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{
"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": {}
}
]
}
|
