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| author | kinitrupti | 2017-05-12 18:40:35 +0530 |
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| committer | kinitrupti | 2017-05-12 18:40:35 +0530 |
| commit | d36fc3b8f88cc3108ffff6151e376b619b9abb01 (patch) | |
| tree | 9806b0d68a708d2cfc4efc8ae3751423c56b7721 /backup/Engineering_Physics_by_P.K.Palanisamy_version_backup/Chapter5_1.ipynb | |
| parent | 1b1bb67e9ea912be5c8591523c8b328766e3680f (diff) | |
| download | Python-Textbook-Companions-d36fc3b8f88cc3108ffff6151e376b619b9abb01.tar.gz Python-Textbook-Companions-d36fc3b8f88cc3108ffff6151e376b619b9abb01.tar.bz2 Python-Textbook-Companions-d36fc3b8f88cc3108ffff6151e376b619b9abb01.zip | |
Revised list of TBCs
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diff --git a/backup/Engineering_Physics_by_P.K.Palanisamy_version_backup/Chapter5_1.ipynb b/backup/Engineering_Physics_by_P.K.Palanisamy_version_backup/Chapter5_1.ipynb new file mode 100755 index 00000000..f1b18946 --- /dev/null +++ b/backup/Engineering_Physics_by_P.K.Palanisamy_version_backup/Chapter5_1.ipynb @@ -0,0 +1,238 @@ +{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#5: Elements of statistical mechanics"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.1, Page number 5.10"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "average thermal energy is 0.039 eV\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "k=1.38*10**-23; #boltzmann constant(J)\n",
+ "T=300; #temperature(K)\n",
+ "e=1.6*10**-19; #charge(c)\n",
+ "\n",
+ "#Calculation\n",
+ "E=3*k*T/(2*e); #average thermal energy(eV)\n",
+ "\n",
+ "#Result\n",
+ "print \"average thermal energy is\",round(E,3),\"eV\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.3, Page number 5.18"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "fermi function is 0.269\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "kT=1; #assume\n",
+ "E_Ef=kT;\n",
+ "\n",
+ "#Calculation\n",
+ "FE=1/(1+math.exp(1)); #fermi function\n",
+ "\n",
+ "#Result\n",
+ "print \"fermi function is\",round(FE,3)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.4, Page number 5.18"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " temperature is 290.2 K\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "FE=10/100; #fermi function\n",
+ "EF=5.5; #energy function(eV)\n",
+ "e=1.6*10**-19; #charge(c)\n",
+ "k=1.38*10**-23; #boltzmann constant(J)\n",
+ "\n",
+ "#Calculation\n",
+ "E=EF+(EF/100); #energy(eV)\n",
+ "x=math.log((1/FE)-1);\n",
+ "T=(E-EF)*e/(k*x); #temperature(K)\n",
+ "\n",
+ "#Result\n",
+ "print \"temperature is\",round(T,1),\"K\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.5, Page number 5.19"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "fermi velocity is 0.86 *10**6 m s-1\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "k=1.38*10**-23; #boltzmann constant(J)\n",
+ "T=24600; #temperature(K)\n",
+ "m=9.108*10**-31; #mass(kg)\n",
+ "\n",
+ "#Calculation\n",
+ "vF=math.sqrt(2*k*T/m); #fermi velocity(m s-1)\n",
+ "\n",
+ "#Result\n",
+ "print \"fermi velocity is\",round(vF/10**6,2),\"*10**6 m s-1\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 5.6, Page number 5.21"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "number of states is 1.1877 *10**26\n",
+ "answer given in the book is wrong\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "from scipy.integrate import quad\n",
+ "\n",
+ "#Variable declaration\n",
+ "EF=3.0; #fermi energy(eV)\n",
+ "e=1.6*10**-19; #charge(c)\n",
+ "m=9.14*10**-31; #mass(kg)\n",
+ "h=6.62*10**-34; #planck's constant\n",
+ "\n",
+ "#Calculation\n",
+ "E1=EF*e; #energy(J)\n",
+ "E2=(EF+0.01)*e; #energy(J)\n",
+ "def zintg(E):\n",
+ "\treturn (4*math.pi*(2*m)**(3/2)*math.sqrt(E))/h**3;\n",
+ "\n",
+ "n=quad(zintg,E1,E2)[0]; #number of states\n",
+ "\n",
+ "#Result\n",
+ "print \"number of states is\",round(n/10**26,4),\"*10**26\"\n",
+ "print \"answer given in the book is wrong\""
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
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