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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#2: Crystal Structures"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 2.1, Page number 2.16"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"free volume/unit cell is 0.007675 nm**3\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"r=0.1249; #atomic radius(nm)\n",
"n=2; #number of atoms\n",
"\n",
"#Calculation\n",
"a=4*r/math.sqrt(3); #edge length(m)\n",
"V=a**3; #volume(nm**3)\n",
"v=4*math.pi*r**3*n/3; #volume of atoms(nm**3)\n",
"Fv=V-v; #free volume/unit cell(nm**3)\n",
"\n",
"#Result\n",
"print \"free volume/unit cell is\",round(Fv,6),\"nm**3\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 2.2, Page number 2.16"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"lattice constant is 3.517 angstrom\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"n=2; #number of atoms\n",
"M=6.94; #atomic weight(kg)\n",
"rho=530; #density(kg/m**3)\n",
"Na=6.02*10**26; #avagadro number\n",
"\n",
"#Calculation\n",
"a3=n*M/(rho*Na);\n",
"a=a3**(1/3); #lattice constant(m)\n",
"\n",
"#Result\n",
"print \"lattice constant is\",round(a*10**10,3),\"angstrom\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 2.3, Page number 2.17"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"lattice constant is 2.87 angstrom\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"n=2; #number of atoms\n",
"M=55.85; #atomic weight(kg)\n",
"rho=7860; #density(kg/m**3)\n",
"Na=6.02*10**26; #avagadro number\n",
"\n",
"#Calculation\n",
"a3=n*M/(rho*Na);\n",
"a=a3**(1/3); #lattice constant(m)\n",
"\n",
"#Result\n",
"print \"lattice constant is\",round(a*10**10,2),\"angstrom\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 2.4, Page number 2.17"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"#number of atoms per m**3 is 177.3 *10**27\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"a=0.356*10**-9; #lattice constant(m)\n",
"n=8; #number of atoms\n",
"\n",
"#Calculation\n",
"N=n/a**3; #number of atoms per m**3\n",
"\n",
"#Result\n",
"print \"#number of atoms per m**3 is\",round(N/10**27,1),\"*10**27\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 2.5, Page number 2.17"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"number of atoms per sq. mm is 8.16 *10**12\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"a=3.5; #lattice constant(angstrom)\n",
"\n",
"#Calculation\n",
"A=a**2;\n",
"N=10**7*10**7/A; #number of atoms per sq. mm\n",
"\n",
"#Result\n",
"print \"number of atoms per sq. mm is\",round(N/10**12,2),\"*10**12\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 2.6, Page number 2.18"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"density is 5434.5 kg/m**3\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"n=8; #number of atoms\n",
"a=5.62*10**-10; #lattice constant(m)\n",
"M=72.59; #atomic weight(kg)\n",
"Na=6.02*10**26; #avagadro number\n",
"\n",
"#Calculation\n",
"rho=n*M/(a**3*Na); #density(kg/m**3)\n",
"\n",
"#Result\n",
"print \"density is\",round(rho,1),\"kg/m**3\""
]
}
],
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"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
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},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
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},
"nbformat": 4,
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|
