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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 2: Energy Bands and Carrier Concentration in Thermal Equillibrium"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2.1,Page21"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variable\n",
"from math import *\n",
"S=2;#spheres\n",
"D=3**.5/2;#diameter\n",
"\n",
"#calculation\n",
"R=D/2;#radius\n",
"V=4*pi*R**3/3;#volume\n",
"F=S*V;\n",
"\n",
"#result\n",
"print\"fraction of volume of bcc unit cell is\",round(F*100,1),\"%\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"fraction of volume of bcc unit cell is 68.0 %\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example2.2, Page22"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variable\n",
"from math import *\n",
"T=300;#K\n",
"r=5.43*10**-10;#radius\n",
"A=6.023*10**23;#avagadro's no.\n",
"W=28.09;#atomic weight\n",
"\n",
"#calculation\n",
"N=8/r**3;#number\n",
"D=N*W/A;#density\n",
"\n",
"#result\n",
"print\"number is\",round(N/10**28)*10**22,\"atoms/cm^3\"\n",
"print\"density is\",round(D/1000000,2),\"g/cm^3\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"number is 5e+22 atoms/cm^3\n",
"density is 2.33 g/cm^3\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"\n",
"Example2.4 Page41"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variable\n",
"from math import *\n",
"D=10**16;#doping\n",
"T=300;#K\n",
"N=9.65*10**9\n",
"Nc=2.86*10**19\n",
"\n",
"#calculation\n",
"p=N**2/D;#carrier concentration\n",
"F1=.0259*log(Nc/D);#fermi level\n",
"F2=.0259*log(D/N);#fermi level\n",
"\n",
"#result\n",
"print\"carrier concentration is\",round(p,2),\"cm^-3\"\n",
"print\"conduction band fermi level is\",round(F1,3),\"eV\"\n",
"print\"intrinsic level fermi level is\",round(F2,3),\"eV\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"carrier concentration is 9312.25 cm^-3\n",
"conduction band fermi level is 0.206 eV\n",
"intrinsic level fermi level is 0.359 eV\n"
]
}
],
"prompt_number": 6
}
],
"metadata": {}
}
]
}
|
