Experimental data and empirical correlations for the total absorption of band groups at 15, 10.4, 9.4, 7.5, 5.2, 4.8, 4.3, 2.7, 1.6, and 1.4 μ are presented for carbon dioxide gas in nitrogen at total pressures from 0.5 to 10 atm, temperatures from 294° to 1390°K (530° to 2500°R) and mole fractions from 0.05 to 1.00. The data were obtained from low-resolution measurements of the spectral absorptivity. Use of optical paths of 129 cm at 294°K and 38.8 cm at that and higher temperatures resulted in a range of mass path lengths from 10 to 24 500 g/m2.
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Slit width used in present investigation.
Slit width used in investigation of Bernsen.9
Slit width used in investigation of Howard et al.3
Table II
Experimental data.
T K
w gm/m2
P atm
A cm−1
15-μ band
294
24 500
10.4
1.00
237
13 000
9.9
0.56
217
11 800
5.0
1.00
209
7040
9.9
1.00
203
5550
9.9
0.237
193
4730
2.00
1.00
185
3470
4.9
1.00
183
2440
10.0
0.103
177
2360
1.00
1.00
163
2360
1.00
1.00
164
2360
1.00
1.00
169
2360
1.00
1.00
167
2360
1.00
1.00
167
1420
2.00
1.00
160
1320
1.00
0.56
154
1240
9.9
0.053
164
1160
0.49
1.00
143
709
1.00
1.00
136
616
4.9
0.053
145
562
1.00
0.237
130
361
0.51
1.00
113
252
2.01
0.053
117
249
1.00
0.105
110
125
1.00
0.053
95
63
0.50
0.053
62
555
3620
9.9
1.00
272
1870
5.0
1.00
247
758
2.02
1.00
217
411
10.0
0.110
204
378
1.01
1.00
183
207
0.99
0.57
162
202
10.1
0.0535
174
183
0.49
1.00
147
81
1.00
0.217
130
41
1.00
0.110
98
20
0.99
0.0535
64
833
2440
10.0
1.00
307
1230
4.9
1.00
275
489
2.00
1.00
253
276
10.1
0.110
227
246
1.00
1.00
219
143
1.01
0.57
186
138
10.1
0.055
194
124
0.50
1.00
178
53
1.00
0.217
133
28
1.00
0.110
110
14
1.00
0.055
91
1110
1870
10.1
1.00
331
936
5.0
1.00
310
374
2.00
1.00
268
200
10.1
0.106
246
187
1.00
1.00
235
94
0.50
1.00
193
94
1.01
0.502
196
38
1.01
0.198
143
20
1.02
0.106
98
1390
1510
10.1
1.00
345
748
5.01
1.00
320
302
2.02
1.00
278
158
10.1
0.105
250
151
1.01
1.00
233
82
10.1
0.054
210
77
1.00
0.512
197
76
0.505
1.00
192
30
1.00
0.198
141
16
1.00
0.105
97
8
1.00
0.054
65
10.4-μ band
294
23 400
9.9
1.00
17
12 900
9.8
0.56
11
11 800
5.0
1.00
8
7040
9.9
1.00
5
5550
9.9
0.237
4.5
4780
2.02
1.00
3
3470
4.9
1.00
3
2450
9.9
0.105
2
2360
1.00
1.00
1
1430
2.01
1.00
2
1320
1.00
0.56
1
1160
0.49
1.00
1
709
1.00
1.00
0.7
555
3660
9.9
1.00
56
1870
5.0
1.00
32
748
2.00
1.00
15
411
10.0
0.110
7
374
1.00
1.00
4
217
1.02
0.57
5
200
10.0
0.0535
7
187
0.50
1.00
3
81
1.00
0.217
2
41
1.00
0.110
2
833
2480
9.9
1.00
106
1290
4.9
1.00
67
489
2.0
1.00
28
279
10.1
0.110
18
249
1.02
1.00
18
141
1.00
0.57
8
138
10.1
0.055
6
129
0.50
1.00
10
54
1.00
0.217
3
1110
1890
10.1
1.00
123
933
5.0
1.00
83
371
2.00
1.00
39
200
10.1
0.106
22
187
1.00
1.00
23
94
1.01
0.502
8
93
0.50
1.00
11
38
1.01
0.198
3
20
1.00
0.106
1
1390
1510
10.1
1.00
127
748
5.0
1.00
86
302
2.02
1.00
42
158
10.1
0.105
22
151
1.01
1.00
22
81
10.1
0.054
11
78
1.01
0.514
10
73
0.49
1.00
12
30
1.01
0.198
5
16
1.00
0.105
2
9.4-μ band
294
23 400
9.9
1.00
23
12 900
9.8
0.56
12
11 800
5.0
1.00
12
7040
9.9
1.00
10
5550
9.9
0.237
3
4780
2.02
1.00
4.6
3470
4.9
1.00
3.6
2450
9.9
0.105
2.9
2360
1.00
1.00
3
1430
2.01
1.00
4.5
1320
1.00
0.56
0.5
1160
0.49
1.00
1
709
1.00
1.00
0.7
555
3660
9.9
1.00
53
1870
5.0
1.00
35
748
2.00
1.00
16
411
10.0
0.110
9
374
1.00
1.00
5.9
217
1.02
0.57
5.1
200
10.0
0.0535
5
187
0.50
1.00
3.7
81
1.00
0.217
0
41
1.00
0.110
0
833
2480
9.9
1.00
77
1290
4.9
1.00
56
489
2.0
1.00
30
279
10.1
0.110
17
249
1.02
1.00
17
141
1.00
0.57
8.4
138
10.1
0.055
8
129
0.50
1.00
9
54
1.00
0.217
4
1110
1890
10.1
1.00
87
933
5.0
1.00
64
371
2.00
1.00
34
200
10.1
0.106
21
187
1.00
1.00
19
94
1.01
0.502
10
93
0.50
1.00
10
38
1.01
0.198
4
20
1.00
0.106
2
1390
1510
10.1
1.00
91
748
5.0
1.00
68
302
2.02
1.00
37
158
10.1
0.105
22
151
1.01
1.00
20
81
10.1
0.054
11
78
1.01
0.514
9
73
0.49
1.00
11
30
1.01
0.198
6
16
1.00
0.105
2
7.5-μ band
294
23 600
10.0
1.00
44
23 400
9.9
1.00
43
11 800
5.0
1.00
13
3550
5.0
1.00
5
5.2-μ band
294
23 400
9.9
1.00
22
12 900
9.8
0.56
12
11 800
5.0
1.00
14
7040
9.9
1.00
10
5550
9.9
0.237
7
4780
2.02
1.00
3.5
3470
4.9
1.00
12
2450
9.9
0.105
3
2360
1.00
1.00
3
2360
1.00
1.00
2.6
1430
2.01
1.00
4
1320
1.00
0.56
2
1280
10.0
0.054
1
1280
9.9
0.054
1
709
1.00
1.00
2
560
1.00
0.237
0.5
4.8-μ band
294
23 400
9.9
1.00
70
23 400
9.9
1.00
67
13 000
9.8
0.56
46
11 800
5.0
1.00
46
7040
9.9
1.00
48
5550
9.9
0.237
26
4780
2.02
1.00
20
3470
4.9
1.00
36
2450
9.9
0.105
15.5
2360
1.00
1.00
14
2360
1.00
1.00
14
1430
2.01
1.00
14
1320
1.00
0.56
9
1280
9.9
0.054
10.5
1160
0.49
1.00
8
709
1.00
1.00
6
641
5.0
0.054
5
641
5.0
0.054
5
592
0.25
1.00
3.5
560
1.00
0.237
5
357
0.50
1.00
3
249
1.00
0.105
2
177
0.25
1.00
2.7
4.3-μ band
294
23 400
9.9
1.00
319
23 400
9.9
1.00
323
13 000
9.8
0.56
289
11 800
5.0
1.00
268
7040
9.9
1.00
287
5550
9.9
0.237
236
4780
2.02
1.00
217
3470
4.9
1.00
237
2450
9.9
0.105
217
2360
1.00
1.00
188
2360
1.00
1.00
183
1430
2.01
1.00
196
1320
1.00
0.56
173
1280
9.9
0.054
199
1160
0.49
1.00
158
709
1.00
1.00
165
641
5.0
0.054
173
641
5.0
0.054
171
592
0.25
1.00
140
560
1.00
0.237
157
357
0.50
1.00
143
249
2.02
0.054
148
256
1.00
0.105
145
177
0.25
1.00
125
128
1.00
0.054
128
64
0.50
0.054
110
555
3660
9.9
1.00
303
1870
5.0
1.00
247
748
2.00
1.00
217
411
10.0
0.110
192
374
1.00
1.00
184
217
1.02
0.57
176
200
10.0
0.0535
191
187
0.50
1.00
162
81
1.00
0.217
154
41
1.00
0.110
146
20
1.00
0.0535
132
833
2480
9.9
1.00
326
1290
4.9
1.00
284
489
2.00
1.00
244
279
10.1
0.110
240
249
1.02
1.00
223
141
1.00
0.57
211
129
0.50
1.00
205
54
1.00
0.217
193
27
1.00
0.110
181
14
1.00
0.055
164
1110
1890
10.1
1.00
362
933
5.0
1.00
326
371
2.00
1.00
282
200
10.1
0.106
267
187
1.00
1.00
260
94
1.01
0.502
241
93
0.50
1.00
240
38
1.01
0.198
214
20
1.00
0.106
197
1390
1510
10.1
1.00
397
748
5.0
1.00
360
302
2.02
1.00
327
158
10.1
0.105
296
151
1.01
1.00
300
81
10.1
0.054
274
81
10.1
0.054
275
78
1.01
0.514
277
73
0.49
1.00
272
30
1.01
0.198
251
16
1.00
0.105
221
8.3
1.00
0.054
197
2.7-μ band
294
23 400
9.9
1.00
366
23 400
9.9
1.00
351
13 000
9.8
0.56
317
11 800
5.0
1.00
317
7040
9.9
1.00
338
5550
9.9
0.237
296
4730
2.00
1.00
277
3470
4.9
1.00
277
2450
9.9
0.105
265
2360
1.00
1.00
261
1430
2.01
1.00
246
1320
1.00
0.56
217
1280
9.9
0.054
238
1160
0.49
1.00
211
709
1.00
1.00
208
641
5.0
0.054
221
641
5.0
0.054
208
592
0.25
1.00
155
560
1.00
0.237
209
357
0.50
1.00
169
249
2.02
0.054
170
256
1.00
0.105
169
177
0.25
1.00
112
128
1.00
0.054
119
64
0.50
0.054
73
555
3660
9.9
1.00
343
1870
5.0
1.00
307
748
2.0
1.00
281
411
10.0
0.110
253
374
1.00
1.00
241
217
1.02
0.57
208
200
10.0
0.0535
219
187
0.50
1.00
187
81
1.00
0.217
126
41
1.00
0.110
89
20
1.00
0.0535
56
833
2480
9.9
1.00
387
1290
4.9
1.00
352
489
2.00
1.00
325
279
10.1
0.110
289
249
1.02
1.00
269
141
1.00
0.57
244
138
10.1
0.055
236
129
0.50
1.00
196
54
1.00
0.217
120
29
1.00
0.055
83
14
1.00
0.055
66
1110
1890
0.50
0.054
415
933
5.0
1.00
388
371
2.00
1.00
342
200
10.1
0.106
323
187
1.00
1.00
280
94
1.01
0.502
228
93
0.50
1.00
193
38
1.01
0.198
112
20
1.00
0.106
105
1390
1510
10.1
1.00
472
748
5.0
1.00
443
302
2.02
1.00
392
158
10.1
0.105
329
151
1.01
1.00
308
81
10.1
0.054
247
81
10.1
0.054
245
78
1.01
0.514
216
73
0.49
1.00
214
30
1.01
0.198
125
16
1.00
0.105
96
8.3
1.00
0.054
78
2-μ band
294
23 400
9.9
1.00
270
13 000
9.8
0.56
222
11 800
5.0
1.00
232
7040
9.9
1.00
213
5550
9.9
0.237
152
4730
2.00
1.00
151
3470
4.9
1.00
141
2450
9.9
0.105
107
2360
1.00
1.00
98
1430
2.01
1.00
76
2180
9.9
0.054
67
1160
0.49
1.00
45
709
1.00
1.00
38
641
5.0
0.054
50
641
5.0
0.054
44
560
1.00
0.237
35
357
0.50
1.00
25
249
2.02
0.054
20
256
1.00
0.105
22
128
1.00
0.054
12
64
0.50
0.054
6
555
3660
9.9
1.00
166
1870
5.0
1.00
112
748
2.00
1.00
61
411
10.0
0.110
28
374
1.00
1.00
26
217
1.02
0.57
14
200
10.0
0.0535
18
187
0.50
1.00
13
81
1.00
0.217
7
833
2480
9.9
1.00
168
1290
4.9
1.00
103
489
2.00
1.00
55
279
10.1
0.110
23
249
1.02
1.00
24
141
1.00
0.57
15
138
10.1
0.0555
10
129
0.50
1.00
16
1110
1890
10.1
1.00
197
933
5.0
1.00
103
371
2.00
1.00
41
200
10.1
0.106
21
187
1.00
1.00
23
94
1.01
0.502
11
93
0.50
1.00
8
1390
1510
10.1
1.00
177
748
5.0
1.00
93
302
2.02
1.00
37
158
10.1
0.105
15
151
1.01
1.00
15
78
1.01
0.514
8
73
0.49
1.00
4
1.6-μ band
294
23 400
9.9
1.00
41
13 000
9.8
0.56
17
11 800
5.0
1.00
21
5550
9.9
0.237
12
4730
2.00
1.00
14
1.4-μ band
294
23 400
9.9
1.00
51
13 000
9.8
0.56
29
11 800
5.0
1.00
32
5550
9.9
0.237
17
4730
2.00
1.00
15
Table III
Empirical correlation functions for the band absorption of carbon dioxide gas.a
Band
Band strength
PEL atm
PEU atm
T K
wL g/m2
wU g/m2
Band absorption, A cm−1
Uncertainty ±ΔA cm−1
15 μ
Strong
2.5
70
294
2000
25 000
69w0.11PE0.03
6
555
390
3600
102w0.11PE0.02
6
833
390
2400
123w0.11PE0.01
6
1110
370
1850
139w0.11PE0.01
7
1390
290
1500
153w0.11
7
Medium
1.0
10
294
64
2000
−15+51 log10w+22 log10PE
5
555
20
390
−36+82 log10w+19 log10PE
5
833
15
390
−57+112 log10w+12 log10PE
4
1110
10
370
−73+135 log10w+7 log10PE
4
1390
10
290
−85+152 log10w
4
10.4 μ
Medium
20
70
555
1850
3700
0.95w0.50
2
833
1270
2500
2.0w0.50
2
1110
930
1900
2.8w0.50
3
1390
730
1500
32w0.50
3
Weak
1.0
20
294
0
25 000
0.0008w
2
555
0
1850
0.018w
2
833
0
1270
0.061w
2
1110
0
930
0.102w
3
1390
0
730
0.141w
3
9.4 μ
Medium
20
70
555
1850
3700
0.9w0.50
2
833
1270
2500
1.5w0.50
2
1110
930
1900
2.0w0.50
3
1390
730
1500
2.4w0.50
3
9.4 μ
Weak
1.0
20
294
0
25 000
0.001w
2
555
0
1850
0.020w
2
833
0
1270
0.063 w
2
1110
0
930
0.102w
3
1390
0
730
0.133w
3
7.5 μ
Weak
6
70
294
0
25 000
0.0002wP, x=1.00
4
5.2 μ
Medium
6
70
294
2000
25 000
0.09w0.50PE0.1
2
Weak
1
10
294
0
2000
0.0016w
2
4.8 μ
Medium
6
70
294
2000
25 000
0.28w0.50PE0.1
2
Weak
1
10
294
0
2000
0.0082w
2
4.3 μ
Strong
0.5
70
294
64
25 000
75w0.11PE0.08
7
555
20
3700
93w0.11PE0.05
7
833
15
2400
119w0.11PE0.03
5
1110
20
1900
144w0.11PE0.02
5
1390
10
1500
168w0.11PE0.01
5
2.7 μ
Strong
1
70
294
290
25 000
88w0.12PE0.06
22
555
240
3700
118w0.12PE0.02
22
833
240
2500
148w0.12
17
1110
240
1900
169w0.12
17
1390
240
1500
197w0.12
17
Medium
0.5
1
294
64
290
11w0.50PE0.40
22
1
10
555
20
240
13.5w0.50PE0.06
22
833
15
240
17w0.50PE0.06
16
1110
20
240
20w0.50PE0.06
16
1390
10
240
24w0.50PE0.06
16
2.0 μ
Strong
20
70
294
6800
25 000
28w0.20PE0.06
15
2.0 μ
Medium
1
70
294
980
6800
1.45w0.50PE0.15
15
555
1850
3700
1.55w0.50PE0.15
15
833
1270
2500
1.75w0.50PE0.15
8
Weak
1
70
294
0
980
0.070w
15
555
0
730
0.082w
15
833
0
490
0.102w
8
1110
0
2000
0.108w
9
1390
0
1500
0.108w
9
1.6 μ
Medium
1
70
294
1400
25 000
0.18w0.30PE0.1
8
1.4 μ
Medium
1
70
294
1400
25 000
0.20w0.50PE0.1
8
Where PEL and PEU are the lower and upper limits, respectively, of the experimental range of validity for the equivalent broadening pressure PE in atm, T is the gas temperature, wL and wU are the lower and upper experimental limits for the mass path length in g/m3, A is the band absorption in cm−1 and ΔA is the estimated uncertainty in a single experimental measurement in cm−1.
Table IV
Comparison of the correlations for medium bands from Howard et al.3 with those of the present investigation.
Square-root correlations:
, T=294°K
Howard et al.
Present investigation
Band μ
wL g/m2
wU g/m2
PEL atm
PEU atm
C
n
wL g/m2
wU g/m2
PEL atm
PEU atm
C
n
5.2
0
150 000
0
1
0.080
0.40
2000
25 000
6
70
0.09
0.1
4.8
0
35 000
0
1
0.33
0.37
2000
25 000
6
70
0.28
0.1
2.7
0
15
0
1
12.8
0.43
64
290
0.5
1
11
0.4
2.0
0
2700
0
1
1.53
0.39
980
6800
1
70
1.45
0.15
1.6
0
200 000
0
1
0.183
0.38
1400
25 000
1
70
0.18
0.1
1.4
0
150 000
0
1
0.205
0.41
1400
25 000
1
70
0.20
0.1
Logarithmic correlations: A=C + D logw+K logPE
Howard et al.
Present investigation
Band μ
wL g/m2
wU g/m2
PEL atm
PEU atm
C
D
K
wL g/m2
wU g/m2
PEL atm
PEU atm
C
D
K
15
20
11 000
0.06
1.0
−1
55
47
64
2000
1.0
10
−15
51
22
Table V
Band limits used for calculation of total absorptivity.
Band μ
Center cm−1
Lower limit cm−1
Upper limit cm−1
15
667
10.4
849
1013
9.4
1013
1141
7.5
1141
1485
5.2
1830
1995
4.8
1995
2169
4.3
2460
2.7
3830
2.0
4400
6000
1.6
6000
6700
1.4
6700
7600
Tables (5)
Table I
Spectral slit widths for Perkin-Elmer monochromators.
Slit width used in present investigation.
Slit width used in investigation of Bernsen.9
Slit width used in investigation of Howard et al.3
Table II
Experimental data.
T K
w gm/m2
P atm
A cm−1
15-μ band
294
24 500
10.4
1.00
237
13 000
9.9
0.56
217
11 800
5.0
1.00
209
7040
9.9
1.00
203
5550
9.9
0.237
193
4730
2.00
1.00
185
3470
4.9
1.00
183
2440
10.0
0.103
177
2360
1.00
1.00
163
2360
1.00
1.00
164
2360
1.00
1.00
169
2360
1.00
1.00
167
2360
1.00
1.00
167
1420
2.00
1.00
160
1320
1.00
0.56
154
1240
9.9
0.053
164
1160
0.49
1.00
143
709
1.00
1.00
136
616
4.9
0.053
145
562
1.00
0.237
130
361
0.51
1.00
113
252
2.01
0.053
117
249
1.00
0.105
110
125
1.00
0.053
95
63
0.50
0.053
62
555
3620
9.9
1.00
272
1870
5.0
1.00
247
758
2.02
1.00
217
411
10.0
0.110
204
378
1.01
1.00
183
207
0.99
0.57
162
202
10.1
0.0535
174
183
0.49
1.00
147
81
1.00
0.217
130
41
1.00
0.110
98
20
0.99
0.0535
64
833
2440
10.0
1.00
307
1230
4.9
1.00
275
489
2.00
1.00
253
276
10.1
0.110
227
246
1.00
1.00
219
143
1.01
0.57
186
138
10.1
0.055
194
124
0.50
1.00
178
53
1.00
0.217
133
28
1.00
0.110
110
14
1.00
0.055
91
1110
1870
10.1
1.00
331
936
5.0
1.00
310
374
2.00
1.00
268
200
10.1
0.106
246
187
1.00
1.00
235
94
0.50
1.00
193
94
1.01
0.502
196
38
1.01
0.198
143
20
1.02
0.106
98
1390
1510
10.1
1.00
345
748
5.01
1.00
320
302
2.02
1.00
278
158
10.1
0.105
250
151
1.01
1.00
233
82
10.1
0.054
210
77
1.00
0.512
197
76
0.505
1.00
192
30
1.00
0.198
141
16
1.00
0.105
97
8
1.00
0.054
65
10.4-μ band
294
23 400
9.9
1.00
17
12 900
9.8
0.56
11
11 800
5.0
1.00
8
7040
9.9
1.00
5
5550
9.9
0.237
4.5
4780
2.02
1.00
3
3470
4.9
1.00
3
2450
9.9
0.105
2
2360
1.00
1.00
1
1430
2.01
1.00
2
1320
1.00
0.56
1
1160
0.49
1.00
1
709
1.00
1.00
0.7
555
3660
9.9
1.00
56
1870
5.0
1.00
32
748
2.00
1.00
15
411
10.0
0.110
7
374
1.00
1.00
4
217
1.02
0.57
5
200
10.0
0.0535
7
187
0.50
1.00
3
81
1.00
0.217
2
41
1.00
0.110
2
833
2480
9.9
1.00
106
1290
4.9
1.00
67
489
2.0
1.00
28
279
10.1
0.110
18
249
1.02
1.00
18
141
1.00
0.57
8
138
10.1
0.055
6
129
0.50
1.00
10
54
1.00
0.217
3
1110
1890
10.1
1.00
123
933
5.0
1.00
83
371
2.00
1.00
39
200
10.1
0.106
22
187
1.00
1.00
23
94
1.01
0.502
8
93
0.50
1.00
11
38
1.01
0.198
3
20
1.00
0.106
1
1390
1510
10.1
1.00
127
748
5.0
1.00
86
302
2.02
1.00
42
158
10.1
0.105
22
151
1.01
1.00
22
81
10.1
0.054
11
78
1.01
0.514
10
73
0.49
1.00
12
30
1.01
0.198
5
16
1.00
0.105
2
9.4-μ band
294
23 400
9.9
1.00
23
12 900
9.8
0.56
12
11 800
5.0
1.00
12
7040
9.9
1.00
10
5550
9.9
0.237
3
4780
2.02
1.00
4.6
3470
4.9
1.00
3.6
2450
9.9
0.105
2.9
2360
1.00
1.00
3
1430
2.01
1.00
4.5
1320
1.00
0.56
0.5
1160
0.49
1.00
1
709
1.00
1.00
0.7
555
3660
9.9
1.00
53
1870
5.0
1.00
35
748
2.00
1.00
16
411
10.0
0.110
9
374
1.00
1.00
5.9
217
1.02
0.57
5.1
200
10.0
0.0535
5
187
0.50
1.00
3.7
81
1.00
0.217
0
41
1.00
0.110
0
833
2480
9.9
1.00
77
1290
4.9
1.00
56
489
2.0
1.00
30
279
10.1
0.110
17
249
1.02
1.00
17
141
1.00
0.57
8.4
138
10.1
0.055
8
129
0.50
1.00
9
54
1.00
0.217
4
1110
1890
10.1
1.00
87
933
5.0
1.00
64
371
2.00
1.00
34
200
10.1
0.106
21
187
1.00
1.00
19
94
1.01
0.502
10
93
0.50
1.00
10
38
1.01
0.198
4
20
1.00
0.106
2
1390
1510
10.1
1.00
91
748
5.0
1.00
68
302
2.02
1.00
37
158
10.1
0.105
22
151
1.01
1.00
20
81
10.1
0.054
11
78
1.01
0.514
9
73
0.49
1.00
11
30
1.01
0.198
6
16
1.00
0.105
2
7.5-μ band
294
23 600
10.0
1.00
44
23 400
9.9
1.00
43
11 800
5.0
1.00
13
3550
5.0
1.00
5
5.2-μ band
294
23 400
9.9
1.00
22
12 900
9.8
0.56
12
11 800
5.0
1.00
14
7040
9.9
1.00
10
5550
9.9
0.237
7
4780
2.02
1.00
3.5
3470
4.9
1.00
12
2450
9.9
0.105
3
2360
1.00
1.00
3
2360
1.00
1.00
2.6
1430
2.01
1.00
4
1320
1.00
0.56
2
1280
10.0
0.054
1
1280
9.9
0.054
1
709
1.00
1.00
2
560
1.00
0.237
0.5
4.8-μ band
294
23 400
9.9
1.00
70
23 400
9.9
1.00
67
13 000
9.8
0.56
46
11 800
5.0
1.00
46
7040
9.9
1.00
48
5550
9.9
0.237
26
4780
2.02
1.00
20
3470
4.9
1.00
36
2450
9.9
0.105
15.5
2360
1.00
1.00
14
2360
1.00
1.00
14
1430
2.01
1.00
14
1320
1.00
0.56
9
1280
9.9
0.054
10.5
1160
0.49
1.00
8
709
1.00
1.00
6
641
5.0
0.054
5
641
5.0
0.054
5
592
0.25
1.00
3.5
560
1.00
0.237
5
357
0.50
1.00
3
249
1.00
0.105
2
177
0.25
1.00
2.7
4.3-μ band
294
23 400
9.9
1.00
319
23 400
9.9
1.00
323
13 000
9.8
0.56
289
11 800
5.0
1.00
268
7040
9.9
1.00
287
5550
9.9
0.237
236
4780
2.02
1.00
217
3470
4.9
1.00
237
2450
9.9
0.105
217
2360
1.00
1.00
188
2360
1.00
1.00
183
1430
2.01
1.00
196
1320
1.00
0.56
173
1280
9.9
0.054
199
1160
0.49
1.00
158
709
1.00
1.00
165
641
5.0
0.054
173
641
5.0
0.054
171
592
0.25
1.00
140
560
1.00
0.237
157
357
0.50
1.00
143
249
2.02
0.054
148
256
1.00
0.105
145
177
0.25
1.00
125
128
1.00
0.054
128
64
0.50
0.054
110
555
3660
9.9
1.00
303
1870
5.0
1.00
247
748
2.00
1.00
217
411
10.0
0.110
192
374
1.00
1.00
184
217
1.02
0.57
176
200
10.0
0.0535
191
187
0.50
1.00
162
81
1.00
0.217
154
41
1.00
0.110
146
20
1.00
0.0535
132
833
2480
9.9
1.00
326
1290
4.9
1.00
284
489
2.00
1.00
244
279
10.1
0.110
240
249
1.02
1.00
223
141
1.00
0.57
211
129
0.50
1.00
205
54
1.00
0.217
193
27
1.00
0.110
181
14
1.00
0.055
164
1110
1890
10.1
1.00
362
933
5.0
1.00
326
371
2.00
1.00
282
200
10.1
0.106
267
187
1.00
1.00
260
94
1.01
0.502
241
93
0.50
1.00
240
38
1.01
0.198
214
20
1.00
0.106
197
1390
1510
10.1
1.00
397
748
5.0
1.00
360
302
2.02
1.00
327
158
10.1
0.105
296
151
1.01
1.00
300
81
10.1
0.054
274
81
10.1
0.054
275
78
1.01
0.514
277
73
0.49
1.00
272
30
1.01
0.198
251
16
1.00
0.105
221
8.3
1.00
0.054
197
2.7-μ band
294
23 400
9.9
1.00
366
23 400
9.9
1.00
351
13 000
9.8
0.56
317
11 800
5.0
1.00
317
7040
9.9
1.00
338
5550
9.9
0.237
296
4730
2.00
1.00
277
3470
4.9
1.00
277
2450
9.9
0.105
265
2360
1.00
1.00
261
1430
2.01
1.00
246
1320
1.00
0.56
217
1280
9.9
0.054
238
1160
0.49
1.00
211
709
1.00
1.00
208
641
5.0
0.054
221
641
5.0
0.054
208
592
0.25
1.00
155
560
1.00
0.237
209
357
0.50
1.00
169
249
2.02
0.054
170
256
1.00
0.105
169
177
0.25
1.00
112
128
1.00
0.054
119
64
0.50
0.054
73
555
3660
9.9
1.00
343
1870
5.0
1.00
307
748
2.0
1.00
281
411
10.0
0.110
253
374
1.00
1.00
241
217
1.02
0.57
208
200
10.0
0.0535
219
187
0.50
1.00
187
81
1.00
0.217
126
41
1.00
0.110
89
20
1.00
0.0535
56
833
2480
9.9
1.00
387
1290
4.9
1.00
352
489
2.00
1.00
325
279
10.1
0.110
289
249
1.02
1.00
269
141
1.00
0.57
244
138
10.1
0.055
236
129
0.50
1.00
196
54
1.00
0.217
120
29
1.00
0.055
83
14
1.00
0.055
66
1110
1890
0.50
0.054
415
933
5.0
1.00
388
371
2.00
1.00
342
200
10.1
0.106
323
187
1.00
1.00
280
94
1.01
0.502
228
93
0.50
1.00
193
38
1.01
0.198
112
20
1.00
0.106
105
1390
1510
10.1
1.00
472
748
5.0
1.00
443
302
2.02
1.00
392
158
10.1
0.105
329
151
1.01
1.00
308
81
10.1
0.054
247
81
10.1
0.054
245
78
1.01
0.514
216
73
0.49
1.00
214
30
1.01
0.198
125
16
1.00
0.105
96
8.3
1.00
0.054
78
2-μ band
294
23 400
9.9
1.00
270
13 000
9.8
0.56
222
11 800
5.0
1.00
232
7040
9.9
1.00
213
5550
9.9
0.237
152
4730
2.00
1.00
151
3470
4.9
1.00
141
2450
9.9
0.105
107
2360
1.00
1.00
98
1430
2.01
1.00
76
2180
9.9
0.054
67
1160
0.49
1.00
45
709
1.00
1.00
38
641
5.0
0.054
50
641
5.0
0.054
44
560
1.00
0.237
35
357
0.50
1.00
25
249
2.02
0.054
20
256
1.00
0.105
22
128
1.00
0.054
12
64
0.50
0.054
6
555
3660
9.9
1.00
166
1870
5.0
1.00
112
748
2.00
1.00
61
411
10.0
0.110
28
374
1.00
1.00
26
217
1.02
0.57
14
200
10.0
0.0535
18
187
0.50
1.00
13
81
1.00
0.217
7
833
2480
9.9
1.00
168
1290
4.9
1.00
103
489
2.00
1.00
55
279
10.1
0.110
23
249
1.02
1.00
24
141
1.00
0.57
15
138
10.1
0.0555
10
129
0.50
1.00
16
1110
1890
10.1
1.00
197
933
5.0
1.00
103
371
2.00
1.00
41
200
10.1
0.106
21
187
1.00
1.00
23
94
1.01
0.502
11
93
0.50
1.00
8
1390
1510
10.1
1.00
177
748
5.0
1.00
93
302
2.02
1.00
37
158
10.1
0.105
15
151
1.01
1.00
15
78
1.01
0.514
8
73
0.49
1.00
4
1.6-μ band
294
23 400
9.9
1.00
41
13 000
9.8
0.56
17
11 800
5.0
1.00
21
5550
9.9
0.237
12
4730
2.00
1.00
14
1.4-μ band
294
23 400
9.9
1.00
51
13 000
9.8
0.56
29
11 800
5.0
1.00
32
5550
9.9
0.237
17
4730
2.00
1.00
15
Table III
Empirical correlation functions for the band absorption of carbon dioxide gas.a
Band
Band strength
PEL atm
PEU atm
T K
wL g/m2
wU g/m2
Band absorption, A cm−1
Uncertainty ±ΔA cm−1
15 μ
Strong
2.5
70
294
2000
25 000
69w0.11PE0.03
6
555
390
3600
102w0.11PE0.02
6
833
390
2400
123w0.11PE0.01
6
1110
370
1850
139w0.11PE0.01
7
1390
290
1500
153w0.11
7
Medium
1.0
10
294
64
2000
−15+51 log10w+22 log10PE
5
555
20
390
−36+82 log10w+19 log10PE
5
833
15
390
−57+112 log10w+12 log10PE
4
1110
10
370
−73+135 log10w+7 log10PE
4
1390
10
290
−85+152 log10w
4
10.4 μ
Medium
20
70
555
1850
3700
0.95w0.50
2
833
1270
2500
2.0w0.50
2
1110
930
1900
2.8w0.50
3
1390
730
1500
32w0.50
3
Weak
1.0
20
294
0
25 000
0.0008w
2
555
0
1850
0.018w
2
833
0
1270
0.061w
2
1110
0
930
0.102w
3
1390
0
730
0.141w
3
9.4 μ
Medium
20
70
555
1850
3700
0.9w0.50
2
833
1270
2500
1.5w0.50
2
1110
930
1900
2.0w0.50
3
1390
730
1500
2.4w0.50
3
9.4 μ
Weak
1.0
20
294
0
25 000
0.001w
2
555
0
1850
0.020w
2
833
0
1270
0.063 w
2
1110
0
930
0.102w
3
1390
0
730
0.133w
3
7.5 μ
Weak
6
70
294
0
25 000
0.0002wP, x=1.00
4
5.2 μ
Medium
6
70
294
2000
25 000
0.09w0.50PE0.1
2
Weak
1
10
294
0
2000
0.0016w
2
4.8 μ
Medium
6
70
294
2000
25 000
0.28w0.50PE0.1
2
Weak
1
10
294
0
2000
0.0082w
2
4.3 μ
Strong
0.5
70
294
64
25 000
75w0.11PE0.08
7
555
20
3700
93w0.11PE0.05
7
833
15
2400
119w0.11PE0.03
5
1110
20
1900
144w0.11PE0.02
5
1390
10
1500
168w0.11PE0.01
5
2.7 μ
Strong
1
70
294
290
25 000
88w0.12PE0.06
22
555
240
3700
118w0.12PE0.02
22
833
240
2500
148w0.12
17
1110
240
1900
169w0.12
17
1390
240
1500
197w0.12
17
Medium
0.5
1
294
64
290
11w0.50PE0.40
22
1
10
555
20
240
13.5w0.50PE0.06
22
833
15
240
17w0.50PE0.06
16
1110
20
240
20w0.50PE0.06
16
1390
10
240
24w0.50PE0.06
16
2.0 μ
Strong
20
70
294
6800
25 000
28w0.20PE0.06
15
2.0 μ
Medium
1
70
294
980
6800
1.45w0.50PE0.15
15
555
1850
3700
1.55w0.50PE0.15
15
833
1270
2500
1.75w0.50PE0.15
8
Weak
1
70
294
0
980
0.070w
15
555
0
730
0.082w
15
833
0
490
0.102w
8
1110
0
2000
0.108w
9
1390
0
1500
0.108w
9
1.6 μ
Medium
1
70
294
1400
25 000
0.18w0.30PE0.1
8
1.4 μ
Medium
1
70
294
1400
25 000
0.20w0.50PE0.1
8
Where PEL and PEU are the lower and upper limits, respectively, of the experimental range of validity for the equivalent broadening pressure PE in atm, T is the gas temperature, wL and wU are the lower and upper experimental limits for the mass path length in g/m3, A is the band absorption in cm−1 and ΔA is the estimated uncertainty in a single experimental measurement in cm−1.
Table IV
Comparison of the correlations for medium bands from Howard et al.3 with those of the present investigation.
Square-root correlations:
, T=294°K
Howard et al.
Present investigation
Band μ
wL g/m2
wU g/m2
PEL atm
PEU atm
C
n
wL g/m2
wU g/m2
PEL atm
PEU atm
C
n
5.2
0
150 000
0
1
0.080
0.40
2000
25 000
6
70
0.09
0.1
4.8
0
35 000
0
1
0.33
0.37
2000
25 000
6
70
0.28
0.1
2.7
0
15
0
1
12.8
0.43
64
290
0.5
1
11
0.4
2.0
0
2700
0
1
1.53
0.39
980
6800
1
70
1.45
0.15
1.6
0
200 000
0
1
0.183
0.38
1400
25 000
1
70
0.18
0.1
1.4
0
150 000
0
1
0.205
0.41
1400
25 000
1
70
0.20
0.1
Logarithmic correlations: A=C + D logw+K logPE
Howard et al.
Present investigation
Band μ
wL g/m2
wU g/m2
PEL atm
PEU atm
C
D
K
wL g/m2
wU g/m2
PEL atm
PEU atm
C
D
K
15
20
11 000
0.06
1.0
−1
55
47
64
2000
1.0
10
−15
51
22
Table V
Band limits used for calculation of total absorptivity.