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{
"metadata": {
"name": "",
"signature": "sha256:28632a8e2e8b8cfc35d61b358e115b3b420083bd7c5c7f588f01ea1f5ef49276"
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"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 20 Free electron theory"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 20.1 Page no 191"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"a=0.971*10**3 #Kg/m**3\n",
"w=22.99\n",
"N0=6*10**26\n",
"m=9.1*10**-31 #Kg\n",
"h=6.626*10**-34 #J-s\n",
"\n",
"#Calculation\n",
"import math\n",
"N=(N0*a)/w\n",
"Ef=(h/(8*m))*((3*N)/math.pi)**0.66\n",
"\n",
"#Result\n",
"print\"Fermi energy is\", round(Ef*10**-14,0)*10**-19,\"J\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Fermi energy is 5e-19 J\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 20.2 Page no 192"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"a=10**-10 #m\n",
"m=9.1*10**-31 #Kg\n",
"h=6.626*10**-34 #J-s\n",
"\n",
"#Calculation\n",
"E=3*h**2/(8*m*a**2)\n",
"\n",
"#Result\n",
"print\"Energy difference is\", round(E*10**17,3)*10**-17,\"J\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Energy difference is 1.809e-17 J\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 20.3 Page no 192"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Given\n",
"x=1.39\n",
"K=0.025\n",
"Ef=3.2\n",
"\n",
"#Calculation\n",
"E=x*K\n",
"E1=E+Ef\n",
"\n",
"#Result\n",
"print\"Energy at 300 K is\", round(E1,3),\"ev\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Energy at 300 K is 3.235 ev\n"
]
}
],
"prompt_number": 23
}
],
"metadata": {}
}
]
}
|
