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diff --git a/Material_Science_In_Engineering/ch2.ipynb b/Material_Science_In_Engineering/ch2.ipynb new file mode 100755 index 00000000..3ee92690 --- /dev/null +++ b/Material_Science_In_Engineering/ch2.ipynb @@ -0,0 +1,316 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 2 : Review of Atomic concepts, Atomic Models, and Periodic Table" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.1 page no : 21" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "# Variables\n", + "a1 = 1.0078;\t\t\t#atomic weight of H-1\n", + "a2 = 2.0143;\t\t\t#atomic weight of H-2\n", + "p1 = 99.985;\t\t\t#% of H-1\n", + "p2 = .015; \t\t\t#% of H-2\n", + "\n", + "# Calculations\n", + "a = ((a1*p1)+(a2*p2))/100\n", + "\n", + "# Results\n", + "print \"Average atomic weight of Hydrogen = %.3f\"%a\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Average atomic weight of Hydrogen = 1.008\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.2 page no : 24" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "z = 79.; \t\t\t#atomic no. of gold\n", + "e = 7.68*1.6*10**-13;\t\t\t#ke in J\n", + "e_c = 1.6*10**-19;\t \t\t#charge of electron in C\n", + "e_0 = 8.854*10**-12;\t\t\t#permittivity F/m\n", + "\n", + "#Calculations\n", + "d = (2*e_c**2*z)/(4*3.14*e_0*e);\t\t\t#distance in m\n", + "\n", + "# Results\n", + "print \"distance (in m) = %.2e m\"%d\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "distance (in m) = 2.96e-14 m\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.3 pageno : 24" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\n", + "# Variables\n", + "n = 44.;\t\t\t#no. of particles scattered per minute\n", + "a = 90.;\t\t\t#angle in degrees\n", + "b = 75.;\t\t\t#angle in degrees\n", + "d = 135.;\t\t\t#angle in degrees\n", + "\n", + "# Calculations\n", + "x = math.sin(math.radians(a/2));\n", + "c = n*x**4;\n", + "y = math.sin(math.radians(b/2));\n", + "n1 = c/y**4;\n", + "z = math.sin(math.radians(d/2));\n", + "n2 = c/z**4;\n", + "\n", + "# Results\n", + "print \"Proportionality constant = \",c\n", + "print \"No. of particles scattered at 75 degree (in per minute) = %d\"%n1\n", + "print \"No. of particles scattered at 135 degree (in per minute) = %d\"%n2\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Proportionality constant = 11.0\n", + "No. of particles scattered at 75 degree (in per minute) = 80\n", + "No. of particles scattered at 135 degree (in per minute) = 15\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.4 pageno : 28" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\n", + "# Variables\n", + "n = 1. \t\t\t#first orbit\n", + "e_0 = 8.85*10**-12;\t\t\t#permittivity in freee space\n", + "h = 6.62*10**-34;\t\t\t#planck's consmath.tant\n", + "m = 9.1*10**-31;\t\t\t#mass of an electron in kg\n", + "e = 1.6*10**-19;\t\t\t#charge of an electron in C\n", + "z = 1.;\n", + "\n", + "# Calculations\n", + "r = n**2*e_0*h**2/(3.14*m*e**2*z);\t\t\t#radius of first orbit in m\n", + "r1 = r*10.**10;\t\t\t #radius in Angstorm\n", + "\n", + "# Results\n", + "print \"Radius of first orbit of electron in Hydrogen atom (in Angstorm) = %.2f A\"%r1\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Radius of first orbit of electron in Hydrogen atom (in Angstorm) = 0.53 A\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.5 pageno : 28" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\n", + "# Variables\n", + "e_0 = 8.85*10**-12;\t\t\t#permittivity in freee space in sqC/N/sqm\n", + "h = 6.62*10**-34;\t\t\t#planck's constant in Js\n", + "m = 9.1*10**-31;\t\t\t#mass of an electron in kg\n", + "e = 1.6*10**-19;\t\t\t#charge of an electron in C\n", + "z = 1.;\t \t\t#for hydrogen\n", + "n = 1.;\n", + "\n", + "# Calculations\n", + "e = m*z**2*e**4/(8*e_0**2*h**2*n**2);\t\t\t#ionisation energy in J\n", + "e1 = e/(1.602*10**-19);\t\t\t #in eV\n", + "\n", + "# Results\n", + "print \"Ionisation Energy (in J) = %.2e J\"%e\n", + "print \"Ionisation Energy (in eV) = %.1f V\"%e1\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Ionisation Energy (in J) = 2.17e-18 J\n", + "Ionisation Energy (in eV) = 13.6 V\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.6 page no : 32" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "n = 4.; \t\t\t#fourth orbit\n", + "\n", + "# Calculations\n", + "a = (0+1)/n;\t\t\t#for s suborbit\n", + "b = (1+1)/n;\t\t\t#for p suborbit\n", + "c = (2+1)/n;\t\t\t#for d suborbit\n", + "d = (3+1)/n;\t\t\t#for f suborbit\n", + "\n", + "# Results\n", + "print \"For s suborbit b/a = \",a,\"a\"\n", + "print \"For p suborbit b/a = \",b,\"a\"\n", + "print \"For d suborbit b/a = \",c,\"a\"\n", + "print \"For f suborbit b/a = \",d,\"a\"\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "For s suborbit b/a = 0.25 a\n", + "For p suborbit b/a = 0.5 a\n", + "For d suborbit b/a = 0.75 a\n", + "For f suborbit b/a = 1.0 a\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 2.7 pageno : 33" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "h = 6.62*10**-34;\t\t\t#planck's constant in Js\n", + "p = 10**-27;\t\t\t#uncertainity in momentum in kg m/s\n", + "\n", + "# Calculations\n", + "x = h/(2*3.14*p);\t\t\t#uncertainity in position in m\n", + "\n", + "# Results\n", + "print \"Minimum Uncertainity in Position (in m) = %.3e\"%x\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Minimum Uncertainity in Position (in m) = 1.054e-07\n" + ] + } + ], + "prompt_number": 10 + } + ], + "metadata": {} + } + ] +}
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