{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 1:Semiconductor Marerials and Crystal Properties"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.1 Page No.23"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"l1=2.0\n",
"l2=3.0\n",
"l3=2.0\n",
"\n",
"r1=1/l1\n",
"r2=1/l2\n",
"r3=1/l3\n",
"m1=6*r1\n",
"m2=6*r2\n",
"m3=6*r3\n",
"\n",
"print\"Miller indices of the given plane are\",m1,m2,m3\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Miller indices of the given plane are 3.0 2.0 3.0\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.2 Page No.24"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"l1=1.0\n",
"l2=2.0\n",
"l3=0\n",
"\n",
"r1=1/l1\n",
"r2=1/l2\n",
"r3=0\n",
"m1=2*r1\n",
"m2=2*r2\n",
"m3=2*r3\n",
"\n",
"print\"Miller indices of the given plane are\",m1,m2,m3\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Miller indices of the given plane are 2.0 1.0 0\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.3 Page No.24"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"V=3*(10**22) #kg/m**3, density of SCC lattice\n",
"p=(1/3.0)*10**-22\n",
"\n",
"n=1 #no. of lattice point \n",
"a=(n*p)**(1/3.0) #lattice constant\n",
"r=(a*10**8/2)\n",
"\n",
"print\"Lattice constant is\",round(a*10**8,2),\"A\"\n",
"print\"radius of simple lattice is\",round(r,2),\"A\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Lattice constant is 3.22 A\n",
"radius of simple lattice is 1.61 A\n"
]
}
],
"prompt_number": 17
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.4 Page no.25"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"import math\n",
"r=1.278 #in Angstrum\n",
"AtomicWeight=63.5 #constant\n",
"AvogadroNo=6.023*10**23 #constant\n",
"\n",
"a=4*r*10**-10/math.sqrt(2) #in meter\n",
"V=a**3 #in meter**3\n",
"m=AtomicWeight/AvogadroNo #in gm\n",
"m=m/1000 #in Kg\n",
"n=4 # no. of atoms per unit cell for FCC structure\n",
"rho=m*n/V #in Kg/m**3\n",
"\n",
"print \"Density of crystal is\",round(rho,2),\"Kg/m**3\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Density of crystal is 8928.8 Kg/m**3\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.5 Page no.26"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"n=4 # no. of atoms per unit cell of silicon\n",
"AtomicWeight=28 #constant\n",
"AvogadroNo=6.021*10**23 #constant\n",
"\n",
"m=AtomicWeight/AvogadroNo #in gm\n",
"m=m/1000 #in Kg\n",
"a=5.3 #lattice constant in Angstrum\n",
"a=a*10**-10 #in meter\n",
"V=a**3 #in meter**3\n",
"rho=m*n/V #in Kg/m**3\n",
"\n",
"print\"Density of silicon crystal is\",round(rho,0),\"Kg/m**3\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Density of silicon crystal is 1249.0 Kg/m**3\n"
]
}
],
"prompt_number": 19
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.6 Page no.26"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"a=4.75 #lattice constant in Angstrum\n",
"a=a*10**-10 #in meter\n",
"\n",
"dp=2.31/a**2 #in atom/m**2\n",
"dp=dp/10**6 #in atom/mm**2\n",
"\n",
"print \"Surface density in FCC on (111)Plane is %.e\",dp,\"atoms/mm**2\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Surface density in FCC on (111)Plane is %.e 1.02382271468e+13 atoms/mm**2\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.7 Page no. 28"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"import math\n",
"l=1.539 #in Angstrum\n",
"theta=22.5 #in degree\n",
"n=1 #order unitless\n",
"\n",
"d=n*l/(2*math.sin(theta*math.pi/180)) #in Angstrum\n",
"\n",
"print \"Interpolar distance in Angstrum \",round(d,2),\"A\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Interpolar distance in Angstrum 2.01 A\n"
]
}
],
"prompt_number": 28
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 1.8 Page no. 28"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"import math\n",
"\n",
"theta=16.8/2.0 #in degree\n",
"n=2.0 #order unitless\n",
"d=0.4 #in nm\n",
"\n",
"l=(2*d*10**-9*sin(theta*math.pi/180.0))/n #in Angstrum\n",
"\n",
"print \"wavelength of X-rays in Angstrum \",round(l*10**10,3),\"A\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"wavelength of X-rays in Angstrum 0.584 A\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}