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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 3: Carrier Transport Phenomena"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.1 Page 51"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variable\n",
"from math import *\n",
"M=.1;#mobility\n",
"t=300;#kelvin\n",
"n=.26;\n",
"q=1.6*10**-19;#C\n",
"m=9.1*10**-31;#kg\n",
"v=100000;#m/s\n",
"\n",
"#calculation\n",
"T=(n*m*M)/q;#mean free time\n",
"P=v*T;#mean free path\n",
"\n",
"#result\n",
"print\"mean free time is\",round(T*10**12,3),\"ps\"\n",
"print\"mean free path is\",round(P*10**9,1),\"nm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"mean free time is 0.148 ps\n",
"mean free path is 14.8 nm\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.2 Page 54"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variable\n",
"from math import *\n",
"D=10**16;#doping\n",
"n=1300;\n",
"q=1.6*10**-19;#Charge\n",
"\n",
"#calculation\n",
"R=1/(D*n*q);#resistivity\n",
"\n",
"#result\n",
"print\"resistivity is\",round(R,2),\"ohm-cm\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"resistivity is 0.48 ohm-cm\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.3 Page 56"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variable\n",
"from math import *\n",
"D=10**16;#doping\n",
"W=500;#width\n",
"A=2.5/1000;#area\n",
"I=1;#mA\n",
"B=10**-4;#Wb/cm^2\n",
"q=1.6*10**-19;#charge\n",
"\n",
"#calculation\n",
"R=-1/(q*D);#hall coefficient\n",
"Vh=(R*I*B*W)/A;#hall voltage\n",
"\n",
"#result\n",
"print\"Hall voltage is\",round(Vh/10000,2),\"mV\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Hall voltage is -1.25 mV\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.4 Page 58"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variable\n",
"from math import *\n",
"T=300;#K\n",
"n1=10**18;#concentration\n",
"n2=7*10**17;#concentration\n",
"x=.1;#distance\n",
"D=22.5;#diffusion coefficient\n",
"q=1.6*10**-19;#charge\n",
"\n",
"#calculation\n",
"Id=q*D*(n1-n2)/x;#diffusion current\n",
"\n",
"#result\n",
"print\"diffusion current density is\",round(Id,2),\"A/cm^2\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"diffusion current density is 10.8 A/cm^2\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.5 Page 59"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variable\n",
"from math import *\n",
"E=50;#V/cm\n",
"x=1;#cm\n",
"t=.1#ms\n",
"\n",
"#calculation\n",
"Vd=x/t;#drift velocity\n",
"u=Vd/E;\n",
"D=.0259*u;#diffusivity\n",
"\n",
"#result\n",
"print\"drift velocity is\",round(Vd*1000,2),\"cm/s\"\n",
"print\"diffusivity is\",round(D*1000,2),\"cm^2/s\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"drift velocity is 10000.0 cm/s\n",
"diffusivity is 5.18 cm^2/s\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.6 Page 63"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variable\n",
"from math import *\n",
"n1=10**14;#concentration\n",
"n2=9.65*10**9;\n",
"n3=10**13;#hole-pair concentration\n",
"t=2;#time\n",
"\n",
"#calculation\n",
"p=((n2)**2)/n1;\n",
"C=p+t*n3;#concentration\n",
"\n",
"#result\n",
"print\"change in minority carrier concentration is\",round(C/10**13)*10**13,\"cm^-3\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"change in minority carrier concentration is 2e+13 cm^-3\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.7 Page 71"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variable\n",
"from math import *\n",
"t1=100;#time\n",
"t2=200;#time\n",
"f=5;#factor\n",
"\n",
"#calculation\n",
"L=(t2-t1)/log(f/2**.5);#lifetime\n",
"\n",
"#result\n",
"print\"minority carrier lifetime is\",round(L,0),\"micro sec\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"minority carrier lifetime is 79.0 micro sec\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3.8 Page 73"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variable\n",
"from math import *\n",
"E1=4.05;#eV\n",
"E2=.2;#eV\n",
"n=2.86*10**19;#concentration\n",
"E3=.6;#eV\n",
"\n",
"#calculation\n",
"N1=n*exp(-(E1+E2)/.0259);#electron density\n",
"N3=n*exp(-(E2+E3)/.0259);#electron density\n",
"\n",
"#result\n",
"print\"emitted electron density 1 is\",round(N1/2,52),\"is almost equals 0\"\n",
"print\"emitted electron density 2 is\",round(round(N3/1000000)*10**6,2),\"cm^-3\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"emitted electron density 1 is 1e-52 is almost equals 0\n",
"emitted electron density 2 is 1000000.0 cm^-3\n"
]
}
],
"prompt_number": 5
}
],
"metadata": {}
}
]
}
|
