{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#1: Bonding in Solids" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example number 1.1, Page number 1.4" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "net change in energy per mole is -296 kJ/mol\n", "answer varies due to rounding off errors\n", "since the net change in energy is negative, the A+B- molecule will be stable\n" ] } ], "source": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "e=1.602*10**-19; #charge of electron(c)\n", "epsilon0=8.85*10**-12; #permittivity(C/Nm)\n", "r=3*10**-10; #seperation(m)\n", "N=6.022*10**20;\n", "Ea=502; #ionisation energy of A(kJ/mol)\n", "Eb=-335; #electron affinity for B(kJ/mol)\n", "\n", "#Calculation\n", "E=-e**2*N/(4*math.pi*epsilon0*r); #electrostatic attraction(kJ/mol)\n", "nE=Ea+Eb+E; #net change in energy per mole(kJ/mol)\n", "\n", "#Result\n", "print \"net change in energy per mole is\",int(nE),\"kJ/mol\"\n", "print \"answer varies due to rounding off errors\"\n", "print \"since the net change in energy is negative, the A+B- molecule will be stable\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example number 1.2, Page number 1.4" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "energy required is 0.5 eV\n", "seperation is 2.88 nm\n" ] } ], "source": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "IPk=4.1; #IP of K(eV)\n", "EACl=3.6; #EA of Cl(eV)\n", "e=1.602*10**-19; #charge of electron(c)\n", "onebyepsilon0=9*10**9;\n", "\n", "#Calculation\n", "deltaE=IPk-EACl;\n", "Ec=deltaE; #energy required(eV)\n", "R=e*onebyepsilon0/deltaE; #seperation(m)\n", "\n", "#Result\n", "print \"energy required is\",Ec,\"eV\"\n", "print \"seperation is\",round(R*10**9,2),\"nm\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example number 1.3, Page number 1.5" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "bond energy is 4.61 eV\n" ] } ], "source": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "e=1.602*10**-19; #charge of electron(c)\n", "epsilon0=8.85*10**-12; #permittivity(C/Nm)\n", "r0=236*10**-12; #seperation(m)\n", "N=6.022*10**20;\n", "IP=5.14; #ionisation energy of A(kJ/mol)\n", "EA=3.65; #electron affinity for B(kJ/mol)\n", "\n", "#Calculation\n", "Ue=-e**2/(4*math.pi*epsilon0*r0*e); #potential energy(eV)\n", "BE=-Ue-IP+EA; #bond energy(eV)\n", "\n", "#Result\n", "print \"bond energy is\",round(BE,2),\"eV\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example number 1.4, Page number 1.18" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cohesive energy is 7.965 eV\n" ] } ], "source": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "A=1.748; #madelung constant\n", "n=9; #born repulsive exponent\n", "e=1.602*10**-19; #charge of electron(c)\n", "epsilon0=8.85*10**-12; #permittivity(C/Nm)\n", "r0=0.281*10**-9; #seperation(m)\n", "IE=5.14; #ionisation energy of A(kJ/mol)\n", "EA=3.61; #electron affinity for B(kJ/mol)\n", "\n", "#Calculation\n", "CE=A*e**2*(1-(1/n))/(4*math.pi*epsilon0*r0*e); #cohesive energy(eV)\n", "\n", "#Result\n", "print \"cohesive energy is\",round(CE,3),\"eV\"" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }