) 27:Semiconductor diode based upon the p–n junction 646:The figure shows a band bending diagram for a 4329:(2nd ed.). Technical Publications Pune. 3862:{\displaystyle R_{\text{S}}\gg r_{\text{D}},} 2065:The DC current-voltage behavior of the ideal 1394:{\displaystyle e^{v_{\text{D}}/V_{\text{T}}}} 4348:This article incorporates material from the 4265: 4178: 3819:{\displaystyle C_{\text{D}}\gg C_{\text{J}}} 2360:{\displaystyle {\tfrac {k_{\text{B}}T}{q}},} 182:The ideal diode has zero resistance for the 1860:{\displaystyle (n_{\text{B}},p_{\text{B}})} 1633:{\displaystyle (n_{\text{B}},p_{\text{B}})} 4323:"§5.8.1 Varactor diode: Working principle" 4230: 1034:As a result of this step in band edges, a 4320: 4174: 4172: 4035: 1451: 1440: 1418: 1151:-type side, and minority carriers on the 920: 909: 892: 570:Learn how and when to remove this message 554:, without removing the technical details. 515:Learn how and when to remove this message 448: 3072: 1919: 1907: 1738:by the amount of the forward diode bias 1106:and carrier densities in forward biased 1098: 1083: 630: 587: 169: 156: 4305: 4291:(2nd ed.). Springer. p. 149. 4239:"§2.1.1: Diodes: Operational principle" 4185:(2nd ed.). CRC Press. p. 78. 1544:number as they travel into the bulk by 14: 4370: 4169: 1127:-type material and electrons into the 165: 4199: 3935:For diodes operated in reverse bias, 3068: 2367:approximately equal to 25 mV at 1131:-type material. The electrons in the 552:make it understandable to non-experts 178:diode current-voltage characteristics 4259: 1076:must be applied, as described next. 879:-product of carrier densities to be 658:-type material (right side). When a 526: 497:adding citations to reliable sources 468: 4243:RF and Microwave Transmitter Design 3092:based upon a selected quiescent DC 2202:is the DC voltage across the diode. 1731:{\displaystyle \varphi _{\text{B}}} 654:-type material (left side) and the 424:{\displaystyle \Delta v_{\text{D}}} 24: 4245:. J Wiley & Sons. p. 59. 2585:, sometimes more vaguely called a 1821:smaller than their bulk densities 603:Here, the operation of the abrupt 455:{\displaystyle V_{\text{bias}}\,.} 408: 282: 267: 25: 4394: 4272:. World Scientific. p. 539. 3749:{\displaystyle f\gg f_{\text{c}}} 3322:the diode diffusion capacitance, 114:-type semiconducting layer to an 36:Diode § Semiconductor diodes 4288:Physics of semiconductor devices 2763:{\displaystyle \varepsilon _{0}} 2569:The depletion layer between the 2038:generation-recombination defects 531: 473: 88: 4356:", which is licensed under the 4327:Microwave and Radar Engineering 4130:{\displaystyle w(v_{\text{R}})} 4000:The cutoff frequency is then: 2382:Using this equation, the diode 1951:-type bulk by the reverse bias 1893: 1079: 484:needs additional citations for 4124: 4111: 4076: 4046: 3698: 3668: 3665: 3639: 3530: 3500: 3497: 3471: 3454: 3424: 3218: 3192: 2678: 2665: 2558: 1854: 1828: 1681: 1655: 1627: 1601: 13: 1: 3993:{\displaystyle v_{\text{R}}.} 3779:{\displaystyle r_{\text{D}}.} 1974:{\displaystyle v_{\text{R}},} 1874:-side and electrons from the 1761:{\displaystyle v_{\text{D}}.} 1044:charges. There are, however, 134:region next to the adjoining 4157:Diode § Semiconductor diodes 3955:{\displaystyle C_{\text{D}}} 3597:{\displaystyle f_{\text{c}}} 3369:{\displaystyle r_{\text{D}}} 3342:{\displaystyle C_{\text{J}}} 3315:{\displaystyle C_{\text{D}}} 3147:{\displaystyle R_{\text{S}}} 3120:{\displaystyle I_{\text{S}}} 2882:{\displaystyle Q_{\text{D}}} 2613:{\displaystyle v_{\text{R}}} 2548:{\displaystyle v_{\text{D}}} 2521:{\displaystyle i_{\text{D}}} 2312:{\displaystyle V_{\text{T}}} 2255:{\displaystyle V_{\text{D}}} 2224:{\displaystyle I_{\text{R}}} 2195:{\displaystyle V_{\text{D}}} 2054: 1342:{\displaystyle v_{\text{D}}} 1229:{\displaystyle v_{\text{D}}} 1016:{\displaystyle n_{\text{B}}} 989:{\displaystyle p_{\text{B}}} 787:{\displaystyle V_{\text{T}}} 626: 464: 394:{\displaystyle i_{\text{D}}} 367:{\displaystyle r_{\text{D}}} 225:As shown in the figure, the 121: 7: 4237:Andrei Grebennikov (2011). 4140: 2583:depletion-layer capacitance 2028:-side and electrons on the 10: 4399: 2562: 2233:reverse saturation current 2058: 1897: 1135:-type material are called 685:requires the bands on the 668:Fermi half-occupancy level 581: 29: 3565:transresistance amplifier 3077:Small-signal circuit for 2069:diode is governed by the 1943:-type. In this case, the 87: 80: 70: 55: 45: 4213:Microelectronic circuits 4162: 2591:parallel plate capacitor 1554:recombination-generation 674:-side and travel to the 188:reverse voltage polarity 3156:Kirchhoff's current law 2736:{\displaystyle \kappa } 2262:is large and negative). 2071:Shockley diode equation 2061:Shockley diode equation 72:Pin configuration  4131: 4092: 3994: 3956: 3923: 3863: 3820: 3780: 3750: 3714: 3598: 3546: 3370: 3343: 3316: 3286: 3148: 3121: 3085: 3056: 2903: 2883: 2853: 2788: 2764: 2737: 2717: 2694: 2614: 2549: 2522: 2488: 2361: 2313: 2278: 2256: 2225: 2196: 2163: 2018: 1975: 1932: 1917: 1861: 1815: 1762: 1732: 1705: 1634: 1534: 1395: 1343: 1312: 1239:Under forward bias, a 1230: 1203: 1143:-type side are called 1112: 1096: 1017: 990: 960: 849: 788: 753: 643: 600: 456: 425: 395: 374:is the resistance and 368: 338: 179: 162: 4383:Semiconductor devices 4266:Narain Arora (2007). 4182:Semiconductor Devices 4179:John Sparkes (1994). 4132: 4093: 3995: 3966:often is replaced by 3962:is zero and the term 3957: 3924: 3864: 3821: 3781: 3751: 3715: 3599: 3547: 3371: 3344: 3317: 3287: 3149: 3122: 3076: 3057: 2904: 2902:{\displaystyle \tau } 2884: 2854: 2800:diffusion capacitance 2789: 2765: 2738: 2718: 2695: 2615: 2550: 2523: 2489: 2362: 2314: 2279: 2257: 2226: 2197: 2164: 2019: 1976: 1923: 1916:diode in reverse bias 1911: 1862: 1816: 1763: 1733: 1706: 1635: 1535: 1396: 1344: 1313: 1231: 1204: 1102: 1087: 1031:-side, respectively. 1018: 991: 961: 850: 789: 754: 634: 613:band-bending diagrams 596:diode made by doping 591: 457: 426: 396: 369: 339: 184:forward bias polarity 173: 160: 4105: 4007: 3974: 3939: 3876: 3830: 3790: 3760: 3727: 3723:and for frequencies 3611: 3581: 3391: 3353: 3326: 3299: 3165: 3158:at the output node: 3131: 3104: 3090:small-signal circuit 2924: 2893: 2866: 2810: 2778: 2747: 2727: 2707: 2627: 2597: 2587:junction capacitance 2532: 2505: 2393: 2327: 2296: 2268: 2239: 2208: 2179: 2080: 1985: 1955: 1825: 1773: 1742: 1715: 1644: 1598: 1572:light-emitting diode 1412: 1356: 1326: 1270: 1213: 1170: 1089:Band-bending diagram 1000: 973: 886: 871:smaller than on the 802: 771: 767:-region. The symbol 759:smaller than on the 711: 636:Band-bending diagram 493:improve this article 435: 405: 378: 351: 244: 193:electrical rectifier 76:A: Anode, K: Cathode 4354:Semiconductor diode 3561:parallel resistance 166:Electrical behavior 104:semiconductor diode 42: 4360:but not under the 4321:V.S.Bagad (2009). 4127: 4088: 3990: 3952: 3919: 3859: 3816: 3776: 3746: 3710: 3594: 3542: 3366: 3339: 3312: 3282: 3144: 3117: 3086: 3069:Transient response 3052: 2899: 2879: 2849: 2784: 2760: 2733: 2713: 2690: 2610: 2545: 2518: 2484: 2357: 2352: 2309: 2274: 2252: 2221: 2192: 2159: 2014: 1971: 1933: 1927:in reverse-biased 1925:Quasi-Fermi levels 1918: 1857: 1811: 1758: 1728: 1701: 1630: 1580:quasi-Fermi levels 1530: 1391: 1339: 1318:lower than on the 1308: 1226: 1199: 1113: 1104:Quasi-Fermi levels 1097: 1059:Poisson's equation 1013: 986: 956: 845: 840: 784: 749: 644: 601: 452: 421: 391: 364: 334: 212:threshold voltage) 180: 163: 40: 4336:978-81-8431-121-1 4279:978-981-256-862-5 4252:978-0-470-52099-4 4121: 4084: 4080: 4073: 4056: 4043: 4017: 3984: 3949: 3915: 3911: 3886: 3853: 3840: 3813: 3800: 3770: 3743: 3706: 3702: 3695: 3678: 3662: 3649: 3621: 3591: 3538: 3534: 3527: 3510: 3494: 3481: 3451: 3434: 3416: 3413: 3403: 3363: 3336: 3309: 3278: 3273: 3259: 3256: 3239: 3236: 3215: 3202: 3175: 3141: 3114: 3048: 3044: 3041: 3027: 3012: 3008: 2993: 2972: 2968: 2953: 2934: 2876: 2845: 2841: 2835: 2820: 2787:{\displaystyle w} 2772:electric constant 2723:the device area, 2716:{\displaystyle A} 2686: 2682: 2675: 2637: 2607: 2589:, analogous to a 2542: 2515: 2479: 2476: 2465: 2447: 2443: 2425: 2403: 2351: 2341: 2306: 2277:{\displaystyle n} 2249: 2218: 2189: 2142: 2138: 2124: 2103: 2090: 2008: 1995: 1965: 1912:Band-bending for 1851: 1838: 1806: 1791: 1752: 1725: 1696: 1678: 1665: 1624: 1611: 1526: 1519: 1504: 1482: 1467: 1448: 1437: 1386: 1371: 1336: 1303: 1288: 1242:diffusion current 1223: 1193: 1180: 1010: 983: 951: 936: 917: 906: 859: = 290  839: 829: 812: 781: 744: 729: 580: 579: 572: 525: 524: 517: 445: 418: 388: 361: 330: 323: 310: 296: 292: 277: 254: 220:breakdown voltage 96: 95: 82:Electronic symbol 57:Working principle 16:(Redirected from 4390: 4341: 4340: 4309: 4303: 4302: 4283: 4263: 4257: 4256: 4234: 4228: 4226: 4203: 4197: 4196: 4176: 4136: 4134: 4133: 4128: 4123: 4122: 4119: 4097: 4095: 4094: 4089: 4082: 4081: 4079: 4075: 4074: 4071: 4065: 4064: 4058: 4057: 4054: 4045: 4044: 4041: 4024: 4019: 4018: 4015: 3999: 3997: 3996: 3991: 3986: 3985: 3982: 3968:cutoff frequency 3964:corner frequency 3961: 3959: 3958: 3953: 3951: 3950: 3947: 3928: 3926: 3925: 3920: 3913: 3912: 3910: 3893: 3888: 3887: 3884: 3868: 3866: 3865: 3860: 3855: 3854: 3851: 3842: 3841: 3838: 3825: 3823: 3822: 3817: 3815: 3814: 3811: 3802: 3801: 3798: 3785: 3783: 3782: 3777: 3772: 3771: 3768: 3755: 3753: 3752: 3747: 3745: 3744: 3741: 3719: 3717: 3716: 3711: 3704: 3703: 3701: 3697: 3696: 3693: 3687: 3686: 3680: 3679: 3676: 3664: 3663: 3660: 3651: 3650: 3647: 3628: 3623: 3622: 3619: 3603: 3601: 3600: 3595: 3593: 3592: 3589: 3574:cutoff frequency 3569:corner frequency 3551: 3549: 3548: 3543: 3536: 3535: 3533: 3529: 3528: 3525: 3519: 3518: 3512: 3511: 3508: 3496: 3495: 3492: 3483: 3482: 3479: 3457: 3453: 3452: 3449: 3443: 3442: 3436: 3435: 3432: 3422: 3417: 3415: 3414: 3411: 3405: 3404: 3401: 3395: 3375: 3373: 3372: 3367: 3365: 3364: 3361: 3348: 3346: 3345: 3340: 3338: 3337: 3334: 3321: 3319: 3318: 3313: 3311: 3310: 3307: 3291: 3289: 3288: 3283: 3276: 3275: 3274: 3271: 3265: 3261: 3260: 3258: 3257: 3254: 3245: 3240: 3238: 3237: 3234: 3225: 3217: 3216: 3213: 3204: 3203: 3200: 3177: 3176: 3173: 3154:is shown. Using 3153: 3151: 3150: 3145: 3143: 3142: 3139: 3126: 3124: 3123: 3118: 3116: 3115: 3112: 3061: 3059: 3058: 3053: 3046: 3045: 3043: 3042: 3039: 3033: 3029: 3028: 3025: 3018: 3013: 3011: 3010: 3009: 3006: 2996: 2995: 2994: 2991: 2981: 2973: 2971: 2970: 2969: 2966: 2956: 2955: 2954: 2951: 2941: 2936: 2935: 2932: 2908: 2906: 2905: 2900: 2888: 2886: 2885: 2880: 2878: 2877: 2874: 2858: 2856: 2855: 2850: 2843: 2842: 2837: 2836: 2833: 2827: 2822: 2821: 2818: 2793: 2791: 2790: 2785: 2769: 2767: 2766: 2761: 2759: 2758: 2742: 2740: 2739: 2734: 2722: 2720: 2719: 2714: 2699: 2697: 2696: 2691: 2684: 2683: 2681: 2677: 2676: 2673: 2657: 2655: 2654: 2639: 2638: 2635: 2619: 2617: 2616: 2611: 2609: 2608: 2605: 2554: 2552: 2551: 2546: 2544: 2543: 2540: 2527: 2525: 2524: 2519: 2517: 2516: 2513: 2493: 2491: 2490: 2485: 2480: 2478: 2477: 2474: 2468: 2467: 2466: 2463: 2453: 2448: 2446: 2445: 2444: 2441: 2432: 2427: 2426: 2423: 2410: 2405: 2404: 2401: 2366: 2364: 2363: 2358: 2353: 2347: 2343: 2342: 2339: 2332: 2318: 2316: 2315: 2310: 2308: 2307: 2304: 2283: 2281: 2280: 2275: 2261: 2259: 2258: 2253: 2251: 2250: 2247: 2230: 2228: 2227: 2222: 2220: 2219: 2216: 2201: 2199: 2198: 2193: 2191: 2190: 2187: 2168: 2166: 2165: 2160: 2155: 2151: 2144: 2143: 2141: 2140: 2139: 2136: 2126: 2125: 2122: 2116: 2105: 2104: 2101: 2092: 2091: 2088: 2023: 2021: 2020: 2015: 2010: 2009: 2006: 1997: 1996: 1993: 1980: 1978: 1977: 1972: 1967: 1966: 1963: 1866: 1864: 1863: 1858: 1853: 1852: 1849: 1840: 1839: 1836: 1820: 1818: 1817: 1812: 1810: 1809: 1808: 1807: 1804: 1798: 1793: 1792: 1789: 1767: 1765: 1764: 1759: 1754: 1753: 1750: 1737: 1735: 1734: 1729: 1727: 1726: 1723: 1710: 1708: 1707: 1702: 1700: 1699: 1698: 1697: 1694: 1688: 1680: 1679: 1676: 1667: 1666: 1663: 1639: 1637: 1636: 1631: 1626: 1625: 1622: 1613: 1612: 1609: 1567:diffusion length 1539: 1537: 1536: 1531: 1524: 1523: 1522: 1521: 1520: 1517: 1511: 1506: 1505: 1502: 1491: 1487: 1486: 1485: 1484: 1483: 1480: 1474: 1469: 1468: 1465: 1450: 1449: 1446: 1439: 1438: 1435: 1400: 1398: 1397: 1392: 1390: 1389: 1388: 1387: 1384: 1378: 1373: 1372: 1369: 1351:Boltzmann factor 1348: 1346: 1345: 1340: 1338: 1337: 1334: 1317: 1315: 1314: 1309: 1307: 1306: 1305: 1304: 1301: 1295: 1290: 1289: 1286: 1235: 1233: 1232: 1227: 1225: 1224: 1221: 1208: 1206: 1205: 1200: 1195: 1194: 1191: 1182: 1181: 1178: 1037:depletion region 1022: 1020: 1019: 1014: 1012: 1011: 1008: 995: 993: 992: 987: 985: 984: 981: 965: 963: 962: 957: 955: 954: 953: 952: 949: 943: 938: 937: 934: 919: 918: 915: 908: 907: 904: 869:Boltzmann factor 854: 852: 851: 846: 841: 835: 831: 830: 827: 820: 814: 813: 810: 793: 791: 790: 785: 783: 782: 779: 758: 756: 755: 750: 748: 747: 746: 745: 742: 736: 731: 730: 727: 706:Boltzmann factor 681:However, a flat 575: 568: 564: 561: 555: 535: 534: 527: 520: 513: 509: 506: 500: 477: 469: 461: 459: 458: 453: 447: 446: 443: 430: 428: 427: 422: 420: 419: 416: 400: 398: 397: 392: 390: 389: 386: 373: 371: 370: 365: 363: 362: 359: 343: 341: 340: 335: 328: 327: 326: 325: 324: 321: 312: 311: 308: 301: 297: 295: 294: 293: 290: 280: 279: 278: 275: 265: 256: 255: 252: 201:knee voltage (or 92: 73: 61: 60: 43: 39: 21: 4398: 4397: 4393: 4392: 4391: 4389: 4388: 4387: 4368: 4367: 4345: 4344: 4337: 4310: 4306: 4299: 4280: 4264: 4260: 4253: 4235: 4231: 4223: 4204: 4200: 4193: 4177: 4170: 4165: 4143: 4118: 4114: 4106: 4103: 4102: 4070: 4066: 4060: 4059: 4053: 4049: 4040: 4036: 4028: 4023: 4014: 4010: 4008: 4005: 4004: 3981: 3977: 3975: 3972: 3971: 3946: 3942: 3940: 3937: 3936: 3897: 3892: 3883: 3879: 3877: 3874: 3873: 3850: 3846: 3837: 3833: 3831: 3828: 3827: 3810: 3806: 3797: 3793: 3791: 3788: 3787: 3767: 3763: 3761: 3758: 3757: 3740: 3736: 3728: 3725: 3724: 3692: 3688: 3682: 3681: 3675: 3671: 3659: 3655: 3646: 3642: 3632: 3627: 3618: 3614: 3612: 3609: 3608: 3588: 3584: 3582: 3579: 3578: 3524: 3520: 3514: 3513: 3507: 3503: 3491: 3487: 3478: 3474: 3458: 3448: 3444: 3438: 3437: 3431: 3427: 3423: 3421: 3410: 3406: 3400: 3396: 3394: 3392: 3389: 3388: 3382:off resistance, 3360: 3356: 3354: 3351: 3350: 3333: 3329: 3327: 3324: 3323: 3306: 3302: 3300: 3297: 3296: 3270: 3266: 3253: 3249: 3244: 3233: 3229: 3224: 3212: 3208: 3199: 3195: 3185: 3181: 3172: 3168: 3166: 3163: 3162: 3138: 3134: 3132: 3129: 3128: 3127:and resistance 3111: 3107: 3105: 3102: 3101: 3071: 3038: 3034: 3024: 3020: 3019: 3017: 3005: 3001: 2997: 2990: 2986: 2982: 2980: 2965: 2961: 2957: 2950: 2946: 2942: 2940: 2931: 2927: 2925: 2922: 2921: 2894: 2891: 2890: 2873: 2869: 2867: 2864: 2863: 2832: 2828: 2826: 2817: 2813: 2811: 2808: 2807: 2779: 2776: 2775: 2754: 2750: 2748: 2745: 2744: 2728: 2725: 2724: 2708: 2705: 2704: 2672: 2668: 2661: 2656: 2650: 2646: 2634: 2630: 2628: 2625: 2624: 2604: 2600: 2598: 2595: 2594: 2567: 2561: 2539: 2535: 2533: 2530: 2529: 2512: 2508: 2506: 2503: 2502: 2473: 2469: 2462: 2458: 2454: 2452: 2440: 2436: 2428: 2422: 2418: 2414: 2409: 2400: 2396: 2394: 2391: 2390: 2338: 2334: 2333: 2330: 2328: 2325: 2324: 2321:thermal voltage 2303: 2299: 2297: 2294: 2293: 2287:ideality factor 2269: 2266: 2265: 2246: 2242: 2240: 2237: 2236: 2215: 2211: 2209: 2206: 2205: 2186: 2182: 2180: 2177: 2176: 2135: 2131: 2127: 2121: 2117: 2115: 2111: 2110: 2106: 2100: 2096: 2087: 2083: 2081: 2078: 2077: 2063: 2057: 2005: 2001: 1992: 1988: 1986: 1983: 1982: 1962: 1958: 1956: 1953: 1952: 1906: 1896: 1848: 1844: 1835: 1831: 1826: 1823: 1822: 1803: 1799: 1794: 1788: 1784: 1780: 1776: 1774: 1771: 1770: 1749: 1745: 1743: 1740: 1739: 1722: 1718: 1716: 1713: 1712: 1693: 1689: 1684: 1675: 1671: 1662: 1658: 1651: 1647: 1645: 1642: 1641: 1621: 1617: 1608: 1604: 1599: 1596: 1595: 1516: 1512: 1507: 1501: 1497: 1496: 1492: 1479: 1475: 1470: 1464: 1460: 1456: 1452: 1445: 1441: 1434: 1430: 1429: 1425: 1413: 1410: 1409: 1383: 1379: 1374: 1368: 1364: 1363: 1359: 1357: 1354: 1353: 1333: 1329: 1327: 1324: 1323: 1300: 1296: 1291: 1285: 1281: 1277: 1273: 1271: 1268: 1267: 1249:-side into the 1220: 1216: 1214: 1211: 1210: 1190: 1186: 1177: 1173: 1171: 1168: 1167: 1082: 1046:fixed, immobile 1007: 1003: 1001: 998: 997: 980: 976: 974: 971: 970: 948: 944: 939: 933: 929: 925: 921: 914: 910: 903: 899: 887: 884: 883: 826: 822: 821: 818: 809: 805: 803: 800: 799: 796:thermal voltage 778: 774: 772: 769: 768: 741: 737: 732: 726: 722: 718: 714: 712: 709: 708: 699: 629: 586: 576: 565: 559: 556: 548:help improve it 545: 536: 532: 521: 510: 504: 501: 490: 478: 467: 442: 438: 436: 433: 432: 415: 411: 406: 403: 402: 385: 381: 379: 376: 375: 358: 354: 352: 349: 348: 320: 316: 307: 303: 302: 289: 285: 281: 274: 270: 266: 264: 261: 260: 251: 247: 245: 242: 241: 168: 124: 106:based upon the 71: 58: 56: 38: 28: 23: 22: 15: 12: 11: 5: 4396: 4386: 4385: 4380: 4343: 4342: 4335: 4304: 4297: 4278: 4258: 4251: 4229: 4221: 4198: 4191: 4167: 4166: 4164: 4161: 4160: 4159: 4154: 4149: 4142: 4139: 4126: 4117: 4113: 4110: 4099: 4098: 4087: 4078: 4069: 4063: 4052: 4048: 4039: 4034: 4031: 4027: 4022: 4013: 3989: 3980: 3945: 3930: 3929: 3918: 3909: 3906: 3903: 3900: 3896: 3891: 3882: 3858: 3849: 3845: 3836: 3809: 3805: 3796: 3775: 3766: 3739: 3735: 3732: 3721: 3720: 3709: 3700: 3691: 3685: 3674: 3670: 3667: 3658: 3654: 3645: 3641: 3638: 3635: 3631: 3626: 3617: 3587: 3553: 3552: 3541: 3532: 3523: 3517: 3506: 3502: 3499: 3490: 3486: 3477: 3473: 3470: 3467: 3464: 3461: 3456: 3447: 3441: 3430: 3426: 3420: 3409: 3399: 3359: 3332: 3305: 3293: 3292: 3281: 3269: 3264: 3252: 3248: 3243: 3232: 3228: 3223: 3220: 3211: 3207: 3198: 3194: 3191: 3188: 3184: 3180: 3171: 3137: 3110: 3070: 3067: 3063: 3062: 3051: 3037: 3032: 3023: 3016: 3004: 3000: 2989: 2985: 2979: 2976: 2964: 2960: 2949: 2945: 2939: 2930: 2898: 2872: 2860: 2859: 2848: 2840: 2831: 2825: 2816: 2783: 2757: 2753: 2732: 2712: 2701: 2700: 2689: 2680: 2671: 2667: 2664: 2660: 2653: 2649: 2645: 2642: 2633: 2603: 2560: 2557: 2538: 2511: 2495: 2494: 2483: 2472: 2461: 2457: 2451: 2439: 2435: 2431: 2421: 2417: 2413: 2408: 2399: 2377: 2376: 2356: 2350: 2346: 2337: 2302: 2291: 2273: 2263: 2245: 2214: 2203: 2185: 2170: 2169: 2158: 2154: 2150: 2147: 2134: 2130: 2120: 2114: 2109: 2099: 2095: 2086: 2059:Main article: 2056: 2053: 2013: 2004: 2000: 1991: 1970: 1961: 1895: 1892: 1881:In the simple 1856: 1847: 1843: 1834: 1830: 1802: 1797: 1787: 1783: 1779: 1757: 1748: 1721: 1692: 1687: 1683: 1674: 1670: 1661: 1657: 1654: 1650: 1629: 1620: 1616: 1607: 1603: 1541: 1540: 1529: 1515: 1510: 1500: 1495: 1490: 1478: 1473: 1463: 1459: 1455: 1444: 1433: 1428: 1424: 1421: 1417: 1382: 1377: 1367: 1362: 1332: 1299: 1294: 1284: 1280: 1276: 1219: 1198: 1189: 1185: 1176: 1081: 1078: 1027:-side and the 1006: 979: 967: 966: 947: 942: 932: 928: 924: 913: 902: 898: 895: 891: 844: 838: 834: 825: 817: 808: 777: 740: 735: 725: 721: 717: 704:-side to be a 697: 628: 625: 582:Main article: 578: 577: 539: 537: 530: 523: 522: 481: 479: 472: 466: 463: 451: 441: 414: 410: 384: 357: 345: 344: 333: 319: 315: 306: 300: 288: 284: 273: 269: 263: 259: 250: 167: 164: 123: 120: 94: 93: 85: 84: 78: 77: 74: 68: 67: 62: 53: 52: 47: 26: 9: 6: 4: 3: 2: 4395: 4384: 4381: 4379: 4376: 4375: 4373: 4366: 4365: 4363: 4359: 4355: 4351: 4338: 4332: 4328: 4324: 4318: 4314: 4308: 4300: 4298:1-4020-7018-7 4294: 4290: 4289: 4281: 4275: 4271: 4270: 4262: 4254: 4248: 4244: 4240: 4233: 4224: 4222:0-19-511663-1 4218: 4214: 4208: 4202: 4194: 4192:0-7487-7382-7 4188: 4184: 4183: 4175: 4173: 4168: 4158: 4155: 4153: 4150: 4148: 4145: 4144: 4138: 4115: 4108: 4085: 4067: 4061: 4050: 4037: 4032: 4029: 4025: 4020: 4011: 4003: 4002: 4001: 3987: 3978: 3969: 3965: 3943: 3933: 3916: 3907: 3904: 3901: 3898: 3894: 3889: 3880: 3872: 3871: 3870: 3856: 3847: 3843: 3834: 3807: 3803: 3794: 3773: 3764: 3737: 3733: 3730: 3707: 3689: 3683: 3672: 3656: 3652: 3643: 3636: 3633: 3629: 3624: 3615: 3607: 3606: 3605: 3585: 3576: 3575: 3570: 3566: 3562: 3558: 3539: 3521: 3515: 3504: 3488: 3484: 3475: 3468: 3465: 3462: 3459: 3445: 3439: 3428: 3418: 3407: 3397: 3387: 3386: 3385: 3383: 3379: 3357: 3330: 3303: 3279: 3267: 3262: 3250: 3246: 3241: 3230: 3226: 3221: 3209: 3205: 3196: 3189: 3186: 3182: 3178: 3169: 3161: 3160: 3159: 3157: 3135: 3108: 3100:with current 3099: 3098:Norton source 3095: 3091: 3084: 3083:Norton source 3080: 3075: 3066: 3049: 3035: 3030: 3021: 3014: 3002: 2998: 2987: 2983: 2977: 2974: 2962: 2958: 2947: 2943: 2937: 2928: 2920: 2919: 2918: 2916: 2912: 2896: 2870: 2846: 2838: 2829: 2823: 2814: 2806: 2805: 2804: 2802: 2801: 2795: 2781: 2773: 2755: 2751: 2730: 2710: 2687: 2669: 2662: 2658: 2651: 2647: 2643: 2640: 2631: 2623: 2622: 2621: 2601: 2592: 2588: 2584: 2580: 2576: 2572: 2566: 2556: 2536: 2509: 2500: 2481: 2470: 2459: 2455: 2449: 2437: 2433: 2429: 2419: 2415: 2411: 2406: 2397: 2389: 2388: 2387: 2385: 2384:on resistance 2380: 2374: 2370: 2354: 2348: 2344: 2335: 2322: 2300: 2292: 2289: 2288: 2271: 2264: 2243: 2234: 2212: 2204: 2183: 2175: 2174: 2173: 2156: 2152: 2148: 2145: 2132: 2128: 2118: 2112: 2107: 2097: 2093: 2084: 2076: 2075: 2074: 2072: 2068: 2062: 2052: 2050: 2045: 2043: 2039: 2033: 2031: 2027: 2011: 2002: 1998: 1989: 1968: 1959: 1950: 1946: 1942: 1938: 1930: 1926: 1922: 1915: 1910: 1905: 1901: 1891: 1889: 1884: 1879: 1877: 1873: 1868: 1845: 1841: 1832: 1800: 1795: 1785: 1781: 1777: 1755: 1746: 1719: 1690: 1685: 1672: 1668: 1659: 1652: 1648: 1618: 1614: 1605: 1592: 1590: 1586: 1582: 1581: 1575: 1573: 1569: 1568: 1563: 1562: 1557: 1555: 1549: 1547: 1546:recombination 1527: 1513: 1508: 1498: 1493: 1488: 1476: 1471: 1461: 1457: 1453: 1442: 1431: 1426: 1422: 1419: 1415: 1408: 1407: 1406: 1404: 1380: 1375: 1365: 1360: 1352: 1330: 1321: 1297: 1292: 1282: 1278: 1274: 1265: 1260: 1257:-side to the 1256: 1252: 1248: 1244: 1243: 1237: 1217: 1196: 1187: 1183: 1174: 1165: 1161: 1156: 1154: 1150: 1146: 1142: 1138: 1134: 1130: 1126: 1122: 1118: 1109: 1105: 1101: 1094: 1090: 1086: 1077: 1075: 1070: 1068: 1064: 1060: 1056: 1052: 1047: 1043: 1039: 1038: 1032: 1030: 1026: 1004: 977: 945: 940: 930: 926: 922: 911: 900: 896: 893: 889: 882: 881: 880: 878: 874: 870: 866: 862: 858: 842: 836: 832: 823: 815: 806: 798:, defined as 797: 775: 766: 762: 738: 733: 723: 719: 715: 707: 703: 696: 692: 688: 684: 679: 677: 673: 669: 665: 662:-type and an 661: 657: 653: 649: 641: 637: 633: 624: 622: 618: 617:Semiconductor 614: 610: 609:step function 606: 599: 595: 590: 585: 574: 571: 563: 553: 549: 543: 540:This section 538: 529: 528: 519: 516: 508: 498: 494: 488: 487: 482:This section 480: 476: 471: 470: 462: 449: 439: 412: 382: 355: 331: 317: 313: 304: 298: 286: 271: 257: 248: 240: 239: 238: 236: 232: 228: 223: 221: 217: 213: 209: 205: 202: 197: 195: 194: 189: 185: 177: 172: 159: 155: 153: 149: 145: 141: 137: 133: 129: 119: 117: 113: 109: 105: 102:is a type of 101: 91: 86: 83: 79: 75: 69: 66: 63: 54: 51: 50:Semiconductor 48: 44: 37: 33: 19: 4347: 4346: 4326: 4316: 4312: 4307: 4287: 4268: 4261: 4242: 4232: 4212: 4206: 4201: 4181: 4152:p–n junction 4100: 3967: 3963: 3934: 3931: 3722: 3572: 3568: 3564: 3556: 3554: 3381: 3377: 3294: 3089: 3087: 3078: 3064: 2911:transit time 2910: 2861: 2798: 2796: 2702: 2586: 2582: 2578: 2574: 2570: 2568: 2499:differential 2496: 2383: 2381: 2378: 2371: = 290 2368: 2320: 2285: 2232: 2171: 2066: 2064: 2048: 2046: 2037: 2034: 2029: 2025: 1948: 1944: 1940: 1936: 1934: 1928: 1913: 1894:Reverse bias 1882: 1880: 1875: 1871: 1869: 1593: 1588: 1584: 1578: 1576: 1565: 1559: 1553: 1550: 1545: 1542: 1402: 1319: 1263: 1258: 1254: 1250: 1246: 1240: 1238: 1236:to energy.) 1163: 1159: 1157: 1155:-type side. 1152: 1148: 1144: 1140: 1136: 1132: 1128: 1124: 1120: 1116: 1114: 1107: 1092: 1080:Forward bias 1074:forward bias 1073: 1071: 1066: 1062: 1054: 1050: 1045: 1041: 1035: 1033: 1028: 1024: 968: 876: 872: 864: 856: 795: 794:denotes the 764: 760: 701: 694: 690: 686: 680: 675: 671: 663: 659: 655: 651: 647: 645: 639: 621:Band diagram 604: 602: 584:p–n junction 566: 557: 541: 511: 502: 491:Please help 486:verification 483: 431:at the bias 346: 230: 226: 224: 219: 211: 207: 203: 200: 198: 191: 187: 183: 181: 175: 151: 147: 143: 139: 135: 131: 127: 125: 115: 111: 108:p–n junction 99: 97: 65:p–n junction 32:p–n junction 4350:Citizendium 4147:p-i-n diode 3567:exhibits a 2577:sides of a 2559:Capacitance 1900:Zener diode 867:-side is a 683:Fermi level 4372:Categories 3559:indicates 3376:the diode 2563:See also: 2555:are used. 2042:photodiode 1904:Photodiode 1898:See also: 30:See also: 4352:article " 4062:∥ 4033:π 3908:τ 3902:π 3844:≫ 3804:≫ 3734:≫ 3684:∥ 3637:π 3516:∥ 3469:ω 3440:∥ 3190:ω 3031:τ 2978:τ 2897:τ 2839:τ 2752:ε 2731:κ 2648:ε 2644:κ 2450:≈ 2146:− 2055:Diode law 2049:avalanche 1990:φ 1786:φ 1782:− 1720:φ 1669:− 1660:φ 1653:− 1570:. In the 1462:φ 1458:− 1283:φ 1279:− 1184:− 1175:φ 931:φ 927:− 724:φ 720:− 627:Zero bias 560:June 2022 465:Operation 409:Δ 283:Δ 268:Δ 174:Nonideal 122:Structure 100:p–n diode 41:P–N diode 18:P-n diode 4313:varactor 4141:See also 3577:denoted 2565:Varactor 1561:lifetime 1145:minority 1137:majority 505:May 2022 3563:. This 2909:is the 2373:kelvins 2319:is the 2231:is the 2032:-side. 1878:-side. 861:kelvins 598:silicon 546:Please 237:point: 204:turn-on 59:‍ 4378:Diodes 4333:  4295:  4276:  4249:  4219:  4189:  4083:  3914:  3705:  3555:where 3537:  3277:  3047:  2862:where 2844:  2774:, and 2685:  2284:is an 2172:where 1556:center 1525:  1042:mobile 347:where 329:  208:cut-in 4315:is a 4163:Notes 3295:with 2703:with 1931:diode 1111:role. 210:, or 4362:GFDL 4331:ISBN 4311:The 4293:ISBN 4274:ISBN 4247:ISBN 4217:ISBN 4187:ISBN 3826:and 3094:bias 2770:the 2573:and 2528:and 1902:and 1108:p–n- 1091:for 996:and 638:for 619:and 444:bias 322:bias 235:bias 46:Type 34:and 4317:p–n 4207:p–n 3571:or 3380:or 3079:p–n 2579:p–n 2386:is 2323:of 2067:p–n 1929:p–n 1914:p–n 1883:p–n 1403:pn- 1093:p–n 855:At 648:p–n 640:p–n 605:p–n 594:p–n 550:to 495:by 231:off 229:or 176:p–n 150:or 128:p–n 4374:: 4325:. 4241:. 4171:^ 3604:: 3557:|| 3378:on 2915:ns 2073:: 1589:p- 1585:n- 1320:n- 1259:p- 1251:n- 877:pn 623:. 227:on 206:, 196:. 144:p- 140:p- 136:n- 132:p- 98:A 4364:. 4339:. 4301:. 4282:. 4255:. 4227:. 4225:. 4195:. 4125:) 4120:R 4116:v 4112:( 4109:w 4086:, 4077:) 4072:D 4068:r 4055:S 4051:R 4047:( 4042:J 4038:C 4030:2 4026:1 4021:= 4016:c 4012:f 3988:. 3983:R 3979:v 3948:D 3944:C 3917:, 3905:n 3899:2 3895:1 3890:= 3885:c 3881:f 3857:, 3852:D 3848:r 3839:S 3835:R 3812:J 3808:C 3799:D 3795:C 3774:. 3769:D 3765:r 3742:c 3738:f 3731:f 3708:, 3699:) 3694:D 3690:r 3677:S 3673:R 3669:( 3666:) 3661:J 3657:C 3653:+ 3648:D 3644:C 3640:( 3634:2 3630:1 3625:= 3620:c 3616:f 3590:c 3586:f 3540:, 3531:) 3526:D 3522:r 3509:S 3505:R 3501:( 3498:) 3493:J 3489:C 3485:+ 3480:D 3476:C 3472:( 3466:j 3463:+ 3460:1 3455:) 3450:D 3446:r 3433:S 3429:R 3425:( 3419:= 3412:S 3408:I 3402:O 3398:V 3362:D 3358:r 3335:J 3331:C 3308:D 3304:C 3280:, 3272:O 3268:V 3263:) 3255:S 3251:R 3247:1 3242:+ 3235:D 3231:r 3227:1 3222:+ 3219:) 3214:D 3210:C 3206:+ 3201:J 3197:C 3193:( 3187:j 3183:( 3179:= 3174:S 3170:I 3140:S 3136:R 3113:S 3109:I 3050:. 3040:T 3036:V 3026:D 3022:i 3015:= 3007:D 3003:v 2999:d 2992:D 2988:i 2984:d 2975:= 2967:D 2963:v 2959:d 2952:D 2948:Q 2944:d 2938:= 2933:D 2929:C 2875:D 2871:Q 2847:, 2834:D 2830:Q 2824:= 2819:D 2815:i 2782:w 2756:0 2711:A 2688:, 2679:) 2674:R 2670:v 2666:( 2663:w 2659:A 2652:0 2641:= 2636:J 2632:C 2606:R 2602:v 2575:p 2571:n 2541:D 2537:v 2514:D 2510:i 2482:, 2475:D 2471:i 2464:T 2460:V 2456:n 2442:D 2438:v 2434:d 2430:/ 2424:D 2420:i 2416:d 2412:1 2407:= 2402:D 2398:r 2375:. 2369:T 2355:, 2349:q 2345:T 2340:B 2336:k 2305:T 2301:V 2272:n 2248:D 2244:V 2217:R 2213:I 2188:D 2184:V 2157:, 2153:) 2149:1 2137:T 2133:V 2129:n 2123:D 2119:V 2113:e 2108:( 2102:R 2098:I 2094:= 2089:D 2085:I 2030:n 2026:p 2012:, 2007:R 2003:v 1999:+ 1994:B 1969:, 1964:R 1960:v 1949:n 1945:p 1941:n 1937:p 1876:n 1872:p 1855:) 1850:B 1846:p 1842:, 1837:B 1833:n 1829:( 1805:T 1801:V 1796:/ 1790:B 1778:e 1756:. 1751:D 1747:v 1724:B 1695:T 1691:V 1686:/ 1682:) 1677:D 1673:v 1664:B 1656:( 1649:e 1628:) 1623:B 1619:p 1615:, 1610:B 1606:n 1602:( 1528:. 1518:T 1514:V 1509:/ 1503:D 1499:v 1494:e 1489:) 1481:T 1477:V 1472:/ 1466:B 1454:e 1447:B 1443:n 1436:B 1432:p 1427:( 1423:= 1420:n 1416:p 1385:T 1381:V 1376:/ 1370:D 1366:v 1361:e 1335:D 1331:v 1302:T 1298:V 1293:/ 1287:B 1275:e 1264:p 1255:n 1247:p 1222:D 1218:v 1197:. 1192:D 1188:v 1179:B 1164:n 1160:p 1153:n 1149:p 1141:p 1133:n 1129:n 1125:p 1121:n 1117:p 1067:n 1063:p 1055:n 1051:p 1029:n 1025:p 1009:B 1005:n 982:B 978:p 950:T 946:V 941:/ 935:B 923:e 916:B 912:n 905:B 901:p 897:= 894:n 890:p 873:p 865:n 857:T 843:. 837:q 833:T 828:B 824:k 816:= 811:T 807:V 780:T 776:V 765:p 761:n 743:T 739:V 734:/ 728:B 716:e 702:p 698:B 695:φ 691:n 687:p 676:p 672:n 664:n 660:p 656:n 652:p 573:) 567:( 562:) 558:( 544:. 518:) 512:( 507:) 503:( 489:. 450:. 440:V 417:D 413:v 387:D 383:i 360:D 356:r 332:, 318:V 314:= 309:D 305:v 299:| 291:D 287:i 276:D 272:v 258:= 253:D 249:r 152:n 148:n 116:n 112:p 20:)

Index

P-n diode
p–n junction
Diode § Semiconductor diodes
Semiconductor
p–n junction
Electronic symbol

semiconductor diode
p–n junction


electrical rectifier
Diode § Forward threshold voltage for various semiconductors
bias

verification
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p–n junction

p–n
silicon
step function
band-bending diagrams
Semiconductor
Band diagram

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