From 4a1f703f1c1808d390ebf80e80659fe161f69fab Mon Sep 17 00:00:00 2001 From: Thomas Stephen Lee Date: Fri, 28 Aug 2015 16:53:23 +0530 Subject: add books --- .../Chapter4_1.ipynb | 203 +++++++++++++++++++++ 1 file changed, 203 insertions(+) create mode 100755 Engineering_Physics_by_P.K.Palanisamy/Chapter4_1.ipynb (limited to 'Engineering_Physics_by_P.K.Palanisamy/Chapter4_1.ipynb') diff --git a/Engineering_Physics_by_P.K.Palanisamy/Chapter4_1.ipynb b/Engineering_Physics_by_P.K.Palanisamy/Chapter4_1.ipynb new file mode 100755 index 00000000..2b7c926e --- /dev/null +++ b/Engineering_Physics_by_P.K.Palanisamy/Chapter4_1.ipynb @@ -0,0 +1,203 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#4: Defects in Crystals" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Example number 4.1, Page number 4.5" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ratio of vacancies is 1.082 *10**5\n" + ] + } + ], + "source": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "Ev=1;\n", + "k=1.38*10**-23; #boltzmann constant(J/K)\n", + "e=1.6*10**-19; #charge(eV)\n", + "\n", + "#Calculation\n", + "r=Ev/(2.303*1000*k/e); \n", + "n=10**r; #ratio of n1000/n500\n", + "\n", + "#Result\n", + "print \"ratio of vacancies is\",round(n/10**5,3),\"*10**5\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Example number 4.2, Page number 4.5" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "number of vacancies per atom at 350K is 0.5486 *10**-17\n", + "number of vacancies per atom at 500K is 0.827 *10**-12\n" + ] + } + ], + "source": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "Ev=1.2;\n", + "k=1.38*10**-23; #boltzmann constant(J/K)\n", + "e=1.6*10**-19; #charge(eV)\n", + "T1=350; #temperature(K)\n", + "T2=500; #temperature(K)\n", + "\n", + "#Calculation\n", + "x1=Ev/(2.303*k*T1/e);\n", + "n1=1/(10**x1); #number of vacancies per atom at 350K\n", + "x2=Ev/(2.303*k*T2/e);\n", + "n2=1/(10**x2); #number of vacancies per atom at 500K\n", + "\n", + "#Result\n", + "print \"number of vacancies per atom at 350K is\",round(n1*10**17,4),\"*10**-17\"\n", + "print \"number of vacancies per atom at 500K is\",round(n2*10**12,3),\"*10**-12\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Example number 4.3, Page number 4.7" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "average energy required is 1.971 eV\n" + ] + } + ], + "source": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "d=2.82*10**-10; #distance(m)\n", + "k=1.38*10**-23; #boltzmann constant(J/K)\n", + "e=1.6*10**-19; #charge(eV)\n", + "T=273+25; #temperature(K)\n", + "sd=5*10**11; #schotky defects(per m**3)\n", + "\n", + "#Calculation\n", + "V=(2*d)**3; #volume of unit cell(m**3)\n", + "N=4/V; #density of ion pairs\n", + "x=round(math.log10(N/sd),2);\n", + "Es=2*(k/e)*T*2.303*x; #average energy required(eV)\n", + "\n", + "#Result\n", + "print \"average energy required is\",round(Es,3),\"eV\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Example number 4.4, Page number 4.8" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ratio of Frenkel defects is 1.125 *10**-6\n" + ] + } + ], + "source": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "T1=273+25; #temperature(K)\n", + "T2=273+350; #temperature(K)\n", + "Ef=1.35; #energy(eV)\n", + "k=8.625*10**-5;\n", + "\n", + "#Calculation\n", + "x=(Ef/k)*((1/(2*T1))-(1/(2*T2)))/2.303;\n", + "r=1/(10**round(x,3)); #ratio of Frenkel defects\n", + "\n", + "#Result\n", + "print \"ratio of Frenkel defects is\",round(r*10**6,3),\"*10**-6\"" + ] + } + ], + "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