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diff --git a/Engineering_Physics_by_Rajendran/Chapter17.ipynb b/Engineering_Physics_by_Rajendran/Chapter17.ipynb new file mode 100755 index 00000000..7f40976f --- /dev/null +++ b/Engineering_Physics_by_Rajendran/Chapter17.ipynb @@ -0,0 +1,214 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:fde95e6d9c736121aaabaa0d5609f06ddf07df078e4e974cfe128a5769da216f"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "17: Statistics and band theory of solids"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 17.1, Page number 23"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "rhoCu=8.96*10**3; #density of Cu(kg/m**3)\n",
+ "awCu=63.55; #atomic weight of Cu\n",
+ "nfCu=1*10**3; #number of free electrons per Cu atom\n",
+ "rhoZn=7.14*10**3; #density of Zn(kg/m**3)\n",
+ "awZn=65.38; #atomic weight of Zn\n",
+ "nfZn=2*10**3; #number of free electrons per Zn atom\n",
+ "rhoAl=2.7*10**3; #density of Al(kg/m**3)\n",
+ "awAl=27; #atomic weight of Al\n",
+ "nfAl=3*10**3; #number of free electrons per Al atom\n",
+ "N=6.022*10**23; #avagadro constant\n",
+ "h=6.626*10**-34; #planck's constant\n",
+ "me=9.1*10**-31; #mass of electron(kg)\n",
+ "e=1.6*10**-19; #electron charge(c)\n",
+ "\n",
+ "#Calculation\n",
+ "nCu=rhoCu*N*nfCu/awCu; #concentration of electrons in Cu(per m**3)\n",
+ "EF0Cu=(h**2/(8*me))*(3*nCu/math.pi)**(2/3); #fermi energy of Cu at 0K(J)\n",
+ "EF0Cu=EF0Cu/e; #fermi energy of Cu at 0K(eV)\n",
+ "nZn=rhoZn*N*nfZn/awZn; #concentration of electrons in Zn(per m**3)\n",
+ "EF0Zn=(h**2/(8*me))*(3*nZn/math.pi)**(2/3); #fermi energy of Zn at 0K(J)\n",
+ "EF0Zn=EF0Zn/e; #fermi energy of Zn at 0K(eV)\n",
+ "nAl=rhoAl*N*nfAl/awAl; #concentration of electrons in Al(per m**3)\n",
+ "EF0Al=(h**2/(8*me))*(3*nAl/math.pi)**(2/3); #fermi energy of Al at 0K(J)\n",
+ "EF0Al=EF0Al/e; #fermi energy of Al at 0K(eV)\n",
+ "\n",
+ "#Result\n",
+ "print \"fermi energy of Cu at 0K is\",round(EF0Cu,4),\"eV\"\n",
+ "print \"fermi energy of Zn at 0K is\",round(EF0Zn,2),\"eV\"\n",
+ "print \"fermi energy of Al at 0K is\",round(EF0Al,2),\"eV\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "fermi energy of Cu at 0K is 7.0608 eV\n",
+ "fermi energy of Zn at 0K is 9.45 eV\n",
+ "fermi energy of Al at 0K is 11.68 eV\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 17.2, Page number 25"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "nCu=8.4905*10**28; #concentration of electrons in Cu(per m**3)\n",
+ "h=6.626*10**-34; #planck's constant\n",
+ "me=9.1*10**-31; #mass of electron(kg)\n",
+ "gama=6.82*10**27;\n",
+ "\n",
+ "#Calculation\n",
+ "EF0=(h**2/(8*me))*(3*nCu/math.pi)**(2/3); #fermi energy of Cu at 0K(J)\n",
+ "EF=EF0/e; #fermi energy of Cu at 0K(eV)\n",
+ "DE=(gama/2)*math.sqrt(EF); #density of states for Cu at fermi level(per m**3)\n",
+ "\n",
+ "#Result\n",
+ "print \"density of states for Cu at fermi level is\",int(DE/10**27),\"*10**27 per m**3\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "density of states for Cu at fermi level is 9 *10**27 per m**3\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 17.3, Page number 26"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "rhoNi=69*10**-9; #resistivity of Ni(ohm m)\n",
+ "rhoCr=129*10**-9; #resistivity of Cr(ohm m)\n",
+ "rho=1120*10**-9; #resistivity(ohm m) \n",
+ "X=0.8; \n",
+ "\n",
+ "#Calculation\n",
+ "C=rho/(X*(1-X)); #Nordheim's coefficient(ohm m)\n",
+ "\n",
+ "#Result\n",
+ "print \"Nordheim's coefficient is\",C,\"ohm m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Nordheim's coefficient is 7e-06 ohm m\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 17.4, Page number 26"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "rho=2.7*10**3; #density of Al(kg/m**3)\n",
+ "M=27; #atomic weight of Al \n",
+ "tow_r=10**-14; #relaxation time(s)\n",
+ "e=1.6*10**-19; #charge of electron(c) \n",
+ "NA=6.022*10**23; #avagadro constant\n",
+ "m=9.1*10**-31; #mass of electron(kg)\n",
+ "f=3*10**3; #number of free electrons per atom\n",
+ "\n",
+ "#Calculation\n",
+ "n=rho*NA*f/M; #number of electrons available per m**3\n",
+ "sigma=n*e**2*tow_r/m; #conductivity of Al(ohm m) \n",
+ "\n",
+ "#Result\n",
+ "print \"conductivity of Al is\",round(sigma/10**7,4),\"*10**7 ohm m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "conductivity of Al is 5.0823 *10**7 ohm m\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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