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+{
+ "metadata": {
+ "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 10 :Phase Transformation In Metals"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 10.1 Page no 318"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#(a)Computation of Critical Nuclear Radius\n",
+ "\n",
+ "#Given\n",
+ "Hf=-1.16*10**9 # in J/m**3 latent heat of fusion\n",
+ "Y=0.132 # in J/m**2 Surface energy\n",
+ "Tm=1064.0+273.0 # in K Melting point of gold\n",
+ "\n",
+ "#calculation\n",
+ "import math\n",
+ "T=Tm-230.0 # in K 230 is supercooling value\n",
+ "r=-2*Y*Tm/(Hf*(Tm-T))\n",
+ "G=16*math.pi*Y**3*Tm**2/(3*Hf**2*(Tm-T)**2)\n",
+ "\n",
+ "#part (b)\n",
+ "a=0.413*10**-9 # in m Unit Cell edge length\n",
+ "#unit cells per paticle\n",
+ "u_c=4*math.pi*r**3/(3*a**3)\n",
+ "n=4 #In FCC . no of atoms in per unit cell\n",
+ "U_c=int(u_c)*n\n",
+ "\n",
+ "#Result\n",
+ "print\"(a)Critical Radius is \",round(r/10**-9,2),\"nm\"\n",
+ "print\"Activation free energy is \",round(G,21),\"J\"\n",
+ "print\"(b)Total no. of atoms per critical nucleus are \",U_c\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)Critical Radius is 1.32 nm\n",
+ "Activation free energy is 9.68e-19 J\n",
+ "(b)Total no. of atoms per critical nucleus are 548\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 10.2 Page no 335"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Determination the rate of recrystallization\n",
+ "\n",
+ "#Given\n",
+ "n=5.0\n",
+ "y=0.3\n",
+ "t=100.0 #in min\n",
+ "\n",
+ "#Calculation\n",
+ "k=-math.log(1-y)/t**n\n",
+ "thalf=(-math.log(1-0.5)/k)**(1/n)\n",
+ "rate=1/thalf\n",
+ "\n",
+ "#Result\n",
+ "print\"Rate is \",rate,\"min**-1\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Rate is 0.00875567087531 min**-1\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file