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| author | hardythe1 | 2015-06-11 17:31:11 +0530 |
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| committer | hardythe1 | 2015-06-11 17:31:11 +0530 |
| commit | 79c59acc7af08ede23167b8455de4b716f77601f (patch) | |
| tree | 2d6ff34b6f131d2671e4c6b798f210b3cb1d4ac7 /Engineering_Physics_by_P.K.Palanisamy/Chapter4.ipynb | |
| parent | df60071cf1d1c18822d34f943ab8f412a8946b69 (diff) | |
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diff --git a/Engineering_Physics_by_P.K.Palanisamy/Chapter4.ipynb b/Engineering_Physics_by_P.K.Palanisamy/Chapter4.ipynb new file mode 100755 index 00000000..2b7c926e --- /dev/null +++ b/Engineering_Physics_by_P.K.Palanisamy/Chapter4.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
+}
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