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-{
- "metadata": {
- "name": "",
- "signature": "sha256:a95b407b682939fdad30498a4e63981a88538f3262f7c6d2067bc16aa9ba5b35"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "8: Magnetic materials and Spectroscopy"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 8.1, Page number 153"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "mew=0.9*10**-23; #magnetic dipole moment(J/T)\n",
- "B=0.72; #magnetic field applied(T)\n",
- "k=1.38*10**-23; #boltzmann constant\n",
- "\n",
- "#Calculation \n",
- "T=(2*mew*B)/(3*k); #temperature(K)\n",
- "\n",
- "#Result\n",
- "print \"The temperature is\",round(T,2),\"K\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The temperature is 0.31 K\n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 8.2, Page number 153"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "#(C=mew0*M*T)/B.\n",
- "#Therefore M=(C*B)/(mew0*T)\n",
- "C=2*10**-3; #C is curies constant(K)\n",
- "B=0.4; #applied magnetic field(T)\n",
- "mew0=4*math.pi*10**-7;\n",
- "T=300; #temperature(K)\n",
- "\n",
- "#Calculation \n",
- "M=(C*B)/(mew0*T); #magnetisation(A/m)\n",
- "\n",
- "#Result\n",
- "print \"magnetisation is\",round(M,2),\"A/m\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "magnetisation is 2.12 A/m\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 8.3, Page number 153"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "e=1.6*10**-19;\n",
- "B=0.35; #magnetic field(T)\n",
- "lamda=500*10**-9; #wavelength(m)\n",
- "m=9.1*10**-31;\n",
- "c=3*10**8; #speed of light \n",
- "\n",
- "#Calculation \n",
- "deltalambda=(e*B*(lamda)**2)/(4*(math.pi)*m*c*10**-9); #Zeeman shift in wave length(nm)\n",
- "\n",
- "#Result\n",
- "print \"Zeeman shift in wave length is\",round(deltalambda,5),\"nm\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Zeeman shift in wave length is 0.00408 nm\n"
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 8.4, Page number 154"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "#T=(C*B)/(mew0*B)\n",
- "C=2.1*10**-3; #C is curie's constant(K)\n",
- "B=0.38; #magnetic field(T)\n",
- "mew0=4*math.pi*10**-7; #molecular magnetic moment\n",
- "M=2.15; #magnetisation(A/m)\n",
- "\n",
- "#Calculation \n",
- "T=(C*B)/(mew0*M); #temperature(K)\n",
- "\n",
- "#Result\n",
- "print \"Temperature is\",round(T,1),\"K\"\n",
- "print \"answer in the book varies due to rounding off errors\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Temperature is 295.4 K\n",
- "answer in the book varies due to rounding off errors\n"
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 8.5, Page number 154"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "#(M1*T1)=(M2*T2).Therefore M2=(M1*T1)/T2\n",
- "M1=2; #Initial magnetisation(A/m)\n",
- "T1=305; #Initial temperature(K)\n",
- "T2=321;\t\t #final temperature(K)\t\n",
- "\n",
- "#Calculation \n",
- "M2=(M1*T1)/T2; #magnetisation at 321K(A/m)\n",
- "\n",
- "#Result\n",
- "print \"Magnetisation at 321 K is\",round(M2,1),\"A/m\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Magnetisation at 321 K is 1.9 A/m\n"
- ]
- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 8.6, Page number 154"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "mew0=4*math.pi*10**-7; #molecular magnetic moment\n",
- "M=4; #magnetisation(A/m)\n",
- "T=310; #temperature(K)\n",
- "C=1.9*10**-3; #Curie's constant(K)\n",
- "\n",
- "#Calculation \n",
- "B=(mew0*M*T)/C; #magnetic field(T)\n",
- "\n",
- "#Result\n",
- "print \"Magnetic field is\",round(B,2),\"T\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Magnetic field is 0.82 T\n"
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 8.7, Page number 154"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "#e/m is gyromagnetic ratio.\n",
- "deltalambda=0.01*10**-9; #Zeeman shift(m)\n",
- "c=3*10**8; #speed of light in vacuum(m/s)\n",
- "lamda=600*10**-9; #wavelength(m)\n",
- "e=1.6*10**-19;\n",
- "m=9.1*10**-31;\n",
- "\n",
- "#Calculation \n",
- "B=(deltalambda*4*math.pi*m*c)/(e*(lamda)**2); #uniform magnetic field(T)\n",
- "\n",
- "#Result\n",
- "print \"Magnetic field is\",round(B,4),\"T\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Magnetic field is 0.5956 T\n"
- ]
- }
- ],
- "prompt_number": 16
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example number 8.8, Page number 154"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#importing modules\n",
- "import math\n",
- "from __future__ import division\n",
- "\n",
- "#Variable declaration\n",
- "deltalambda=0.01*10**-9; #Zeeman shift(m)\n",
- "c=3*10**8; #speed of light in vacuum(m/s)\n",
- "B=0.78; #magnetic field(T)\n",
- "lamda=550*10**-9; #wavelength(m)\n",
- "\n",
- "#Calculation \n",
- "Y=(deltalambda*4*math.pi*3*10**8)/(B*(lamda)**2); #e/m ratio(C/kg)\n",
- "\n",
- "#Result\n",
- "print \"e/m ratio is\",round(Y/10**11,1),\"*10**11 C/kg\"\n",
- "print \"answer in the book varies due to rounding off errors\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "e/m ratio is 1.6 *10**11 C/kg\n",
- "answer in the book varies due to rounding off errors\n"
- ]
- }
- ],
- "prompt_number": 21
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file
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