From 79c59acc7af08ede23167b8455de4b716f77601f Mon Sep 17 00:00:00 2001
From: hardythe1
Date: Thu, 11 Jun 2015 17:31:11 +0530
Subject: add books

---
 .../Chapter5.ipynb                                 | 238 +++++++++++++++++++++
 1 file changed, 238 insertions(+)
 create mode 100755 Engineering_Physics_by_P.K.Palanisamy/Chapter5.ipynb

(limited to 'Engineering_Physics_by_P.K.Palanisamy/Chapter5.ipynb')

diff --git a/Engineering_Physics_by_P.K.Palanisamy/Chapter5.ipynb b/Engineering_Physics_by_P.K.Palanisamy/Chapter5.ipynb
new file mode 100755
index 00000000..f1b18946
--- /dev/null
+++ b/Engineering_Physics_by_P.K.Palanisamy/Chapter5.ipynb
@@ -0,0 +1,238 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "#5: Elements of statistical mechanics"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "##Example number 5.1, Page number 5.10"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "average thermal energy is 0.039 eV\n"
+     ]
+    }
+   ],
+   "source": [
+    "#importing modules\n",
+    "import math\n",
+    "from __future__ import division\n",
+    "\n",
+    "#Variable declaration\n",
+    "k=1.38*10**-23;    #boltzmann constant(J)\n",
+    "T=300;       #temperature(K)\n",
+    "e=1.6*10**-19;     #charge(c)\n",
+    "\n",
+    "#Calculation\n",
+    "E=3*k*T/(2*e);     #average thermal energy(eV)\n",
+    "\n",
+    "#Result\n",
+    "print \"average thermal energy is\",round(E,3),\"eV\""
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "##Example number 5.3, Page number 5.18"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "fermi function is 0.269\n"
+     ]
+    }
+   ],
+   "source": [
+    "#importing modules\n",
+    "import math\n",
+    "from __future__ import division\n",
+    "\n",
+    "#Variable declaration\n",
+    "kT=1;    #assume\n",
+    "E_Ef=kT;\n",
+    "\n",
+    "#Calculation\n",
+    "FE=1/(1+math.exp(1));     #fermi function\n",
+    "\n",
+    "#Result\n",
+    "print \"fermi function is\",round(FE,3)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "##Example number 5.4, Page number 5.18"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      " temperature is 290.2 K\n"
+     ]
+    }
+   ],
+   "source": [
+    "#importing modules\n",
+    "import math\n",
+    "from __future__ import division\n",
+    "\n",
+    "#Variable declaration\n",
+    "FE=10/100;     #fermi function\n",
+    "EF=5.5;     #energy function(eV)\n",
+    "e=1.6*10**-19;     #charge(c)\n",
+    "k=1.38*10**-23;    #boltzmann constant(J)\n",
+    "\n",
+    "#Calculation\n",
+    "E=EF+(EF/100);    #energy(eV)\n",
+    "x=math.log((1/FE)-1);\n",
+    "T=(E-EF)*e/(k*x);     #temperature(K)\n",
+    "\n",
+    "#Result\n",
+    "print \"temperature is\",round(T,1),\"K\""
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "##Example number 5.5, Page number 5.19"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "fermi velocity is 0.86 *10**6 m s-1\n"
+     ]
+    }
+   ],
+   "source": [
+    "#importing modules\n",
+    "import math\n",
+    "from __future__ import division\n",
+    "\n",
+    "#Variable declaration\n",
+    "k=1.38*10**-23;    #boltzmann constant(J)\n",
+    "T=24600;     #temperature(K)\n",
+    "m=9.108*10**-31;    #mass(kg)\n",
+    "\n",
+    "#Calculation\n",
+    "vF=math.sqrt(2*k*T/m);     #fermi velocity(m s-1)\n",
+    "\n",
+    "#Result\n",
+    "print \"fermi velocity is\",round(vF/10**6,2),\"*10**6 m s-1\""
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "##Example number 5.6, Page number 5.21"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "number of states is 1.1877 *10**26\n",
+      "answer given in the book is wrong\n"
+     ]
+    }
+   ],
+   "source": [
+    "#importing modules\n",
+    "import math\n",
+    "from __future__ import division\n",
+    "from scipy.integrate import quad\n",
+    "\n",
+    "#Variable declaration\n",
+    "EF=3.0;     #fermi energy(eV)\n",
+    "e=1.6*10**-19;     #charge(c)\n",
+    "m=9.14*10**-31;    #mass(kg)\n",
+    "h=6.62*10**-34;    #planck's constant\n",
+    "\n",
+    "#Calculation\n",
+    "E1=EF*e;     #energy(J)\n",
+    "E2=(EF+0.01)*e;   #energy(J)\n",
+    "def zintg(E):\n",
+    "\treturn (4*math.pi*(2*m)**(3/2)*math.sqrt(E))/h**3;\n",
+    "\n",
+    "n=quad(zintg,E1,E2)[0];      #number of states\n",
+    "\n",
+    "#Result\n",
+    "print \"number of states is\",round(n/10**26,4),\"*10**26\"\n",
+    "print \"answer given in the book is wrong\""
+   ]
+  }
+ ],
+ "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": "2.7.9"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
-- 
cgit