{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Chapter 7: SUPERCONDUCTIVITY" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 7.2: Frequency_of_Josephson_current.sci" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "// Scilab Code Ex7.2 : Frequency of Josephson current : Page-152 (2010)\n", "V = 1e-06; // DC voltage applied across the Josephson junction, volt\n", "e = 1.6e-019; // Charge on an electron, C\n", "h = 6.626e-034; // Planck's constant, Js\n", "f = 2*e*V/h; // Frequency of Josephson current, Hz\n", "printf('\nThe frequency of Josephson current = %5.1f MHz', f/1e+06);\n", "\n", "// Result \n", "// The frequency of Josephson current = 482.9 MHz " ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 7.3: Superconducting_energy_gap_at_0K.sci" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "// Scilab Code Ex7.3 : Superconducting energy gap at 0K : Page-152 (2010)\n", "T_c = 0.517; // Critical temperature for cadmium, K\n", "k = 1.38e-023; // Boltzmann constant, J/K\n", "e = 1.6e-019; // Energy equivalent of 1 eV, J/eV\n", "E_g = 3.5*k*T_c/e; // Superconducting energy gap at absolute zero, eV\n", "printf('\nThe superconducting energy gap for Cd at absolute zero = %4.2e eV',E_g);\n", "\n", "// Result \n", "// The superconducting energy gap for Cd at absolute zero = 1.56e-004 eV" ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 7.4: Wavelength_of_photon_to_break_up_a_Cooper_pair.sci" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "// Scilab Code Ex7.4 : Wavelength of photon to break up a Cooper-pair: Page-152 (2010)\n", "e = 1.6e-019; // Energy equivalent of 1 eV, J/eV\n", "c = 3e+08; // Speed of light in free space, m/s\n", "h = 6.626e-034; // Planck's constant, Js\n", "E_g = 1.5e-004; // Superconducting energy gap for a material, eV\n", "// As E_g = h*f = h*c/lambda, solving for lambda\n", "lambda = h*c/(E_g*e); // Wavelength of photon to break up a Cooper-pair, m\n", "printf('\nThe wavelength of photon to break up a Cooper-pair = %4.2e m', lambda);\n", "\n", "// Result \n", "// The wavelength of photon to break up a Cooper-pair = 8.28e-003 m " ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 7.5: Variation_of_London_penetration_depth_with_temperature.sci" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "// Scilab Code Ex7.5: Variation of London penetration depth with temperature: Page-153 (2010)\n", "lambda_0 = 37e-009; // Penetration depth of lead at 0 kelvin, m\n", "T_c = 7.193; // Critical temperature of superconducting transition for lead, kelvin\n", "T = 5.2; // Temperature at which penetration depth for lead becomes lambda_T, kelvin \n", "lambda_T = lambda_0*(1-(T/T_c)^4)^(-1/2); // Penetration depth of lead at 5.2 kelvin, m\n", "printf('\nThe penetration depth of lead at %3.1f K = %4.1f nm',T, lambda_T/1e-009);\n", "\n", "// Result\n", "// The penetration depth of lead at 5.2 K = 43.4 nm " ] } , { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 7.6: Isotope_Effect_in_mercury.sci" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "// Scilab Code Ex7.6: Isotope Effect in mercury: Page-153 (2010)\n", "M1 = 199; // Mass of an isotope of mercury, amu\n", "T_C1 = 4.185; // Transition temperature of the isoptope of Hg, K\n", "T_C2 = 4.153; // Transition temperature of another isoptope of Hg, K\n", "alpha = 0.5; // Isotope coefficient\n", "M2 = M1*(T_C1/T_C2)^(1/alpha); // Mass of another isotope of mercury, amu\n", "printf('\nThe mass of another isotope of mercury at %5.3f K = %6.2f amu',T_C2, M2);\n", "\n", "// Result\n", "// The mass of another isotope of mercury at 4.153 K = 202.08 amu " ] } ], "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 }