summaryrefslogtreecommitdiff
path: root/Physical_Chemistry_by_Duffey_George_H/Chapter6.ipynb
blob: b154f805e0691f20167a37d732af955b9b743b14 (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
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
{
 "metadata": {
  "name": "",
  "signature": "sha256:9bf5bbe9f730183d02f70c65bc17bfc01b5796cd6c1851929b94b0569d87691c"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Chapter 6 - valence electrons in molecules"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 1 - pg 150"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#calculate the wave function\n",
      "#initialization of variables\n",
      "import math\n",
      "from math import sqrt\n",
      "a2=1/8.\n",
      "#calculations\n",
      "b2=1-a2\n",
      "a1=sqrt(a2)\n",
      "b1=sqrt(b2)\n",
      "#results\n",
      "print '%s %.2f %s %.2f %s' %(\" Wave function is\",a1, \"phi1 +\",b1,\"phi2\")\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " Wave function is 0.35 phi1 + 0.94 phi2\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 3 - pg 156"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#calculate the Bond angle\n",
      "#initialization of variables\n",
      "import math\n",
      "sinu=2/math.sqrt(3.)\n",
      "cosu=math.sqrt(2/3.)\n",
      "#calculations\n",
      "tanu=sinu/cosu\n",
      "u=math.atan(sinu/cosu) *180/math.pi\n",
      "#results\n",
      "print '%s %.2f %s' %(\"Bond angle =\",2*u,\"degrees\")\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Bond angle = 109.47 degrees\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Example 4 - pg 156"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#calculate the Pauling strength\n",
      "#initialization of variables\n",
      "import math\n",
      "cosu=1/math.sqrt(3.)\n",
      "sinu=math.sqrt(2./3)\n",
      "#calculations\n",
      "f=1/2. + math.sqrt(3.) /2. *cosu + math.sqrt(3./2) *sinu\n",
      "#results\n",
      "print ' %s %d' %(\"Pauling strength = \",f)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " Pauling strength =  2\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 5 - pg 157"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#calculate the Wave function\n",
      "#initialization of variables\n",
      "import math\n",
      "alpha=60.*math.pi/180.\n",
      "#calculations\n",
      "cosa=math.cos(alpha)\n",
      "sina=math.sin(alpha)\n",
      "#results\n",
      "print '%s %.2f %s %.2f %s' %(\"Wave function  =\",cosa,\"s +\",sina,\"pz\")\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Wave function  = 0.50 s + 0.87 pz\n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 9 - pg 169"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#calculate the Bond energy\n",
      "#initialization of variables\n",
      "DHH=103. #kcal/mol\n",
      "#calculations\n",
      "DHHp=0.5*(DHH)\n",
      "#results\n",
      "print '%s %.1f %s' %(\"Bond energy =\",DHHp,\"kcal/mol\")\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Bond energy = 51.5 kcal/mol\n"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 10 - pg 174"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#calculate the Exchange energy\n",
      "#initialization of variables\n",
      "DHH=42 #kcal/mol\n",
      "#calculations\n",
      "DHHp=0.5*(DHH)\n",
      "#results\n",
      "print '%s %.1f %s' %(\"Exchange energy =\",DHHp,\"kcal/mol\")\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Exchange energy = 21.0 kcal/mol\n"
       ]
      }
     ],
     "prompt_number": 6
    }
   ],
   "metadata": {}
  }
 ]
}