{ "metadata": { "name": "CH12" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 12: Structure and Properties of Ceramics" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 12.1 Page no 418" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "a=30\n", "\n", "import math\n", "ratio=(1-math.cos(a*math.pi/180.0))/math.cos(a*math.pi/180.0)\n", "\n", "print\"Cation to anion raio is \",round(ratio,3)\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Cation to anion raio is 0.155\n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 12.2 Page no 423" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "r_Fe=0.077 # in nm Radius of iron cation Fe++\n", "r_O=0.140 #in nm Radius of Oxygen anion O--\n", "\n", "ratio=r_Fe/r_O\n", "\n", "print\"Ratio is \",ratio\n", "if 0.414<ratio<0.732: \n", " print\"Co-ordinaton no. is 6\"\n", " print\"Structure is Rock Salt type\"\n", "else:\n", " print \"Coordination no is not 6\"\n", " \n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Ratio is 0.55\n", "Co-ordinaton no. is 6\n", "Structure is Rock Salt type\n" ] } ], "prompt_number": 16 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 12.3 Page no 424" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "A_Na=22.99 # in g/mol\n", "A_Cl=35.45 #in g/mol\n", "r_Na=0.102*10**-7 #in cm Radius of Na+ ion\n", "r_Cl=0.181*10**-7 #in cm Radius of Cl- ion\n", "Na=6.023*10**23 #Avogadro number\n", "\n", "a=2*(r_Na+r_Cl)\n", "V=a**3\n", "n=4 #For FCC, no. of atoms are 4 per crystal\n", "density=n*(A_Na+A_Cl)/(V*Na)\n", "\n", "print\"Density is \",round(density,2),\"gm/cm**3\"\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Density is 2.14 gm/cm**3\n" ] } ], "prompt_number": 18 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 12.4 Page no 436" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "Na=6.023*10**23 #Avogadro number\n", "density=1.955 #in g/cm**3\n", "A_K=39.1 #in g/mol\n", "A_Cl=35.45 #in g/mol\n", "\n", "import math\n", "N=Na*density*10**6/(A_K+A_Cl)\n", "Qs=2.6 # in eV\n", "k=8.62*10**-5 # in eV/K Boltzmann Constant\n", "T=500.0+273.0 # in K\n", "Ns=N*math.exp(-Qs/(2*k*T))\n", "\n", "print\"No. of Schottky Defects are \",round(Ns,-17),\"/m**3\"\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "No. of Schottky Defects are 5.31e+19 /m**3\n" ] } ], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }