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{
"metadata": {
"name": "",
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 8: Atomic Physics"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8.3, Page 285"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#Variable declaration\n",
"delta_E = 0.0021; # Energy difference for the 3p subshell of sodium, eV\n",
"h = 6.62e-034; # Planck's constant, Js\n",
"h_bar = h/(2*math.pi); # Reduced Planck's constant, Js\n",
"e = 1.602e-019; # Energy equivalent of 1 eV, J\n",
"m = 9.11e-031; # Rest of an an electron, kg\n",
"g_s = 2; # Gyromagnetic ratio due to spin splitting\n",
"\n",
"#Calculations\n",
"# As delta_E = g_s*e*h_bar/(2*m)*B, solving for B\n",
"B = m*delta_E/h_bar; # Internal magnetic field causing the LS splitting, T\n",
"\n",
"#Result\n",
"print \"The internal magnetic field causing the LS splitting = %2d T\"%B"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The internal magnetic field causing the LS splitting = 18 T\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8.5, Page 289"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy\n",
"\n",
"l1 = 1; # Orbital angular momentum quantum number for first electron\n",
"l2 = 2; # Orbital angular momentum quantum number for second electron\n",
"s1 = 1./2; # Spin angular momentum quantum number for first electron\n",
"s2 = 1./2; # Spin angular momentum quantum number for second electron\n",
"temp_j = numpy.zeros(15);\n",
"cnt = 0;\n",
"print (\"\\nThe all possibe values of the total angular momentum quantum number of J are:\");\n",
"for L in range(int(abs(l1 - l2)),int(abs(l1 + l2))+1):\n",
" for S in range(int(abs(s1 - s2)),int(abs(s1 + s2))+1):\n",
" for j in range(abs(L - S),abs(L + S)+1):\n",
" temp_j[cnt] = j;\n",
" cnt = cnt + 1;\n",
"\n",
"\n",
"J = -1;\n",
"temp_J = sorted(temp_j)\n",
"for i in range(len(temp_J)):\n",
" if temp_J[i] > J:\n",
" J = temp_J[i];\n",
" print \"%d \"%temp_J[i],;\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"The all possibe values of the total angular momentum quantum number of J are:\n",
"0 1 2 3 4 \n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8.8, Page 291"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#Variable declaration\n",
"delta_E = 0.0021; # Energy difference for the 3p subshell of sodium, eV\n",
"h = 6.62e-034; # Planck's constant, Js\n",
"h_bar = h/(2*math.pi); # Reduced Planck's constant, Js\n",
"e = 1.602e-019; # Energy equivalent of 1 eV, J\n",
"m = 9.11e-031; # Rest of an an electron, kg\n",
"g_s = 2; # Gyromagnetic ratio due to spin splitting\n",
"\n",
"#Calculations\n",
"# As delta_E = g_s*e*h_bar/(2*m)*B, solving for B\n",
"B = m*delta_E/h_bar; # Internal magnetic field causing the LS splitting, T\n",
"\n",
"#Result\n",
"print \"The internal magnetic field causing the LS splitting = %2d T\"%B"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The internal magnetic field causing the LS splitting = 18 T\n"
]
}
],
"prompt_number": 3
}
],
"metadata": {}
}
]
}
|
