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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 22: superconductivity"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 22.1: critical_field_and_transition_temperature.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 22.1 // critical field & transition temperature\n",
+"clc;\n",
+"clear;\n",
+"//given data :\n",
+"T=4.2;//to calculate critical field at T (kelvin)\n",
+"Hc1=1.4D5;// critical magnetic field in amp/m\n",
+"Hc2=4.2D5;//critical magnetic field in amp/m\n",
+"T1=14;//temperature in kelvin\n",
+"T2=13;//temperature ]in kevin \n",
+"Tc=sqrt(.5*((T2^2-T1^2)*(Hc1+Hc2)/(Hc1-Hc2)+T1^2+T2^2));// transition temperature\n",
+"H=Hc1/(1-(T1/Tc)^2);//field at 0 degree\n",
+"Hc=H*(1-(T/Tc)^2)\n",
+"disp(Tc,'transition temperature in kelvin')\n",
+"disp(Hc,'Critical field at T in amp/m')\n",
+"\n",
+"//little error due to approximations in book"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 22.2: critical_temperature.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 22.2 // critical temperature\n",
+"clc;\n",
+"clear;\n",
+"//given data :\n",
+"Tc1=4.185;//critical temperature in kelvin\n",
+"M=199.5;// isotropic mass \n",
+"M1=203.4;//isotropic mass\n",
+"Tc2=Tc1*(M/M1)^.5;// formula\n",
+"disp(Tc2,'critical temperature in kelvin') "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 22.3: critical_current_density.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 22.3 // critical current density\n",
+"clc;\n",
+"clear;\n",
+"//given data :\n",
+"d=1D-3;//diameter of wire in m\n",
+"Ho=6.5D4;//critical field at temperature at 0k\n",
+"Tc=7.18;// critical temperature in kelvin\n",
+"T=4.2;//temperature in kelvin\n",
+"Hc=Ho*(1-(T/Tc)^2);//critical field at T kelvin\n",
+"Jc=4*Hc/d;//formula\n",
+"disp(Jc,'critical current density in A/m2')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 22.4: penetration_depth.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//Example 22.4 // penetration depth\n",
+"clc;\n",
+"clear;\n",
+"//given data :\n",
+"w=750;// penetration depth in A\n",
+"T=3.5;// temperature in kelvin\n",
+"Tc=4.12;// critical temperature in kelvin\n",
+"d=13.55D3;//density of mercury\n",
+"N=6.023D23;// avogadro number\n",
+"M=200D-3;//molecular weight in kg \n",
+"wo=w*(1-(T/Tc)^4)^.5;//formula\n",
+"disp(wo,'penetration depth in A(angstrom)')\n",
+"//n0=d*N/M;//normal electron density at 0 degre\n",
+"//n=n0*(1-(T/Tc)^4);//electron density at T\n",
+"//disp(n)\n",
+"\n",
+"//according to question the answer is upto Wo only.\n",
+"\n",
+"\n",
+""
+ ]
+ }
+],
+"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
+}