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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"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}