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{"sheet":"main","index":0,"n_rows":6,"n_cols":2,"rows_kept":6,"cut":false,"hidden":false,"merged":[[3,1,3,3],[7,1,7,6],[10,1,10,3]]}
[]
[null,"Doping Calc"]
[]
[null,"Written by Phil Ahrenkiel, 2018"]
[]
[null,"Computes carrier concentation, etc."]

{"sheet":"calc np","index":1,"n_rows":77,"n_cols":10,"rows_kept":77,"cut":false,"hidden":false,"merged":[]}
[]
["Input:"]
["ND",0,"cm^-3","//donor density"]
["NA",0,"cm^-3","//acceptor density"]
["Vn",0.01,"eV","//donor ionization energy"]
["Vp",0.01,"eV","//acceptor ionization energy"]
["Eg",1.1000000000000001,"eV","//bandgap"]
["mC/m0",1,null,"//conduction-band effective mass"]
["mV/m0",1,null,"//valence-band effective mass"]
["T",300,"K","//temperature"]
[]
["Output:"]
["kT",{"$f":"const!$C$15*$B$10/300","v":2.5852026903638286E-2},"eV","//thermal energy"]
["N0",{"$f":"const!$C$23*($B$10/300)^1.5","v":2.5094165960582709E+19},"cm^-3","//reference effective DOS"]
["NC",{"$f":"$B$8^1.5*$B$14","v":2.5094165960582709E+19},"cm^-3","//conduction-band effective density of states"]
["NV",{"$f":"$B$9^1.5*$B$14","v":2.5094165960582709E+19},"cm^-3","//valence-band effective density of states"]
[null,null,null,null,null,null,null,null,null,"degenerate:"]
["ni",{"$f":"SQRT($B$15*$B$16*F3D(($B$7-B21)/$B$13)*F3D(B21/$B$13))","v":14454035524.694794},"cm^-3","//intrinsic carrier concentration",null,null,null,null,null,{"$f":"SQRT($B$15*$B$16)*EXP(-$B$7/2/$B$13)","v":14454035527.638275}]
["n",{"$f":"$B$15*F3D(($B$7-B22)/$B$13)","v":14454035524.694794},"cm^-3","//electron conc.",null,null,null,null,null,{"$f":"$B$18*EXP((B22-B21)/$B$13)","v":14454035524.694794}]
["p",{"$f":"$B$16*F3D(B22/$B$13)","v":14454035524.694794},"cm^-3","//hole conc.",null,null,null,null,null,{"$f":"$B$18*EXP((B21-B22)/$B$13)","v":14454035524.694794}]
["Ei-EV",{"$f":"find_Ei_degen(B15,B16,B7,B13)","v":0.55000000000000004},"eV","//intrinsic-level->VB separation",null,null,null,null,null,{"$f":"$B$7/2-$B$13/2*LN($B$15/$B$16)","v":0.55000000000000004}]
["EF-EV",{"$f":"find_EF_degen($B$3,$B$4,$B$5,$B$6,$B$15,$B$16,$B$7,$B$13)","v":0.55000000000000004},"eV","//Fermi-level->VB separation",null,null,null,null,null,{"$f":"find_EF($B$3,$B$4,$B$5,$B$6,$B$18,$B$7,J21,$B$13)","v":0.55000000000000004}]
["ED-EF",{"$f":"-$B$22+$B$7-$B$5","v":0.54},"eV","//Fermi-level->donor-level separation",null,null,null,null,null,{"$f":"-J22+$B$7-$B$5","v":0.54}]
["EF-EA",{"$f":"B22-$B$6","v":0.54},"eV","//Fermi-level->acceptor level separation",null,null,null,null,null,{"$f":"J22-$B$6","v":0.54}]
["ND(+)/ND",{"$f":"1-1/(EXP(B23/$B$13)+1)","v":0.99999999915197479},null,"//fraction of ionized donors",null,null,null,null,null,{"$f":"1-1/(EXP(J23/$B$13)+1)","v":0.99999999915197479}]
["NA(-)/NA",{"$f":"1-1/(EXP($B$24/$B$13)+1)","v":0.99999999915197479},null,"//fraction of ionized acceptors",null,null,null,null,null,{"$f":"1-1/(EXP(J24/$B$13)+1)","v":0.99999999915197479}]
["n/NC",{"$f":"$B$19/$B$15","v":5.7599186788669659E-10},null,"//fraction of filled conduction-band states",null,null,null,null,null,{"$f":"J19/$B$15","v":5.7599186788669659E-10}]
["p/NV",{"$f":"$B$20/$B$16","v":5.7599186788669659E-10},null,"//fraction of filled valence-band (hole) states",null,null,null,null,null,{"$f":"J20/$B$16","v":5.7599186788669659E-10}]
[]
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["x","EC","EV","ED","EA","EF","Ei"]
[]
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[]
[0,{"$f":"$B$7","v":1.1000000000000001},0,{"$f":"B76-$B$5","v":1.0900000000000001},{"$f":"C76+$B$6","v":0.01},{"$f":"B22+C76","v":0.55000000000000004},{"$f":"B21","v":0.55000000000000004}]
[1,{"$f":"B76","v":1.1000000000000001},{"$f":"C76","v":0},{"$f":"D76","v":1.0900000000000001},0.01,0.55000000000000004,0.55000000000000004]

{"sheet":"const","index":2,"n_rows":23,"n_cols":9,"rows_kept":23,"cut":false,"hidden":false,"merged":[]}
["Fundamental Constants:"]
["Description"]
["Planck constant","h (J.s)",6.6260687599999996E-34,null,"h (eV.s)",{"$f":"C3/C5","v":4.13566727333434E-15}]
["speed of light","c (m/s)",299792458]
["fundamental electric charge","e (C)",1.6021764620000001E-19]
["Boltzmann constant","k_B (J/K)",1.3806503000000001E-23,null,"k_B (eV/K)",{"$f":"C6/C5","v":8.6173423012127608E-5}]
["electron mass","m_e (kg)",9.1093818800000006E-31,null,"m_e·c^2 (J)",{"$f":"C7*C4^2","v":8.1871041397413285E-14},null,"m_e·c^2 (eV)",{"$f":"F7/C5","v":510998.90267526149}]
["Avagodro number","N_A (1/mole)",6.0221415000000003E+23]
["permitivitty of free space","eps0 (F/m)",8.8541878170000005E-12]
[]
[]
[]
["Derived Constants:"]
["Description"]
["room temp. thermal energy","k_B·(300K) (eV)",{"$f":"300*const!C6/const!C5","v":2.5852026903638286E-2}]
["Planck constant x speed of light","h·c (eV·nm)",{"$f":"const!F3*const!C4*1000000000","v":1239.8418573430597},null,"h·c (KeV·nm)",{"$f":"C16/1000","v":1.2398418573430596}]
["universal gas constant","R (J/mol/K)",{"$f":"const!C6*const!C8","v":8.3144714686174517}]
["Faraday Constant","F (C/mol)",{"$f":"const!C8*const!C5","v":96485.333621333746}]
["Stefan Constant","ss (W.m^2/K)",{"$f":"2*PI()^5/15*C6^4/C3^3/C4^2","v":5.6703993443637977E-8}]
["h_bar",null,{"$f":"C3/2/PI()","v":1.0545715964207855E-34}]
["Bohr Radius","a0 (m)",{"$f":"4*PI()*C9*C20^2/C7/C5^2","v":5.2917720857030988E-11}]
["Rydberg",null,{"$f":"C20^2/2/C7/C21^2","v":2.1798719016382761E-18},null,null,{"$f":"C22/C5","v":13.60569171586217}]
["Reference effective DOS","N0 (cm^-3)",{"$f":"2*(2*PI()*I7*C15/(C16/10000000)^2)^1.5","v":2.5094165960582709E+19}]