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"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 9 : Statistical Thermodynamics\n"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 9.1 Page No : 542"
]
},
{
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"input": [
"\n",
"# Input data\n",
"N = 6000. # Number of particles in a system\n",
"e = 3. # The number of energy states with equal spacing\n",
"n1 = 3000. # Number of particles in the lower level\n",
"n2 = 2500. # Number of particles in the middle level\n",
"n3 = 500. # Number of particles in the upper level\n",
"n11 = 3001. # Number of particles in the lower level in the second case\n",
"n22 = 2498. # Number of particles in the middle level in the second case\n",
"n33 = 501. # Number of particles in the upper level in the second case\n",
"g = 1. # Let us assume the probability of locating a particle in a certain energy state is one\n",
"\n",
"# Calculations\n",
"P1 = 1. / (2500. * 2499) # The probability in the first case\n",
"P2 = 1. / (3001. * 501) # The probability in the second case\n",
"P = P2 / P1 # Comparing the relative probabilities\n",
"\n",
"# Output\n",
"print 'By comparing the relative probabilities P = %3.1f \\n (It means the transfer of one particle from the middle to the\\n upper and the lower state has changed the probability by a factor %3.1f \\n Hence both the distributions are not near the equilibrium state)' % (P, P)\n"
],
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{
"output_type": "stream",
"stream": "stdout",
"text": [
"By comparing the relative probabilities P = 4.2 \n",
" (It means the transfer of one particle from the middle to the\n",
" upper and the lower state has changed the probability by a factor 4.2 \n",
" Hence both the distributions are not near the equilibrium state)\n"
]
}
],
"prompt_number": 1
}
],
"metadata": {}
}
]
}