{
"cells": [
 {
		   "cell_type": "markdown",
	   "metadata": {},
	   "source": [
       "# Chapter 5: principles of statistical thermodynamics"
	   ]
	},
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 5.1: example_1.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clc\n",
"//Initialization of variables\n",
"N1=1\n",
"N2=1\n",
"N3=3\n",
"N4=1\n",
"//calculations\n",
"N=N1+N2+N3+N4\n",
"sig=factorial(N) /(factorial(N1) *factorial(N2)*factorial(N3)*factorial(N4))\n",
"//results\n",
"printf('No. of ways of arranging = %d ',sig)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 5.2: example_2.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clc\n",
"//Initialization of variables\n",
"N=6\n",
"g=4\n",
"//calculations\n",
"sig=factorial(g+N-1) /(factorial(g-1) *factorial(N))\n",
"//results\n",
"printf('No. of ways of arranging = %d ',sig)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 5.3: example_3.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clc\n",
"//Initialization of variables\n",
"N=6\n",
"g=8\n",
"//calculations\n",
"sig=factorial(g) /(factorial(N) *factorial(g-N))\n",
"//results\n",
"printf('No. of ways  = %d ',sig)"
   ]
   }
,
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 5.4: example_4.sce"
		   ]
		  },
  {
"cell_type": "code",
	   "execution_count": null,
	   "metadata": {
	    "collapsed": true
	   },
	   "outputs": [],
"source": [
"clc\n",
"//Initialization of variables\n",
"N0=1\n",
"//calculations\n",
"N1=3/%e\n",
"N2=6/%e^2\n",
"N3=10/%e^3\n",
"N=N0+N1+N2+N3\n",
"ei=[0 1 2 3]\n",
"eid=ei+1\n",
"f0=N0/N\n",
"f1=N1/N\n",
"f2=N2/N\n",
"f3=N3/N\n",
"fi=[f0 f1 f2 f3]\n",
"//results\n",
"printf('fractional population of level 0 = %.3f',f0)\n",
"printf(' \n fractional population of level 1 = %.3f',f1)\n",
"printf(' \n fractional population of level 2 = %.3f',f2)\n",
"printf(' \n fractional population of level 3 = %.3f',f3)\n",
"xtitle('fractional populations vs Energy levels','Energy levels ei','fractional population Ni/N')\n",
"bar(ei,fi,0.1)"
   ]
   }
],
"metadata": {
		  "kernelspec": {
		   "display_name": "Scilab",
		   "language": "scilab",
		   "name": "scilab"
		  },
		  "language_info": {
		   "file_extension": ".sce",
		   "help_links": [
			{
			 "text": "MetaKernel Magics",
			 "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
			}
		   ],
		   "mimetype": "text/x-octave",
		   "name": "scilab",
		   "version": "0.7.1"
		  }
		 },
		 "nbformat": 4,
		 "nbformat_minor": 0
}