Absorption by Infrared Bands of Carbon Dioxide Gas at Elevated Pressures and Temperatures*

D. K. Edwards

doi:10.1364/JOSA.50.000617

Journal of the Optical Society of America
Vol. 50,
Issue 6,
pp. 617-626
(1960)
•https://doi.org/10.1364/JOSA.50.000617

Absorption by Infrared Bands of Carbon Dioxide Gas at Elevated Pressures and Temperatures

D. K. Edwards

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D. K. Edwards, "Absorption by Infrared Bands of Carbon Dioxide Gas at Elevated Pressures and Temperatures*," J. Opt. Soc. Am. 50, 617-626 (1960)

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Abstract

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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Wavelength μ	Wave number cm⁻¹	Prism	Monochromator type	Mechanical slit width mm	Spectral slit width cm⁻¹
15	667	KBr	Single pass	2.000	33^a
				0.700	12
				0.275	5^b
			Double pass	2.000	16^c
10	1000	NaCl	Single pass	2.000	38^a
				1.000	19^a
6.3	1600	NaCl	Double pass	2.000	76^c
				0.250	10
4.3	2300	NaCl	Single pass	1.000	240
				0.500	122
				0.250	61^a
				0.028	9^b
		CaF₂	Double pass	2.000	54^c
2.7	3700	NaCl	Single pass	0.250	175^a
				0.019	19^b
		LiF	Double pass	2.000	54^c
		CaF₂	Double pass	2.000	203
				0.300	33
2.0	5000	NaCl	Single pass	0.250	246^a
				0.019	19^b
		LiF	Double pass	2.000	225^c
1.4	7000	NaCl	Single pass	0.250	256^a
				0.150	156^a
		LiF	Double pass	2.000	301^b

Band	Band strength	P_EL atm	P_EU atm	T K	w_L g/m²	w_U g/m²	Band absorption, A cm⁻¹	Uncertainty ±ΔA cm⁻¹
15 μ	Strong	2.5	70	294	2000	25 000	69w^0.11P_E^0.03	6
				555	390	3600	102w^0.11P_E^0.02	6
				833	390	2400	123w^0.11P_E^0.01	6
				1110	370	1850	139w^0.11P_E^0.01	7
				1390	290	1500	153w^0.11	7
	Medium	1.0	10	294	64	2000	−15+51 log₁₀w+22 log₁₀P_E	5
				555	20	390	−36+82 log₁₀w+19 log₁₀P_E	5
				833	15	390	−57+112 log₁₀w+12 log₁₀P_E	4
				1110	10	370	−73+135 log₁₀w+7 log₁₀P_E	4
				1390	10	290	−85+152 log₁₀w	4
10.4 μ	Medium	20	70	555	1850	3700	0.95w^0.50	2
				833	1270	2500	2.0w^0.50	2
				1110	930	1900	2.8w^0.50	3
				1390	730	1500	32w^0.50	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	0.9w^0.50	2
				833	1270	2500	1.5w^0.50	2
				1110	930	1900	2.0w^0.50	3
				1390	730	1500	2.4w^0.50	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	0.09w^0.50P_E^0.1	2
	Weak	1	10	294	0	2000	0.0016w	2
4.8 μ	Medium	6	70	294	2000	25 000	0.28w^0.50P_E^0.1	2
	Weak	1	10	294	0	2000	0.0082w	2
4.3 μ	Strong	0.5	70	294	64	25 000	75w^0.11P_E^0.08	7
				555	20	3700	93w^0.11P_E^0.05	7
				833	15	2400	119w^0.11P_E^0.03	5
				1110	20	1900	144w^0.11P_E^0.02	5
				1390	10	1500	168w^0.11P_E^0.01	5
2.7 μ	Strong	1	70	294	290	25 000	88w^0.12P_E^0.06	22
				555	240	3700	118w^0.12P_E^0.02	22
				833	240	2500	148w^0.12	17
				1110	240	1900	169w^0.12	17
				1390	240	1500	197w^0.12	17
	Medium	0.5	1	294	64	290	11w^0.50P_E^0.40	22
		1	10	555	20	240	13.5w^0.50P_E^0.06	22
				833	15	240	17w^0.50P_E^0.06	16
				1110	20	240	20w^0.50P_E^0.06	16
				1390	10	240	24w^0.50P_E^0.06	16
2.0 μ	Strong	20	70	294	6800	25 000	28w^0.20P_E^0.06	15
2.0 μ	Medium	1	70	294	980	6800	1.45w^0.50P_E^0.15	15
				555	1850	3700	1.55w^0.50P_E^0.15	15
				833	1270	2500	1.75w^0.50P_E^0.15	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	0.18w^0.30P_E^0.1	8
1.4 μ	Medium	1	70	294	1400	25 000	0.20w^0.50P_E^0.1	8

Square-root correlations: $A = C w^{\frac{1}{2}} {P_{E}}^{n}$ , T=294°K
	Howard et al.						Present investigation
Band μ	w_L g/m²	w_U g/m²	P_EL atm	P_EU atm	C	n	w_L g/m²	w_U g/m²	P_EL atm	P_EU 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 logP_E
	Howard et al.							Present investigation
Band μ	w_L g/m²	w_U g/m²	P_EL atm	P_EU atm	C	D	K	w_L g/m²	w_U g/m²	P_EL atm	P_EU atm	C	D	K
15	20	11 000	0.06	1.0	−1	55	47	64	2000	1.0	10	−15	51	22

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

T K	w gm/m²	P atm	$x \frac{mole {CO}_{2}}{mole mix}$	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

Abstract

Cited By

Figures (8)

Tables (5)

Equations (14)

Journal of the Optical Society of America