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 --- .../Chapter2.ipynb | 281 --------------------- 1 file changed, 281 deletions(-) delete mode 100755 ELECTRICAL_ENGINEERING_MATERIALS_by_R.K.Shukla/Chapter2.ipynb (limited to 'ELECTRICAL_ENGINEERING_MATERIALS_by_R.K.Shukla/Chapter2.ipynb') diff --git a/ELECTRICAL_ENGINEERING_MATERIALS_by_R.K.Shukla/Chapter2.ipynb b/ELECTRICAL_ENGINEERING_MATERIALS_by_R.K.Shukla/Chapter2.ipynb deleted file mode 100755 index 1cfc005c..00000000 --- a/ELECTRICAL_ENGINEERING_MATERIALS_by_R.K.Shukla/Chapter2.ipynb +++ /dev/null @@ -1,281 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "collapsed": false - }, - "source": [ - "# Chapter 2:Band Theory of Solids" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "collapsed": true - }, - "source": [ - "# Example 2.1,Page No:2.2" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Lowest three permissable quantum energies are E1 = 6 eV\n", - " E2 = 24 eV\n", - " E3 = 54 eV\n" - ] - } - ], - "source": [ - "import math\n", - "\n", - "#variable declaration\n", - "h = 6.63*10**-34; # plancks constant in J.s\n", - "m = 9.1*10**-31; # mass of electron in kg\n", - "a = 2.5*10**-10; # width of infinite square well\n", - "e = 1.6*10**-19; # charge of electron coulombs\n", - "n2 = 2; #number of permiissable quantum\n", - "n3 = 3; #number of permiissable quantum\n", - "\n", - "# Calculations\n", - "E1 = (h**2)/float(8*m*a**2*e); # first lowest permissable quantum energy in eV\n", - "E2 = n2**2 *E1; # second lowest permissable quantum energy in eV\n", - "E3 = n3**2 *E1; # second lowest permissable quantum energy in eV\n", - "\n", - "# Result\n", - "print'Lowest three permissable quantum energies are E1 = %d'%E1,'eV';\n", - "print' E2 = %d'%E2,'eV';\n", - "print' E3 = %d'%E3,'eV';" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Example 2.2,Page No:2.4" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Energy Difference = 113.21 eV\n" - ] - } - ], - "source": [ - "import math\n", - "\n", - "#variable declaration\n", - "h = 6.63*10**-34; # plancks constant in J.s\n", - "m = 9.1*10**-31; # mass of electron in kg\n", - "a = 10**-10; # width of infinite square well in m\n", - "e = 1.6*10**-19; # charge of electron in coulombs\n", - "n1 = 1; #energy level constant\n", - "n2 = 2; #energy level constant\n", - "\n", - "# calculations\n", - "E1 = ((n1**2)*(h**2))/float(8*m*(a**2)*e); # ground state energy in eV\n", - "E2 = ((n2**2)*(h**2))/float(8*m*(a**2)*e); # first excited state in energy in eV\n", - "dE = E2-E1 # difference between first excited and ground state(E2 - E1)\n", - "\n", - "#Result\n", - "print'Energy Difference = %3.2f '%dE,'eV';\n", - "\n", - " \n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Example 2.3,Page No:2.5" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "First Three Energy levels are \n", - " E1 = 1.51 eV\n", - " E2 = 6 eV\n", - " E3 = 13.59 eV\n", - "\n", - " Above calculation shows that the energy of the bound electron cannot be continuous\n" - ] - } - ], - "source": [ - "import math\n", - "\n", - "# Variable declaration\n", - "h = 6.63*10**-34; # plancks constant in J.s\n", - "m = 9.1*10**-31; # mass of electron in kg\n", - "a = 5*10**-10; # width of infinite potential well in m\n", - "e = 1.6*10**-19; # charge of electron in coulombs\n", - "n1 = 1; # energy level constant\n", - "n2 = 2; # energy level constant\n", - "n3 = 3; # energy level constant\n", - "\n", - "#Calculations\n", - "E1 = ((n1**2)*(h**2))/(8*m*(a**2)*e); # first energy level in eV\n", - "E2 = ((n2**2)*(h**2))/(8*m*(a**2)*e); # second energy level in eV\n", - "E3 = ((n3**2)*(h**2))/(8*m*(a**2)*e); # third energy level in eV\n", - "\n", - "# Result\n", - "print'First Three Energy levels are \\n E1 = %3.2f'%E1,'eV';\n", - "print' E2 = %d'%E2,'eV';\n", - "print' E3 = %3.2f'%E3,'eV';\n", - "print'\\n Above calculation shows that the energy of the bound electron cannot be continuous';\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Example 2.4,Page No:2.5" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Lowest energy bandwidth = 0.452 eV\n" - ] - } - ], - "source": [ - "import math\n", - "\n", - "#variable declaration\n", - "h = 1.054*10**-34; #plancks constant in J.s\n", - "m = 9.1*10**-31; #mass of electron in kg\n", - "a = 5*10**-10; #width of infinite potential well in m\n", - "e = 1.6*10**-19; # charge of electron coulombs\n", - "\n", - "# Calculations\n", - "#cos(ka) = ((Psin(alpha*a))/(alpha*a)) + cos(alpha*a)\n", - "#to find the lowest allowed energy bandwidth,we have to find the difference in αa values, as ka changes from 0 to π\n", - "# for ka = 0 in above eq becomes\n", - "# 1 = 10*sin(αa))/(αa)) + cos(αa)\n", - "# This gives αa = 2.628 rad\n", - "# ka = π , αa = π\n", - "# sqrt((2*m*E2)/h**2)*a = π\n", - "\n", - "E2 = ((math.pi*math.pi)*h**2)/(2*m*a**2*e); #energy in eV\n", - "E1 = ((2.628**2)*h**2)/(2*m*a**2*e); #for αa = 2.628 rad energy in eV\n", - "dE = E2 - E1; #lowest energy bandwidth in eV\n", - "\n", - "# Result\n", - "print'Lowest energy bandwidth = %3.3f'%dE,'eV';\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Example 2.5,Page No:2.8" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Electron Momentum for first Brillouin zone appearance = 1.105e-24 eV\n", - "\n", - " Energy of free electron with this momentum = 4.2 eV\n", - "\n", - " Note: in Textbook Momentum value is wrongly printed as 1.1*10**-10\n" - ] - } - ], - "source": [ - "import math\n", - "\n", - "# Variable declaration\n", - "a = 3*10**-10; # side of 2d square lattice in m\n", - "h = 6.63*10**-34; # plancks constant in J.s\n", - "e = 1.6*10**-19 # charge of electron in coulombs\n", - "m = 9.1*10**-31; # mass of electron in kg\n", - "\n", - "# calculations\n", - "#p = h*k # momentum of the electron\n", - "k = math.pi/float(a); # first Brillouin zone\n", - "p = (h/float(2*math.pi))*(math.pi/float(a)); # momentum of electron\n", - "E = (p**2)/float(2*m*e) # Energyin eV\n", - "\n", - "#Result\n", - "print'Electron Momentum for first Brillouin zone appearance = %g'%p,'eV';\n", - "print'\\n Energy of free electron with this momentum = %4.1f'%E,'eV';\n", - "print'\\n Note: in Textbook Momentum value is wrongly printed as 1.1*10**-10';" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] - } - ], - "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": "2.7.6" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} -- cgit