From 64d949698432e05f2a372d9edc859c5b9df1f438 Mon Sep 17 00:00:00 2001 From: kinitrupti Date: Fri, 12 May 2017 18:40:35 +0530 Subject: Revised list of TBCs --- .../Chapter12.ipynb | 285 +++++++++++++++++++++ 1 file changed, 285 insertions(+) create mode 100755 backup/Modern_Physics_By_G.Aruldas_version_backup/Chapter12.ipynb (limited to 'backup/Modern_Physics_By_G.Aruldas_version_backup/Chapter12.ipynb') diff --git a/backup/Modern_Physics_By_G.Aruldas_version_backup/Chapter12.ipynb b/backup/Modern_Physics_By_G.Aruldas_version_backup/Chapter12.ipynb new file mode 100755 index 00000000..b3818649 --- /dev/null +++ b/backup/Modern_Physics_By_G.Aruldas_version_backup/Chapter12.ipynb @@ -0,0 +1,285 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:881432a5cd98267b92bdfa11e021925fdef61ae98abdadccafbf254c6f9ca038" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "12: Band theory of solids" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 12.1, Page number 243" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "EF=8; #fermi energy(eV)\n", + "e=1.6*10**-19; #conversion factor from J to eV\n", + "m=9.1*10**-31; #mass of electron(kg)\n", + "\n", + "#Calculation\n", + "E0bar=3*EF/5; \n", + "v=math.sqrt(2*E0bar*e/m); #speed of electron(m/s)\n", + "\n", + "#Result\n", + "print \"speed of electron is\",round(v/10**6,1),\"*10**6 m/s\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "speed of electron is 1.3 *10**6 m/s\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 12.2, Page number 244" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "I=8; #current(ampere)\n", + "r=9*10**-4; #radius(m)\n", + "V=5; #potential difference(V)\n", + "L=1; #length(m)\n", + "\n", + "#Calculation\n", + "A=math.pi*r**2; #area of wire(m**2)\n", + "E=V/L;\n", + "J=I/A; #current density(V/m)\n", + "rho=E/J; #resistivity(ohm m)\n", + "\n", + "#Result\n", + "print \"current density is\",round(J/10**6,3),\"*10**6 V/m\"\n", + "print \"resistivity is\",round(rho*10**6,2),\"*10**-6 ohm m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "current density is 3.144 *10**6 V/m\n", + "resistivity is 1.59 *10**-6 ohm m\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 12.3, Page number 245" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "n=1;\n", + "a=4*10**-10; #lattice parameter(m)\n", + "N=1.56*10**28; \n", + "e=1.6*10**-19; #conversion factor from J to eV\n", + "tow=10**-15; #collision time(s)\n", + "m=9.1*10**-31; #mass of electron(kg)\n", + "\n", + "#Calculation\n", + "N=n/(a**3); #number of electrons per unit volume(per m**3)\n", + "sigma=N*e**2*tow/m; #conductivity(per ohm m)\n", + "rho=1/sigma; #resistivity(ohm m)\n", + "\n", + "#Result\n", + "print \"conductivity is\",round(sigma/10**6,2),\"*10**6 ohm m\"\n", + "print \"resistivity is\",rho,\"ohm m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "conductivity is 0.44 *10**6 ohm m\n", + "resistivity is 2.275e-06 ohm m\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 12.4, Page number 247" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "k=1.38*10**-23; #boltzmann constant(J/K)\n", + "NA=6.02*10**26; #avagadro number(k/mole)\n", + "T=300; #temperature(K)\n", + "EF=2; #fermi energy(eV)\n", + "e=1.6*10**-19; #conversion factor from J to eV\n", + "\n", + "#Calculation\n", + "C=math.pi**2*k**2*NA*T/(2*EF*e); #electronic specific heat(J/kmol/K)\n", + "\n", + "#Result\n", + "print \"electronic specific heat is\",int(C),\"J/kmol/K\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "electronic specific heat is 530 J/kmol/K\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 12.5, Page number 247" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "K=327; #thermal conductivity(W/mK)\n", + "T=300; #temperature(K)\n", + "rho=7.13*10**3; #density(kg/m**3)\n", + "NA=6.02*10**26; #avagadro number(k/mole)\n", + "w=65.38; #atomic weight\n", + "e=1.6*10**-19; #conversion factor from J to eV\n", + "tow=2.5*10**-14; #relaxation time(s)\n", + "m=9.1*10**-31; #mass of electron(kg)\n", + "\n", + "#Calculation\n", + "N=2*rho*NA/w; #number of electrons per unit volume(per m**3)\n", + "sigma=N*e**2*tow/m; #conductivity(per ohm m)\n", + "L=K/(sigma*T); #lorentz number(W ohm/K**2)\n", + "\n", + "#Result\n", + "print \"lorentz number is\",round(L*10**8,4),\"*10**-8 W ohm/K**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "lorentz number is 1.1804 *10**-8 W ohm/K**2\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 12.6, Page number 248" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "e=1.6*10**-19; #conversion factor from J to eV\n", + "n=5*10**28; #number of atoms(/m**3)\n", + "\n", + "#Calculation\n", + "RH=-1/(n*e); #hall coefficient(m**3/C)\n", + "\n", + "#Result\n", + "print \"hall coefficient is\",round(RH*10**9,3),\"*10**-9 m**3/C\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "hall coefficient is -0.125 *10**-9 m**3/C\n" + ] + } + ], + "prompt_number": 14 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit