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diff --git a/Engineering_Physics_by_P.K.Palanisamy/Chapter7.ipynb b/Engineering_Physics_by_P.K.Palanisamy/Chapter7.ipynb new file mode 100755 index 00000000..8fddb7ff --- /dev/null +++ b/Engineering_Physics_by_P.K.Palanisamy/Chapter7.ipynb @@ -0,0 +1,212 @@ +{
+ "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
+}
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