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authorTrupti Kini2017-01-25 23:30:36 +0600
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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# 1: Bonding in Solids"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 1, Page number 1.21"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "-2*a/r**3 + 90*b/r**11\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "from sympy import diff\n",
+ "import numpy as np\n",
+ "\n",
+ "#Variable declaration\n",
+ "n=1;\n",
+ "m=9;\n",
+ "a=Symbol('a')\n",
+ "b=Symbol('b')\n",
+ "r=Symbol('r')\n",
+ "\n",
+ "#Calculation\n",
+ "y=(-a/(r**n))+(b/(r**m));\n",
+ "y=diff(y,r);\n",
+ "y=diff(y,r);\n",
+ "\n",
+ "#Result\n",
+ "print y"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "young's modulus is 157 GPa\n"
+ ]
+ }
+ ],
+ "source": [
+ "#since the values of a,b,r are declared as symbols in the above cell, it cannot be solved there. hence it is being solved here with the given variable declaration\n",
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=7.68*10**-29; \n",
+ "r0=2.5*10**-10; #radius(m)\n",
+ "\n",
+ "#Calculation\n",
+ "b=a*(r0**8)/9;\n",
+ "y=((-2*a*r0**8)+(90*b))/r0**11; \n",
+ "E=y/r0; #young's modulus(Pa)\n",
+ "\n",
+ "#Result\n",
+ "print \"young's modulus is\",int(E/10**9),\"GPa\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 2, Page number 1.22"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "effective charge is 0.72 *10**-19 coulomb\n",
+ "answer given in the book is wrong\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "dm=1.98*10**-29/3; #dipole moment\n",
+ "l=0.92*10**-10; #bond length(m)\n",
+ "\n",
+ "#Calculation\n",
+ "ec=dm/l; #effective charge(coulomb)\n",
+ "\n",
+ "#Result\n",
+ "print \"effective charge is\",round(ec*10**19,2),\"*10**-19 coulomb\"\n",
+ "print \"answer given in the book is wrong\""
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}