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diff --git a/Engineering_Physics_Malik/Chapter_17.ipynb b/Engineering_Physics_Malik/Chapter_17.ipynb new file mode 100644 index 00000000..01028f54 --- /dev/null +++ b/Engineering_Physics_Malik/Chapter_17.ipynb @@ -0,0 +1,258 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 17: Band Theory of Solids" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 17.1, Page 17.18" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "# Given \n", + "a = 3e-10 # side of square lattice in m\n", + "h = 6.62e-34 # Planck constant in J sec\n", + "e = 1.6e-19 # charge on an electron in C\n", + "m = 9.1e-31 # mass of electron in kg\n", + "\n", + "#Calculations\n", + "p = (h / (2 * a))\n", + "E = (p**2 / (2 * m)) * (1. / e)\n", + "\n", + "#Result\n", + "print \"Electron momentum value at the sides of first Brilloin zone is %.1e kg-m/sec\\nEnergy of free electron is %.1f eV\"%(p,E)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Electron momentum value at the sides of first Brilloin zone is 1.1e-24 kg-m/sec\n", + "Energy of free electron is 4.2 eV\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 17.2, Page 17.19" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import log,pi\n", + "\n", + "# Given \n", + "n = 5e22 # no. of atoms per m^3\n", + "t = 300 # room temperature in K\n", + "k = 1.37e-23 # Boltzmann's constant in J/K\n", + "h = 6.62e-34 # Planck constant in J sec\n", + "e = 1.6e-19 # charge on an electron in C\n", + "m = 9.1e-31 # mass of electron in kg\n", + "\n", + "#Calculations\n", + "d = (k * t) * log(n * h**3 / (2 * (2 * pi * m * k * t)**(3./2)))\n", + "\n", + "#Result\n", + "print \"Position of fermi level is %.3f eV\"%(-d/e)\n", + "#Answer varies due to round-off errors" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Position of fermi level is 0.159 eV\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 17.3, Page 17.19" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "# Given \n", + "E = 0.3 # Fermi energy in eV\n", + "T = 330 # temperature in K\n", + "t = 300 # room temperature in K\n", + "k = 1.37e-23 # Boltzmann's constant in J/K\n", + "h = 6.62e-34 # Planck constant in J sec\n", + "e = 1.6e-19 # charge on an electron in C\n", + "m = 9.1e-31 # mass of electron in kg\n", + "\n", + "#Calculations\n", + "d = (T / t) * (E)\n", + "\n", + "print \"New position of fermi level is %.2f eV\"%d" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "New position of fermi level is 0.30 eV\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 17.4, Page 17.20" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import *\n", + "\n", + "# Given\n", + "E = 0.7 # band gap for semiconductor in eV\n", + "t = 300 # room temperature in K\n", + "k = 1.38e-23 # Boltzmann's constant in J/K\n", + "h = 6.62e-34 # Planck constant in J sec\n", + "e = 1.6e-19 # charge on an electron in C\n", + "m = 9.1e-31 # mass of electron in kg\n", + "\n", + "#Calculations\n", + "n = 2 * ((2 * pi * k * t * m) / h**2)**(3./2) * exp(-(E * e / (2 * k * t)))\n", + "\n", + "#Result\n", + "print \"Density of holes and electron is %.1e per m^3\"%n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Density of holes and electron is 3.4e+19 per m^3\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 17.5, Page 17.20" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "# Given \n", + "n = 5e28 # no. of atoms in per m^3\n", + "e = 1.6e-19 # charge on an electron in C\n", + "\n", + "#Calculations\n", + "R = -(1 / (n * e))\n", + "\n", + "#Resilt\n", + "print \"Hall coefficient is %.3e m^3/C\"%R" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Hall coefficient is -1.250e-10 m^3/C\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 17.6, Page 17.20" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " \n", + "# Given \n", + "a = 4.28e-10 # cell side of Na in m\n", + "e = 1.6e-19 # charge on an electron in C\n", + "\n", + "#Calculations\n", + "n = (2 / a**3)\n", + "R = -(1 / (n * e))\n", + "\n", + "#Result\n", + "print \"Hall coefficient is %.3e m^3/C\"%R" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Hall coefficient is -2.450e-10 m^3/C\n" + ] + } + ], + "prompt_number": 7 + } + ], + "metadata": {} + } + ] +}
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