summaryrefslogtreecommitdiff
path: root/Engineering_Physics_by_K._Rajagopal/Chapter_10.ipynb
blob: 293510cbcd809ecb8d30636f4f2aeab05cb90395 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Chapter 10: Energy Bands in Solids"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 10.1, Page 323"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from math import log\n",
      "\n",
      "#Variable declaration\n",
      "#E=Ef+1% of Ef\n",
      "k=1.38*1e-23;#boltzman constant\n",
      "e=1.6*1e-19;#charge of electron\n",
      "E=0.0555;\n",
      "\n",
      "#calculations\n",
      "#0.1=1/[(exp((E*e)/(k*T)))+1]\n",
      "T=(E*e)/(k*log(9));#Temprature\n",
      "\n",
      "#Result\n",
      "print 'Temprature = %.f K'%T\n",
      "#Incorrect answer in the textbook\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Temprature = 293 K\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 10.2, Page 324\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from math import exp\n",
      "\n",
      "#Variable declaration\n",
      "sx=0.01 #in ev. where x=E-Ef\n",
      "x1=sx*1.6*1e-19 #converting it in joule\n",
      "T=200 #in kelvin\n",
      "\n",
      "#calculation\n",
      "Fe=1/(1+exp(x1/(1.38*1e-23*T)));#The value of F(E) \n",
      "\n",
      "#Result\n",
      "print 'The value of F(E) = %.2f'%Fe\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The value of F(E) = 0.36\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 10.3, Page 327"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "#Variable declaration\n",
      "density=7.13*1e3  #in kg/m^3\n",
      "M=65.4\n",
      "N=6.023*1e26 #avogedro number\n",
      "\n",
      "#Calculations\n",
      "n=(2*density*N)/M\n",
      "n1=n**(2./3);\n",
      "Ef=3.65*1e-19*n1; #in eV\n",
      "Ef1=(3./5)*Ef #in eV\n",
      "\n",
      "#Results\n",
      "print 'fermi energy = %.1f eV'%Ef\n",
      "print 'Mean energy at T=0K is %.f eV'%Ef1\n",
      "#Incorrect answers in the textbook\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "fermi energy = 9.4 eV\n",
        "Mean energy at T=0K is 6 eV\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 10.4, Page 328"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#Variable declaration\n",
      "Ef=5.51 #in eV\n",
      "\n",
      "#calculation\n",
      "E=(3./5)*Ef;#The average energy of a free electron in silver at 0k\n",
      "\n",
      "#Result\n",
      "print 'The average energy of a free electron in silver at 0k = %.3f eV'%E\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The average energy of a free electron in silver at 0k = 3.306 eV\n"
       ]
      }
     ],
     "prompt_number": 4
    }
   ],
   "metadata": {}
  }
 ]
}