{"text_format":"1","workbook":"xlsx","n_sheets":15,"sheets":["Cover","carrier profile","PRC","Injection dependence","I-V curve","spectral","Luminescence","SRH Recombination","Optical","Generation","Mobility","2D plots","Efficiency vs doping","Front Jo","Back Jo"],"not_rendered":{"charts":33,"images":5,"macros":1,"external_links":1,"defined_names":151,"comments":3,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Cover","index":0,"n_rows":38,"n_cols":2,"rows_kept":38,"cut":false,"hidden":false,"merged":[]}
["About QsCell_PRC"]
[null,"Version Beta"]
[null,"Date: 15 Aug 2013"]
[null,"Lead Author: Andres Cuevas, The Australian National University"]
[null,"Contributing authors:  S. Baker-Finch, S. Hargreaves, R. Sinton, D. Yan"]
[null,"Acknowledgments: S. Bowden, K. Bothe, L. Black, E. Franklin, D. Macdonald, K. McIntosh, J. Swirhun "]
[]
["Cell colours for inputs and outputs"]
[1,"Green font on white background indicates the cell is an input to the main program.  Alter the numbers in these cells as desired."]
[2,"Black font on blue background indicates a primary result from the calculations. Do not enter values in such cells."]
[3,"Black font on yellow background indicates that a pull-down menu is available in that location."]
[4,"Black font on grey background indicates a secondary result from the calculations. Do not enter values in such cells."]
[5,"Dark grey font on grey background indicate background calculations. Do not enter values in such cells."]
[]
["Help"]
[null,"The main worksheet in this version is locked to prevent changes to non-input cells. Unlock with caution."]
[null,"Enter values only in cells with green text. Use pull down menus for defects, mobility, ARC, surface texture."]
[null,"Changes to the illumination, anti-reflection coating, or wafer thickness require the generation profile to be recalculated. If the generation button is red, push it."]
[null,"Recombination is modelled by selecting up to two SRH defects and the surface recombination at 300K (recombination at the operating temperature will be calculated automatically)."]
[null,"With the inputs defined and generation profile calculated, push the appropriate circuit parameter button to run the simulation."]
[null,"More advanced simulations and input parameters may be found in the appropriate sheets (e.g. optical, Injection dependence, spectral)."]
[]
["Additional information"]
[null,"The mathematical models are described in the papers below ."]
[null,"A. Cuevas and R. Sinton, Simple modelling of solar cells, Proc. 23rd European Photovoltaic Solar Energy Conf., Valencia, September 2008, pp. 315-319."]
[null,"A. Cuevas, Modelling Silicon Characterisation, Energy Procedia, vol.8, 94-99 (2011)."]
[]
[]
["What is new in this version?"]
[null,"improved determination of photogeneration including surface texturing, back mirror and light trapping"]
[null,"(note: the Luminescence module uses a simplified optical model, not the complete one implemented in the photogeneration module) "]
[null,"faster algorithm to determine the IV curve"]
[null,"better selection of node position, to increase the number of nodes near front and back surfaces"]
[null,"calculation of the Quasi-Fermi energies for electrons and holes"]
[null,"updated list of defect parameters for SRH recombination"]
[null,"updated interface"]
[null,"improved compatibility with p+nn+ configurations"]
[null,"goal-seeking accuracy increased"]

{"sheet":"carrier profile","index":1,"n_rows":222,"n_cols":33,"rows_kept":222,"cut":false,"hidden":false,"merged":[[3,5,3,8],[3,3,3,4],[3,9,3,10],[0,7,0,9],[3,11,3,15],[14,5,14,6],[6,9,6,11],[4,5,4,6],[12,0,12,2],[5,0,5,2],[13,7,13,15],[10,7,10,15],[9,0,9,1],[7,5,7,6],[7,7,7,8],[7,3,7,4],[6,3,6,4],[10,3,10,4]]}
["QsCell_PRC",null,null,"See the Cover worksheet for instructions.",null,null,null,{"$f":"IF(ABS(gen_rec)>10,\"Not Balanced\",\"\")","v":""},null,null,null,null,null,null,null,null,"Balance of carriers recombining or flowing out, as a fraction of absorbed carriers (Jph)",null,null,null,null,null,null,0]
["2012-06-05",null,null,null,"Select a spectrum, or choose monochromatic and then type-in the wavelength in nm. Press the button to run the macro that calculates the generation rate"]
[null,null,null,null,"Enter front and back surface recombination as Jof and Job at 300K. Select up to two SRH recombination defects. "]
["2013-08-15",null,"Structure","Temperature",null,"Shockley-Read-Hall Recombination",null,null,null,"Spectral Properties",null,"Monochromatic Light Characteristics",null,null,null,null,"R_front","R_back","R_bulk","R_total","Current out","note: these percentages do not apply to the PRC case"]
[null,"PRC",{"$f":"IF(Na>=Nd, \"n+pp+\",\"p+nn+\")","v":"n+pp+"},"Celsius","Kelvin","SRH fundamental lifetimes",null,"defects","density","Suns","Spectrum","Wavelength","I (W/cm2)","Transmission ","alpha (cm-1)","Nph (cm-3)",{"$f":"(Jof/N_i^2)*(N_front+p_o)*(N_front+n_o)/Jph","v":1.3215142009102636E-2},{"$f":"(Job/N_i^2)*(N_back+p_o)*(N_back+n_o)/Jph","v":0.16174528026012172},{"$f":"T5-R_front-R5","v":-0.15719547012696272},{"$f":"R10/Jph","v":1.7764952142261627E-2},{"$f":"J/Jph","v":10.348524603900437}]
["Silicon Wafer Properties",null,null,26.84,{"$f":"Celsius+273.16","v":300},"tno (s)","tpo (s)","none",1,1,"AM1.5Global",500,0.1,{"$f":"Generation!C7","v":0.99772878361312323},{"$f":"Generation!E7","v":11100},{"$f":"M6*Wavelength*0.000000001/($V$8*$W$8)","v":2.5170849320717782E+17}]
["acceptors","donors","thickness","Carrier Dynamics",null,{"$f":"'SRH Recombination'!I9","v":909090909090.90918},{"$f":"'SRH Recombination'!J9","v":909090909090.90918},"none",1,"Anti-Reflection Coating",null,null,null,"illumination",null,null,null,null,null,null,null,"h","c"]
["Na (cm-3)","Nd (cm-3)","W (cm)","Diffusion Length",null,"Surface Recombination",null,"Intrinsic Recombination",null,"SiN","d_arc (nm)","ambient","(1-shading)","front",null,null,"Generation - Recombination balance",null,null,null,null,6.6259999999999998E-34,299792458,{"$f":"IF(Na<Nd,1,-1)","v":-1}]
[4500000000000000,1,1.6E-2,"Ln (cm)","Lp (cm)","Jof (A/cm2)","Job (A/cm2)","Model","Rad. Recom","textured",75,"air",0.97,"front",null,null,"Gtotal","Rtotal","gen_rec",null,null,"ni","ni_300"]
["Eq. Carrier Densities",null,"resistivity",{"$f":"SQRT(tno*mu_n*kT_q)","v":5334160.052412034},{"$f":"SQRT(tpo*mu_p*kT_q)","v":3238399.4543733713},4E-14,9.9999999999999998E-13,"Richter",0.3,"Enter light trapping parameters in Generation sheet",null,null,null,"back",null,null,{"$f":"SUM(C22:C222)","v":0.40331174928304508},{"$f":"SUM(L22:L222)","v":6.9116474951755281E-4},{"$f":"1000000*($Q$10-$R$10-J)","v":-2.003397447936095E-7},null,null,{"$f":" 52900000000000000000*(T/300)^2.54*EXP(-6726/T)","v":9695570927.4000549},{"$f":" 52900000000000000000*(300/300)^2.54*EXP(-6726/300)","v":9695570927.4000549},null,"Front Optics Recalc?"]
["no","po","(Ω.cm)","Mobility, low inj (cm2/(V.s))",null,"Jof (T)","Job (T)","Calculation of Solar Cell Parameters",null,null,null,null,null,null,null,null,"Rs_equiv",null,"air","yes",null,"q","kT_q",null,false]
[{"$f":"IF(OR(Nd-Na>0, Nd-Na=0),(Nd-Na+SQRT((Nd-Na)^2+4*N_i^2))/2,N_i^2/p_o)","v":20889.799023957508},{"$f":"IF(OR(Na-Nd>0, Na-Nd=0),((Na-Nd)+SQRT((Na-Nd)^2+4*N_i^2))/2,N_i^2/n_o)","v":4500000000020889},{"$f":"1/(q*(p_o*mu_p+n_o*mu_n))","v":3.1081411927102551},"μ_n","μ_p",{"$f":"$F$10*N_i^2/ni_300^2","v":4E-14},{"$f":"$G$10*N_i^2/ni_300^2","v":9.9999999999999998E-13},"Jsc calculation","V_specified",null,{"$f":"IF($C$5=\"n+pp+\",n_o*EXP($I$13/kT_q)-n_o,p_o*EXP($I$13/kT_q)-p_o)","v":251119512065684.56},"generic",null,null,null,null,{"$f":"-Q14/J","v":4.758680059397033E-2},null,"EVA","no",null,1.6021773000000001E-19,{"$f":"0.00008617*T","v":2.5850999999999999E-2}]
["Excess Carrier Densities",null,null,{"$f":"Mobility!Q7","v":1210.7303319493708},{"$f":"Mobility!R7","v":446.24788707184717},null,null,"fast",0.6,null,null,"fast",null,"Fermi-Dirac",null,null,"base V drop","Vn+","Vp+","Vtot"]
["ΔNinit","ΔNfront","ΔNback","Mobility model",null,null,null,"Simulation Results",null,null,null,null,null,null,null,null,{"$f":"SUM(P23:P222)","v":-1.9159425471234285E-2},{"$f":"kT_q*LN((n_o+N_front)/n_o)","v":0.60031084392258582},{"$f":"kT_q*LN((p_o+N_back)/p_o)","v":7.2408125368946669E-4},{"$f":"SUM(Q14:S14)","v":0.58187549970504104},"Voltage components for n+pp+ ",null,null,"Boltzmann"]
[{"$f":"IF(Jof+Job=0,Jph*(tno+tpo)/(q*W),IF(-(p_o+n_o)/2+SQRT((p_o+n_o)^2+4*Jph*N_i^2/(Jof+Job))/2<10000000000,-(p_o+n_o)/2+SQRT((p_o+n_o)^2+4*Jph*N_i^2/(Jof+Job))/2,10000000000))","v":10000000000},{"$f":"PRC!J115","v":254157312104830.5},{"$f":"VLOOKUP(W,B22:K222,10)","v":127825916953475.34},"Klaassen","Mobility Sum","Equivalent SRV (cm/s)",null,"Effect. Lifetime","Current","Voltage","Efficiency","Photogen.","Absorbed","Collected %","implied Voc","Conductance",{"$f":"SUM(P23:P222)","v":-1.9159425471234285E-2},{"$f":"kT_q*LN((n_o+N_back)/n_o)","v":0.58254386265931335},{"$f":"kT_q*LN((p_o+N_front)/p_o)","v":1.4203072469903728E-3},{"$f":"R15+S15-Q15","v":0.60312359537753801},"Voltage components for p+nn+",null,null,"Fermi-Dirac"]
["ΔNmax","ΔNavg",{"$f":"INDEX($B$22:$B$222,IF(ISNUMBER(MATCH(N_av,$K$22:$K$222,-1)),MATCH(N_av,$K$22:$K$222,-1),MATCH(N_av,$K$22:$K$222,1)))","v":1.0100730959593586E-2},"QSSPC Mobility model","μ_n+μ_p","S_front","S_back","tau_eff (s)","J (A/cm2)","(V)","η (%)","Jph (A/cm2)","Photons","J /Jph","(V)","(S)"]
[{"$f":"MAX(K22:K222)","v":254208294947288.66},{"$f":"$P$17/$E$20/q/W","v":223953055005971.03},null,"yes",{"$f":"$P$17/$B$17/q/W","v":1684.7090908724977},{"$f":"IFERROR((Jof/N_i^2)*(N_front+p_o)*(N_front+n_o)/(q*N_front),0)","v":12.626302494945142},{"$f":"IFERROR((Job/N_i^2)*(N_back+p_o)*(N_back+n_o)/(q*N_back),0)","v":307.26964891010812},{"$f":"$P$17/$E$17/$Q$10","v":1.4234646092371695E-6},0.4026205845337279,{"$f":"IFERROR(IF($C$5=\"n+pp+\",(R14+S14+Q14),IF($C$5=\"p+nn+\",(R15+S15-Q15),\"choose structure\")),-1)","v":0.58187549970504104},{"$f":"IF(Spectrum=\"Monochromatic\",100*Voc*I18/intensity,Voc*I18/(0.001*suns))","v":21.546296456798707},{"$f":"shad*Generation!R2/1000","v":3.8906085644515663E-2},{"$f":"IF(Spectrum=\"monochromatic\",Jph/q/Nph,Jph/q/suns/Generation!Y7)","v":0.83601954172174919},{"$f":"I18/Jph","v":0.95175468054823897},{"$f":"kT_q*LN((N_av+p_o)*(N_av+n_o)/N_i^2)","v":0.59829579992959492},{"$f":"SUM(F23:F222)","v":9.671914917552414E-4}]
["near contact area","1D","J_lat",{"$f":"AVERAGE(K22:K222)","v":216761641515706.91},{"$f":"IF($D$17=\"yes\",1800*(1+10^(0.8431*LOG10((D18+Nd+Na)/1200000000000000000)))/(1+8.36*10^(0.8431*LOG10((D18+Nd+Na)/1200000000000000000))),IF($D$15=\"Arora_inj\",60*(T/300)^-0.57+(1417-60)*(T/300)^-2.33/(1+10^(0.664*(T/300)^-0.146*LOG10((ABS(Na+Nd)+D18)/(96400000000000000*(T/300)^-2.4))))+37.4*(T/300)^-0.57+(470-37.4)*(T/300)^-2.33/(1+10^(0.642*(T/300)^-0.146*LOG10((ABS(Na+Nd)+D18)/(282000000000000000*(T/300)^-2.4)))),mu_n+mu_p))","v":1684.8463268368682},null,"J_base",null,{"$f":"J*A19","v":3.7029049113978432E-2},null,null,null,null,null,null,null,null,"INTRINSIC LIFETIME",null,null,null,null,"FOR PLOTTING",null,"Efn(front)-Efp(back)",null,null,"Short-circuit profile (for PRC analysis only)",null,null,null,"n_av","n_integrated"]
[{"$f":"IF(B5=\"PRC\",PRC!B10,1)","v":9.1970084333520885E-2},"PRC",{"$f":"IF(B5=\"PRC\",PRC!K9/A19,0)","v":0.3644056729392775},{"$f":"$P$17/E18/q/W","v":223934813334319.47},{"$f":"IF($D$17=\"yes\",1800*(1+10^(0.8431*LOG10((D19+Nd+Na)/1200000000000000000)))/(1+8.36*10^(0.8431*LOG10((D19+Nd+Na)/1200000000000000000))),IF($D$15=\"Arora_inj\",60*(T/300)^-0.57+(1417-60)*(T/300)^-2.33/(1+10^(0.664*(T/300)^-0.146*LOG10((ABS(Na+Nd)+D19)/(96400000000000000*(T/300)^-2.4))))+37.4*(T/300)^-0.57+(470-37.4)*(T/300)^-2.33/(1+10^(0.642*(T/300)^-0.146*LOG10((ABS(Na+Nd)+D19)/(282000000000000000*(T/300)^-2.4)))),mu_n+mu_p))","v":1684.7094380317822},null,{"$f":"J-C19*(1-f_base)","v":0.20193204035750492},null,null,null,"excess",null,null,null,null,null,"tau_SRH_Richter",null,"Richter","tau_SRH_Kerr",null,null,null,null,{"$f":"X22-Y222","v":0.60146329020285338},null,null,"(no rear surface recombination)",null,null,null,{"$f":"AVERAGE(AB22:AB222)","v":7396976554051.9482},{"$f":"AG222/W","v":8153349311430.0098}]
[null,"position","generation",{"$f":"$P$17/E19/q/W","v":223953008857133.37},{"$f":"IF($D$17=\"yes\",1800*(1+10^(0.8431*LOG10((D20+Nd+Na)/1200000000000000000)))/(1+8.36*10^(0.8431*LOG10((D20+Nd+Na)/1200000000000000000))),IF($D$15=\"Arora_inj\",60*(T/300)^-0.57+(1417-60)*(T/300)^-2.33/(1+10^(0.664*(T/300)^-0.146*LOG10((ABS(Na+Nd)+D20)/(96400000000000000*(T/300)^-2.4))))+37.4*(T/300)^-0.57+(470-37.4)*(T/300)^-2.33/(1+10^(0.642*(T/300)^-0.146*LOG10((ABS(Na+Nd)+D20)/(282000000000000000*(T/300)^-2.4)))),mu_n+mu_p))","v":1684.7090908724977},"incremental",null,null,"second SRH",null,"carrier density","Recombination",{"$f":"IF($C$5=\"n+pp+\",\"hole\",IF($C$5=\"p+nn+\",\"electron\"))","v":"hole"},{"$f":"IF($C$5=\"n+pp+\",\"electron\",IF($C$5=\"p+nn+\",\"hole\"))","v":"electron"},"Electric","Potential",4.7E-2,null,"Kerr",3.5000000000000003E-2,"Cumulative","Cumulative ","Potential","Quasi-Fermi energies",null,"Electron J","Hole J"]
["node","x (cm)","(Amps/cm2)","A(x)/Ao","mu_sum","conductance","D_eff","tau_SRH","centre","tau_intrinsic","N","(in Amps/cm2)","current","current","field","(incremental)","tau_richt","g_eeh","g_ehh","tau_kerr","generation","recombination","(cumulative)","Efn","Efp",null,null,"n_sc","Rec","Deff","Jp","Jn","cumulative n"]
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[191,1.5911972824207001E-2,{"$f":"ABS(suns*Generation!P202*shad)","v":6.5067399787214966E-6},{"$f":"IF($B$5=\"PRC\", PRC!B206/$A$19,1)","v":7.6928103447522572E-2},1686.4658283658362,6.9087629126746473E-7,29.87901000908936,935026811627.26074,935026811627.26074,2.2878835327835356E-2,131367716933726.87,1.800933506397584E-8,0.40274245881425941,-1.2187428053150873E-4,7.7052943564358758,-1.4997288678068695E-4,2.2878835327835356E-2,13.999999974713964,8.1881663794723103,1.1618389831634695E-2,0.40328249523892523,5.4003642466599435E-4,0.58185732125926337,4.3068749687642635E-5,-0.60146383898702915,-1.2187428053150873E-4,0.40274245881425941,9494571439759.627,3.2515318030680993E-23,31.186287107874286,3.8876785098358388E-2,-1.1378820231781953E-3,129621136362.07622]
[192,{"$f":"(0+W)/2+((W-0)/2)*COS((2*200+1-2*A214)*PI()/(2*(200+1)))","v":1.5929503654589193E-2},{"$f":"ABS(suns*Generation!P203*shad)","v":5.8620206088255261E-6},{"$f":"IF($B$5=\"PRC\", PRC!B207/$A$19,1)","v":7.5864591772191056E-2},1686.4804293752279,6.1899547186287258E-7,29.886387362602921,934881680273.27185,934881680273.27185,2.2884031639210149E-2,130675179147887.87,1.6123865798592409E-8,0.40274830471100243,{"$f":"J-$M214","v":-1.2772017727452623E-4},7.8162744872504879,-1.370257822566415E-4,2.2884031639210149E-2,13.999999974713964,8.1881663794723103,1.1621378641934682E-2,0.40328835725953405,5.4005254853179297E-4,0.58172029547700677,4.3068289632732242E-5,-0.60146372791520231,{"$f":"IF(Na>Nd,N214,-M214)","v":-1.2772017727452623E-4},{"$f":"IF(Na>Nd,M214,-N214)","v":0.40274830471100243},9490572949996.0059,2.9272878325348856E-23,31.18633891734056,3.888264711896721E-2,{"$f":"shad*suns*Jph-AE214","v":-1.1437440437870178E-3},129787513986.69241]
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[194,1.5958750303000958E-2,{"$f":"ABS(suns*Generation!P205*shad)","v":4.5638652829074938E-6},{"$f":"IF($B$5=\"PRC\", PRC!B209/$A$19,1)","v":7.4069061848528392E-2},1686.505646077768,4.7775688813724718E-7,29.899147346681762,934630934125.36755,934630934125.36755,2.2892823571117563E-2,129504282223977.06,1.2426741319239554E-8,{"$f":"$M215+$C216-$L216","v":0.4027580561791454},-1.3747164541749735E-4,8.0110950557327296,-1.0937456513194192E-4,2.2892823571117563E-2,13.999999974713964,8.1881663794723103,1.1626547135565758E-2,0.40329813541816045,5.4007923901524949E-4,0.58148744286906406,4.3067478813455078E-5,-0.60146354397979052,-1.3747164541749735E-4,0.4027580561791454,9483859440598.1348,2.2779367280195385E-23,31.186427735772661,{"$f":"AE215+$C216-$AC216","v":3.8892425277593637E-2},-1.1535222024134442E-3,130064934063.38466]
[195,1.5970458976480306E-2,{"$f":"ABS(suns*Generation!P206*shad)","v":3.9110532239711918E-6},{"$f":"IF($B$5=\"PRC\", PRC!B210/$A$19,1)","v":7.3334293417825103E-2},1686.5161811543205,4.0822414897523551E-7,29.904485341526463,934526140665.62732,934526140665.62732,2.2896388858726614E-2,129029766322947.72,1.061048916233368E-8,0.40276195662188019,-1.4137208815229174E-4,8.0936767500994193,-9.4766218314303301E-5,2.2896388858726614E-2,13.999999974713964,8.1881663794723103,1.1628708953128123E-2,0.4033020464713844,5.400898495044118E-4,0.58139267665074978,4.306713966577659E-5,-0.6014634709088319,-1.4137208815229174E-4,0.40276195662188019,9481156924393.3906,1.9529062897771543E-23,31.186464578082365,3.8896336330817606E-2,-1.1574332556374134E-3,{"$f":"AG216+AB217*(B217-B216)","v":130175945834.01884}]
[196,1.598022057747208E-2,{"$f":"ABS(suns*Generation!P207*shad)","v":3.2561825892842991E-6},{"$f":"IF($B$5=\"PRC\", PRC!B211/$A$19,1)","v":7.2706618338274409E-2},1686.5252858344681,3.3929048368226537E-7,29.90910195171271,934435558256.09888,934435558256.09888,2.2899382570559138E-2,128631459084365.02,8.8124722828189886E-9,0.40276520399199717,-1.4461945826926836E-4,8.1656150946175874,-7.9709476406065414E-5,2.2899382570559138E-2,13.999999974713964,8.1881663794723103,1.1630578451863922E-2,0.40330530265397369,5.4009866197669463E-4,0.58131296717434366,4.3066851005836089E-5,-0.60146341029418571,-1.4461945826926836E-4,0.40276520399199717,9478897479572.5332,1.6276883165506846E-23,31.186496281214119,3.889959251340689E-2,-1.1606894382266975E-3,130268475049.05637]
[197,1.5988032721352664E-2,{"$f":"ABS(suns*Generation!P208*shad)","v":2.5995863010598334E-6},{"$f":"IF($B$5=\"PRC\", PRC!B212/$A$19,1)","v":7.2185057655425627E-2},1686.5329284760003,2.7085624370151937E-7,29.91297964370191,934359509312.5813,934359509312.5813,2.2901793336603818E-2,128310801771390.45,7.0300515916576823E-9,0.40276779654824663,-1.4721201451872723E-4,8.2264148618321489,-6.4265936522006737E-5,2.2901793336603818E-2,13.999999974713964,8.1881663794723103,1.1632148607505667E-2,0.40330790224027474,5.4010569202828627E-4,0.58124870123782169,4.306661646090737E-5,-0.60146336202727713,-1.4721201451872723E-4,0.40276779654824663,9477085211166.6855,1.3023182776354306E-23,31.186522786797227,3.8902192099707952E-2,-1.1632890245277597E-3,130342511402.29456]
[198,1.5993893499723744E-2,{"$f":"ABS(suns*Generation!P209*shad)","v":1.9416036071073312E-6},{"$f":"IF($B$5=\"PRC\", PRC!B213/$A$19,1)","v":7.1768793511744686E-2},1686.5390813185886,2.028179469722822E-7,29.916103054982226,934298276586.68103,934298276586.68103,2.2903611470336427E-2,128069024073960.41,5.2604769714506862E-9,0.40276973289137674,-1.4914835764884282E-4,8.2756460515610044,-4.8501727385696457E-5,2.2903611470336427E-2,13.999999974713964,8.1881663794723103,1.1633413262786262E-2,0.40330984384388185,5.4011095250525772E-4,0.581200199510436,4.3066438753108908E-5,-0.60146332599760077,-1.4914835764884282E-4,0.40276973289137674,9475723353106.7969,9.768307764720587E-24,31.186544046617573,3.8904133703315059E-2,-1.1652306281348668E-3,130398046516.77278]
[199,1.5997801480878527E-2,{"$f":"ABS(suns*Generation!P210*shad)","v":1.2825788657649234E-6},{"$f":"IF($B$5=\"PRC\", PRC!B214/$A$19,1)","v":7.1457170270012638E-2},1686.5437206801373,1.350689150204935E-7,29.918459115883003,934252101102.61426,934252101102.61426,2.2904829043535233E-2,127907135292265.48,3.5009030209411942E-9,0.40277101196933951,-1.5042743561161087E-4,8.3129404746960578,-3.2486814715947782E-5,2.2904829043535233E-2,13.999999974713964,8.1881663794723103,1.1634367176542388E-2,0.40331112642274763,5.4011445340827865E-4,0.5811677126957201,4.3066319690973615E-5,-0.60146330209274057,-1.5042743561161087E-4,0.40277101196933951,9474814263325.1465,6.5125971433942247E-24,31.186560022690905,3.8905416282180826E-2,-1.1665132070006329E-3,130435073912.35893]
[200,1.5999755710151463E-2,{"$f":"ABS(suns*Generation!P211*shad)","v":6.2286029746947561E-7},{"$f":"IF($B$5=\"PRC\", PRC!B215/$A$19,1)","v":7.1249695413458686E-2},1686.546827127466,6.7499943513667296E-8,29.920037155332047,934221180364.40186,934221180364.40186,2.2905439948781206E-2,127825916953475.34,{"$f":"q*K221*(B222-B221)*(1/H222+1/J222)+(Job/N_i^2)*((K222+p_o)*(K222+n_o)-N_i^2)*IF(B5=\"PRC\",(f_c/A19),1)","v":1.5105029610927413E-4},0.40262058453352767,2.0022872249114698E-13,8.3379389478497217,-1.6294244367840267E-5,2.2905439948781206E-2,13.999999974713964,8.1881663794723103,1.1635006066364639E-2,0.40331174928304508,6.9116474951755281E-4,{"$f":"IF(Na<Nd,-$T$15,$T$14)","v":0.58187549970504104},4.3066319690973696E-5,-0.60146329020285338,2.0022872249114698E-13,0.40262058453352767,9474359420173.9199,3.256384564641852E-24,31.186570687320678,3.8906039142478296E-2,-1.1671360672981038E-3,130453588982.88016]

{"sheet":"PRC","index":2,"n_rows":215,"n_cols":24,"rows_kept":215,"cut":false,"hidden":false,"merged":[]}
["Partial Rear Contact Cell analysis",null,null,null,null,null,null,null,null,null,"Rf","Rb","Jof","Jo_cont","Jo_pass","structure","SRV (low injection)",null,"Enter W, doping and Jo values on main page"]
[null,null,"contact width",null,null,null,null,null,null,null,120,150,{"$f":"'carrier profile'!F10","v":4E-14},{"$f":"Jo","v":9.9999999999999998E-13},8E-14,{"$f":"'carrier profile'!C5","v":"n+pp+"},"S_cont","S_pass","enter Jo_pass of the back side in cell O2"]
[null,null,"or diameter","pitch",null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$N$2/(q*N_i^2/(Na+Nd))","v":298.78250493344518},{"$f":"$O$2/(q*N_i^2/(Na+Nd))","v":23.902600394675616},"press button to find optimum pitch"]
["contact shape","points pattern","d","P","Ao","f_c",null,null,null,"rho_contact","Rs_contact","Rs_lat back layer points","Rs_lat back layer lines","Rs_additional"]
["squares","square",4.0000000000000001E-3,8.5133992252078489E-2,{"$f":"IF($A$5=\"lines\",p,IF($B$5=\"square\",p^2, IF($B$5=\"hexagonal\",(3/4)^(1/2)*p^2, )))","v":7.2477966367769601E-3},{"$f":"IF($A$5=\"lines\",d/p,IF($A$5=\"circles\",PI()*(d/2)^2/Ao,d^2/Ao))","v":2.2075674583379424E-3},null,null,null,0,{"$f":"$J$5/$F$5","v":0},{"$f":"IF(Rb<1000,Rb*(1-f_base),0)*Ao/(2*PI())*(y_min^2/(y_min^2-(d/2)^2)*LN(y_min/d/2)-1/2)","v":1.0557221629424017E-2},{"$f":"(IF(Rb<1000,Rb*(1-f_base),0))/2*Ao/2*(y_min-d/2)","v":1.8809817597094081E-3},{"$f":"IF($A$5=\"lines\",K5+M5,K5+L5)","v":1.0557221629424017E-2}]
["circles","square",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"P_optimum","Eff_max","Jsc","Voc","FF"]
["squares","hexagonal",null,null,null,null,null,null,null,null,null,null,null,"for ploting",null,null,null,null,null,{"$f":"INDEX(R15:R34,MATCH(U7,X15:X34,0))","v":2.349237886176039E-2},{"$f":"MAX(X15:X34)","v":22.902309245730738},{"$f":"INDEX(S15:S34,MATCH($U7,X15:X34,0))","v":3.8886479787701003E-2},{"$f":"INDEX(T15:T34,MATCH($U7,X15:X34,0))","v":0.69793561432344797},{"$f":"INDEX(W15:W34,MATCH($U7,X15:X34,0))","v":0.84385005725745132}]
["lines",null,null,null,null,null,null,null,"Recombination balance ",null,"J_lat (A)",null,null,null,"n_back"]
[null,"near contact area",null,"current partition, f_base",null,null,null,null,"crowding region",{"$f":"'carrier profile'!R10*IF($A$5=\"lines\",2*y_min,PI()*y_min^2)/Ao","v":6.3566480301486172E-5},{"$f":"IF((suns*Jph*IF($A$5=\"lines\",2*(y_max-y_min),PI()*y_max^2-PI()*y_min^2)-IF($A$5=\"lines\",2*SUM(G15:G115),SUM(G15:G115)))/Ao>0,(suns*Jph*IF($A$5=\"lines\",2*(y_max-y_min),PI()*y_max^2-PI()*y_min^2)-IF($A$5=\"lines\",2*SUM(G15:G115),SUM(G15:G115)))/Ao,0)","v":3.3514420471838779E-2},null,null,0,{"$f":"O215","v":127825916953475.34},null,"p_min",{"$f":"IF($A$5=\"lines\",1.01*d,d)","v":4.0000000000000001E-3},"Specify minimum pitch"]
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[null,null,null,null,null,"y_max","y_min",null,null,null,"I_lat (mA)",null,"n_av_sc",null,"n_front",null,"p_values",20,"choose a number of points "]
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{"sheet":"Injection dependence","index":3,"n_rows":110,"n_cols":23,"rows_kept":110,"cut":false,"hidden":false,"merged":[]}
["Injection dependent effective lifetime and Illumination-Voc curves",null,null,null,null,null,null,null,null,null,"Surface saturation currents",null,"Results",null,"llifetime extrapolation"]
[null,null,null,null,null,null,null,null,null,null,"Jof","Job","Jo (2-side averaged)",null,"to minus doping",null,null,null,"for plotting only"]
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["MinSuns",1E-4,"Specify minimum illumination intensity",null,null,null,null,null,null,null,"SRH carrier lifetimes",null,"ideal"]
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{"sheet":"I-V curve","index":4,"n_rows":610,"n_cols":26,"rows_kept":610,"cut":false,"hidden":false,"merged":[]}
["I-V curve",null,null,null,null,"ideal device, no extrinsic series or shunt resistance effects",null,null,null,null,null,null,"irradiance","Surface recombination parameters"]
[null,null,null,null,"tau-eff at Voc","Jsc","Voc","Jmp","Vmp","FF","efficiency","power","suns","Jof","Job"]
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[2,"J","V","Power","J","V","Pout","Jout","Vout",null,null,null,null,null,null,"Vmp and Jmp",{"$f":"VLOOKUP($L$7,G10:I110,3,FALSE)","v":{"$error":"#N/A"}},{"$f":"VLOOKUP($L$7,G10:I110,2,FALSE)","v":{"$error":"#N/A"}}]
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{"sheet":"spectral","index":5,"n_rows":103,"n_cols":17,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,null,null,"Preferably, select the Jsc calculation mode in the main sheet to fast. For high resistivity substrates you may need to select Jsc \"generic\" calculation to achieve convergence "]
[null,null,"Plank constant","speed light",null,null,null,"Note: you may select in the main sheet a non-zero emitter thickness to represent losses in the emitter."]
[null,"lambda to energy","h (eV/s)","c (cm/s)",null,null,null,"such thickness is considered to be an extra layer of silicon that absorbs photons but is electronically inactive (dead)"]
[null,{"$f":"C4*D4*10000","v":1.2398418743309971},4.1356673300000001E-15,29979245800,null,null,null,"The spectral response can be strongly dependent on the injection level, that is, on the monochromatic intensity chosen in the main sheet."]
["selected ","selected","selected","selected","Selected",null,null,"WARNING: this macro takes some time!"]
["spectrum","Wavelengh","alpha","Transmission","Nph_monochr",null,null,null,null,null,"suns used in calculation","Suns setting","Jph(1sun)","illumination","Jsc calculation mode"]
[{"$f":"Spectrum","v":"AM1.5Global"},{"$f":"VLOOKUP(Wavelength,A10:E99,1)","v":500},{"$f":"VLOOKUP(Wavelength,A10:C99,3)","v":13800},{"$f":"Generation!C7","v":0.99772878361312323},{"$f":"Nph","v":2.5170849320717782E+17},null,null,null,null,null,1E-3,{"$f":"suns","v":1},{"$f":"'carrier profile'!M6","v":0.1},{"$f":"'carrier profile'!N8","v":"front"},{"$f":"'carrier profile'!H13","v":"fast"},null,"Alpha Si"]
["lambda","photon energy","Alpha Si","Transmission","current","Nph","suns","EQE","IQE","Jph",null,null,null,null,null,null,"(from PC1D)"]
["nm","eV",null,"factor",null,"(transmitted )",null,null,null,null,null,"dead layer","Jof (T)","Job (T)",null,null,"(not used)"]
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{"sheet":"Luminescence","index":6,"n_rows":210,"n_cols":21,"rows_kept":210,"cut":false,"hidden":false,"merged":[]}
["Instructions: enter the quantum efficieny of the PL camera at 1000 nm (typical values are between 5% and 40%). This establishes a \"Si detector thickness\" and a responseivity vs. wavelenght ",null,null,null,null,null,null,null,null,null,null,null,"Total","detector quantum","Total"]
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{"sheet":"SRH Recombination","index":7,"n_rows":46,"n_cols":15,"rows_kept":46,"cut":false,"hidden":false,"merged":[]}
["Shockley-Read-Hall RECOMBINATION PARAMETERS",null,null,null,null,null,null," Note that some of these recombination parameters have been measured at temperatures different from 300K and their values at 300K may be different (but unknown to us)"]
["Go to the \"carrier profile\" sheet and select the desired defect and enter the concentration of defect centres, Nt. The parameters tau_no, tau_po, n_1 and p_1 will be automatically calculated."]
["To model the BO defect in boron-doped Si enter the value for the interstitial oxygen O_i in the cell corresponding to the SECOND defect density"]
["Use the \"custom\" defect to enter other energy level or capture cross sections. Select \"none\" for negligible SRH recombination."]
["Defects selected",null,null,null,"Recombination parameters"]
["Defect",{"$f":"'carrier profile'!$H$6","v":"none"},{"$f":"'carrier profile'!$H$7","v":"none"},null,"Defect","Ec-Et","sn ","sp ","tno","tpo","n_1","p_1","k","Notes","Reference"]
["Nt (cm-3):",{"$f":"'carrier profile'!$I$6","v":1},{"$f":"'carrier profile'!$I$7","v":1},null,null,"(eV)","(cm2)","(cm2)","(s)","(s)","(cm-3)","(cm-3)","sn /sp "]
[null,null,null,null,"Used for calculations:"]
[null,null,null,null,{"$f":"$B$6","v":"none"},{"$f":"INDEX(F$13:F$34,MATCH($E$9,$E$13:$E$34,0))","v":0.55000000000000004},{"$f":"INDEX(G$13:G$34,MATCH($E$9,$E$13:$E$34,0))","v":9.9999999999999998E-20},{"$f":"INDEX(H$13:H$34,MATCH($E$9,$E$13:$E$34,0))","v":9.9999999999999998E-20},{"$f":"IF($E$9=\"custom2\",Nt,IF($E$9=\"BO_degr\",$I$15,IF($E$9=\"BO_cured\",$I$16,1/(Nt*$G9*vth))))","v":909090909090.90918},{"$f":"IF($E$9=\"custom2\",Nt,IF($E$9=\"BO_degr\",$J$15,IF($E$9=\"BO_cured\",$J$16,1/(Nt*$H9*vth))))","v":909090909090.90918},{"$f":"Nc*EXP(-$F9/kT_q)","v":16459451268.006521},{"$f":"Nv*EXP(($F9-Eg)/kT_q)","v":7023169891.9179535},{"$f":"G9/H9","v":1},{"$f":"INDEX(N$17:N$37,MATCH($E$9,$E$17:$E$37,0))","v":{"$error":"#N/A"}},{"$f":"INDEX(O$17:O$37,MATCH($E$9,$E$17:$E$37,0))","v":{"$error":"#N/A"}}]
["Defect parameters for BO_degr",null,null,null,null,null,null,null,"tno2","tpo2","n_12","p_12"]
["tau_d enhancement",null,2,null,{"$f":"$C$6","v":"none"},{"$f":"INDEX(F$13:F$34,MATCH($E$11,$E$13:$E$34,0))","v":0.55000000000000004},{"$f":"INDEX(G$13:G$34,MATCH($E$11,$E$13:$E$34,0))","v":9.9999999999999998E-20},{"$f":"INDEX(H$13:H$34,MATCH($E$11,$E$13:$E$34,0))","v":9.9999999999999998E-20},{"$f":"IF($E$11=\"BO_degr\",$I$15,IF($E$11=\"BO_cured\",$I$16,1/(Nt_2*$G11*vth)))","v":909090909090.90918},{"$f":"IF($E$11=\"BO_degr\",$J$15,IF($E$11=\"BO_cured\",$J$16,1/(Nt_2*$H11*vth)))","v":909090909090.90918},{"$f":"Nc*EXP(-$F11/kT_q)","v":16459451268.006521},{"$f":"Nv*EXP(($F11-Eg)/kT_q)","v":7023169891.9179535},{"$f":"G11/H11","v":1},{"$f":"INDEX(N$13:N$34,MATCH($E$11,$E$13:$E$34,0))","v":0},{"$f":"INDEX(O$13:O$34,MATCH($E$11,$E$13:$E$34,0))","v":0}]
["Oi","cm-3",{"$f":"IF($B$6=\"BO_degr\",$B$7,IF($C$6=\"BO_degr\",$C$7,\"\"))","v":""}]
["Enter Oi as BO defect density",null,null,null,"none",0.55000000000000004,9.9999999999999998E-20,9.9999999999999998E-20,1000000000,1000000000,10000000000,10000000000,{"$f":"G13/H13","v":1}]
["typical in CZ Si is Oi=7E17 cm-3",null,null,null,"custom",0.56000000000000005,1E-14,1E-14,{"$f":"1/(Nt*$G14*vth)","v":9090909.0909090899},{"$f":"1/(Nt*$H14*vth)","v":9090909.0909090899},{"$f":"Nc*EXP(-$F14/kT_q)","v":11179342174.767307},{"$f":"Nv*EXP(($F14-Eg)/kT_q)","v":10340279488.346575},{"$f":"G14/H14","v":1}]
["Silicon parameters",null,null,null,"BO_degr",0.41,"n.a.","n.a.",{"$f":"IF(OR($B$6=\"BO_degr\",$C$6=\"BO_degr\"),$C$11*0.524*(7.675E+39*p_o^-0.824*$C$12^-1.748),\"n.a.\")","v":"n.a."},{"$f":"$I$15*10","v":{"$error":"#VALUE!"}},3701713462659.9536,31228111.994354378,0.1,"BO degraded state in p-type Si","Bothe et al., Prog. Photovolt: Res.Appl. Vol. 13 p.287 (2005)"]
["Nv:",{"$f":"31000000000000000000*(T/300)^1.85","v":3.1E+19},"cm-3",null,"BO_cured",0.56200000000000006,"n.a.","n.a.",{"$f":"IF(OR($B$6=\"BO_cured\",$C$6=\"BO_cured\"),0.000001*5.25E+25*p_o^(-1.46),\"n.a.\")","v":"n.a."},{"$f":"$I$16*10","v":{"$error":"#VALUE!"}},10347047158.98617,11172030126.736244,0.1,"BO cured (deactivated) state in p-type Si","Schmidt et al., IEEE JPV, 2012, to be published"]
["Nc:",{"$f":"28600000000000000000*(T/300)^1.58","v":2.86E+19},"cm-3",null,"Au_a",0.55000000000000004,1.4000000000000001E-16,7.6000000000000004E-15,{"$f":"1/(Nt*$G17*vth)","v":649350649.35064936},{"$f":"1/(Nt*$H17*vth)","v":11961722.488038277},{"$f":"Nc*EXP(-$F17/kT_q)","v":16459451268.006521},7023169891.9179535,1.8421052631578946E-2,"Au (sub. acceptor), dominant in n-Si","K. Graff, 'Metal impurities in silicon-device fabrication', 2nd Ed (Springer, 2000)"]
["Eg:",{"$f":"(IF(T<190,1.17+0.00001059*T-0.000000605*T^2,(IF(T<250,1.1785-0.00009025*T-0.000000305*T^2,1.206-0.000273*T))))","v":1.1240999999999999},"V",null,"Au_d",0.77700000000000002,1.9000000000000001E-15,2.7000000000000001E-15,{"$f":"1/(Nt*$G18*vth)","v":47846889.952153109},33670033.670033671,{"$f":"Nc*EXP(-$F18/kT_q)","v":2528341.3524237964},45720694506751.195,{"$f":"G18/H18","v":0.70370370370370372},"Au (sub. donor) dominant in p-Si for Na>1E14","Dubois et al. J. Appl. Phys 100,12502 (2006) for sigma p, and Graff (2000) for sigma n."]
["vth:",{"$f":"11000000*(T/300)^0.5","v":11000000},"cm/s",null,"Co_a",0.38,2.9999999999999998E-15,2E-14,{"$f":"1/(Nt*$G19*vth)","v":30303030.303030305},4545454.5454545449,11814085464781.369,{"$f":"Nv*EXP(($F19-Eg)/kT_q)","v":9784720.3600785714},0.15,"Co (sub. acceptor), dominant in n-Si","Diez et al., J.Appl. Phys. 101,033710, 2007."]
["ni:",{"$f":"N_i","v":9695570927.4000549},"cm-3",null,"Co_d",0.71409999999999996,1.6000000000000001E-14,1.0000000000000001E-15,5681818.1818181816,90909090.909090906,28810451.71092049,4012346760225.8389,16,"Co (sub. donor), dominant in p-Si","Diez et al., J.Appl. Phys. 101,033710, 2007."]
["ni (alternative):",{"$f":"SQRT(Nc*Nv*EXP(-Eg/kT_q))","v":10751628833.946705},"cm-3",null,"Cr_d",0.24,2E-14,4.0000000000000003E-15,4545454.5454545449,22727272.727272727,{"$f":"Nc*EXP(-$F21/kT_q)","v":2656975527428561},43507.183784575704,5,"Cr (int. donor) dominant in n-Si","Scmidt et al., J.Appl. Phys. 102, 123701, 2007, and Habenicht et al. J. Appl. Phys.  108, 043909 (2010)"]
[null,null,null,null,"CrB_d",0.85499999999999998,2E-14,1E-14,{"$f":"1/(Nt*$G22*vth)","v":4545454.5454545449},9090909.0909090899,123720.79505987212,934341898845812.87,2,"CrB (donor) dominant in p-Si","Habenicht et al. J. Appl. Phys.  108, 043909 (2010)"]
["Calculated tau in low injection",null,null,null,"Fe_d",0.74464600000000003,1.3E-14,7.0000000000000003E-17,6993006.9930069931,1298701298.7012987,8838529.3134034853,{"$f":"Nv*EXP(($F23-Eg)/kT_q)","v":13078818713386.291},185.71428571428569,"Fe (int. donor), dominant in n-Si, and p-Si silicon under illumination","Istratov et al. Appl. Phys. A: Mater. Sci. Process. vol 69 p. 13 (1999),  and Macdonald et al. J. Appl. Phys. 103, 073710 (2008)."]
["SRH low inj",{"$f":"(tno*(p_o+p_1)+tpo*(n_o+n_1))/(n_o+p_o)","v":909095653054.77979},"s",null,"FeB_a",0.26,5E-15,2.9999999999999998E-15,18181818.18181818,30303030.303030305,1225714567585734.5,94310.311421560822,1.6666666666666667,"FeB (acceptor), dominant in p-Si in the dark","Macdonald et al., Appl. Phys. Lett. 89, 142107(2006)"]
["Estimated tau for hyperpure Si",null,null,null,"FeGa_d",0.92400000000000004,4E-14,2E-14,2272727.2727272725,4545454.5454545449,8575.2914527746216,1.3480302473632184E+16,{"$f":"G25/H25","v":2},"FeGa (donor), dominant in Gallium doped p-Si in the dark","Schmidt et al., Appl. Phys. Lett. 97, 113712(2005)"]
["SRH FZ Si",{"$f":"0.035/(1+(Na+Nd)/10000000000000000)","v":2.4137931034482758E-2},"s",null,"Mo_d",0.75,2.0000000000000002E-15,1.7999999999999999E-16,45454545.454545453,505050505.0505051,7185107.7730256096,16088488333735.443,11.111111111111112,"Mo (int. donor)","Paudyal et al. J. Appl. Phys. 107, 054511 (2010)."]
[null,null,null,null,"Ni(nSi)",0.93400000000000005,3.9999999999999999E-12,1.0000000000000001E-15,22727.272727272728,90909090.909090906,5824.3811314212417,1.9847176888773868E+16,{"$f":"G27/H27","v":3999.9999999999995},"Nickel, dominant in n-Si","S.Rein, Lifetime Spectroscopy, Springer, Berlin, 2005."]
[null,{"$f":"MIN(I9,J9,tno_2,tpo_2)","v":909090909090.90918},null,null,"Ni(pSi)",0.4,5.5999999999999998E-17,8.0000000000000006E-17,1623376623.3766236,1136363636.3636363,5450067758395.9238,21210290.900489189,{"$f":"G28/H28","v":0.7},"Nickel, dominant in p-Si","S.Rein, Lifetime Spectroscopy, Springer, Berlin, 2005."]
[null,null,null,null,"Ti_d",0.27,3.1E-14,1.4000000000000001E-15,2932551.319648094,64935064.935064927,832511505791983.12,138853.96391366961,22.142857142857142,"Ti (int. donor) dominant in n-type Si","Wang et al. Phys. Rev. B vol 30 p. 5896 (1984)"]
[null,null,null,null,"Ti_dd",0.86499999999999999,1.4999999999999999E-15,3.6999999999999997E-17,60606060.606060609,2457002457.0024571,84031.786940372403,1375640418845077,40.54054054054054,"Ti (int. double donor) dominant in p-Si for Na>1E15","Paudyal et al. J. Appl. Phys. 124510 (2009)"]
[null,null,null,null,"V_dd",0.76459999999999995,5.0000000000000002E-14,2.9999999999999998E-18,1818181.8181818181,30303030303.030308,4084647.6176662836,28300488414959.008,16666.666666666668,"V (int. double donor)","L. Tilly et al. Phys. Rev. B vol 44 p. 12809 (1991), and J. P. Kalejs et al. Proc. 23rd IEEE PVSC, Louisville p. 184 (1993)"]
[null,null,null,null,"W_d",0.78410000000000002,4.7999999999999999E-15,5.0000000000000004E-16,18939393.939393941,181818181.81818181,1921128.1889947064,60171686223314.852,9.6,"W (int. donor)","Diez et al. Proc. 20th Europ. PVSEC, Barcelona (2005), hole cross section from Graff used to convert Diez's k into cross sections - uncertain"]
[null,null,null,null,"Zn_a",0.79800000000000004,2.0000000000000002E-15,4.5999999999999998E-15,45454545.454545453,19762845.849802371,1122115.5763372064,103017483243826.05,0.43478260869565222,"Zn (sub. acceptor)","Sah et al. IEEE Trans. Elec. Dev. Vol 28 p. 304 (1981)"]
[null,null,null,null,"Zn_aa",0.46,1.7000000000000001E-19,5.5000000000000002E-15,534759358288.76996,16528925.61983471,535065909772.43512,216043520.00694364,{"$f":"G34/H34","v":3.0909090909090909E-5},"Zn (sub. double acceptor)","Sah et al. IEEE Trans. Elec. Dev. Vol 28 p. 304 (1981)"]
[]
[]
[]
["Notes on the calculations"]
["low-inj tau_SRH calculated with equation:"]
[]
[]
[]
[]
[]
[]
["tau_SRH for hyper-pure FZ silicon calculated with an empirical formula:"]

{"sheet":"Optical","index":8,"n_rows":103,"n_cols":35,"rows_kept":103,"cut":false,"hidden":false,"merged":[]}
["coating","ambient","surface",null,"Reflectivity and optical transmission calculations",null,null,null,null,"see: S. Baker-Finch and K.R. McIntosh, Progress in PV 19, p.406 (2011)"]
["SiN","air","flat"]
["SiO2","EVA","textured",null,"in \"carrier profile\" sheet, choose n_ext=1 for air or n_ext=1.46 for glass"]
["ITO",null,null,null,"you may enter n and k values in the \"custom columns\", currently they contain data for a 2.05 refractive index SiN"]
["custom","selected","selected ARC",null,"selected surface"]
["zero reflection",{"$f":"'carrier profile'!$L$9","v":"air"},{"$f":"'carrier profile'!$J$8","v":"SiN"},null,{"$f":"'carrier profile'!$J$9","v":"textured"}]
[null,null,null,null,null,null,"SiN (n=2.3) (S. Winderbaum)",null,"SiN (n=1.86), From Baker-Finch, PiPV 19, p.406 (2011)",null,null,null,null,null,"EVA from Baker-Finch, PiPV 19, p.406 (2011)",null,null,null,null,null,null,null,"SiN (n=2.3) (S. Winderbaum)",null,"SiN (n=2.05), industrial PECVD (courtesy of S. Winderbaum)"]
["Wavelength\n (nm)","Silicon Refractive Index","Silicon extinction coeff (k)","external refractive index (n_ext)","selected ARC Refractive Index (n_arc)","selected ARC extinction coeff. (k)","Custom Refractive Index ","Custom extinction coeff. (k)","SiN Refractive Index ","SiN extinction coeff. (k)","ITO Refractive Index ","ITO extinction coeff. (k)","SiO2 Refractive Index ","SiO2 extinction coeff. (k)","EVA refractive index","Air refractive index","Reflectance (/1)","Transmittance into absorber (/1)","Thin film ARC absorptance",null,null,null,"Custom Refractive Index ","Custom extinction coeff. (k)","SiN Refractive Index ","SiN extinction coeff. (k)"]
[null,null,null,{"$f":"INDEX(O9:P9,0,MATCH($B$6,$O$9:$P$9,0))","v":"air"},{"$f":"INDEX(G9:N9,0,MATCH($C$6,$G$9:$N$9,0))","v":"SiN"},null,"custom",null,"SiN",null,"ITO",null,"SiO2",null,"EVA","air",null,null,null,null,null,null,"custom",null,"SiN"]
[310,5.0739999999999998,3.552338329811104,{"$f":"INDEX(O10:P99,0,MATCH($B$6,$O$9:$P$9,0))","v":1},{"$f":"INDEX(G10:N100,0,MATCH($C$6,$G$9:$N$9,0))","v":2.0279669980433583},{"$f":"INDEX(G10:N99,0,MATCH($C$6,$G$9:$N$9,0)+1)","v":2.6808172201823237E-2},2.4323440133868375,0.19481458994652301,{"$f":"1.81+20.11*10^3*$A10^(-2)+8.04*10^7*$A10^(-4)","v":2.0279669980433583},{"$f":"0.01-4.93*10^3*$A10^(-2)+6.29*10^8*$A10^(-4)","v":2.6808172201823237E-2},2.4054000000000002,0.36230000000000001,1.46,0,{"$f":"1.483-4.5*10^(-9)*$A10^(-2)+33.9*10^2*$A10^(-2)+3*10^(-6)*$A10^(-4)","v":1.5182757544224301},1,0.2891175401580553,0.59714237211611931,0,{"$f":"Q10+R10+S10","v":0.88625991227417455},null,null,2.6450089999999999,0.5617105,2.4323440133868375,0.19481458994652301]
[320,5.1020000000000003,3.2594932345220169,{"$f":"INDEX(O11:P100,0,MATCH($B$6,$O$9:$P$9,0))","v":1},{"$f":"INDEX(G11:N101,0,MATCH($C$6,$G$9:$N$9,0))","v":2.0140542602539062},{"$f":"INDEX(G11:N100,0,MATCH($C$6,$G$9:$N$9,0)+1)","v":2.1841583251953123E-2},2.4323440133868375,0.19481458994652301,{"$f":"1.81+20.11*10^3*$A11^(-2)+8.04*10^7*$A11^(-4)","v":2.0140542602539062},{"$f":"0.01-4.93*10^3*$A11^(-2)+6.29*10^8*$A11^(-4)","v":2.1841583251953123E-2},2.4055,0.29643999999999998,1.46,0,{"$f":"1.483-4.5*10^(-9)*$A11^(-2)+33.9*10^2*$A11^(-2)+3*10^(-6)*$A11^(-4)","v":1.5161054687499564},1,0.27838495126891438,0.62852762703108445,0,{"$f":"Q11+R11+S11","v":0.90691257829999883},null,null,2.6524160000000001,0.51183350000000005,2.4323440133868375,0.19481458994652301]
[330,5.1790000000000003,3.0724861763890394,1,2.00144437108374,1.7768055376369926E-2,2.4323440133868375,0.19481458994652301,2.00144437108374,1.7768055376369926E-2,2.3942999999999999,0.23835999999999999,1.46,0,1.514129476583981,1,0.26781569118836479,0.65530069038005168,0,0.92311638156841647,null,null,2.6557010000000001,0.45651000000000003,2.4323440133868375,0.19481458994652301]
[340,5.2930000000000001,2.9491410954928203,1,1.9899783886687183,1.4421941787095466E-2,2.4323440133868375,0.19481458994652301,1.9899783886687183,1.4421941787095466E-2,2.3755999999999999,0.18898999999999999,1.46,0,1.5123252595155323,1,0.2565636919838219,0.67965156553041262,0,0.93621525751423451,null,null,2.6544889999999999,0.41195399999999999,2.4323440133868375,0.19481458994652301]
[350,5.4829999999999997,2.896619964272495,1,1.9795210329029571,1.1670970428987924E-2,2.4323440133868375,0.19481458994652301,1.9795210329029571,1.1670970428987924E-2,2.3525,0.14818000000000001,1.46,0,1.5106734693877188,1,0.24686239614689365,0.699959277613173,0,0.94682167376006665,null,null,2.6501209999999999,0.37028650000000002,2.4323440133868375,0.19481458994652301]
[360,6.0140000000000002,2.9220847551671985,1,1.9699565614997714,9.4089125133363857E-3,2.4323440133868375,0.19481458994652301,1.9699565614997714,9.4089125133363857E-3,2.3273000000000001,0.11516999999999999,1.46,0,1.509157407407373,1,0.24485278796267873,0.71007002884870607,0,0.9549228168113848,null,null,2.6431200000000001,0.33162459999999999,2.4323440133868375,0.19481458994652301]
[370,6.8630000000000004,2.0522234136984445,1,1.9611854637888635,7.5499970386749132E-3,2.4323440133868375,0.19481458994652301,1.9611854637888635,7.5499970386749132E-3,2.3014999999999999,8.8928999999999994E-2,1.46,0,1.5077626004382436,1,0.21272451460976582,0.74999138137283428,0,0.9627158959826001,null,null,2.632285,0.29034739999999998,2.4323440133868375,0.19481458994652301]
[380,6.548,0.88601556819258143,1,1.9531217915761852,6.0246238135066507E-3,2.4323440133868375,0.19481458994652301,1.9531217915761852,6.0246238135066507E-3,2.2764000000000002,6.8348999999999993E-2,1.46,0,1.506476454293598,1,0.14876218820683512,0.82258764793486683,0,0.97134983614170189,null,null,2.6212200000000001,0.25819009999999998,2.4323440133868375,0.19481458994652301]
[390,5.976,0.46552820854379384,1,1.9456909901743766,4.7760500483911214E-3,2.3899319999999999,0.1598705,1.9456909901743766,4.7760500483911214E-3,2.2524999999999999,5.2381999999999998E-2,1.46,0,1.5052879684417855,1,0.10224020804446615,0.87616278035162154,0,0.97840298839608764,null,null,2.608927,0.22889799999999999,2.3899319999999999,0.1598705]
[400,5.5869999999999997,0.30303101164696872,1,1.9388281249999999,3.7578124999999955E-3,2.3519389999999998,0.13122310000000001,1.9388281249999999,3.7578124999999955E-3,2.2302,4.0097000000000001E-2,1.46,0,1.504187499999972,1,7.1827381328176065E-2,0.9119031812017413,0,0.98373056252991731,null,null,2.595739,0.2023315,2.3519389999999998,0.13122310000000001]
[410,5.3049999999999997,0.21990438487007177,1,1.9324764231652996,2.931709369617598E-3,2.3190659999999998,0.1086539,1.9324764231652996,2.931709369617598E-3,2.2096,3.0706000000000001E-2,1.46,0,1.5031665675193069,1,5.0345646153954461E-2,0.93747538700810584,0,0.98782103316206027,null,null,2.579599,0.17456769999999999,2.3190659999999998,0.1086539]
[420,5.0910000000000002,0.16711269024649011,1,1.9265860675335895,2.26621109517125E-3,2.2860170000000002,8.7891510000000006E-2,1.9265860675335895,2.26621109517125E-3,2.1907000000000001,2.3562E-2,1.46,0,1.5022176870748045,1,3.486953926428607E-2,0.95609182280960436,0,0.99096136207389041,null,null,2.5653839999999999,0.15334400000000001,2.2860170000000002,8.7891510000000006E-2]
[430,4.9249999999999998,0.1341357860378494,1,1.9211131943625852,1.735201902655345E-3,2.261425,7.3640559999999994E-2,1.9211131943625852,1.735201902655345E-3,2.1734,1.8145999999999999E-2,1.46,0,1.5013342347214467,1,2.386305361021351E-2,0.96948904319056473,0,0.99335209680077818,null,null,2.551018,0.13431370000000001,2.261425,7.3640559999999994E-2]
[440,4.7930000000000001,0.10889381206347477,1,1.9160190560754047,1.3169780069667344E-3,2.2396829999999999,6.1874409999999998E-2,1.9160190560754047,1.3169780069667344E-3,2.1577000000000002,1.4052E-2,1.46,0,1.5005103305784893,1,1.6082548830148587E-2,0.97907010598092514,0,0.99515265481107373,null,null,2.5342690000000001,0.11465839999999999,2.2396829999999999,6.1874409999999998E-2]
[450,4.6760000000000002,9.1315148598974952E-2,1,1.9112693187014176,9.9344612101813674E-4,2.2173210000000001,5.0586800000000001E-2,1.9112693187014176,9.9344612101813674E-4,2.1433,1.0962E-2,1.46,0,1.4997407407407186,1,1.0627855877348756E-2,0.98586369946526331,0,0.99649155534261202,null,null,2.5200619999999998,9.9809590000000004E-2,2.2173210000000001,5.0586800000000001E-2]
[460,4.577,7.6871837513385444E-2,1,1.9068334697203055,7.4947916852784527E-4,2.2003170000000001,4.2564150000000002E-2,1.9068334697203055,7.4947916852784527E-4,2.1301999999999999,8.6330999999999995E-3,1.46,0,1.4990207939508295,1,6.9341296641439974E-3,0.99052611420433212,0,0.99746024386847609,null,null,2.5060950000000002,8.6645299999999995E-2,2.2003170000000001,4.2564150000000002E-2]
[470,4.4909999999999997,6.4330427997744091E-2,1,1.9026843168641558,5.7239602342858131E-4,2.1850049999999999,3.5765520000000002E-2,1.9026843168641558,5.7239602342858131E-4,2.1181000000000001,6.881E-3,1.46,0,1.4983463105477388,1,4.4867367631385748E-3,0.99365197599096744,0,0.99813871275410604,null,null,2.4924439999999999,7.5025040000000001E-2,2.1850049999999999,3.5765520000000002E-2]
[480,4.4160000000000004,5.653183578624122E-2,1,1.8987975622106481,4.5153959297839462E-4,2.1711499999999999,2.997493E-2,1.8987975622106481,4.5153959297839462E-4,2.1070000000000002,5.5648E-3,1.46,0,1.4977135416666472,1,2.9142688162144426E-3,0.99567589719853622,0,0.9985901660147507,null,null,2.476998,6.3246949999999996E-2,2.1711499999999999,2.997493E-2]
[490,4.3479999999999999,4.9521060543043234E-2,1,1.8951514388788095,3.7793325389723006E-4,2.1565699999999999,2.427118E-2,1.8951514388788095,3.7793325389723006E-4,2.0968,4.5785000000000001E-3,1.46,0,1.4971191170345504,1,1.9067530037930364E-3,0.99695993926773641,0,0.99886669227152947,null,null,2.4642240000000002,5.4541359999999997E-2,2.1565699999999999,2.427118E-2]
[500,4.2930000000000001,4.4165496708000955E-2,1,1.8917264,3.4400000000000229E-4,2.1452499999999999,2.0135150000000001E-2,1.8917264,3.4400000000000229E-4,2.0872000000000002,3.8422999999999999E-3,1.46,0,1.4965599999999821,1,1.2788445122774621E-3,0.99772878361312323,0,0.99900762812540067,null,null,2.451921,4.7005709999999999E-2,2.1452499999999999,2.0135150000000001E-2]
[510,4.2424999999999997,3.9366975173780308E-2,1,1.8885048515188241,3.4333200151776683E-4,2.1348780000000001,1.6585430000000002E-2,1.8885048515188241,3.4333200151776683E-4,2.0783,3.2961000000000002E-3,1.46,0,1.4960334486735698,1,8.7451003823450519E-4,0.99817218989671874,0,0.99904669993495321,null,null,2.4401220000000001,4.054323E-2,2.1348780000000001,1.6585430000000002E-2]
[520,4.1920000000000002,3.6414650979425651E-2,1,1.8854709218864887,3.7050085781310284E-4,2.1238320000000002,1.3076010000000001E-2,1.8854709218864887,3.7050085781310284E-4,2.0699000000000001,2.8947999999999999E-3,1.46,0,1.4955369822485041,1,6.0591219965330887E-4,0.9984038042019594,0,0.99900971640161274,null,null,2.4270320000000001,3.424348E-2,2.1238320000000002,1.3076010000000001E-2]
[530,4.1509999999999998,3.3108207036691525E-2,1,1.8826102629231349,4.209008297466274E-4,2.1151620000000002,1.053378E-2,1.8826102629231349,4.209008297466274E-4,2.0619999999999998,2.6042999999999999E-3,1.46,0,1.4950683517265773,1,4.3182907447556585E-4,0.99848353660916667,0,0.99891536568364225,null,null,2.4164279999999998,2.981636E-2,2.1151620000000002,1.053378E-2]
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[970,3.5832000000000002,8.7996768035508938E-4,1,1.8314639707736924,5.4708352369878628E-3,2.0021939999999998,0,1.8314639707736924,5.4708352369878628E-3,1.8331,8.6656000000000007E-3,1.46,0,1.4866029333616702,1,3.463444297152516E-2,0.96049584753366846,0,0.99513029050519364,null,null,2.2616890000000001,1.082289E-3,2.0021939999999998,0]
[980,3.5788000000000002,7.4788499308312592E-4,1,1.8310263589324247,5.5486624776813634E-3,2.0016560000000001,0,1.8310263589324247,5.5486624776813634E-3,1.8279000000000001,8.9612000000000008E-3,1.46,0,1.4865297792586376,1,3.5519297986555773E-2,0.95961989275230319,0,0.99513919073885893,null,null,2.2606069999999998,1.0278329999999999E-3,2.0016560000000001,0]
[990,3.5743999999999998,6.2395103889746693E-4,1,1.8306020124943054,5.6247028342330928E-3,2.001055,0,1.8306020124943054,5.6247028342330928E-3,1.8227,9.2644000000000008E-3,1.46,0,1.4864588307315534,1,3.6384242863316901E-2,0.95876514546137204,0,0.99514938832468891,null,null,2.2595719999999999,9.7735630000000007E-4,2.001055,0]
[1000,3.57,5.0929581789406508E-4,1,1.8301904000000002,5.6990000000000009E-3,2.0007229999999998,0,1.8301904000000002,5.6990000000000009E-3,1.8173999999999999,9.5753000000000001E-3,1.46,0,1.4863899999999957,1,3.7229188221035603E-2,0.95793158403149636,0,0.99516077225253197,null,null,2.2586460000000002,9.335344E-4,2.0007229999999998,0]
[1010,3.5668000000000002,4.1070728839579055E-4,1,1.8297910163732696,5.7715971131035715E-3,2.0006409999999999,0,1.8297910163732696,5.7715971131035715E-3,1.8121,9.8939000000000006E-3,1.46,0,1.4863232036074852,1,3.8089215018714914E-2,0.95708410769364438,0,0.99517332271235925,null,null,2.2586460000000002,9.335344E-4,2.0006409999999999,0]
[1020,3.5636000000000001,3.2386439369769786E-4,1,1.8294033813629487,5.8425366814674091E-3,2.0004789999999999,0,1.8294033813629487,5.8425366814674091E-3,1.8067,1.022E-2,1.46,0,1.4862583621683927,1,3.8930572879712994E-2,0.95625631914639164,0,0.99518689202610466,null,null,2.2586460000000002,9.335344E-4,2.0004789999999999,0]
[1030,3.5604,2.4753368299082479E-4,1,1.8290270380913323,5.9118605211095597E-3,2.0003989999999998,0,1.8290270380913323,5.9118605211095597E-3,1.8012999999999999,1.0555E-2,1.46,0,1.4861954001319593,1,3.9753318680717978E-2,0.95544807338737292,0,0.99520139206809088,null,null,2.2586460000000002,9.335344E-4,2.0003989999999998,0]
[1040,3.5571999999999999,1.8703888912159541E-4,1,1.8286615517007458,5.9796097059801835E-3,2.0002399999999998,0,1.8286615517007458,5.9796097059801835E-3,1.7959000000000001,1.0898E-2,1.46,0,1.486134245562126,1,4.0557403137199154E-2,0.95465933189887808,0,0.99521673503607722,null,null,2.2586460000000002,9.335344E-4,2.0002399999999998,0]
[1050,3.5539999999999998,1.3619684255088943E-4,1,1.8283065080907646,6.0458245278459085E-3,2.0000830000000001,0,1.8283065080907646,6.0458245278459085E-3,1.7904,1.125E-2,1.46,0,1.4860748299319688,1,4.1343064262111422E-2,0.95388978523806089,0,0.99523284950017232,null,null,2.2586460000000002,9.335344E-4,2.0000830000000001,0]
[1060,3.5514000000000001,9.3630853020962022E-5,1,1.8279615127392108,6.1105444649065125E-3,2.0000049999999998,0,1.8279615127392108,6.1105444649065125E-3,1.7847999999999999,1.1610000000000001E-2,1.46,0,1.4860170879316443,1,4.2129737149815411E-2,0.95312000974510691,0,0.99524974689492229,null,null,2.2586460000000002,9.335344E-4,2.0000049999999998,0]
[1070,3.5488,6.8118315643331202E-5,1,1.827626189600623,6.17380815799096E-3,1.999851,0,1.827626189600623,6.17380815799096E-3,1.7791999999999999,1.1978000000000001E-2,1.46,0,1.4859609572888424,1,4.2898728952169916E-2,0.95236855595411263,0,0.99526728490628258,null,null,2.2586460000000002,9.335344E-4,1.999851,0]
[1080,3.5461999999999998,5.3285074947166565E-5,1,1.8273001800764337,6.2356533933211784E-3,1.9997750000000001,0,1.8273001800764337,6.2356533933211784E-3,1.7736000000000001,1.2356000000000001E-2,1.46,0,1.4859063786008193,1,4.3650339916914901E-2,0.95163506713152723,0,0.99528540704844215,null,null,2.2586460000000002,9.335344E-4,1.9997750000000001,0]
[1090,3.5436000000000001,4.0767538672988984E-5,1,1.8269831420515601,6.2961170909558674E-3,1.9996240000000001,0,1.8269831420515601,6.2961170909558674E-3,1.7679,1.2743000000000001E-2,1.46,0,1.4858532951771699,1,4.4384936467283316E-2,0.95091912645984211,0,0.99530406292712548,null,null,2.2586460000000002,9.335344E-4,1.9996240000000001,0]
[1100,3.5409999999999999,3.0637326545189853E-5,1,1.8266747489925552,6.3552352981353739E-3,1.999474,0,1.8266747489925552,6.3552352981353739E-3,1.7621,1.3139E-2,1.46,0,1.4858016528925584,1,4.5102714430165933E-2,0.95022048425076,0,0.99532319868092589,null,null,2.2586460000000002,9.335344E-4,1.999474,0]
[1110,3.5388000000000002,2.3849368222320516E-5,1,1.8263746891028594,6.4130431868440144E-3,1.9994000000000001,0,1.8263746891028594,6.4130431868440144E-3,1.7563,1.3545E-2,1.46,0,1.485751400048694,1,4.5817703359748975E-2,0.9495251364281958,0,0.9953428397879448,null,null,2.2586460000000002,9.335344E-4,1.9994000000000001,0]
[1120,3.5366,1.7825353626292277E-5,1,1.8260826645310548,6.4695750549901079E-3,1.9992540000000001,0,1.8260826645310548,6.4695750549901079E-3,1.7504,1.3960999999999999E-2,1.46,0,1.4857024872448945,1,4.6516716715755975E-2,0.94884615713829745,0,0.99536287385405342,null,null,2.2586460000000002,9.335344E-4,1.9992540000000001,0]
[1130,3.5344000000000002,1.3488381427038131E-5,1,1.8257983906283524,6.524864330677514E-3,1.9991810000000001,0,1.8257983906283524,6.524864330677514E-3,1.7444999999999999,1.4385999999999999E-2,1.46,0,1.4856548672566336,1,4.719995595991068E-2,0.9481833007312076,0,0.99538325669111827,null,null,2.2586460000000002,9.335344E-4,1.9991810000000001,0]
[1140,3.5322,9.0718317562380337E-6,1,1.8255215952518384,6.578943579107278E-3,1.999037,0,1.8255215952518384,6.578943579107278E-3,1.7384999999999999,1.4822E-2,1.46,0,1.4856084949215109,1,4.7867692167545169E-2,0.94753625739237002,0,0.99540394955991518,null,null,2.2586460000000002,9.335344E-4,1.999037,0]
[1150,3.53,6.2229582748931069E-6,1,1.8252520181102843,6.6318445117048612E-3,1.9988950000000001,0,1.8252520181102843,6.6318445117048612E-3,1.7324999999999999,1.5268E-2,1.46,0,1.4855633270321329,1,4.8520127117361693E-2,0.94690478654837695,0,0.9954249136657386,null,null,2.2586460000000002,9.335344E-4,1.9988950000000001,0]
[1160,3.528,3.8770144137185702E-6,1,1.8249894101495727,6.6835979971185426E-3,1.9988250000000001,0,1.8249894101495727,6.6835979971185426E-3,1.7263999999999999,1.5723999999999998E-2,1.46,0,1.4855193222354308,1,4.9164893463032044E-2,0.94628126926100731,0,0.99544616272403941,null,null,2.2586460000000002,9.335344E-4,1.9988250000000001,0]
[1170,3.5259999999999998,2.0483241175926927E-6,1,1.8247335329750183,6.7342340737786451E-3,1.998685,0,1.8247335329750183,6.7342340737786451E-3,1.7202,1.6191000000000001E-2,1.46,0,1.4854764409379762,1,4.9795042619779906E-2,0.94567257788324266,0,0.99546762050302262,null,null,2.2586460000000002,9.335344E-4,1.998685,0]
[1180,3.524,6.1035920675741861E-7,1,1.8244841583080673,6.7837819637460665E-3,1.9986159999999999,0,1.8244841583080673,6.7837819637460665E-3,1.714,1.6670000000000001E-2,1.46,0,1.4854346452168885,1,5.0410825105272276E-2,0.9450784320339386,0,0.99548925713921088,null,null,2.2586460000000002,9.335344E-4,1.9986159999999999,0]
[1190,3.5219999999999998,3.4090988810283982E-7,1,1.8242410674750633,6.8322700876127579E-3,1.9984789999999999,0,1.8242410674750633,6.8322700876127579E-3,1.7077,1.7160000000000002E-2,1.46,0,1.4853938987359621,1,5.101247393024369E-2,0.94449857027057327,0,0.99551104420081693,null,null,2.2586460000000002,9.335344E-4,1.9984789999999999,0]
[1200,3.52,0,1,1.8240040509259259,6.8797260802469134E-3,1.998343,0,1.8240040509259259,6.8797260802469134E-3,1.7013,1.7661E-2,1.46,0,1.4853541666666636,1,5.1600269408264912E-2,0.94393268756538673,0,0.99553295697365163,null,null,2.2586460000000002,9.335344E-4,1.998343,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1210,null,null,null,null,{"$f":"INDEX(G100:N189,0,MATCH($C$6,$G$9:$N$9,0)+1)","v":0},2.2586460000000002,9.335344E-4,1.998343,0,1.7013,1.7661E-2,1.46,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1220,null,3.516,{"$f":"n_ext","v":"air"},{"$f":"INDEX(G101:N191,0,MATCH($C$6,$G$9:$N$9,0))","v":0},{"$f":"INDEX(G101:N190,0,MATCH($C$6,$G$9:$N$9,0)+1)","v":0},2.2586460000000002,9.335344E-4,1.998343,0,1.7013,1.7661E-2,1.46,0]
[null,null,{"$f":"4*PI()*C91/A91","v":1.9999999999999996E-7},{"$f":"C102*10000000","v":1.9999999999999996},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1230,null,3.5150000000000001,{"$f":"n_ext","v":"air"},{"$f":"INDEX(G102:N192,0,MATCH($C$6,$G$9:$N$9,0))","v":0},{"$f":"INDEX(G102:N191,0,MATCH($C$6,$G$9:$N$9,0)+1)","v":0},2.2586460000000002,9.335344E-4,1.998343,0,1.7013,1.7661E-2,1.46,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1240,null,3.5129999999999999,{"$f":"n_ext","v":"air"},{"$f":"INDEX(G103:N193,0,MATCH($C$6,$G$9:$N$9,0))","v":0},{"$f":"INDEX(G103:N192,0,MATCH($C$6,$G$9:$N$9,0)+1)","v":0},2.2586460000000002,9.335344E-4,1.998343,0,1.7013,1.7661E-2,1.46,0]

{"sheet":"Generation","index":9,"n_rows":211,"n_cols":40,"rows_kept":211,"cut":false,"hidden":false,"merged":[]}
["Illumination from",{"$f":"'carrier profile'!N8","v":"front"},"see: S. Baker-Finch and K.R. McIntosh, Progress in PV, 20, p.51 (2012)",null,null,null,null,null,"LIGHT TRAPPING PARAMETERS",null,null,null,null,null,null,null,"RESULTS",null,null,null,null,null,null,"Spectra",null,null,null,null,null,null,null,null,"Rear reflectance options"]
["Morphology",{"$f":"'carrier profile'!J9","v":"textured"},null,null,null,null,null,null,"ttexture",3,"mm","Basore's 'emitter thickness' parameter - truly a texture size parameter, at the illumination side",null,null,null,null,"Jg",{"$f":"SUM(R3:R7)*1000","v":40.109366643830583},"(mA cm-2)","total photogenerated current",null,null,null,"Monochromatic",null,null,null,null,null,null,null,null,"specular"]
[null,null,null,null,null,null,null,null,"Rf1",0.66,"/1","Internal illumination side reflectance (first return to illumination side)",null,null,null,null,"Jg1",{"$f":"Q9","v":1.9044198244069152E-2},"(A cm-2)","In emitter (first pass)",null,null,null,"AM1.5Global",null,null,null,null,null,null,null,null,"diffuse",null,null,null,"alpha from Green",null,null,"old AM1.5G"]
[null,null,null,null,null,null,null,null,"Rfn",0.7,"/1","Internal illumination side reflectance (subsequent)",null,null,null,null,"Jg2",{"$f":"R9","v":1.8959622651761342E-2},"(A cm-2)","In bulk (first pass down)",null,null,null,"AM1.5Direct","normalized ",null,"Quantum Flash spectra ",null,null,null,null,null,null,null,null,250,1842732.5868896293,null,"new AM1.5G","normalized "]
["selected ","selected","selected","Selected","selected",null,null,null,"Rb1",0.7,"/1","Internal dark side reflectance (first arrival at dark side)",null,null,null,null,"Jg3",{"$f":"S9","v":1.4295659492473598E-3},"(A cm-2)","In all (first pass back up)",null,null,null,"Flash","1kW/m2",null,"Nph normalised to that of AM1.5G up to 1200nm",null,null,null,null,null,null,null,null,260,1968086.9669873291,null,{"$f":"SUM(AM7:AM99)","v":2.9046818093802176E+17},"1kW/m2"]
["spectrum","Wavelengh","Transmission","Nph_monochr","alpha","index_refr","Nph.T",null,"Rbn",0.7,"/1","Internal dark side reflectance (subsequent)",null,null,null,null,"Jg4",{"$f":"T9","v":3.6197902148849367E-4},"(A cm-2)","In all (second pass down)",null,null,null,"700nm pass","AM1.5Gnew","AM1.5D","Flash","plastic filter","3mm thick RG850","1mm rg1000","3mm RG1000",null,null,null,null,270,2182825.1178275752,null,null,"AM1.5G"]
[{"$f":"Spectrum","v":"AM1.5Global"},{"$f":"VLOOKUP(Wavelength,A11:E100,1)","v":500},{"$f":"VLOOKUP(Wavelength,A11:E100,2)","v":0.99772878361312323},{"$f":"Nph","v":2.5170849320717782E+17},{"$f":"VLOOKUP(Wavelength,A11:F100,3)","v":11100},{"$f":"VLOOKUP(Wavelength,A11:F100,6)","v":4.2930000000000001},{"$f":"VLOOKUP(Wavelength,A11:F100,5)","v":3857419023205057},null,"First rear reflection",null,2,null,null,null,null,null,"Jg5+",{"$f":"V9*q","v":3.1400077726423105E-4},"(A cm-2)","All remaining passes",null,null,null,"RG850",{"$f":"SUM(Y10:Y99)","v":2.9046281042682925E+17},2.6791973830170522E+17,{"$f":"SUM(AA10:AA104)","v":2.8974401342239219E+17},{"$f":"SUM(AB10:AB99)","v":2.9164902649091597E+17},{"$f":"SUM(AC10:AC99)","v":2.9046818093802176E+17},{"$f":"SUM(AD10:AD99)","v":2.9046818093802176E+17},{"$f":"SUM(AE10:AE99)","v":2.904681809380217E+17},null,null,null,null,280,2359784.8817964476,280,1.4664450113172727,{"$f":"SUM(AN10:AN99)","v":2.8805845849287318E+17}]
[null,null,null,null,null,null,null,null,"*qn is 60 degrees in the texture case (fully randomised, no wavelength dependence ie. Basore, not Brendel model)",null,null,null,null,null,null,"Jg,cum (A cm-2)","Jg1,cum (A cm-2)","Jg2,cum (A cm-2)","Jg3,cum (A cm-2)","Jg4,cum (A cm-2)","Jg5+,cum (A cm-2)",null,null,"RG1000","Nph(s-1cm-2)",null,"Nph (norm)","Nph (norm)","Nph (norm)","Nph (norm)","Nph (norm)",null,null,null,null,290,2235947.3231066666,290,1999192447.2235,"Nph(s-1cm-2)"]
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{"sheet":"Mobility","index":10,"n_rows":107,"n_cols":245,"rows_kept":107,"cut":false,"hidden":false,"merged":[]}
["Klaassen's model for mobilties in silicon, for both majority and minority carriers, with full temperature dependence"]
[null,null,null,"calculated quantities",null,null,"n-i",{"$f":"N_i","v":9695570927.4000549},null,"If Klaassen is selected, then delta-n =1 and the injection dependence is turned off",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Mobility Calculation for Front Heavily doped region",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Mobility Calculation for Back Surface region "]
["Input parameters",null,null,"p0",{"$f":"p_o","v":4500000000020889},null,null,null,null,"To include injection dependence, choose Klaassen_inj in the main menu. This makes delta-n = excess carrier density at the front (using the average excess carrier density produces a circular reference)"]
["T (K)",{"$f":"T","v":300},null,"n0",{"$f":"n_o","v":20889.799023957508}]
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[0.10000000000000002,0.10000000000000002,28.802857541935342,28.796187149643522,28.776642726683026,28.715755396996158,28.540284905009834,28.07935141228171,26.966733153854531,24.690054118563658,22.482712709472274,null,null,null,"Output","Efficiency",null,null,null,"Rshunt"]
["",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Rseries"]
["",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"N/A"]
[""]
[""]
[""]
[""]
["",null,null,null,null,null,null,null,null,null,null,null,null,null,"If you are only performing 1D plots, select N/A for the columns."]
["",null,null,null,null,null,null,null,null,null,null,null,null,null,"For both rows and columns, select which input to vary from the drop-down menus."]
["",null,null,null,null,null,null,null,null,null,null,null,null,null,"The inputs will then be iterated from the minimum to the maximum with the appropriate scaling."]
[""]
["",null,null,null,null,null,null,null,null,null,null,null,null,null,"For the Secondary cells, enter a reference to a corresponding value on the main sheet."]
["",null,null,null,null,null,null,null,null,null,null,null,null,null,"This will appear next to the primary and is recorded at each point (e.g. Seff for Jo,"]
["",null,null,null,null,null,null,null,null,null,null,null,null,null,"Resistivity for Na/Nd). Ideally this secondary cell will be used for 1D plots or will be"]
["",null,null,null,null,null,null,null,null,null,null,null,null,null,"dependent on only one primary variable (rows OR columns), or unpredictable results may occur."]
["",null,null,null,null,null,null,null,null,null,null,null,null,null,"If you name the secondary axes, the name will be used on the plots below."]
[""]
[""]
[""]
[""]
[]
[null,null,null,null,null,null,null,null,"Range"]
[null,null,null,null,null,null,null,"Min",24.5]
[null,null,null,null,null,null,null,"Max",29.5]
[null,null,null,null,null,null,null,"Steps",{"$f":"(I33-I32)/10","v":0.5}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,true]

{"sheet":"Efficiency vs doping","index":12,"n_rows":176,"n_cols":33,"rows_kept":176,"cut":false,"hidden":false,"merged":[]}
["Dopant density dependence of Si solar cell parameters  "]
[null,null,null,null,null,null,null,"WARNING: this macro takes several minutes"]
["number of doping points ",null,30]
["paste in values for Na and Nd in columns B and C "]
["choose a desired number of points to calculate"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"n-type Ti_d",null,null,null,null,null,null,"p-type Ti_dd"]
[null,null,null,null,null,null,null,null,null,null,null,"first Defect","second Defect",null,null,null,null,null,null,null,null,null,"n-type Ti_d+Ti_dd",null,null,null,null,null,null,null,null,null,"p-type Ti-d+Ti_dd"]
[null,"Na","Nd","rho","tau_eff","Jsc","Voc","Jmp","Vmp","FF","efficiency",{"$f":"'carrier profile'!$H$6","v":"none"},"none",null,"Nd","rho","tau_eff","Jsc","Voc","Jmp","Vmp","FF","efficiency",null,"Na","rho","tau_eff","Jsc","Voc","Jmp","Vmp","FF","efficiency"]
[]
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[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"n-Si Au_a+Au_d",null,null,null,null,null,null,null,null,null,"p-Si Au_a+Au_d"]
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[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"n-Si Fe",null,null,null,null,null,null,null,null,null,"p-Si Fe"]
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{"sheet":"Front Jo","index":13,"n_rows":105,"n_cols":81,"rows_kept":105,"cut":false,"hidden":false,"merged":[]}
["Heavily Doped Region",null,null,null,null,null,null,null,"Boltzmann Staistic Approximation",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fermi-Dirac statistic approximation"]
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["Gaussian",null,null,null,5,3.6494961778296632E-6,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F8,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F8,$B$5,$B$2,$B$4,$B$7)))","v":4707617259342793},null,{"$f":"IF($C$3=\"yes\",BZpn(G8, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},207617259342793,452775.92000690434,null,{"$f":"Mobility!BV12","v":1221.3026399781836},{"$f":"Mobility!BW12","v":436.20507272180566},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},0.3664648789258444,3.2787744542700197,null,null,null,null,null,null,8.5470289168269353,6.9321017073582379E-13,2.4774570234225687E-12,4.7748551561335068E-12,1.0756681523998165E-24,1.4865082988363389E-11,null,null,null,"Trucly",{"$f":"kT_q/AI7","v":1.5619939577039275},207617259342793,452775.92000690434,2.3289590733747809E-14,1.067928038064015E-5,1.0679280403929741E-5,5.539342744647326E-6,-1.2899963320074974E-2,-1.3081076331446589E-2,-2.5981039651521563E-2,4.736153760116401E-4,2.9925811156657144E-11,-0.28831719137020406,-0.28814396629988936,-0.57646115767009343,4.9851439101241176E-3,4.9852744555486097E-3,7.1839882125533914E-6,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ8))","v":-11.843653327834149},-12.229341245735689,null,1.3824448244163033E+20,207617259342793,665862.18736939132,null,{"$f":"Mobility!DY12","v":1221.302639974509},{"$f":"Mobility!DZ12","v":436.20507272181356},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},0.36646485630417752,3.2787746227157126,null,null,null,null,17.026576407490083,8.5314357855482563E-13,5.3347987442021186E-12,1.2335854007693317E-11,2.8248120682674045E-24,6.9197804504232787E-11,null,null,2.4450224950826817E-6,4638227125890921,1221.3026399781836,13492121621574.18]
["Error Function",null,null,null,6,5.0922980627295523E-6,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F9,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F9,$B$5,$B$2,$B$4,$B$7)))","v":4791878415230406},null,{"$f":"IF($C$3=\"yes\",BZpn(G9, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},291878415230406,322065.93808603229,null,{"$f":"Mobility!BV13","v":1220.0096214630694},{"$f":"Mobility!BW13","v":435.81738438511087},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},0.2439143779941709,4.6497993157414363,null,null,"B1",{"$f":"Y101","v":5655.6510647302448},null,null,11.100155982128257,1.2355114264341069E-12,5.6318746857405305E-12,1.0794483683688468E-11,4.1298408664122789E-24,4.2424771437141937E-11,null,null,null,"A_e",0.51870000000000005,291878415230406,322065.93808603229,1.656621643480924E-14,1.5013450438414217E-5,1.5013450454980433E-5,7.7874767503787738E-6,-1.5250282641038681E-2,-1.5504021126759115E-2,-3.0754303767797794E-2,4.7794954606941422E-4,5.9145673506340647E-11,-0.2450220630601066,-0.24484783014695038,-0.48986989320705698,4.3075073213539542E-3,4.3088231385798922E-3,1.0099599142920623E-5,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ9))","v":-11.5030112529774},-11.836318686342988,null,1.3118941753697177E+20,291878415230406,449465.97861103265,null,{"$f":"Mobility!DY13","v":1220.0096214608857},{"$f":"Mobility!DZ13","v":435.81738438511564},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},0.24391436840813058,4.6497994768670061,null,null,"B1",{"$f":"BR101","v":8554.934793991999},20.533663031461181,1.4681708889602417E-12,1.1205104684783474E-11,2.4964617554704003E-11,9.7162574653609094E-24,1.690158460126754E-10,null,null,3.6494961778296632E-6,4707617259342793,1220.0096214630694,20362449977388.422]
["Exponential",null,null,null,7,6.7720323321406224E-6,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F10,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F10,$B$5,$B$2,$B$4,$B$7)))","v":4891560286647625},null,{"$f":"IF($C$3=\"yes\",BZpn(G10, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},391560286647625,240075.6634771846,null,{"$f":"Mobility!BV14","v":1218.4884676842096},{"$f":"Mobility!BW14","v":435.36384774010088},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},0.17022607815397481,6.4245405571493501,null,null,"B2",{"$f":"AB101","v":9.2402964143951634E-5},null,null,14.115833814637066,2.0495820328917047E-12,1.1812753788240384E-11,2.2285769077824731E-11,1.3746256506739417E-23,1.0963147122554826E-10,null,null,null,"A_h",0.48130000000000001,391560286647625,240075.6634771846,1.2348854478461078E-14,2.0140821144978521E-5,2.0140821157327377E-5,1.0447043933843863E-5,-1.7611125588119815E-2,-1.7950336039661011E-2,-3.556146162778083E-2,4.8307691677597846E-4,1.0644280179518543E-10,-0.21349278167208896,-0.21331726623110794,-0.42681004790319688,3.8247696651564547E-3,3.8274788175812259E-3,1.3548798845938582E-5,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ10))","v":-11.209207870401176},-11.505221505569551,null,1.2638681904485522E+20,391560286647625,322777.41986279091,null,{"$f":"Mobility!DY14","v":1218.4884676828019},{"$f":"Mobility!DZ14","v":435.36384774010401},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},0.17022607361564068,6.4245407137682937,null,null,"B2",{"$f":"BU101","v":8.4983864134434618E-5},24.614186837373797,2.3709189728538302E-12,2.2059084740021626E-11,4.7185027558741995E-11,2.9630053946861741E-23,3.8502717068986948E-10,null,null,5.0922980627295523E-6,4791878415230406,1218.4884676842096,28717850550141.355]
["Constant",null,null,null,8,8.6870739516410958E-6,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F11,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F11,$B$5,$B$2,$B$4,$B$7)))","v":5007310713890776},null,{"$f":"IF($C$3=\"yes\",BZpn(G11, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},507310713890776,185298.85735566041,null,{"$f":"Mobility!BV15","v":1216.733501860077},{"$f":"Mobility!BW15","v":434.84392234020498},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},0.12310790450422469,8.6729552564245225,null,null,"B3",{"$f":"AD101","v":0.16117954956315242},null,null,17.653084051711208,3.2166856330444672E-12,2.3190975806319916E-11,4.2888747028376199E-11,4.0812527861351003E-23,2.6133970181948494E-10,null,null,null,"ah",0.48130000000000001,507310713890776,185298.85735566041,9.5312810610127818E-15,2.6094715684485685E-5,2.6094715694016968E-5,1.3535329030130131E-5,-1.9985936035041604E-2,-2.0423877950779587E-2,-4.0409813985821191E-2,4.8903081131548571E-4,1.7867635750358146E-10,-0.18958368584462898,-0.18940660498054424,-0.37899029082517321,3.468377242108548E-3,3.4726944925134091E-3,1.7554003940857303E-5,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ11))","v":-10.950222283019162},-11.218725309386496,null,1.229570579076117E+20,507310713890776,242370.31574713471,null,{"$f":"Mobility!DY15","v":1216.7335018591134},{"$f":"Mobility!DZ15","v":434.8439223402072},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},0.12310790216853505,8.6729554105389379,null,null,"B3",{"$f":"BW101","v":0.23255465220615029},29.337906742152946,3.6418568878110322E-12,4.1114836353600965E-11,8.44716855828227E-11,8.1884458335913912E-23,8.2701912930693272E-10,null,null,6.7720323321406224E-6,4891560286647625,1216.733501860077,38620366038366.812]
["Difussion Type",{"$f":"IF('carrier profile'!C5=\"n+pp+\",\"n\",\"p\")","v":"n"},null,null,9,1.0835570242145089E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F12,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F12,$B$5,$B$2,$B$4,$B$7)))","v":5139878493128764},null,{"$f":"IF($C$3=\"yes\",BZpn(G12, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},639878493128764,146909.29077581692,null,{"$f":"Mobility!BV16","v":1214.7383528892801},{"$f":"Mobility!BW16","v":434.25701189607457},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},9.1539141568385357E-2,11.474288592469907,null,null,"A1",{"$f":"Z101","v":2.7634954194355228E-8},null,null,21.770958270540348,4.8304840822400188E-12,4.3082301673040635E-11,7.8022685722875281E-11,1.1033867948907888E-22,5.8262730784152151E-10,null,null,null,"gh",4,639878493128764,146909.29077581692,7.5566237204084409E-15,3.291365014303085E-5,3.2913650150587475E-5,1.7072310332827109E-5,-2.2378077624964597E-2,-2.2928498862263797E-2,-4.5306576487228398E-2,4.9584974577403088E-4,2.8425888519676668E-10,-0.1708956626832516,-0.1707167236403842,-0.34161238632363577,3.1986804021009777E-3,3.2048284324188245E-3,2.2141124329715018E-5,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ12))","v":-10.718066021172708},-10.965774381952555,null,1.2042641281243426E+20,639878493128764,188202.0010136528,null,{"$f":"Mobility!DY16","v":1214.7383528885894},{"$f":"Mobility!DZ16","v":434.25701189607622},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},9.1539140285122583E-2,11.474288745614594,null,null,"A1",{"$f":"BS101","v":1.8357158653252807E-8},34.775914335986982,5.3726929050428891E-12,7.3143828458292237E-11,1.4466309064771864E-10,2.0848443106975462E-22,1.6894196182399643E-9,null,null,8.6870739516410958E-6,5007310713890776,1214.7383528892801,50143456465263.594]
["Surface recombinaiton velocity ",3000000,null,null,10,1.3215442672249972E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F13,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F13,$B$5,$B$2,$B$4,$B$7)))","v":5290116429588856},null,{"$f":"IF($C$3=\"yes\",BZpn(G13, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},790116429588856,118974.99164415682,null,{"$f":"Mobility!BV17","v":1212.4960083037249},{"$f":"Mobility!BW17","v":433.60247344920464},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},6.9597665064419265E-2,14.918298118541834,null,null,"A2",{"$f":"AA101","v":6.638120901614856E-5},null,null,26.529450146708133,6.9978466554033548E-12,7.6381498133445401E-11,1.3552162305745307E-10,2.7588507982565365E-22,1.2275058502054849E-9,null,null,null,"ch",1.2364999999999999,790116429588856,118974.99164415682,6.1197575677196456E-15,4.0641490556418992E-5,4.0641490562538751E-5,2.1080741154559971E-5,-2.4790830216113016E-2,-2.546804260037569E-2,-5.0258872816488706E-2,5.0357758618741898E-4,4.33412274599514E-10,-0.15594444434867707,-0.15576334285221571,-0.31170778720089276,2.9911687940472761E-3,2.9993794292403875E-3,2.7339668843905052E-5,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ13))","v":-10.507162173225478},-10.738895886555239,null,1.1851770976733803E+20,790116429588856,150000.31049728932,null,{"$f":"Mobility!DY17","v":1212.4960083032111},{"$f":"Mobility!DZ17","v":433.60247344920583},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},6.9597664321263866E-2,14.918298271964774,null,null,"A2",{"$f":"BT101","v":7.1328524429978507E-5},41.00155463539933,7.6669553247605575E-12,1.2502035263028469E-10,2.3873141659771606E-10,4.9531392780926777E-22,3.3047356829820259E-9,null,null,1.0835570242145089E-5,5139878493128764,1212.4960083037249,63372451248251.312]
["Thermal voltage",{"$f":"kT_q","v":2.5850999999999999E-2},null,null,11,1.5824388869081253E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F14,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F14,$B$5,$B$2,$B$4,$B$7)))","v":5458984563840897},null,{"$f":"IF($C$3=\"yes\",BZpn(G14, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},958984563840897,98024.618072831843,null,{"$f":"Mobility!BV18","v":1209.9988774516323},{"$f":"Mobility!BW18","v":432.87962803501239},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},5.3889028280477293E-2,19.106653031397787,null,null,"A3",{"$f":"AC101","v":6.8553818601810309E-13},null,null,31.990029332456253,9.8397573933663594E-12,1.3011227254847291E-10,2.26434430925112E-10,6.4565254432192797E-22,2.4639689906518721E-9,null,null,null,"ph",0.23330000000000001,958984563840897,98024.618072831843,5.0421259962618592E-15,4.9327618861655813E-5,4.9327618866697936E-5,2.5586235905967648E-5,-2.7227384767786821E-2,-2.8046339973984796E-2,-5.5273724741771613E-2,5.1226371449265579E-4,6.3847258622490953E-10,-0.14376283437890916,-0.14357925296672969,-0.28734208734563882,2.8298881268778182E-3,2.8404035631688241E-3,3.3182856880307854E-5,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ14))","v":-10.313465442521752},-10.532810600931354,null,1.1705826217077088E+20,958984563840897,122064.8033185566,null,{"$f":"Mobility!DY18","v":1209.9988774512387},{"$f":"Mobility!DZ18","v":432.87962803501335},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},5.3889027831033581E-2,19.106653186163449,null,null,"A3",{"$f":"BV101","v":4.6720283863700114E-13},48.091032398941266,1.0640636376334554E-11,2.064111394536623E-10,3.8173880839307887E-10,1.1091148220364212E-21,6.2246758893058653E-9,null,null,1.3215442672249972E-5,5290116429588856,1209.9988774516323,78405054791535.891]
["Resistivity (ohm/square)",{"$f":"CC105","v":310.91072747953524},null,null,12,1.8659884845689584E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F15,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F15,$B$5,$B$2,$B$4,$B$7)))","v":5647553485680647},null,{"$f":"IF($C$3=\"yes\",BZpn(G15, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},1147553485680647,81916.96228650173,null,{"$f":"Mobility!BV19","v":1207.238865906482},{"$f":"Mobility!BW19","v":432.08777291575296},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},4.2364781612375856E-2,24.154512095676047,null,null,"SpPo",{"$f":"$B$13*K101","v":2953030131.4369946},null,null,38.215980636958001,1.3492321579505735E-11,2.141148096871537E-10,3.6602075313786067E-10,1.427720629907274E-21,4.7427963761252476E-9,null,null,null,"dh",1.153,1147553485680647,81916.96228650173,4.2135909652072209E-15,5.902710335430482E-5,5.9027103358518409E-5,3.0617358511905915E-5,-2.9690836585766867E-2,-3.0667202220346745E-2,-6.0358038806113609E-2,5.2196319898530487E-4,9.1424984313793802E-10,-0.13369386247721826,-0.1335074688232655,-0.26720133130048374,2.7040167694924039E-3,2.7170908057717823E-3,3.9707733068534496E-5,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ15))","v":-10.133950562823298},-10.343656476531248,null,1.159350622926309E+20,1147553485680647,101028.02504570536,null,{"$f":"Mobility!DY19","v":1207.2388659061733},{"$f":"Mobility!DZ19","v":432.08777291575382},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},4.2364781330501665E-2,24.154512252728733,null,null,"SpPo",{"$f":"BF103*$B$13","v":4737139683.5077362},56.123853746809786,1.4422895103883188E-11,3.3063120703417404E-10,5.9401374405061331E-10,2.3596475904413653E-21,1.1340738018181319E-8,null,null,1.5824388869081253E-5,5458984563840897,1207.238865906482,95351899561642.641]
[null,null,null,null,13,2.1719187442845357E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F16,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F16,$B$5,$B$2,$B$4,$B$7)))","v":5857007634490845},null,{"$f":"IF($C$3=\"yes\",BZpn(G16, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},1357007634490845,69273.07792451432,null,{"$f":"Mobility!BV20","v":1204.20746204374},{"$f":"Mobility!BW20","v":431.22619545056},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},3.3735589543085004E-2,30.192286189273855,null,null,null,null,null,null,45.272634555794511,1.8107871561429584E-11,3.4189579250290397E-10,5.7497886074350302E-10,3.0057577488138926E-21,8.8002232070390401E-9,null,null,null,"bh",1,1357007634490845,69273.07792451432,3.563223136301853E-15,6.980086845029455E-5,6.9800868453857767E-5,3.6205710466882763E-5,-3.2184176862434619E-2,-3.3334412576020309E-2,-6.5518589438454927E-2,5.3273696408129452E-4,1.2784495761966108E-9,-0.1252758672145233,-0.12508631244680785,-0.25036217966133112,2.6059637294736531E-3,2.6218629991278061E-3,4.6955281470271455E-5,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ16))","v":-9.966298266068895},-10.16852745366711,null,1.1507118513458323E+20,1357007634490845,84797.743365503193,null,{"$f":"Mobility!DY20","v":1204.2074620434923},{"$f":"Mobility!DZ20","v":431.22619545056062},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},3.3735589360757316E-2,30.192286349478834,null,null,null,null,65.183175716887064,1.9156814042645831E-11,5.1569573453737144E-10,9.0258561406547811E-10,4.8009093948069398E-21,2.0060172253245849E-8,null,null,1.8659884845689584E-5,5647553485680647,1204.20746204374,114337139217622.47]
["Dark saturation current density ","A/cm^2",null,null,14,2.4999336982867496E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F17,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F17,$B$5,$B$2,$B$4,$B$7)))","v":6088648467811378},null,{"$f":"IF($C$3=\"yes\",BZpn(G17, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},1588648467811378,59172.370422357257,null,{"$f":"Mobility!BV21","v":1200.8958366162333},{"$f":"Mobility!BW21","v":430.29418865040009},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},2.7160928912254183E-2,37.367592035625499,null,null,"JoeB",{"$f":"IF($C$3=\"yes\",q*(V15*(1+V10)+V9+V11)/(1+V13+V15*(V12+V14)))","v":5.7278593630211204E-12},null,null,53.227531751042925,2.3856171062444535E-11,5.3166918077691042E-10,8.8094665494828056E-10,6.0619514353788344E-21,1.580806328165059E-8,null,null,null,"hh",4.2,1588648467811378,59172.370422357257,3.0436695702841482E-15,8.1715857668752194E-5,8.1715857671795861E-5,4.2386015374246686E-5,-3.4710282466609982E-2,-3.6051715820166995E-2,-7.0761998286776984E-2,5.4465195329975223E-4,1.7521635357362305E-9,-0.11817512706686627,-0.11798204408539707,-0.23615717115226334,2.5302535277790315E-3,2.549258726437085E-3,5.4970535218386785E-5,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ17))","v":-9.808693804580507},-10.00518571027917,null,1.1441255533044038E+20,1588648467811378,72018.799406304344,null,{"$f":"Mobility!DY21","v":1200.8958366160316},{"$f":"Mobility!DZ21","v":430.29418865040066},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},2.7160928791142232E-2,37.367592199796995,null,null,"JoeF",{"$f":"IF($C$3=\"yes\",q*(BQ15*(1+BQ10)+BQ9+BQ11)/(1+BQ13+BQ15*(BQ12+BQ14)))","v":8.629107087853323E-12},75.356100487274574,2.5000203148620693E-11,7.8560182985853055E-10,1.3429206307215652E-9,9.3914865690361939E-21,3.455855299077532E-8,null,null,2.1719187442845357E-5,5857007634490845,1200.8958366162333,135499072777575.58]
["Boltzmann",{"$f":"V17","v":5.7278593630211204E-12},null,null,15,2.8497160132921322E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F18,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F18,$B$5,$B$2,$B$4,$B$7)))","v":6343897361272151},null,{"$f":"IF($C$3=\"yes\",BZpn(G18, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},1843897361272151,50981.197534438346,null,{"$f":"Mobility!BV22","v":1197.2949559855547},{"$f":"Mobility!BW22","v":429.29106843954628},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},2.2076320837564788E-2,45.847402921342429,null,null,null,null,null,null,62.150543105765763,3.0925715721654892E-11,8.0761969331416769E-10,1.32032269502867E-9,1.1771454924921116E-20,2.7589317681289678E-8,null,null,null,"jh",2.9306999999999999,1843897361272151,50981.197534438346,2.6223373930206281E-15,9.4845182796848111E-5,9.4845182799470443E-5,4.9196196317987252E-5,-3.7271903961568466E-2,-3.8822805650435756E-2,-7.6094709612004222E-2,5.5778127842784819E-4,2.3604375083800661E-9,-0.11214456578784084,-0.11194756759031012,-0.22409213337815095,2.4728425743527241E-3,2.495249677134344E-3,6.3802676860628062E-5,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ18))","v":-9.6596928537977114},-9.851874674674546,null,1.1392013296768839E+20,1843897361272151,61782.252830543686,null,{"$f":"Mobility!DY22","v":1197.2949559853878},{"$f":"Mobility!DZ22","v":429.29106843954673},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},2.2076320755238733E-2,45.847403090263533,null,null,null,null,86.733932949437133,3.2126442837119004E-11,1.1718784516309353E-9,1.9610074260453954E-9,1.774257330114451E-20,5.8136990468086245E-8,null,null,2.4999336982867496E-5,6088648467811378,1197.2949559855547,158990789010041.69]
["Fermi_Dirac",{"$f":"BQ17","v":8.629107087853323E-12},null,null,16,3.2209272975012389E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F19,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F19,$B$5,$B$2,$B$4,$B$7)))","v":6624298083223506},null,{"$f":"IF($C$3=\"yes\",BZpn(G19, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},2124298083223506,44251.838454610421,null,{"$f":"Mobility!BV23","v":1193.3957094266739},{"$f":"Mobility!BW23","v":428.21619261225237},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},1.8092867015944723E-2,55.820400159285356,null,null,null,null,null,null,72.113956134018011,3.9525125816471068E-11,1.2014248468173046E-9,1.9404601773846755E-9,2.2102999880804825E-20,4.6922923893448812E-8,null,null,null,"qh",{"$f":"1/4","v":0.25},2124298083223506,44251.838454610421,2.2761970354078994E-15,1.0926825117821188E-4,1.0926825118048808E-4,5.6677441887234038E-5,-3.9871651857192429E-2,-4.1651309768746259E-2,-8.1522961625938695E-2,5.7220434680921187E-4,3.1329245504556084E-9,-0.10699746975342329,-0.10679614777918316,-0.21379361753260645,2.4306839626556899E-3,2.4568054224182317E-3,7.3505123986972526E-5,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ19))","v":-9.5181294521075017},-9.7071932943214936,null,1.1356509603656806E+20,2124298083223506,53460.056728121337,null,{"$f":"Mobility!DY23","v":1193.3957094265338},{"$f":"Mobility!DZ23","v":428.21619261225288},null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/(500000000000*'SRH Recombination'!$H$9*11000000*SQRT(T/300)),1/(500000000000*'SRH Recombination'!$G$9*11000000*SQRT(T/300))))","v":1.8181818181818183},1.8092866958842366E-2,55.820400333722617,null,null,null,null,99.412410587558639,4.0725356104760847E-11,1.7154473893407152E-9,2.8158461224150122E-9,3.249355661728795E-20,9.5720614821868171E-8,null,null,2.8497160132921322E-5,6343897361272151,1193.3957094266739,184980818250828.72]
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{"sheet":"Back Jo","index":14,"n_rows":107,"n_cols":80,"rows_kept":107,"cut":false,"hidden":false,"merged":[]}
["Back Surface Region",null,null,null,null,null,null,null,"Boltzmann Staistic Approximation",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Fermi-Dirac statistic approximation"]
["N_surface (cm^-3)",5E+19,null,null,"Node","x (um)","Doping (cm^-3)",null,"pn-product","n","p",null,"Mobility Calaculation",null,null,"Effective lifetime",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"no","po","nh","ne","n_sum","np","delta_xcE","delta_xcH","delta_xcTot","n_ionic","U^i","delta_iE","delta_iH","delta_iTot","delta_Ec","delta_Eh","F1/2(Efn-Ec+delta_Ec/KT) or F1/2(Ev-Efp+delta_Ev/KT)","Efn-Ec+delta_Ec/KT or Ev-Efp+delta_Ev/KT","Efn-Ec/KT",null,"pn-Product","no","po",null,"Mobility",null,null,null,null,null,null,null,null,null,"po/tau","1/poDp","A2_","B2_","A3_","B3_",null,null,"Sheet Resistivity calculation"]
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["Thickness (cm)",1E-3,null,null,{"$f":"E4+1","v":2},1.5109780871853853E-6,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F5,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F5,$B$5,$B$2,$B$4,$B$7)))","v":4628383950207744},null,{"$f":"IF($C$3=\"yes\",BZpn(G5, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},20310.349491214056,4628383950207744,null,{"$f":"Mobility!GE9","v":1213.9513477320274},{"$f":"Mobility!GF9","v":445.78115533992764},null,1.3027023971729382E-3,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/((1.8E-24*J4^(0.65)+6E-25*(K4)^0.65+0.0000000000000095)*J4),1/((1.8E-24*J4^(0.65)+6E-25*(K4)^0.65+0.0000000000000095)*K4)))","v":1.1872794989123466E-2},{"$f":"IF($C$3=\"yes\",(1/P5+1/Q5))","v":851.8612006713422},null,null,null,null,null,null,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\", ((F5-F4)/2)*(K4*R5+K5*R6)+Y4, ((F5-F4)/2)*(J4*R5+J5*R6)+Y4))","v":33.998636307113479},{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\", ((F6-F5)/2)*(1/(kT_q*K4*N5)+1/(kT_q*K5*N6))+Z4, ((F6-F5)/2)*(1/(kT_q*J4*M5)+1/(kT_q*J5*M6))+Z4))","v":3.7380692475752897E-12},{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\", AA4+Z5*(K4*R5+K5*R6)*((F6-F5)/2), AA4+Z5*(J4*R5+J5*R6)*((F6-F5)/2)))","v":1.200226993769323E-10},{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\", Y5*((F6-F5)/2)*(1/(kT_q*K5*N5)+1/(kT_q*K6*N6))+AB4, Y5*((F6-F5)/2)*(1/(kT_q*J5*M5)+1/(kT_q*J6*M6))+AB4))","v":1.0413650930547944E-10},{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\", AC4+AA5*(1/(kT_q*N6*K6)+1/(kT_q*K5*N5))*((F6-F5)/2), AC4+AA5*(1/(kT_q*M6*J6)+1/(kT_q*J5*M5))*((F6-F5)/2)))","v":3.1501472847268106E-22},{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\", AD4+((F6-F5)/2)*AB5*(K5*R6+K6*R7), AD4+((F6-F5)/2)*AB5*(J5*R6+J6*R7)))","v":3.0210491309686228E-9},null,null,null,"Nv",3.14E+19,20310.349491214056,4628383950207744,2.3807177722115085E-4,1.044710432707078E-15,2.3807177722219556E-4,1.145839463770818E-4,-5.7358105432639819E-2,-6.1745012116023928E-2,-0.11910311754866375,4.6953982503665086E-4,1.4872287740779637E-8,-5.8774623751200301E-2,-5.8613723455499679E-2,-0.11738834720669998,1.9219966679925539E-3,1.9919370737087154E-3,1.4740076274546955E-4,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ5))","v":-8.822303289625113},-8.9737068616997426,null,1.0936487946191277E+20,23629.171788352596,4628383950207744,null,{"$f":"Mobility!IJ9","v":1213.9513477320284},{"$f":"Mobility!IK9","v":445.78115533991473},null,1.3027023971729382E-3,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\",1/((1.8E-24*BE5^(0.65)+6E-25*(BF5)^0.65+0.0000000000000095)*BE5),1/((1.8E-24*BE5^(0.65)+6E-25*(BF5)^0.65+0.0000000000000095)*BF5)))","v":1.1594579983558327E-2},{"$f":"IF($C$3=\"yes\",1/BL5+1/BK5)","v":853.88222974158612},null,null,null,null,{"$f":"IF($B$12=\"n\", (F7-F6)*(BF6*BM6/2)+(BF7*BM7)*((F7-F6)/2)+BR4, (F7-F6)*(BE6*BM6/2)+(BE7*BM7)*((F7-F6)/2)+BR4)","v":86.098851184274821},6.0033258586525855E-12,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\", BS5*((F7-F6)/2)*(BF6*BM6+BF7*BM7)+BT4, BS5*((F7-F6)/2)*(BE6*BM6+BE7*BM7)+BT4))","v":3.4535114716593292E-10},3.5666401840158737E-10,1.2133626890763756E-21,{"$f":"IF($C$3=\"yes\",IF($B$12=\"n\", BU5*((F7-F6)/2)*(BF6*BM6+BF7*BM7)+BW4, BU5*((F7-F6)/2)*(BE6*BM6+BE7*BM7)+BW4))","v":1.7402229190563864E-8},null,{"$f":"F4","v":5.4412757869457071E-7},{"$f":"G4","v":4545839859688531},{"$f":"IF($C$3=\"yes\", IF($B$12=\"n\",Mobility!IJ8,Mobility!IK8))","v":446.08069013574885},{"$f":"IF($C$3=\"yes\",(CA4*BZ4+CA5*BZ5)*(BY5-BY4)/2)","v":976533808018.56567}]
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["Doping Profile","Gaussian",null,null,4,4.8900449901653634E-6,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F7,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F7,$B$5,$B$2,$B$4,$B$7)))","v":4928146863422592},null,{"$f":"IF($C$3=\"yes\",BZpn(G7, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},19074.937945936017,4928146863422592,null,{"$f":"Mobility!GE11","v":1206.9320179402862},{"$f":"Mobility!GF11","v":444.70940575877916},null,1.3027023971729382E-3,1.1189520355642276E-2,857.00437042123212,null,null,null,null,null,null,91.045463235625689,1.0805218460938834E-11,7.8001302171919098E-10,6.690294437052107E-10,4.6507008983314627E-21,3.8387810787893291E-8,null,null,null,"Ryex",1.6549999999999999E-2,19074.937945936017,4928146863422592,2.5349078529433486E-4,9.8116414412169193E-16,2.5349078529531601E-4,1.220051149626723E-4,-5.9048463868321834E-2,-6.3708573377138616E-2,-0.12275703724546044,4.8495883310983488E-4,1.686111556257795E-8,-5.8760529278960222E-2,-5.8594774415304772E-2,-0.117355303694265,1.9497388365875177E-3,2.0241204059649382E-3,1.5694735233829911E-4,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ7))","v":-8.7595446551300373},-8.913266338722643,null,1.096183235336154E+20,22243.315098261013,4928146863422592,null,{"$f":"Mobility!IJ11","v":1206.9320179402869},{"$f":"Mobility!IK11","v":444.70940575876716},null,1.3027023971729382E-3,1.0671527643217183E-2,861.34233084348523,null,null,null,null,183.63199519318763,1.404294721819189E-11,1.5117019579288395E-9,1.6474274372636761E-9,1.0760948309542624E-20,1.407482579858037E-7,null,2.9600845299737177E-6,4754760353278203,{"$f":"IF($C$3=\"yes\", IF($B$12=\"n\",Mobility!IJ10,Mobility!IK10))","v":445.32630914416245},{"$f":"IF($C$3=\"yes\",CB6+(CA7*BZ7+CA6*BZ6)*(BY7-BY6)/2)","v":5983369609536.6387}]
["Gaussian",null,null,null,5,7.2989923556593264E-6,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F8,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F8,$B$5,$B$2,$B$4,$B$7)))","v":5152961300616646},null,{"$f":"IF($C$3=\"yes\",BZpn(G8, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},18242.73269760358,5152961300616646,null,{"$f":"Mobility!GE12","v":1201.828039234078},{"$f":"Mobility!GF12","v":443.92129742715122},null,1.3027023971729382E-3,1.0671527707496598E-2,861.34233027904395,null,null,null,null,null,null,129.88683309872241,1.5798688222295382E-11,1.5150766816493537E-9,1.3502340981170874E-9,1.2596674040551318E-20,9.8664136673359303E-8,null,null,null,"Trucly",{"$f":"kT_q/AI7","v":1.5619939577039275},18242.73269760358,5152961300616646,2.650546428272344E-4,9.3835771651873133E-16,2.6505464282817277E-4,1.2757079959323464E-4,-6.0277718248974065E-2,-6.5142120216751684E-2,-0.12541983846572574,4.9652269064273441E-4,1.843456029707231E-8,-5.8784359681384075E-2,-5.8614972099462884E-2,-0.11739933178084697,1.970477389747427E-3,2.0481798778333509E-3,1.6410704779033905E-4,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ8))","v":-8.7149335921753828},-8.8703882077639786,null,1.0980817136342337E+20,21309.721722591399,5152961300616646,null,{"$f":"Mobility!IJ12","v":1201.8280392340789},{"$f":"Mobility!IK12","v":443.92129742713985},null,1.3027023971729382E-3,1.0057882146070346E-2,867.05954441052359,null,null,null,null,241.6936003386042,1.9592669576552121E-11,2.6492838026272246E-9,2.9887598149354096E-9,2.5463737862624544E-20,3.1428045023507173E-7,null,4.8900449901653634E-6,4928146863422592,{"$f":"IF($C$3=\"yes\", IF($B$12=\"n\",Mobility!IJ11,Mobility!IK11))","v":444.70940575876716},10141482102900.666]
["Error Function",null,null,null,6,1.0184596125459105E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F9,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F9,$B$5,$B$2,$B$4,$B$7)))","v":5435026621577985},null,{"$f":"IF($C$3=\"yes\",BZpn(G9, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},17295.97703073483,5435026621577985,null,{"$f":"Mobility!GE13","v":1195.6050134374393},{"$f":"Mobility!GF13","v":442.95030653445679},null,1.3027023971729382E-3,1.0057882204754913E-2,867.05954383041296,null,null,"B1",{"$f":"Y102","v":2312365.0040437966},null,null,174.52822229895207,2.1939520827552215E-11,2.6553231104183461E-9,2.4856497740170004E-9,2.9871218205586384E-20,2.2178862315610472E-7,null,null,null,"A_e",0.51870000000000005,17295.97703073483,5435026621577985,2.7956333376042856E-4,8.8965911963687086E-16,2.795633337613182E-4,1.3455383253935574E-4,-6.1777003573918826E-2,-6.6897016643393634E-2,-0.12867402021731245,5.1103138157592852E-4,2.050795580374013E-8,-5.8849607590928242E-2,-5.8675671942960785E-2,-0.11752527953388903,1.9963704147782191E-3,2.0782279961041655E-3,1.7309001979547723E-4,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ9))","v":-8.6616375567436812},-8.8192561560583069,null,1.1004570225135467E+20,20247.500134489575,5435026621577985,null,{"$f":"Mobility!IJ13","v":1195.60501343744},{"$f":"Mobility!IK13","v":442.9503065344461},null,1.3027023971729382E-3,9.3682768187992316E-3,874.37825123446578,null,null,"B1",{"$f":"BR101","v":1902045.6586424429},304.57394013256112,2.6378959036548507E-11,4.3080017102562647E-9,5.0556867346465792E-9,5.4699084462583029E-20,6.3218375000144905E-7,null,7.2989923556593264E-6,5152961300616646,{"$f":"IF($C$3=\"yes\", IF($B$12=\"n\",Mobility!IJ12,Mobility!IK12))","v":443.92129742713985},15536443221751.307]
["Exponential",null,null,null,7,1.3544064664281245E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F10,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F10,$B$5,$B$2,$B$4,$B$7)))","v":5781790555013107},null,{"$f":"IF($C$3=\"yes\",BZpn(G10, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},16258.647682548586,5781790555013107,null,{"$f":"Mobility!GE14","v":1188.2108065289003},{"$f":"Mobility!GF14","v":441.78207101376927},null,1.3027023971729382E-3,9.3682768714298432E-3,874.37825063478658,null,null,"B2",{"$f":"AB102","v":1.632512804672501},null,null,224.06234724679894,2.9406826867619038E-11,4.3160197016329431E-9,4.2733147369699067E-9,6.4306264052558334E-20,4.5036962854219405E-7,null,null,null,"A_h",0.48130000000000001,16258.647682548586,5781790555013107,2.973999494771067E-4,8.3630165315544983E-16,2.9739994947794299E-4,1.4313859568376524E-4,-6.3559688263927591E-2,-6.8992902341636436E-2,-0.13255259060556401,5.2886799729260671E-4,2.3208321506934043E-8,-5.8975428388657422E-2,-5.879591624158504E-2,-0.11777134463024247,2.0279561806002817E-3,2.1149049475523152E-3,1.8413345716602252E-4,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ10))","v":-8.599784651738533},-8.7600438729737888,null,1.1033624455040297E+20,19083.40392142635,5781790555013107,null,{"$f":"Mobility!IJ14","v":1188.210806528901},{"$f":"Mobility!IK14","v":441.78207101375938},null,1.3027023971729382E-3,8.6237726828915073E-3,883.59356441941247,null,null,"B2",{"$f":"BU101","v":1.8612845224327774},371.24668968905746,3.4618040485953331E-11,6.6160816537128811E-9,8.114418448816643E-9,1.0920952008343643E-19,1.1731943390360145E-6,null,1.0184596125459105E-5,5435026621577985,{"$f":"IF($C$3=\"yes\", IF($B$12=\"n\",Mobility!IJ13,Mobility!IK13))","v":442.9503065344461},22310334550866.992]
["Constant",null,null,null,8,1.7374147903282192E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F11,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F11,$B$5,$B$2,$B$4,$B$7)))","v":6202609433865239},null,{"$f":"IF($C$3=\"yes\",BZpn(G11, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},15155.572281401128,6202609433865239,null,{"$f":"Mobility!GE15","v":1179.5860735588158},{"$f":"Mobility!GF15","v":440.39936786383754},null,1.3027023971729382E-3,8.6237727292683489E-3,883.59356379581186,null,null,"B3",{"$f":"AD102","v":1430902.9523388334},null,null,277.5526748860334,3.8428756615937854E-11,6.6221719864564179E-9,6.9711792999492724E-9,1.286750298717E-19,8.4438948046556263E-7,null,null,null,"ah",0.48130000000000001,15155.572281401128,6202609433865239,3.1904575489306457E-4,7.7956238433391618E-16,3.1904575489384411E-4,1.5355672183043633E-4,-6.5641497744696409E-2,-7.145331872352452E-2,-0.13709481646822091,5.5051380270856464E-4,2.6709631247625262E-8,-5.9183535105853904E-2,-5.8997277211211681E-2,-0.11818081231706559,2.0658542936766076E-3,2.1589573627198841E-3,1.9753533228870188E-4,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ11))","v":-8.5295232528631288},-8.6929525846644715,null,1.1068605318919966E+20,17845.078651070919,6202609433865239,null,{"$f":"Mobility!IJ15","v":1179.5860735588167},{"$f":"Mobility!IK15","v":440.39936786382845},null,1.3027023971729382E-3,7.8457408315713382E-3,895.09272446123805,null,null,"B3",{"$f":"BW101","v":1301202.8688970907},440.74282106718522,4.4580942696654753E-11,9.7142847043203858E-9,1.2505496075177684E-8,2.0599198863949299E-19,2.0422779372252238E-6,null,1.3544064664281245E-5,5781790555013107,{"$f":"IF($C$3=\"yes\", IF($B$12=\"n\",Mobility!IJ14,Mobility!IK14))","v":441.78207101375938},30644736096144.656]
["Difussion Type",{"$f":"IF('carrier profile'!C5=\"n+pp+\",\"p\",\"n\")","v":"p"},null,null,9,2.1671140484290179E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F12,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F12,$B$5,$B$2,$B$4,$B$7)))","v":6709108708691157},null,{"$f":"IF($C$3=\"yes\",BZpn(G12, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},14011.413391836946,6709108708691157,null,{"$f":"Mobility!GE16","v":1169.6652219091318},{"$f":"Mobility!GF16","v":438.78192192382943},null,1.3027023971729382E-3,7.8457408717324852E-3,895.09272380880168,null,null,"A1",{"$f":"Z102","v":1.8145867176101874E-6},null,null,334.07393692361086,4.9294148780727715E-11,9.7083877963600574E-9,1.0914003272638341E-8,2.4325584540057851E-19,1.4847755741028729E-6,null,null,null,"gh",4,14011.413391836946,6709108708691157,3.4509873230726936E-4,7.2070988998765586E-16,3.4509873230799008E-4,1.6609601985986258E-4,-6.8040550755179632E-2,-7.4306006893477744E-2,-0.14234655764865739,5.7656678012276937E-4,3.1249903403655335E-8,-5.9497966221454257E-2,-5.9303620177966823E-2,-0.11880158639942108,2.1107624559632905E-3,2.2112393280324075E-3,2.1366588244239353E-4,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ12))","v":-8.4510215179606227},-8.6182104771496562,null,1.1110234113392494E+20,16559.925611281276,6709108708691157,null,{"$f":"Mobility!IJ16","v":1169.6652219091325},{"$f":"Mobility!IK16","v":438.78192192382119},null,1.3027023971729382E-3,7.0548643693455187E-3,909.38120421053156,null,null,"A1",{"$f":"BS101","v":2.2005470428251546E-6},512.1879289295872,5.6606574809833283E-11,1.3758547547330051E-8,1.8664879681295731E-8,3.7144721985535895E-19,3.3757922792941517E-6,null,1.7374147903282192E-5,6202609433865239,{"$f":"IF($C$3=\"yes\", IF($B$12=\"n\",Mobility!IJ15,Mobility!IK15))","v":440.39936786382845},40767486534296.234]
["Surface recombinaiton velocity ",3000000,null,null,10,2.6430885344499945E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F13,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F13,$B$5,$B$2,$B$4,$B$7)))","v":7315635957999353},null,{"$f":"IF($C$3=\"yes\",BZpn(G13, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},12849.750335848174,7315635957999353,null,{"$f":"Mobility!GE17","v":1158.3777064906042},{"$f":"Mobility!GF17","v":436.90621019891518},null,1.3027023971729382E-3,7.0548644035319259E-3,909.381203523659,null,null,"A2",{"$f":"AA102","v":2.5104486590233757},null,null,392.74957386819312,6.2367752305829799E-11,1.3720096127486877E-8,1.6535971034840775E-8,4.3965055402713932E-19,2.477509674661269E-6,null,null,null,"ch",1.2364999999999999,12849.750335848174,7315635957999353,3.7629688305044118E-4,6.6095702781229824E-16,3.7629688305110216E-4,1.811116898125202E-4,-7.0777382841788319E-2,-7.7583253510222092E-2,-0.14836063635201041,6.0776493086594119E-4,3.7155507129565624E-8,-5.9944856625986316E-2,-5.9740868907220898E-2,-0.11968572553320722,2.1634530631916703E-3,2.2727142260086813E-3,2.3298203687896029E-4,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ13))","v":-8.364466830986629},-8.5360720798822367,null,1.1159332420350068E+20,15254.083834157696,7315635957999353,null,{"$f":"Mobility!IJ17","v":1158.3777064906046},{"$f":"Mobility!IK17","v":436.90621019890773},null,1.3027023971729382E-3,6.2702630744696846E-3,927.11797645358547,null,null,"A2",{"$f":"BT101","v":2.4144585635985352},584.83327781076775,7.1118432270970302E-11,1.8924970871537296E-8,2.7151896847415138E-8,6.4608369959927811E-19,5.3482512985604506E-6,null,2.1671140484290179E-5,6709108708691157,{"$f":"IF($C$3=\"yes\", IF($B$12=\"n\",Mobility!IJ16,Mobility!IK16))","v":438.78192192382119},52961193197723.695]
["Thermal voltage",{"$f":"kT_q","v":2.5850999999999999E-2},null,null,11,3.1648777738162506E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F14,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F14,$B$5,$B$2,$B$4,$B$7)))","v":8039826184102949},null,{"$f":"IF($C$3=\"yes\",BZpn(G14, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},11692.304467243124,8039826184102949,null,{"$f":"Mobility!GE18","v":1145.6497240177418},{"$f":"Mobility!GF18","v":434.74527616359057},null,1.3027023971729382E-3,6.2702631030816499E-3,927.11797572584555,null,null,"A3",{"$f":"AC102","v":1.3500876448807788E-6},null,null,452.78439725211996,7.8110087772550316E-11,1.881662249708204E-8,2.4401024771645528E-8,7.6650313106572805E-19,3.9588203394220353E-6,null,null,null,"ph",0.23330000000000001,11692.304467243124,8039826184102949,4.1354730480227782E-4,6.0142108655493687E-16,4.1354730480287923E-4,1.9904031780164827E-4,-7.3874948585007955E-2,-8.1322286424801646E-2,-0.15519723500980959,6.4501535261777784E-4,4.4875814160642086E-8,-6.0552220361129568E-2,-6.0336781529570789E-2,-0.12088900189070036,2.2247696460585757E-3,2.3444575746448637E-3,2.5604541987589007E-4,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ14))","v":-8.270065182425661},-8.4468176183354302,null,1.1216828206990809E+20,13951.580482137422,8039826184102949,null,{"$f":"Mobility!IJ18","v":1145.6497240177423},{"$f":"Mobility!IK18","v":434.74527616358392},null,1.3027023971729382E-3,5.5087888594580652E-3,949.16313935501444,null,null,"A3",{"$f":"BV101","v":1.7164048572953095E-6},658.08008003947077,8.864591532733438E-11,2.5418000699900909E-8,3.8686384300037681E-8,1.0915972761934417E-18,8.1819052383289123E-6,null,2.6430885344499945E-5,7315635957999353,{"$f":"IF($C$3=\"yes\", IF($B$12=\"n\",Mobility!IJ17,Mobility!IK17))","v":436.90621019890773},67573806008631.828]
["Resistivity (ohm/square)",{"$f":"CB107","v":7.2826573103680969},null,null,12,3.7319769691379167E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F15,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F15,$B$5,$B$2,$B$4,$B$7)))","v":8903303930143741},null,{"$f":"IF($C$3=\"yes\",BZpn(G15, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},10558.338381550397,8903303930143741,null,{"$f":"Mobility!GE19","v":1131.4063702176279},{"$f":"Mobility!GF19","v":432.26857373149949},null,1.3027023971729382E-3,5.5087888830083649E-3,949.16313857897433,null,null,"SpPo",{"$f":"$B$13*J103","v":136090624.80730635},null,null,513.49130110650549,9.7103373260764896E-11,2.5176749687917766E-8,3.5243692933925679E-8,1.2981248774957849E-18,6.1023463914046686E-6,null,null,null,"dh",1.153,10558.338381550397,8903303930143741,4.5796230662632011E-4,5.4309288296731912E-16,4.5796230662686319E-4,2.2041725817952958E-4,-7.7358592373875809E-2,-8.5565722122085977E-2,-0.16292431449596179,6.8943035444182007E-4,5.503277590483906E-8,-6.1349751832246724E-2,-6.1120743593431073E-2,-0.1224704954256778,2.295623096611328E-3,2.4276610075918072E-3,2.8354471115107455E-4,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ15))","v":-8.1680404881389528},-8.3507523408410975,null,1.1283763832733155E+20,12673.681502133088,8903303930143741,null,{"$f":"Mobility!IJ19","v":1131.4063702176286},{"$f":"Mobility!IK19","v":432.26857373149357},null,1.3027023971729382E-3,4.7845224062702616E-3,976.64231183436823,null,null,"SpPo",{"$f":"BE103*$B$13","v":103669167.81809621},731.49716359241734,1.0985151889357917E-10,3.3482978840928893E-8,5.4198223161010992E-8,1.8016240517111423E-18,1.2160980716562097E-5,null,3.1648777738162506E-5,8039826184102949,{"$f":"IF($C$3=\"yes\", IF($B$12=\"n\",Mobility!IJ18,Mobility!IK18))","v":434.74527616358392},85031630107035.469]
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["Fermi_Dirac",{"$f":"BQ17","v":1.1731447559272576E-13},null,null,16,6.4418545950024777E-5,{"$f":"IF($C$3=\"yes\",IF($B$26=\"yes\",Doping_II(F19,$B$5,$B$2,$B$4,$B$14,$B$7,$B$12),Doping_con(F19,$B$5,$B$2,$B$4,$B$7)))","v":1.4376966640889662E+16},null,{"$f":"IF($C$3=\"yes\",BZpn(G19, $B$4, N_i, kT_q))","v":9.4004095608245158E+19},6538.5208129291514,1.4376966640889662E+16,null,{"$f":"Mobility!GE23","v":1057.9075268876697},{"$f":"Mobility!GF23","v":418.46476991012338},null,1.3027023971729382E-3,2.9295370722984882E-3,1108.9858951400736,null,null,null,null,null,null,754.03011351946407,2.2371044106088766E-10,6.814689519875027E-8,1.3276031337819998E-7,8.8244235753967037E-18,2.6845090633887048E-5,null,null,null,"qh",{"$f":"1/4","v":0.25},6538.5208129291514,1.4376966640889662E+16,7.3951297819451042E-4,3.3632414403771705E-16,7.3951297819484674E-4,3.5592759640519235E-4,-9.5738669448408045E-2,-0.1086541194995814,-0.20439278894798946,9.7098102601001044E-4,1.4350054536164289E-7,-6.7085048527087299E-2,-6.6771957776060445E-2,-0.13385700630314773,2.6947325324944474E-3,2.9033015789118725E-3,4.5786517964616758E-4,{"$f":"IF($C$3=\"yes\",inv_fermi_dirac_App(AZ19))","v":-7.6887739060067304},-7.9053239083821252,null,1.167139973637408E+20,8118.1239602930882,1.4376966640889662E+16,null,{"$f":"Mobility!IJ23","v":1057.9075268876702},{"$f":"Mobility!IK23","v":418.46476991012003},null,1.3027023971729382E-3,2.4335076313453602E-3,1178.5645043204102,null,null,null,null,1024.6534428300524,2.5159217226773396E-10,8.9113993487902347E-8,1.8639556222055361E-7,1.1506461189123398E-17,4.8978954463519293E-5,null,5.6994320265842645E-5,1.2625275489751408E+16,{"$f":"IF($C$3=\"yes\", IF($B$12=\"n\",Mobility!IJ22,Mobility!IK22))","v":422.58311733023851},195572344309274.09]
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