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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 5: Elements of Statistical Mechanics"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 3, Page number 5.32"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"temperature is 1261.6 K\n",
"answer given in the book is wrong\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"E=5.5; #energy(eV)\n",
"Ef=5; #fermi energy(eV)\n",
"p=1/100; #probability\n",
"e=1.6*10**-19; #charge(coulomb)\n",
"k=1.38*10**-23; #boltzmann constant \n",
"\n",
"#Calculation\n",
"x=E-Ef; #difference in energy(eV)\n",
"y=math.log((1/p)-1);\n",
"T=x*e/(k*y); #temperature(K)\n",
"\n",
"#Result\n",
"print \"temperature is\",round(T,1),\"K\"\n",
"print \"answer given in the book is wrong\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example number 4, Page number 5.32"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"fermi energy is 3.15 eV\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"rho=970; #density(kg/m**3)\n",
"N=6.02*10**26; #avagadro number\n",
"A=23; #atomic weight(kg)\n",
"h=6.62*10**-34; #planks constant(Js)\n",
"m=9.1*10**-31; #mass(kg)\n",
"e=1.6*10**-19; #charge(coulomb)\n",
"\n",
"#Calculation\n",
"n=rho*N/A; #number of atoms per m**3\n",
"EF=(h**2/(8*m))*((3*n/math.pi)**(2/3)); #fermi energy(J)\n",
"EF=EF/e; #fermi energy(eV)\n",
"\n",
"#Result\n",
"print \"fermi energy is\",round(EF,2),\"eV\""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
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},
"nbformat": 4,
"nbformat_minor": 0
}
|
