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diff --git a/Engineering_Physics_by_G_Aruldhas/10-STATISTICAL_MECHANICS.ipynb b/Engineering_Physics_by_G_Aruldhas/10-STATISTICAL_MECHANICS.ipynb new file mode 100644 index 0000000..2c4cace --- /dev/null +++ b/Engineering_Physics_by_G_Aruldhas/10-STATISTICAL_MECHANICS.ipynb @@ -0,0 +1,155 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 10: STATISTICAL MECHANICS" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 10.1: Ratio_of_occupancy_of_two_states.sci" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Scilab Code Ex10.1: Page-222 (2010)\n", +"k = 1.38e-023; // Boltzmann constant, J/K\n", +"e = 1.6e-019; // Energy equivalent of 1 eV, J/eV\n", +"g1 = 2; // The degeneracy of ground state\n", +"g2 = 8; // The degeneracy of excited state\n", +"delta_E = 10.2; // Energy of excited state above the ground state, eV\n", +"T = 6000; // Temperature of the state, K\n", +"D_ratio = g2/g1; // Ratio of degeneracy of states\n", +"N_ratio = D_ratio*exp(-delta_E/(k*T/e)); // Ratio of occupancy of the excited to the ground state\n", +"printf('\nThe ratio of occupancy of the excited to the ground state at %d K = %4.2e', T, N_ratio);\n", +"\n", +"// Result\n", +"// The ratio of occupancy of the excited to the ground state at 6000 K = 1.10e-008 " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 10.4: Number_density_and_fermi_energy_of_silver.sci" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Scilab Code Ex10.4: Page-223 (2010)\n", +"e = 1.6e-019; // Energy equivalent of 1 eV, J/eV\n", +"N_A = 6.023e+023; // Avogadro's number\n", +"h = 6.626e-034; // Planck's constant, Js\n", +"me = 9.1e-031; // Mass of electron, kg\n", +"rho = 10.5; // Density of silver, g per cm\n", +"m = 108; // Molecular mass of silver, g/mol\n", +"N_D = rho*N_A/(m*1e-006); // Number density of conduction electrons, per metre cube\n", +"E_F = h^2/(8*me)*(3/%pi*N_D)^(2/3);\n", +"printf('\nThe number density of conduction electrons = %4.2e per metre cube', N_D);\n", +"printf('\nThe Fermi energy of silver = %4.2f eV', E_F/e);\n", +"\n", +"// Result\n", +"// The number density of conduction electrons = 5.86e+028 per metre cube\n", +"// The Fermi energy of silver = 5.51 eV " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 10.5: Electronic_contribution_to_the_molar_heat_capacity_of_silver.sci" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Scilab Code Ex10.5: Page-224 (2010)\n", +"N_A = 6.023e+023; // Avogadro's number\n", +"k = 1.38e-023; // Boltzmann constant, J/K\n", +"T = 293; // Temperature of sodium, K\n", +"E_F = 3.24; // Fermi energy of sodium, eV\n", +"e = 1.6e-019; // Energy equivalent of 1 eV, J/eV\n", +"C_v = %pi^2*N_A*k^2*T/(2*E_F*e); // Molar specific heat of sodium, J/mole/K\n", +"printf('\nThe molar specific heat of sodium = %4.2f J/mole/K', C_v);\n", +"\n", +"// Result\n", +"// The molar specific heat of sodium = 0.32 J/mole/K" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 10.6: Fermi_energy_and_mean_energy_of_aluminium.sci" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Scilab Code Ex10.6: Page-224 (2010)\n", +"e = 1.6e-019; // Energy equivalent of 1 eV, J/eV\n", +"h = 6.626e-034; // Planck's constant, Js\n", +"m = 9.1e-031; // Mass of the electron, kg\n", +"N_D = 18.1e+028; // Number density of conduction electrons in Al, per metre cube\n", +"E_F = h^2/(8*m)*(3/%pi*N_D)^(2/3); // Fermi energy of aluminium, J\n", +"Em_0 = 3/5*E_F; // Mean energy of the electron at 0K, J\n", +"printf('\nThe Fermi energy of aluminium = %5.2f eV', E_F/e);\n", +"printf('\nThe mean energy of the electron at 0K = %4.2f eV', Em_0/e);\n", +"\n", +"// Result\n", +"// The Fermi energy of aluminium = 11.70 eV\n", +"// The mean energy of the electron at 0K = 7.02 eV " + ] + } +], +"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 +} |