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-{

- "cells": [

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "#7: Band Theory of Solids"

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 7.1, Page number 7.5"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 5,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "density of electrons is 5.86 *10**28\n",

-      "mobility of electrons is 0.725 *10**-2 m**2 V-1 s-1\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "rho_s=10.5*10**3;     #density(kg/m**3)\n",

-    "NA=6.02*10**26;       #avagadro number(per k mol)\n",

-    "MA=107.9;      #atomic mass\n",

-    "sigma=6.8*10**7;     #conductance(ohm-1 m-1)\n",

-    "e=1.6*10**-19;     #charge(coulomb)\n",

-    "\n",

-    "#Calculation\n",

-    "n=rho_s*NA/MA;     #density of electrons\n",

-    "mew=sigma/(n*e);    #mobility of electrons(m**2/Vs)\n",

-    "\n",

-    "#Result\n",

-    "print \"density of electrons is\",round(n/10**28,2),\"*10**28\"\n",

-    "print \"mobility of electrons is\",round(mew*10**2,3),\"*10**-2 m**2 V-1 s-1\""

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 7.2, Page number 7.6"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 9,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "mobility of electrons is 0.427 *10**-2 m V-1 s-1\n",

-      "average time of collision is 2.43 *10**-14 s\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "d=8.92*10**3;     #density(kg/m**3)\n",

-    "rho=1.73*10**-8;     #resistivity of copper(ohm m)\n",

-    "NA=6.02*10**26;       #avagadro number(per k mol)\n",

-    "Aw=63.5;      #atomic weight\n",

-    "m=9.1*10**-31;     #mass(kg)\n",

-    "e=1.6*10**-19;     #charge(coulomb)\n",

-    "\n",

-    "#Calculation\n",

-    "n=d*NA/Aw;     #density of electrons\n",

-    "mew=1/(rho*n*e);    #mobility of electrons(m**2/Vs)\n",

-    "t=m/(n*e**2*rho);    #average time of collision(s)\n",

-    "\n",

-    "#Result\n",

-    "print \"mobility of electrons is\",round(mew*10**2,3),\"*10**-2 m V-1 s-1\"\n",

-    "print \"average time of collision is\",round(t*10**14,2),\"*10**-14 s\""

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 7.3, Page number 7.7"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 11,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "relaxation time of conduction electrons is 3.97 *10**-14 s\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "P=1.54*10**-8;     #resistance(ohm m)\n",

-    "n=5.8*10**28;      #number of electrons(per m**3)\n",

-    "m=9.108*10**-31;     #mass(kg)\n",

-    "e=1.602*10**-19;     #charge(coulomb)\n",

-    "\n",

-    "#Calculation\n",

-    "t=m/(n*e**2*P);      #relaxation time of conduction electrons(s) \n",

-    "\n",

-    "#Result\n",

-    "print \"relaxation time of conduction electrons is\",round(t*10**14,2),\"*10**-14 s\""

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 7.4, Page number 7.8"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 15,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "free electron concentration is 1.8088 *10**29 electrons/m**2\n",

-      "mobility is 1.278 *10**-3 m s-1 V-1\n",

-      "drift velocity of electrons is 0.23 *10**-3 m s-1\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "R=0.06;    #resistance(ohm)\n",

-    "I=15;      #current(A)\n",

-    "D=5;     #length(m)\n",

-    "MA=26.98;       #atomic mass\n",

-    "rho_s=2.7*10**3;    #density(kg/m**3)\n",

-    "NA=6.025*10**26;       #avagadro number(per k mol)\n",

-    "e=1.602*10**-19;     #charge(coulomb)\n",

-    "\n",

-    "#Calculation\n",

-    "n=3*rho_s*NA/MA;     #free electron concentration(electrons/m**2)\n",

-    "mew=1/(n*e*rho_s*10**-11);     #mobility(m s-1 V-1)\n",

-    "E=I*R/D;     #electric field(V/m)\n",

-    "vd=mew*E;    #drift velocity of electrons(m/s)\n",

-    "\n",

-    "#Result\n",

-    "print \"free electron concentration is\",round(n/10**29,4),\"*10**29 electrons/m**2\"\n",

-    "print \"mobility is\",round(mew*10**3,3),\"*10**-3 m s-1 V-1\"\n",

-    "print \"drift velocity of electrons is\",round(vd*10**3,2),\"*10**-3 m s-1\""

-   ]

-  }

- ],

- "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

-}