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-{

- "metadata": {

-  "name": "",

-  "signature": "sha256:1e02050388cdd15ca19e058c38c307c0fd0b145ef71769674c045940ea70b08b"

- },

- "nbformat": 3,

- "nbformat_minor": 0,

- "worksheets": [

-  {

-   "cells": [

-    {

-     "cell_type": "heading",

-     "level": 1,

-     "metadata": {},

-     "source": [

-      "7: Atomic physics"

-     ]

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example number 7.1, Page number 113"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "#importing modules\n",

-      "import math\n",

-      "from __future__ import division\n",

-      "\n",

-      "#Variable declaration\n",

-      "mewB=9.27*10**-24;\n",

-      "B=3;   #magnetic field(T)\n",

-      "e=1.6*10**-19;   #conversion factor from J to eV\n",

-      "\n",

-      "#Calculation\n",

-      "E=2*mewB*B/e;    #energy difference(eV)\n",

-      "\n",

-      "#Result\n",

-      "print \"energy difference is\",round(E*10**4,2),\"*10**-4 eV\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "energy difference is 3.48 *10**-4 eV\n"

-       ]

-      }

-     ],

-     "prompt_number": 2

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example number 7.3, Page number 118"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "#importing modules\n",

-      "import math\n",

-      "from __future__ import division\n",

-      "\n",

-      "#Variable declaration\n",

-      "l=2;\n",

-      "s=1/2;\n",

-      "j1=2+(1/2);\n",

-      "j2=2-(1/2);\n",

-      "\n",

-      "#Calculation\n",

-      "L=math.sqrt(l*(l+1));   #value of L(hbar)\n",

-      "S=math.sqrt(s*(s+1));   #value of S(hbar)\n",

-      "J1=math.sqrt(j1*(j1+1));   #value of J for D5/2 state(hbar)\n",

-      "J2=math.sqrt(j2*(j2+1));   #value of J for D3/2 state(hbar)\n",

-      "costheta1=((j1*(j1+1))-(l*(l+1))-(s*(s+1)))/(2*L*S);\n",

-      "theta1=math.acos(costheta1);    #angle between L and S for D5/2(radian)\n",

-      "theta1=theta1*180/math.pi;    #angle between L and S for D5/2(degrees)\n",

-      "costheta2=((j2*(j2+1))-(l*(l+1))-(s*(s+1)))/(2*L*S);\n",

-      "theta2=math.acos(costheta2);    #angle between L and S for D3/2(radian)\n",

-      "theta2=theta2*180/math.pi;    #angle between L and S for D3/2(degrees)\n",

-      "\n",

-      "#Result\n",

-      "print \"value of L is\",round(L,3),\"hbar\"\n",

-      "print \"value of S is\",round(S,3),\"hbar\"\n",

-      "print \"value of J for D5/2 state is\",round(J1,3),\"hbar\"\n",

-      "print \"value of J for D3/2 state is\",round(J2,3),\"hbar\"\n",

-      "print \"angle between L and S for D5/2 is\",round(theta1,2),\"degrees\"\n",

-      "print \"angle between L and S for D3/2 is\",int(theta2),\"degrees\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "value of L is 2.449 hbar\n",

-        "value of S is 0.866 hbar\n",

-        "value of J for D5/2 state is 2.958 hbar\n",

-        "value of J for D3/2 state is 1.936 hbar\n",

-        "angle between L and S for D5/2 is 61.87 degrees\n",

-        "angle between L and S for D3/2 is 135 degrees\n"

-       ]

-      }

-     ],

-     "prompt_number": 4

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example number 7.10, Page number 136"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "#importing modules\n",

-      "import math\n",

-      "from __future__ import division\n",

-      "\n",

-      "#Variable declaration\n",

-      "S=1;\n",

-      "L=1;  \n",

-      "J=1;\n",

-      "\n",

-      "#Calculation\n",

-      "a=L*(L+1)-(L*(L+1));\n",

-      "g1=1+(a/(2*L*(L+1)));    #lande's g-factor for pure orbital angular momentum\n",

-      "b=(S*(S+1)+(S*(S+1)))/(2*S*(S+1));   #lande's g-factor for pure spin angular momentum\n",

-      "g2=1+b;      #lande's g-factor for pure spin angular momentum\n",

-      "c=J*(J+1)+(S*(S+1))-(L*(L+1));\n",

-      "g3=1+(c/(2*J*(J+1)));   #lande's g-factor for state 3P1\n",

-      "\n",

-      "#Result\n",

-      "print \"lande's g-factor for pure orbital angular momentum is\",g1\n",

-      "print \"ande's g-factor for pure spin angular momentum is\",g2\n",

-      "print \"lande's g-factor for state 3P1 is\",g3"

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "lande's g-factor for pure orbital angular momentum is 1.0\n",

-        "ande's g-factor for pure spin angular momentum is 2.0\n",

-        "lande's g-factor for state 3P1 is 1.5\n"

-       ]

-      }

-     ],

-     "prompt_number": 6

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example number 7.12, Page number 141"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "#importing modules\n",

-      "import math\n",

-      "from __future__ import division\n",

-      "\n",

-      "#Variable declaration\n",

-      "EKalpha=21.99;   #energy in silver(keV)\n",

-      "EKbita=25.145;   #energy in silver(keV)\n",

-      "E=-25.514;    #energy of n=1 state(keV)\n",

-      " \n",

-      "#Calculation\n",

-      "ELalpha=EKbita-EKalpha;     #energy of L alpha X ray(keV)\n",

-      "E2=-E-EKalpha;    #binding energy of L electron(keV)\n",

-      "\n",

-      "#Result\n",

-      "print \"energy of L alpha X ray is\",ELalpha,\"keV\"\n",

-      "print \"binding energy of L electron is\",E2,\"keV\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "energy of L alpha X ray is 3.155 keV\n",

-        "binding energy of L electron is 3.524 keV\n"

-       ]

-      }

-     ],

-     "prompt_number": 8

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example number 7.13, Page number 141"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "#importing modules\n",

-      "import math\n",

-      "from __future__ import division\n",

-      "\n",

-      "#Variable declaration\n",

-      "h=6.626*10**-34;    #planck's constant(Js)\n",

-      "c=3*10**8;    #velocity of light(m/sec)\n",

-      "Z=11;    #atomic number\n",

-      "R=1.097*10**7;    #value of R(per m)\n",

-      "\n",

-      "#Calculation\n",

-      "E=(3*h*c*R*(Z-1)**2)/4;     #energy of k aplha X-ray(keV)\n",

-      "\n",

-      "#Result\n",

-      "print \"energy of k aplha X-ray is\",round(E*10**16,2),\"*10**-16 keV\"\n",

-      "print \"answer given in the book is wrong\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "energy of k aplha X-ray is 1.64 *10**-16 keV\n",

-        "answer given in the book is wrong\n"

-       ]

-      }

-     ],

-     "prompt_number": 12

-    }

-   ],

-   "metadata": {}

-  }

- ]

-}
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