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{
"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
}
|
