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diff --git a/backup/Modern_Physics_version_backup/Chapter9.ipynb b/backup/Modern_Physics_version_backup/Chapter9.ipynb new file mode 100755 index 00000000..34acce85 --- /dev/null +++ b/backup/Modern_Physics_version_backup/Chapter9.ipynb @@ -0,0 +1,281 @@ +{ + "metadata": { + "name": "Chapter9" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 9:Molecular Structure" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.1 Page 270" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#initiation of variable\n", + "E=-2.7;\n", + "K=9.0*(10**9)*((1.6*(10**-19))**2)/(0.106*10**-9);# taking all the values in meters. 1/(4*pi*e0)= 9*10^9 F/m\n", + "\n", + "#calculation\n", + "q=((K-E*10**-9)/(4*K))*10**-9; #balancing by multiplying 10^-9 on numerator. to eV.vm terms\n", + "\n", + "#result\n", + "print\"Charge on the sphere required is\",round(q,4),\" times the charge of electron.\";" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Charge on the sphere required is 0.3105 times the charge of electron.\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.2 Page 273" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#initiation of variable\n", + "K=1.44; Req=0.236; # K=e^2/(4*pi*e0)=1.44 eV.nm\n", + "\n", + "#calculation\n", + "Uc=-K/(Req); #coulomb energy\n", + "\n", + "#result\n", + "print\"The coulomb energy at an equilibrium separation distance in eV is\",round(Uc,3);\n", + "\n", + "E=-4.26; delE=1.53; #various standards values of NaCl\n", + "Ur=E-Uc-delE; \n", + "\n", + "#result\n", + "print\"The pauli''s repulsion energy in eV is\",round(Ur,3);\n", + "\n", + "#partb\n", + "Req=0.1; #pauli repulsion energy\n", + "Uc=-K/(Req);\n", + "E=4; delE=1.53;\n", + "Ur=E-Uc-delE;\n", + "\n", + "#result\n", + "print\"The pauli''s repulsion energy in eV is\",round(Ur,3);\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The coulomb energy at an equilirium separation distance in eV is -6.102\n", + "The pauli''s repulsion energy in eV is 0.312\n", + "The pauli''s repulsion energy in eV is 16.87\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.3 Page 276" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#initiation of variable\n", + "from math import pi, sqrt\n", + "delE=0.50; delR=0.017*10**-9; #delE= E-Emin; delR=R-Rmin;\n", + "k=2*(delE)/(delR**2);c=3*10**8; #force constant\n", + "m=(1.008)*(931.5*10**6)*0.5; #mass of molecular hydrogen\n", + "v= sqrt(k*c**2/m)/(2*pi); #vibrational frequency\n", + "h=4.14*(10**-15);\n", + "\n", + "#calculation\n", + "E=h*v;\n", + "\n", + "#result\n", + "print\"The value of corresponding photon energy in eV is\",round(E,3);\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The value of corresponding photon energy in eV is 0.537\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.4 Page 280" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#initiation of variable\n", + "from math import pi, sqrt\n", + "hc=1240.0; #in eV.nm\n", + "m=0.5*1.008*931.5*10**6; #mass of hydrogen atom\n", + "Req=0.074; #equivalent radius\n", + "\n", + "#calculation\n", + "a=((hc)**2)/(4*(pi**2)*m*(Req**2)); #reduced mass of hydrogen atom\n", + "for L in range(1,4):\n", + " delE= L*a; \n", + " print\"The value of energy in eV is\",round(delE,4); \n", + " w=(hc)/delE;\n", + " print\"The respective wavelength in um is\",round(w*10**-3,3); \n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The value of energy in eV is 0.0151\n", + "The respective wavelength in um is 81.849\n", + "The value of energy in eV is 0.0303\n", + "The respective wavelength in um is 40.925\n", + "The value of energy in eV is 0.0454\n", + "The respective wavelength in um is 27.283\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.5 Page 283" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#initiation of variable\n", + "from math import pi\n", + "delv=6.2*(10**11); #change in frequency\n", + "h=1.05*(10**-34); #value of h in J.sec\n", + "\n", + "#calculation\n", + "I= h/(2*pi*delv); #rotational inertia\n", + "I1=I/(1.684604*10**-45); #to change units\n", + "\n", + "#result\n", + "print\"The value of rotational inertia in kg m2 is %.1e\" %I;\n", + "print\"which in terms of amu in u.nm2 is\",round(I1,3);" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The value of rotational inertia in kg m2 is 2.69536597172e-47\n", + "which in terms of amu in u.nm2 is 0.016\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.6 Page 286" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#initiation of variable\n", + "from math import pi\n", + "delE=0.358;hc=4.14*10**-15; #hc in eV.nm and delE=1.44eV(given values)\n", + "\n", + "#calculation\n", + "f=(delE)/hc; #frequency \n", + "\n", + "#result\n", + "print\"The frequency of the radiation is \",f;\n", + "\n", + "\n", + "m=0.98; #mass in terms of u\n", + "k=4*pi**2*m*f**2; #value of k in eV/m^2\n", + "\n", + "#result\n", + "print\"The force constant is\",k; \n", + "\n", + "#partb\n", + "hc=1240.0; m=0.98*1.008*931.5*10**6; Req=0.127; #various constants in terms of \n", + "s=((hc)**2)/(4*(pi**2)*m*(Req**2)); # expected spacing \n", + "\n", + "#result\n", + "print\"The spacing was found out to be\",round(s,3),\"which is very close to the graphical value of 0.0026 eV.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The frequency of the radiation is 8.64734299517e+13\n", + "The force constant is 2.89301831756e+29\n", + "The spacing was found out to be 0.003 which is very close to the graphical value of 0.0026 eV.\n" + ] + } + ], + "prompt_number": 19 + } + ], + "metadata": {} + } + ] +}
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