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+{
+ "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": [
+ "#Example 1.1\n",
+ "#Find the miller indices for a plane.\n",
+ "\n",
+ "#Given\n",
+ "#Length of intercept\n",
+ "l1=2.0\n",
+ "l2=3.0\n",
+ "l3=2.0\n",
+ "\n",
+ "#Calcuation\n",
+ "#reciprocal of intercept\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",
+ "#Result\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": [
+ "#Example 1.2\n",
+ "#Find the miller indices for a plane.\n",
+ "\n",
+ "#Given\n",
+ "#Length of intercept\n",
+ "l1=1.0\n",
+ "l2=2.0\n",
+ "l3=0\n",
+ "\n",
+ "#Calcuation\n",
+ "#reciprocal of intercept\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",
+ "#Result\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": [
+ "#Example 1.3\n",
+ "#Obtain lattice constant and radius of the atom.\n",
+ "\n",
+ "#Given\n",
+ "V=3*(10**22) #kg/m**3, density of SCC lattice\n",
+ "p=(1/3.0)*10**-22\n",
+ "\n",
+ "#Calculation\n",
+ "n=1 #no. of lattice point \n",
+ "a=(n*p)**(1/3.0) #lattice constant\n",
+ "r=(a*10**8/2)\n",
+ "\n",
+ "#Result\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": [
+ "#Exampe 1.4\n",
+ "#Determine the density of crystal\n",
+ "\n",
+ "#given data\n",
+ "import math\n",
+ "r=1.278 #in Angstrum\n",
+ "AtomicWeight=63.5 #constant\n",
+ "AvogadroNo=6.023*10**23 #constant\n",
+ "\n",
+ "#Calculation\n",
+ "#For FCC structure a=4*r/math.sqrt(2)\n",
+ "a=4*r*10**-10/math.sqrt(2) #in meter\n",
+ "V=a**3 #in meter**3\n",
+ "#mass of one atom = m\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",
+ "#Result\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": [
+ "#Example 1.5\n",
+ "#What is Density of silicon crystal .\n",
+ "\n",
+ "#given data\n",
+ "n=4 # no. of atoms per unit cell of silicon\n",
+ "AtomicWeight=28 #constant\n",
+ "AvogadroNo=6.021*10**23 #constant\n",
+ "\n",
+ "#calculation\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",
+ "#result\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": [
+ "#Example 1.5\n",
+ "#What is Surface density in FCC .\n",
+ "\n",
+ "#given data\n",
+ "a=4.75 #lattice constant in Angstrum\n",
+ "a=a*10**-10 #in meter\n",
+ "\n",
+ "#Calculation\n",
+ "dp=2.31/a**2 #in atom/m**2\n",
+ "dp=dp/10**6 #in atom/mm**2\n",
+ "\n",
+ "#Result\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": [
+ "#Example 1.7\n",
+ "#find the Interpolar distance\n",
+ "\n",
+ "#given data\n",
+ "import math\n",
+ "l=1.539 #in Angstrum\n",
+ "theta=22.5 #in degree\n",
+ "n=1 #order unitless\n",
+ "\n",
+ "#Calculation\n",
+ "d=n*l/(2*math.sin(theta*math.pi/180)) #in Angstrum\n",
+ "\n",
+ "#result\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": [
+ "#Example 1.8\n",
+ "#Find the wavelength of X-rays \n",
+ "\n",
+ "#given data\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",
+ "#Calculation\n",
+ "l=(2*d*10**-9*sin(theta*math.pi/180.0))/n #in Angstrum\n",
+ "\n",
+ "#result\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": {}
+ }
+ ]
+} \ No newline at end of file
generated by cgit (git 2.34.1) at 2024-12-20 08:49:32 +0000