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com.apple.print.ticket.APIVersion 00.20 com.apple.print.ticket.privateLock com.apple.print.ticket.type com.apple.print.PrintSettingsTicket ^Graph*@@?ێ88?89WDashSettings#  !0eb4Normal@ Geneva<HHHH$$0eb4Normal@ Geneva<HHHH$$4444440 xLNormal@ Geneva<HHHH$$4 4 4 4 4 4 0homeddA 7Integrin:Users:davidmorgan:DLMDocs:Teaching:IgorWeb:IgorSite:ECE2061:Integrin7H+A VECE2061A W IgorSiteW(dA VA O j > |bDIntegrin:Users:davidmorgan:DLMDocs:Teaching:IgorWeb:IgorSite:ECE2061ECE2061Integrin;Users/davidmorgan/DLMDocs/Teaching/IgorWeb/IgorSite/ECE2061/7RecentWindowsAnalysis.ihfDialog Help.ihfErrors.ihfGetting Started.ihfGraphics.ihfHelp BrowserIgor Reference.ihfJunction plotMinority carriersProgramming.ihfTable0:Using Igor.ihfWhat's Changed Since 6.00.ihfWhat's New In Igor Pro 6.ihfWM Procedures Index.ihf 4Misc_EndXOPState_StartData Browsering.ihfrXLLoadWave Started.ihfGrapSurface PlotterowserIgor ReferInterpolate`n plotMinority Data Browserrootfff^GGGGGGX 􃃃􃃃X 4XOPState_End qe< B#Muh@~Mue@perm=r,3kToverq?ni2D$2xpV_Flag?NDCv4WؠNACQy7VCB?333334VBE?333334*variable /g qe=1.6e-19, Muh=480, Mue=1350 Make Sigma, Field, V Show(4.62e+17,1.3e+16,0) 7.69724e-05 0.00273548 Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-05 0.00273548 variable /g qe=1.6e-19, Muh=480, Mue=1350, perm=11.7*8.8e-10,kToverq=0.025, ni2=1.9e20 Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-05 0.00273548 Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-05 0.00273548 Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-05 0.00273548 Display Sigma; AppendToGraph/L=Sigmaaxis Field; AppendToGraph/L=VoltAxis V Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-05 0.00273548 Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-05 0.00273548 SetAxis/A/N=1 left Field=Sigma/Perm integrate field Redimension/N=2058 Sigma,Field,V Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-05 0.00273548 Field=Sigma/Perm integrate field SetAxis/A/N=1 Sigmaaxis Redimension/N=4096 Sigma,Field,V Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-05 0.00273548 Field=Sigma/Perm integrate field Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-05 0.00273548 Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-05 0.00273548 Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-05 0.00273548 SetAxis/A/N=1 VoltAxis ModifyGraph rgb(Field)=(1,16019,65535),rgb(V)=(3,52428,1) Show(4.62e+17,1.3e+16,0.5) 0.777113 4.59644e-05 0.0016335 Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-05 0.00273548 Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-05 0.00273548 ModifyGraph margin(left)=108 ModifyGraph margin(left)=144 Label left "Field strength (V/cm)";DelayUpdate Label bottom "Distance from metallurgical junction (mm)";DelayUpdate Label Sigmaaxis "Charge density (C/cm\\S3\\M)";DelayUpdate Label VoltAxis "Voltage relative to n (V)" ModifyGraph margin(left)=180 Label Sigmaaxis "\\K(65535,0,0)Charge density (C/cm\\S3\\M)" Label VoltAxis "\\K(3,52428,1)Voltage relative to n (V)" Label left "\\K(1,16019,65535)Field strength (V/cm)" SetAxis Sigmaaxis -200,800 Silent 101 Edit Field ShowInfo DoWindow/R Graph0 graph0() AppendToTable Sigma,V Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-07 2.73548e-05 SetAxis Sigmaaxis -128.75992,55128.305 Show(4.62e+16,1.3e+16,0) 0.719548 6.63451e-06 2.3578e-05 SetAxis Sigmaaxis -40000,80000 Show(4.62e+16,1.3e+16,0) 0.719548 6.63451e-06 2.3578e-05 Show(4.62e+16,1.3e+16,0) 0.719548 6.63451e-06 2.3578e-05 Show(1e+16,4e+16,0) 0.709387 2.70256e-05 6.75641e-06 SetAxis Sigmaaxis -80000,20000 ModifyGraph gfSize=14 Show(1e+16,4e+16,0) 0.709387 2.70256e-05 6.75641e-06 Show(1e+16,4e+16,.5) 0.709387 1.46828e-05 3.6707e-06 Show(1e+16,4e+16,0) 0.709387 2.70256e-05 6.75641e-06 SetAxis VoltAxis 0,1 Show(1e+16,4e+16,.5) 0.709387 1.46828e-05 3.6707e-06 Show(1e+16,4e+16,0) 0.709387 2.70256e-05 6.75641e-06 SetAxis bottom -2e-05,4e-05 Show(1e+16,4e+16,.5) 0.709387 1.46828e-05 3.6707e-06 Show(1e+16,4e+16,-0.5) 0.709387 3.52872e-05 8.82179e-06 Show(1e+16,4e+16,.3) 0.709387 2.05306e-05 5.13264e-06 Show(1e+16,4e+16,-0.3) 0.709387 3.22376e-05 8.05941e-06 SetAxis VoltAxis 0,1.2 Show(1e+16,4e+16,-0) 0.709387 2.70256e-05 6.75641e-06 Show(1e+16,4e+16,-0.3) 0.709387 3.22376e-05 8.05941e-06 Show(1e+16,4e+16,-0) 0.709387 2.70256e-05 6.75641e-06 Show(1e+16,4e+16,-0.3) 0.709387 3.22376e-05 8.05941e-06 Show(1e+16,4e+16,0.3) 0.709387 2.05306e-05 5.13264e-06 Show(1e+16,4e+16,-0) 0.709387 2.70256e-05 6.75641e-06 Show(1e+16,4e+16,-0.3) 0.709387 3.22376e-05 8.05941e-06 Show(4.62e+17,1.3e+16,0) 0.777113 7.69724e-07 2.73548e-05 Show(1e+16,4e+16,0) 0.709387 2.70256e-05 6.75641e-06 Show(1e+16,4e+16,0.1) 0.709387 2.50484e-05 6.26211e-06 Show(1e+16,4e+16,0.2) 0.709387 2.29012e-05 5.7253e-06 Show(1e+16,4e+16,-0.1) 0.709387 2.88677e-05 7.21693e-06 ShowTools/A ControlBar 25 variable ND=1e+16, NA=4e+16, Vext=0 SetVariable NA title="Acceptro concentration",proc=Plot,value=NA SetVariable NA title="Acceptor concentration" SetVariable NA1 title="Donor concentration",value=ND,rename=ND SetVariable ND1 title="External voltage",value=Vext,rename=Vext 0.709387 NaN NaN 0.709387 2.70256e-05 6.75641e-06 SetVariable Vext limits={-inf,inf,0.1} 0.709387 2.50484e-05 6.26211e-06 0.709387 2.29012e-05 5.7253e-06 0.709387 2.05306e-05 5.13264e-06 0.709387 1.78478e-05 4.46195e-06 0.709387 1.46828e-05 3.6707e-06 0.709387 1.06125e-05 2.65312e-06 0.709387 3.10876e-06 7.7719e-07 0.709387 1.06125e-05 2.65312e-06 0.709387 1.46828e-05 3.6707e-06 0.709387 1.78478e-05 4.46195e-06 0.709387 2.05306e-05 5.13264e-06 0.709387 2.29012e-05 5.7253e-06 0.709387 2.50484e-05 6.26211e-06 0.709387 2.70256e-05 6.75641e-06 0.709387 2.88677e-05 7.21693e-06 0.709387 3.05991e-05 7.64977e-06 0.709387 3.22376e-05 8.05941e-06 0.709387 3.37968e-05 8.4492e-06 0.714965 3.45803e-05 6.91607e-06 0.709387 3.37968e-05 8.4492e-06 0.714965 3.45803e-05 6.91607e-06 0.714965 3.60978e-05 7.21956e-06 0.714965 3.45803e-05 6.91607e-06 0.714965 3.29932e-05 6.59864e-06 0.714965 3.13257e-05 6.26514e-06 0.714965 2.95643e-05 5.91287e-06 0.714965 2.76912e-05 5.53823e-06 0.714965 2.56817e-05 5.13634e-06 0.714965 2.35011e-05 4.70021e-06 0.714965 2.10962e-05 4.21924e-06 0.714965 1.83793e-05 3.67587e-06 0.714965 1.51839e-05 3.03678e-06 0.714965 1.11041e-05 2.22081e-06 0.714965 4.00626e-06 8.01252e-07 0.714965 1.11041e-05 2.22081e-06 0.714965 1.51839e-05 3.03678e-06 0.714965 1.83793e-05 3.67587e-06 0.714965 2.10962e-05 4.21924e-06 0.714965 2.35011e-05 4.70021e-06 0.714965 2.56817e-05 5.13634e-06 0.714965 2.76912e-05 5.53823e-06 0.714965 2.95643e-05 5.91287e-06 0.714965 3.13257e-05 6.26514e-06 0.714965 3.29932e-05 6.59864e-06 0.714965 3.13257e-05 6.26514e-06 0.714965 2.95643e-05 5.91287e-06 0.714965 2.76912e-05 5.53823e-06 0.714965 2.56817e-05 5.13634e-06 0.714965 2.35011e-05 4.70021e-06 0.714965 2.10962e-05 4.21924e-06 0.714965 1.83793e-05 3.67587e-06 0.714965 1.51839e-05 3.03678e-06 0.714965 1.11041e-05 2.22081e-06 0.714965 1.51839e-05 3.03678e-06 0.714965 1.83793e-05 3.67587e-06 0.714965 2.10962e-05 4.21924e-06 0.714965 2.35011e-05 4.70021e-06 0.714965 2.56817e-05 5.13634e-06 0.714965 2.76912e-05 5.53823e-06 0.714965 2.95643e-05 5.91287e-06 0.714965 3.13257e-05 6.26514e-06 0.714965 2.95643e-05 5.91287e-06 0.714965 2.76912e-05 5.53823e-06 0.714965 2.56817e-05 5.13634e-06 0.714965 2.35011e-05 4.70021e-06 0.714965 2.10962e-05 4.21924e-06 0.714965 2.35011e-05 4.70021e-06 0.714965 2.56817e-05 5.13634e-06 0.714965 2.76912e-05 5.53823e-06 0.714965 2.95643e-05 5.91287e-06 0.714965 3.13257e-05 6.26514e-06 0.714965 3.29932e-05 6.59864e-06 0.714965 3.45803e-05 6.91607e-06 0.714965 3.60978e-05 7.21956e-06 0.714965 3.45803e-05 6.91607e-06 0.714965 3.60978e-05 7.21956e-06 0.714965 3.7554e-05 7.51079e-06 0.714965 3.89557e-05 7.79115e-06 0.714965 4.03088e-05 8.06176e-06 0.714965 4.16179e-05 8.32358e-06 0.714965 4.28871e-05 8.57741e-06 0.714965 4.41197e-05 8.82394e-06 0.714965 4.53189e-05 9.06377e-06 0.714965 4.64871e-05 9.29742e-06 0.714965 4.76267e-05 9.52533e-06 0.714965 4.64871e-05 9.29742e-06 0.714965 4.53189e-05 9.06377e-06 0.714965 4.41197e-05 8.82394e-06 0.714965 4.28871e-05 8.57741e-06 0.714965 4.16179e-05 8.32358e-06 0.714965 4.03088e-05 8.06176e-06 0.714965 3.89557e-05 7.79115e-06 0.714965 3.7554e-05 7.51079e-06 0.714965 3.60978e-05 7.21956e-06 0.714965 3.45803e-05 6.91607e-06 0.714965 3.29932e-05 6.59864e-06 0.714965 3.13257e-05 6.26514e-06 0.714965 2.95643e-05 5.91287e-06 0.714965 2.76912e-05 5.53823e-06 0.714965 2.56817e-05 5.13634e-06 0.714965 2.35011e-05 4.70021e-06 0.714965 2.10962e-05 4.21924e-06 0.714965 1.83793e-05 3.67587e-06 0.714965 2.10962e-05 4.21924e-06 0.714965 2.35011e-05 4.70021e-06 0.714965 2.56817e-05 5.13634e-06 0.714965 2.76912e-05 5.53823e-06 0.714965 2.76912e-05 5.53823e-06 SetAxis Sigmaaxis -100000,20000 SetAxis left -0.01,0.002 0.709387 2.70256e-05 6.75641e-06 0.702194 2.60345e-05 8.67815e-06 0.719523 2.81733e-05 4.69556e-06 0.732294 2.92709e-05 2.92709e-06 0.789858 3.17251e-05 3.17251e-07 0.709387 2.70256e-05 6.75641e-06 0.669151 6.40386e-05 3.20193e-06 0.709387 2.70256e-05 6.75641e-06 DoWindow/C/T JunctionPlot,"Junction plot" Label bottom "Distance from metallurgical junction (cm)" Label VoltAxis "\\K(3,52428,1)Voltage relative to p (V)" SetAxis/A/E=2 left SetAxis/A/E=2 Sigmaaxis Redimension/D Sigma,Field,V SetScale/I x -0.0001,2e-05,"", Sigma,Field,V SetAxis/A/N=1 bottom SetScale/I x -0.0001,2e-05,"", Sigma,Field,V SetScale/I x -0.0001,2e-05,"", Sigma,Field,V SetScale/I x -0.0001,2e-05,"", Sigma,Field,V SetVariable Vext title="Collector voltage" SetScale/I x -0.00015,2e-05,"", Sigma,Field,V SetAxis/A/N=0 bottom Rename Vext,VCB; Variable VBE SetVariable Vext value=VCB,rename=VCB SetVariable VCB1 title="Emitter voltage",value=VBE,rename=VBE SetAxis/A VoltAxis Duplicate Field, electrons Rename electrons,MinCarrs; Display MinCarrs HideInfo ModifyGraph gfSize=14 DoWindow/C/T MinorityCarriers,"Minority carriers" Duplicate MinCarrs, LastMinCarrs AppendToGraph LastMinCarrs SetVariable VBE limits={-inf,inf,0.025} SetVariable VCB limits={-inf,inf,0.025} SetAxis/A/E=2 VoltAxis Label VoltAxis "\\K(3,52428,1)Voltage relative to Emitter (V)" SetScale/I x -0.00015,5e-05,"", Sigma,Field,V,MinCarrs,LastMinCarrs SetVariable VBE format="e3" SetVariable VBE format="%e3" SetVariable VBE format="%f3" SetVariable VBE format="%f1.3" SetVariable VBE format="%d3" SetVariable VBE format="%d1.3" SetVariable VBE format="%f1.3" SetVariable VBE format="%4.4d" SetVariable VBE format="%6.4d" SetVariable VBE format="%6.3f" SetVariable VCB format="%6.3f" TextBox/C/N=text0/F=0/A=MC "Emitter (n)" TextBox/C/N=base/F=0/A=MC "Base (p)" TextBox/C/N=collector/F=0/A=MC "Collector (n)" Label left "Carrier concentration cm\\S-3" print (540000*2*pi)^(-2)*80e-6 6.94933e-18 print 1/((540000*2*pi)^(2)*80e-6) 1.08583e-09 SetVariable VBE title="Base-Emitter voltage" SetVariable VCB title="Base-Collector voltage" SetScale/P x -0.0015,4.88400488400488e-07,"", MinCarrs ShowTools/A arrow PopupMenu Scale proc=ChangeScale,value="Match;Show more" PopupMenu Scale title="Scale",mode=0 SetScale x -0.00015,5e-05,"", Sigma,Field,V,MinCarrs,LastMinCarrs DoWindow/R MinorityCarriers PopupMenu Scale,pos={197,12},size={56,20},proc=ChangeScale,title="Scale" PopupMenu Scale,mode=0,value= #"\"Match;Show more\"" PopupMenu Scale value="Expand junctions;Show more" HideTools/A 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DefaultFont "Helvetica" MoveWindow/P 214,144,844,632 Table0() MoveWindow/C 98,613,820,731 MinorityCarriers() JunctionPlot() Window JunctionPlot() : Graph PauseUpdate; Silent 1 // building window... Display /W=(31,44,961,372) Sigma as "Junction plot" AppendToGraph/L=Sigmaaxis Field AppendToGraph/L=VoltAxis V ModifyGraph margin(left)=180,gfSize=14 ModifyGraph rgb(Field)=(1,16019,65535),rgb(V)=(3,52428,1) ModifyGraph axOffset(left)=10 ModifyGraph lblPos(left)=165,lblPos(Sigmaaxis)=-65,lblPos(VoltAxis)=46 ModifyGraph lblLatPos(left)=-2,lblLatPos(Sigmaaxis)=-4,lblLatPos(VoltAxis)=3 ModifyGraph freePos(Sigmaaxis)=120 ModifyGraph freePos(VoltAxis)=64 Label left "\\K(1,16019,65535)Field strength (V/cm)" Label bottom "Distance from metallurgical junction (cm)" Label Sigmaaxis "\\K(65535,0,0)Charge density (C/cm\\S3\\M)" Label VoltAxis "\\K(3,52428,1)Voltage relative to Emitter (V)" SetAxis/A/N=1/E=2 left SetAxis/A/N=1/E=2 Sigmaaxis SetAxis/A/N=1/E=2 VoltAxis Cursor/P A Field 212 TextBox/C/N=text0/F=0/A=MC/X=-38.70/Y=46.06 "Emitter (n)" TextBox/C/N=base/F=0/A=MC/X=-1.39/Y=45.23 "Base (p)" TextBox/C/N=collector/F=0/A=MC/X=39.25/Y=44.81 "Collector (n)" ControlBar 26 SetVariable NA,pos={8,5},size={174,15},proc=Plot,title="Acceptor concentration" SetVariable NA,value= NA SetVariable ND,pos={189,5},size={158,15},proc=Plot,title="Donor concentration" SetVariable ND,value= ND SetVariable VCB,pos={722,6},size={161,15},proc=Plot,title="Base-Collector voltage" SetVariable VCB,format="%6.3f",limits={-inf,inf,0.025},value= VCB SetVariable VBE,pos={563,6},size={152,15},proc=Plot,title="Base-Emitter voltage" SetVariable VBE,format="%6.3f",limits={-inf,inf,0.025},value= VBE PopupMenu Scale,pos={431,2},size={56,20},proc=ChangeScale,title="Scale" PopupMenu Scale,mode=0,value= #"\"Expand junctions;Show more\"" EndMacro Window MinorityCarriers() : Graph PauseUpdate; Silent 1 // building window... Display /W=(127,411,939,711) MinCarrs,LastMinCarrs as "Minority carriers" ModifyGraph gfSize=14 ModifyGraph lStyle(LastMinCarrs)=3 Label left "Carrier concentration cm\\S-3" ShowTools/A EndMacro Window Table0() : Table PauseUpdate; Silent 1 // building window... Edit/W=(5,44,510,251) ModifyTable format=1 EndMacro #pragma rtGlobals=1 // Use modern global access method. variable /g qe=1.6e-19, Muh=480, Mue=1350, perm=11.7*8.8e-14,kToverq=0.025, ni2=1.9e20 Function Plot(ctrlName,varNum,varStr,varName) : SetVariableControl String ctrlName Variable varNum String varStr String varName WAVE Sigma, Field, V, MinCarrs, LastMinCarrs //Charge density, field strength, voltage, minority carriers NVAR qe, Muh, Mue, Perm, kToverq, ni2,ND, NA, VCB, VBE variable Vint=kToverq*ln(Nd*Na/ni2) variable WnC=sqrt(2*Perm*(Vint-VCB)*Na/qe/Nd/(Na+Nd))//Width of depletion layer in n at collector variable WpC=WnC*Nd/Na Variable BW=1e-4 //base width in cm variable WnE=sqrt(2*Perm*(Vint-VBE)*Na/qe/Nd/(Na+Nd)) variable WpE=WnE*Nd/Na Sigma=-qe*NA*(x>-WpC)*(x<0)+qe*ND*(x>0)*(x-BW)*(x<-BW+WpE)+qe*ND*(x>-BW-WnE)*(x<-BW) Field=Sigma/Perm integrate field Field[x2pnt(Field,-BW+WpE), x2pnt(Field,-WpC)]=0 //Set to zero if it is now quite outside the depletion layers Field[x2pnt(Field, Wnc), Numpnts(Field)]=0 V=-Field Integrate V variable pn=ni2/ND //holes in n type variable np=ni2/NA //electrons in p type variable Ld=5e-4 LastMinCarrs=MinCarrs MinCarrs=(pn+pn*(exp(VBE/.025)-1)*exp((x+BW+WnE)/Ld))*(x<-BW-WnE) MinCarrs+=(pn+pn*(exp(VCB/.025)-1)*exp((-x+WnC)/Ld))*(x>WnC) MinCarrs+=np*exp(VBE/.025)*(1-((x+BW-WpE)/(BW-WpE-WpC))) *(x>-BW+WpE)*(x<-WpC) MinCarrs+=np*exp(VCB/.025)*(1+((WpC+x)/(BW-WpE-WpC))) *(x>-BW+WpE)*(x<-WpC) End Function ChangeScale(ctrlName,popNum,popStr) : PopupMenuControl String ctrlName Variable popNum String popStr If (PopNum==1) SetScale x -0.00015,5e-05,"",MinCarrs,LastMinCarrs, Sigma,Field,V Else SetScale x -0.0015,0.001,"", MinCarrs, LastMinCarrs,Sigma,Field,V Endif Plot("",0,"","") Plot("",0,"","") //Do twice to update lastMincarrs End