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author | Prashant S | 2020-04-14 10:25:32 +0530 |
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committer | GitHub | 2020-04-14 10:25:32 +0530 |
commit | 06b09e7d29d252fb2f5a056eeb8bd1264ff6a333 (patch) | |
tree | 2b1df110e24ff0174830d7f825f43ff1c134d1af /Engineering_Physics_by_H_K_Malik/17-BAND_THEORY_OF_SOLIDS.ipynb | |
parent | abb52650288b08a680335531742a7126ad0fb846 (diff) | |
parent | 476705d693c7122d34f9b049fa79b935405c9b49 (diff) | |
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diff --git a/Engineering_Physics_by_H_K_Malik/17-BAND_THEORY_OF_SOLIDS.ipynb b/Engineering_Physics_by_H_K_Malik/17-BAND_THEORY_OF_SOLIDS.ipynb new file mode 100644 index 0000000..51a4fa1 --- /dev/null +++ b/Engineering_Physics_by_H_K_Malik/17-BAND_THEORY_OF_SOLIDS.ipynb @@ -0,0 +1,216 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 17: BAND THEORY OF SOLIDS" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 17.1: EX17_1.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"// Given that \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", +"// Sample Problem 1 on page no. 17.18\n", +"printf('\n # PROBLEM 1 # \n')\n", +"printf('Standard formula used \n ')\n", +"printf('E = P^2 / (2*m) \n P = h_cut*k \n')\n", +"p = (h / (2 * a))\n", +"E = (p^2 / (2 * m)) * (1 / e)\n", +"printf('\n Electron momentum value at the sides of first Brilloin zone is %e kg-m/sec.\n Enrgy of free electron is %f eV.',p,E)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 17.2: Calculation_of_Position_of_Fermi_level.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"// Given that \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", +"// Sample Problem 2 on page no. 17.19\n", +"printf('\n # PROBLEM 2 # \n')\n", +"printf('Standard formula used \n')\n", +"printf('n_c = 2*(2*pi*m*k*T/h^2)^(3/2) * e^(E_f-E_c)/kT \n')\n", +"d = (k * t) * log(n * h^3 / (2 * (2 * %pi * m * k * t)^(3/2)))\n", +"printf('\n Position of fermi level is %f eV.',-d/e)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 17.3: Calculation_of_New_position_of_Fermi_level.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"// Given that \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", +"// Sample Problem 3 on page no. 17.19\n", +"printf('\n # PROBLEM 3 # \n')\n", +"printf('Standard formula used \n')\n", +"printf('n_c = n_d * e^(E_f-E_c)/kT \n')\n", +"d = (T / t) * (E)\n", +"printf('\n New position of fermi level is %f eV.',d)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 17.4: Calculation_of_Density_of_holes_and_electron.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"// Given that \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", +"// Sample Problem 4 on page no. 17.20\n", +"printf('\n # PROBLEM 4 # \n')\n", +"printf('Standard formula used \n')\n", +"printf('n_c = 2*(2*pi*m*k*T/h^2)^(3/2) * e^(E_f-E_c)/kT \n')\n", +"n = 2 * ((2 * %pi * k * t * m) / h^2)^(3/2) * exp(-(E * e / (2 * k * t)))\n", +"printf('\n Density of holes and electron is %e per m^3.',n)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 17.5: Calculation_of_Hall_coefficient.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"// Given that \n", +"n = 5e28 // no. of atoms in per m^3\n", +"e = 1.6e-19 // charge on an electron in C\n", +"// Sample Problem 5 on page no. 17.20\n", +"printf('\n # PROBLEM 5 # \n')\n", +"printf('Standard formula used \n')\n", +"printf('R_h = 1/(n*e) \n')\n", +"R = -(1 / (n * e))\n", +"printf('\n Hall coefficient is %e m^3/C.',R)" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 17.6: Calculation_of_Hall_coefficient.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clc \n", +"// Given that \n", +"a = 4.28e-10 // cell side of Na in m\n", +"e = 1.6e-19 // charge on an electron in C\n", +"// Sample Problem 6 on page no. 17.20\n", +"printf('\n # PROBLEM 6 # \n')\n", +"printf('Standard formula used \n')\n", +"printf('R_h = 1/(n*e) \n')\n", +"n = (2 / a^3)\n", +"R = -(1 / (n * e))\n", +"printf('\n Hall coefficient is %e m^3/C.',R)" + ] + } +], +"metadata": { + "kernelspec": { + "display_name": "Scilab", + "language": "scilab", + "name": "scilab" + }, + "language_info": { + "file_extension": ".sce", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "scilab", + "version": "0.7.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |