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diff --git a/Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter2.ipynb b/Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter2.ipynb new file mode 100644 index 00000000..3996a39d --- /dev/null +++ b/Unified_Physics_by_S.L._Gupta,_Sanjeev_Gupta/Chapter2.ipynb @@ -0,0 +1,247 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 2: Molecular Spectroscopy" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example number 1, Page number 56" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "energy is 4.75 *10**-4 eV\n", + "angular velocity is 10.21 *10**11 rad/sec\n", + "answer in the book varies due to rounding off errors\n" + ] + } + ], + "source": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration \n", + "h=6.62*10**-34; #planck's constant\n", + "I=1.46*10**-46; #moment of inertia(kg-m**2)\n", + "e=1.6*10**-19; #charge(coulomb)\n", + "\n", + "#Calculations\n", + "Er=2*(h**2)/(8*math.pi**2*I*e); #energy(eV)\n", + "omega=math.sqrt(2*Er*e/I); #angular velocity(rad/sec)\n", + "\n", + "#Result\n", + "print \"energy is\",round(Er*10**4,2),\"*10**-4 eV\"\n", + "print \"angular velocity is\",round(omega*10**-11,2),\"*10**11 rad/sec\"\n", + "print \"answer in the book varies due to rounding off errors\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example number 2, Page number 62" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "frequency of vibration is 2.04 *10**13 Hertz\n", + "spacing between energy levels is 8.44 *10**-2 eV\n" + ] + } + ], + "source": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration \n", + "h=6.63*10**-34; #planck's constant\n", + "K=187; #force constant(N/m)\n", + "mew=1.14*10**-26; #reduced mass(kg)\n", + "c=6.242*10**18; #conversion factor\n", + "\n", + "#Calculations\n", + "vnew=math.sqrt(K/mew)/(2*math.pi); #frequency of vibration(Hertz)\n", + "delta_E=h*vnew; #spacing between energy levels(J)\n", + "delta_E=delta_E*c; #spacing between energy levels(eV)\n", + "\n", + "#Result\n", + "print \"frequency of vibration is\",round(vnew/10**13,2),\"*10**13 Hertz\"\n", + "print \"spacing between energy levels is\",round(delta_E*10**2,2),\"*10**-2 eV\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example number 3, Page number 68" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "wavelength of antistokes line 5401 angstrom\n" + ] + } + ], + "source": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration \n", + "lamda0=5460*10**-8; #wavelength(cm)\n", + "lamdas=5520*10**-8; #wavelength(cm)\n", + "\n", + "#Calculations\n", + "new0=1/lamda0; #frequency(cm-1)\n", + "news=1/lamdas; #frequency(cm-1)\n", + "delta_new=new0-news; #difference in frequency(cm-1)\n", + "new_as=delta_new+new0; #frequency of anti-stokes line(cm-1)\n", + "lamda_as=1*10**8/new_as; #wavelength of antistokes line(angstrom)\n", + "\n", + "#Result\n", + "print \"wavelength of antistokes line\",int(lamda_as),\"angstrom\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example number 4, Page number 68" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "raman shift is 459.2 *10**2 m-1\n", + "wavelength of antistokes line 4272.5 angstrom\n" + ] + } + ], + "source": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration \n", + "lamda0=4358*10**-10; #wavelength(m)\n", + "lamda1=4447*10**-10; #wavelength(m)\n", + "\n", + "#Calculations\n", + "new0=1/lamda0; #frequency(m-1)\n", + "new1=1/lamda1; #frequency(m-1)\n", + "rs=new0-new1; #raman shift(m-1)\n", + "new_as=new0+rs; #frequency of anti-stokes line(cm-1)\n", + "lamda_as=1*10**10/new_as; #wavelength of antistokes line(angstrom)\n", + "\n", + "#Result\n", + "print \"raman shift is\",round(rs/10**2,1),\"*10**2 m-1\"\n", + "print \"wavelength of antistokes line\",round(lamda_as,1),\"angstrom\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example number 5, Page number 71" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ratio of wave numbers is 1 : 0.52 : 0.31\n" + ] + } + ], + "source": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration \n", + "K1=4141.3; #wave number of HF(cm-1)\n", + "K2=2988.9; #wave number of HCl(cm-1)\n", + "K3=2309.5; #wave number of HI(cm-1)\n", + "c=1; #assume as common factor in ratio\n", + "\n", + "#Calculations\n", + "a=(K2/K1)**2; #ratio of wave numbers of HF and HCl\n", + "b=(K3/K1)**2; #ratio of wave numbers of HF and HI\n", + "\n", + "#Result\n", + "print \"ratio of wave numbers is\",c,\":\",round(a,2),\":\",round(b,2)" + ] + } + ], + "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": "2.7.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |