diff options
Diffstat (limited to 'Modern_physics_for_engineers_by_S.P.Taneja/chapter21.ipynb')
| -rw-r--r-- | Modern_physics_for_engineers_by_S.P.Taneja/chapter21.ipynb | 427 |
1 files changed, 427 insertions, 0 deletions
diff --git a/Modern_physics_for_engineers_by_S.P.Taneja/chapter21.ipynb b/Modern_physics_for_engineers_by_S.P.Taneja/chapter21.ipynb new file mode 100644 index 00000000..bf4be38c --- /dev/null +++ b/Modern_physics_for_engineers_by_S.P.Taneja/chapter21.ipynb @@ -0,0 +1,427 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:b6353cab8239666e492e150381505927ed36ee982fa6a2d0b8c2d1ea5d2f16a2"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 21 Band theory of solids"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.1 Page no 228"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "T=300 #K\n",
+ "Er=0.7 #ev\n",
+ "K=0.025 #ev\n",
+ "a=4.83*10**21\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "ni=a*T**1.5*math.exp(Er/K)\n",
+ "\n",
+ "#Result\n",
+ "print\"Density of holes and electron is\",round(ni*10**-37,1)*10**19,\"/m**3\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Density of holes and electron is 3.6e+19 /m**3\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.2 Page no 229"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "T=300 #K\n",
+ "nd=5*10**22 #/m**3\n",
+ "K=0.025 #ev\n",
+ "a=4.83*10**21\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "E=(a*T**1.5)/nd\n",
+ "E1=K*math.log(E)\n",
+ "\n",
+ "#Result\n",
+ "print\"Position of fermi level is\", round(E1,2),\"ev\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Position of fermi level is 0.16 ev\n"
+ ]
+ }
+ ],
+ "prompt_number": 20
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.3 Page no 229"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E=0.3 #ev\n",
+ "T1=300.0\n",
+ "T2=330 #K\n",
+ "\n",
+ "#Calculation\n",
+ "E1=E*T2/T1\n",
+ "\n",
+ "#Result\n",
+ "print\"New position of fermi level is\",E1,\"ev\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "New position of fermi level is 0.33 ev\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.4 Page no 230"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "Kb=9.1*10**-31\n",
+ "m=1.38*10**-23\n",
+ "h=6.6*10**-34\n",
+ "uh=0.17 #m**2/Volt/sec\n",
+ "a=2.12 #/ohm/m\n",
+ "ue=0.36\n",
+ "e=1.2*10**-19\n",
+ "T=300\n",
+ "T1=13.8\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "C=2*((2*math.pi*Kb*m)/h**2)**1.5\n",
+ "ni=a/(e*(ue+uh))\n",
+ "A=(C*T**1.5)/ni\n",
+ "K=math.log(A)*T\n",
+ "Eb=2*Kb*T1\n",
+ "\n",
+ "#Result\n",
+ "print round(Eb*10**28,2),\"ev\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "0.25 ev\n"
+ ]
+ }
+ ],
+ "prompt_number": 51
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.5 Page no 231"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E=0.4 #ev\n",
+ "T=0.03 #ev\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "E1=E-(T*math.log(3))\n",
+ "\n",
+ "#Result\n",
+ "print\"New position of fermi level is\", round(E1,3),\"ev\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "New position of fermi level is 0.367 ev\n"
+ ]
+ }
+ ],
+ "prompt_number": 55
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.6 Page no 231"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "h=6.626*10**-34 #J-s\n",
+ "m=9.1*10**-31 #Kg\n",
+ "a=0.3*10**-9 #m\n",
+ "e=1.6*10**-19\n",
+ "\n",
+ "#Calculation\n",
+ "p=h/(2*a)\n",
+ "E=p**2/(2*m*e)\n",
+ "\n",
+ "#Result\n",
+ "print\"Electron momentum is\",round(p*10**24,1)*10**-24,\"Kg m/s\"\n",
+ "print\"Energy of free electron is\",round(E,1),\"ev\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Electron momentum is 1.1e-24 Kg m/s\n",
+ "Energy of free electron is 4.2 ev\n"
+ ]
+ }
+ ],
+ "prompt_number": 64
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.7 Page no 232"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "P=0.35 #Volt\n",
+ "T=300 #K\n",
+ "e=1.6*10**-19\n",
+ "K=1.38*10**-23\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "Iv=math.exp(e*P/(K*T))\n",
+ "\n",
+ "#Result\n",
+ "print\"Forward current is\", round(Iv*10**-5,2),\"*10**5 I0\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Forward current is 7.49 *10**5 I0\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.8 Page no 232"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "Kb=1.38*10**-23\n",
+ "T=300\n",
+ "e=1.6*10**-19\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "V=math.log(10)*math.log10(1.9)*Kb*T/e\n",
+ "\n",
+ "#Result\n",
+ "print\"Voltage is\", round(V,4),\"Volts\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Voltage is 0.0166 Volts\n"
+ ]
+ }
+ ],
+ "prompt_number": 17
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.9 Page no 232"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a=0.428*10**-9\n",
+ "n=2.55*10**28\n",
+ "e=1.6*10**-19\n",
+ "m=0.014\n",
+ "m1=0.18\n",
+ "me=9.1*10**-31 #kg\n",
+ "T=300 #K\n",
+ "K=0.025 #ev\n",
+ "Eg=0.15 #ev\n",
+ "n1=1.535*10**22\n",
+ "Ix=100*10**-3\n",
+ "b=10**-3 #Web/m**3\n",
+ "B=0.1\n",
+ "\n",
+ "#Calculation\n",
+ "n=2/a**3\n",
+ "Rh=1/(n*e)\n",
+ "me1=m*me\n",
+ "mh=m1*me\n",
+ "RH=1/(n1*e)\n",
+ "Vh=(Rh*Ix*B)/b\n",
+ "VH=Ix*B*RH/b\n",
+ "\n",
+ "#Result\n",
+ "print\"Hall coefficient of sodium is\", round(Rh*10**9,3),\"*10**-9 m**3/C\"\n",
+ "print\"Hall coefficient of pure InSb is\",round(RH*10**4,2),\"*10**-4 m**3/C\"\n",
+ "print\"Hall voltage for sodium is\",round(Vh*10**9,2)*10**-9,\"V\"\n",
+ "print\"Hall voltage for InSb is\",round(VH*10**3,2),\"*10**-3 V\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Hall coefficient of sodium is 0.245 *10**-9 m**3/C\n",
+ "Hall coefficient of pure InSb is 4.07 *10**-4 m**3/C\n",
+ "Hall voltage for sodium is 2.45e-09 V\n",
+ "Hall voltage for InSb is 4.07 *10**-3 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 43
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21.10 Page no 233"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "n=5*10**25 #atoms/m**3\n",
+ "e=1.6*10**-19 #C\n",
+ "\n",
+ "#Calculation\n",
+ "Rh=1/(n*e)\n",
+ "\n",
+ "#Result\n",
+ "print\"Hall coefficient is\",Rh*10**8,\"*10**-4 m**3\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Hall coefficient is 12.5 *10**-4 m**3\n"
+ ]
+ }
+ ],
+ "prompt_number": 52
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |