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diff --git a/Engineering_Physics_by_K._Rajagopal/Chapter_10.ipynb b/Engineering_Physics_by_K._Rajagopal/Chapter_10.ipynb new file mode 100755 index 00000000..293510cb --- /dev/null +++ b/Engineering_Physics_by_K._Rajagopal/Chapter_10.ipynb @@ -0,0 +1,178 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 10: Energy Bands in Solids" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.1, Page 323" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import log\n", + "\n", + "#Variable declaration\n", + "#E=Ef+1% of Ef\n", + "k=1.38*1e-23;#boltzman constant\n", + "e=1.6*1e-19;#charge of electron\n", + "E=0.0555;\n", + "\n", + "#calculations\n", + "#0.1=1/[(exp((E*e)/(k*T)))+1]\n", + "T=(E*e)/(k*log(9));#Temprature\n", + "\n", + "#Result\n", + "print 'Temprature = %.f K'%T\n", + "#Incorrect answer in the textbook\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Temprature = 293 K\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.2, Page 324\n" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import exp\n", + "\n", + "#Variable declaration\n", + "sx=0.01 #in ev. where x=E-Ef\n", + "x1=sx*1.6*1e-19 #converting it in joule\n", + "T=200 #in kelvin\n", + "\n", + "#calculation\n", + "Fe=1/(1+exp(x1/(1.38*1e-23*T)));#The value of F(E) \n", + "\n", + "#Result\n", + "print 'The value of F(E) = %.2f'%Fe\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The value of F(E) = 0.36\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.3, Page 327" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#Variable declaration\n", + "density=7.13*1e3 #in kg/m^3\n", + "M=65.4\n", + "N=6.023*1e26 #avogedro number\n", + "\n", + "#Calculations\n", + "n=(2*density*N)/M\n", + "n1=n**(2./3);\n", + "Ef=3.65*1e-19*n1; #in eV\n", + "Ef1=(3./5)*Ef #in eV\n", + "\n", + "#Results\n", + "print 'fermi energy = %.1f eV'%Ef\n", + "print 'Mean energy at T=0K is %.f eV'%Ef1\n", + "#Incorrect answers in the textbook\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "fermi energy = 9.4 eV\n", + "Mean energy at T=0K is 6 eV\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.4, Page 328" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Variable declaration\n", + "Ef=5.51 #in eV\n", + "\n", + "#calculation\n", + "E=(3./5)*Ef;#The average energy of a free electron in silver at 0k\n", + "\n", + "#Result\n", + "print 'The average energy of a free electron in silver at 0k = %.3f eV'%E\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The average energy of a free electron in silver at 0k = 3.306 eV\n" + ] + } + ], + "prompt_number": 4 + } + ], + "metadata": {} + } + ] +}
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