Carbon dioxide spectral line frequencies for the 4.3-μm region

P. L. Roney; F. D. Findlay; H. L. Buijs; M. W. P. Cann; R. W. Nicholls

doi:10.1364/AO.17.002599

Applied Optics
Vol. 17,
Issue 16,
pp. 2599-2604
(1978)
•https://doi.org/10.1364/AO.17.002599

Carbon dioxide spectral line frequencies for the 4.3-μm region

P. L. Roney, F. D. Findlay, H. L. Buijs, M. W. P. Cann, and R. W. Nicholls

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P. L. Roney, F. D. Findlay, H. L. Buijs, M. W. P. Cann, and R. W. Nicholls, "Carbon dioxide spectral line frequencies for the 4.3-μm region," Appl. Opt. 17, 2599-2604 (1978)

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Abstract

The frequencies of CO₂ lines in the 3.77–4.26-μm region, which were obtained experimentally, have been compared with those listed on two tapes of the AFCRL Atmospheric Absorption Line Parameters Compilation. The experimental line frequencies were obtained in absorption using a high-resolution Michelson interferometer. Discrepancies between the present experimental values and the frequencies listed on the AFCRL tapes are tabulated. Consistency checks were also made by comparing calculated line frequencies with those on the tapes, and these findings are also reported.

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Tables (7)

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Isotope	Transition		Band origin^a (cm⁻¹)	Wavenumber discrepancies (cm⁻¹)	Probable cause
Isotope	Upper	Lower	Band origin^a (cm⁻¹)	Wavenumber discrepancies (cm⁻¹)	Probable cause
626	00011	00001	2349.146	−0.017 (R110)	B′, D′
626	03311	03301	2311.675	+0.136 (P82)	D″
626	10011	10001	2326.594	−0.045 (R92)	B″, D″
626	10012	10001	2224.647	−0.010 (all)	Band origin^b
626	10012	10002	2327.432	−0.063 (P92)	B″, D″
626	13311	13301	2288.352	−0.010 (all)	Band origin^b
626	20002	01101	2003.734	Q-branch query	Constants mixed^c
626	21101	10001	2112.461	+0.058 (all)	Band origin^b
628	20001	01101	2094.861	+0.079 (P46)	Constants^d
628	12212	12202	2287.205	Q-branch query	Note^e
636	01111	01101	2271.763	+0.032 (P88)	B′, D′
636	11112	11102	2250.744	Not checked	No constants^f
636	02211	02201	2260.045	Not checked	No constants^f
636	00011	00001	2283.490	−0.246 (P96)	Constants
636	11111	11102	Absent	Not checked	No constants^f
637	01111	01101	2262.66	−10.0 (all)	Band origin^b
637	02211	02201	2251.01	Not checked	No constants^f
637	10011	10001	2253.53	Not checked	No constants^f
637	10012	10002	2253.24	Not checked	No constants^f
638	02211	02201	2242.73	Q-branch query	Note^e
828	01111	01101	2301.73	+0.160 (P62D)	Constants^g

J″	Wavenumbers (cm⁻¹)
J″	1. AFCRL compilation	2. Experiment (this study)	Difference 2 − 1	Adjusted (see Note)
2	2427.800	2427.844	0.044	2427.838
4	2426.204	2426.229	0.025	2426.242
6	2424.580	2424.593	0.013	2424.618
8	2422.930	2422.984	0.054	2422.968
10	2421.252	2421.294	0.042	2421.290
12	2419.546	2419.580	0.034	2419.584
14	2417.814	2417.836	0.022	2417.852
16	2416.055	2416.100	0.045	2416.093
18	2414.270	2414.324	0.054	2414.308
20	2412.457	2412.498	0.041	2412.495
22	2410.619	2410.648	0.029	2410.657
24	2408.754	2408.787	0.033	2408.792
26	2406.864	2406.899	0.035	2406.902
28	2404.947	2404.988	0.041	2404.985
30	2403.006	2403.057	0.051	2403.044
Mean difference = 0.0375 ± 0.012 cm⁻¹
Note: The error sum of squares for least squares fits to the differences between the experimental and AFCRL wavenumbers (differences 2 − 1, in table) are:
Experimental differences			0.00198	(cm⁻¹)²
Least squares fit, degree 1			0.00186
Least squares fit, degree 2			0.00186
Least squares fit, degree 3			0.00184
The adjusted wavenumbers (last column of the table) were obtained by adding the mean difference (0.0375) to the AFCRL compilation wavenumbers.

J″	Wavenumbers (cm⁻¹)
J″	1. AFCRL compilation	2. Experiment (this study)	Difference 2 − 1	Adjusted (see Note)
6	2434.644	2434.694		0.050	2434.680
8	2436.089	2436.135		0.046	2436.125
10	2437.507	2437.538		0.031	2437.543
12	2438.897	2438.943		0.046	2438.933
14	2440.260	2440.285		0.025	2440.296
16	2441.597	2441.616		0.019	2441.633
18	2442.906	2442.924		0.018	2442.942
20	2444.188	2444.219		0.031	2444.224
22	2445.443	2445.458		0.015	2445.479
24	2446.672	2446.709		0.037	2446.708
26	2447.874	2447.941		0.067	2447.910
28	2449.050	2449.082		0.032	2449.086
30	2450.200	2450.242		0.042	2450.236
32	2451.324	2451.350		0.026	2451.360
34	2452.423	2452.447		0.024	2452.459
36	2453.496	2453.526		0.030	2453.532
38	2454.544	2454.586		0.042	2454.580
40	2455.568	2455.615		0.047	2455.604
42	2456.567	2456.620		0.053	2456.603
44	2457.541	2457.570		0.029	2457.577
Mean difference = 0.0355 ± 0.0133
Note: The error sum of squares for least squares fits to the differences between the experimental and AFCRL wavenumbers (differences 2 − 1, in table) are:
Experimental differences			0.00339			(cm⁻¹)²
Least squares fit, degree 1			0.00337
Least squares fit, degree 2			0.00303
Least squares fit, degree 3			0.00269
The adjusted wavenumbers (last column of the table) were obtained by adding the mean difference (0.0355) to the AFCRL compilation wavenumbers.

J″	Wavenumbers (cm⁻¹)
J″	1. AFCRL compilation	2. Experiment (this study)	Difference 2 − 1		3. Adjusted (see Note)		Difference 3 − 1
9	2494.171	2494.201	0.030		2494.204		0.0329
10	2493.440	2493.484	0.044		2493.481		0.0401
11	2492.709	2492.754	0.045		2492.755		0.0464
12	2491.980	2492.030	0.050		2492.032		0.0518
13	2491.251	2491.317	0.066		2491.307		0.0564
14	2490.522	2490.587	0.065		2490.582		0.0600
15	2489.794	2489.854	0.050		2489.857		0.0628
16	2489.066	2489.122	0.056		2489.131		0.0647
17	2488.339	2488.402	0.063		2488.405		0.0657
18	2487.613	2487.686	0.073		2487.679		0.0658
19	2486.887	2486.961	0.074		2486.952		0.0651
20	2486.162	2486.228	0.066		2486.225		0.0634
21	2485.437	2485.491	0.054		2485.498		0.0609
Mean difference = 0.0566 ± 0.0128
Note: The error sum of squares for least squares fits to the differences between the experimental and AFCRL wavenumbers (differences 2 − 1, in table) are:
Experimental differences				0.00196		(cm⁻¹)²
Least squares fit, degree 1				0.000967
Least squares fit, degree 2				0.000579
Least squares fit, degree 3				0.000576
The adjusted wavenumbers (penultimate column of the table) were obtained by adding the differences from the least squares fit of degree 2 (shown in the last column) to the AFCRL compilation wavenumbers.

J″	Wavenumbers (cm⁻¹)
J″	1. AFCRL compilation	2. Experiment (this study)	Difference 2 − 1		Adjusted (see Note)
5	2505.206	2505.273	0.067		2505.276
6	2505.947	2505.993	0.046		2506.017
7	2506.688	2506.782	0.094		2506.758
8	2507.429	2507.465	0.036		2507.499
9	2508.171	2508.263	0.092		2508.241
10	2508.914	2508.995	0.081		2508.984
11	2509.657	2509.723	0.066		2509.727
12	2510.401	2510.471	0.070		2510.471
13	2511.145	2511.207	0.062		2511.215
14	2511.889	2511.965	0.076		2511.959
15	2512.634	2512.714	0.080		2512.704
16	2513.380	2513.450	0.070		2513.450
17	2514.126	2514.197	0.071		2514.196
18	2514.872	2514.936	0.064		2514.942
19	2515.619	2515.687	0.068		2515.689
20	2516.366	2516.438	0.072		2516.436
21	2517.113	2517.191	0.078		2517.183
22	2517.861	2517.933	0.072		2517.931
23	2518.609	2518.669	0.060		2518.679
24	2519.358	2519.413	0.055		2519.428
25	2520.106	2520.186	0.080		2520.176
26	2520.855	2520.926	0.071		2520.925
27	2521.604	2521.676	0.072		2521.674
28	2522.354	2522.416	0.062		2522.424
29	2523.103	2523.209	0.106		2523.173
30	2523.853	2523.934	0.081		2523.923
31	2524.603	2524.662	0.059		2524.673
32	2525.353	2525.422	0.069		2525.423
33	2526.103	2526.142	0.039		2526.173
34	2526.853	2526.959	0.106		2526.923
35	2527.603	2527.682	0.079		2527.673
36	2528.353	2528.411	0.058		2528.423
37	2529.103	2529.148	0.045		2529.173
Mean difference = 0.0699 ± 0.0162
Note: The error sum of squares for least squares fits to the differences between the experimental and AFCRL wavenumbers (differences 2 − 1, in table) are:
Experimental differences				0.00839	(cm⁻¹)²
Least squares fit, degree 1				0.00839
Least squares fit, degree 2				0.00818
Least squares fit, degree 3				0.00813
The adjusted wavenumbers (last column in the table) were obtained by adding the mean difference (0.070) to the AFCRL compilation wavenumbers.

J″	Wavenumbers (cm⁻¹)
J″	1. AFCRL compilation	2. Experiment (this study)	Difference 2 − 1	3. Adjusted (see Note)	Difference 3 − 1
4	2611.285	2611.368	0.083	2611.381	0.0955
5	2610.546	2610.614	0.068	2610.639	0.0926
6	2609.806	2609.910	0.104	2609.896	0.0897
7	2609.066	2609.151	0.085	2609.153	0.0868
8	2608.325	2608.388	0.063	2608.409	0.0839
9	2607.583	2607.630	0.047	2607.664	0.0810
10	2606.840	2606.922	0.082	2606.918	0.0782
11	2606.097	2606.185	0.088	2606.172	0.0753
12	2605.353	2605.423	0.070	2605.425	0.0724
13	2604.608	2604.685	0.077	2604.678	0.0695
14	2603.863	2603.931	0.068	2603.930	0.0666
15	2603.117	2603.182	0.065	2603.181	0.0637
16	2602.370	2602.431	0.061	2602.431	0.0608
17	2601.623	2601.693	0.070	2601.681	0.0579
18	2600.875	2600.925	0.050	2600.930	0.0550
19	2600.127	2600.193	0.066	2600.179	0.0522
20	2599.377	2599.439	0.062	2599.426	0.0493
21	2598.628	2598.683	0.055	2598.674	0.0464
22	2597.877	2597.923	0.046	2597.921	0.0435
23	2597.126	2597.174	0.048	2597.167	0.0406
24	2596.374	2596.422	0.048	2596.412	0.0377
25	2595.622	2595.686	0.064	2595.657	0.0348
26	2594.869	2594.904	0.035	2594.901	0.0319
27	2594.116	2594.153	0.037	2594.145	0.0290
28	2593.362	2593.390	0.028	2593.388	0.0261
29	2592.607	2592.628	0.021	2592.630	0.0233
30	2591.852	2591.860	0.008	2591.872	0.0204
31	2591.096	2591.120	0.024	2591.114	0.0175
32	2590.340	2590.337	−0.003	2590.356	0.0146
33	2589.583	2589.612	+0.029	2589.595	0.0117
34	2588.826	2588.825	−0.001	2588.835	0.0088
35	2588.068	2588.067	−0.001	2588.074	0.0059
36	2587.309	2587.296	−0.013	2587.312	0.0030
37	2586.550	2586.523	−0.027	2586.551	0.0014
38	2585.791	2585.789	−0.002	2585.788	−0.0028
Mean difference = 0.0464 ± 0.0327 cm⁻¹
Note: The error sum of squares for least squares fits to the differences between the experimental and AFCRL wavenumbers (difference 2 − 1, in table) are:
Experimental differences				0.0363	(cm⁻¹)²
Least squares fit, degree 1				0.00648

J″	Wavenumbers (cm⁻¹)
J″	1. AFCRL compilation	2. Experiment (this study)	Difference 2 − 1		3. Adjusted (see Note)	Difference 3 − 1
3	2617.173	2617.247	0.074		2617.263	0.0904
4	2617.906	2617.999	0.093		2617.994	0.0872
5	2618.638	2618.713	0.075		2618.722	0.0841
6	2619.369	2619.445	0.076		2619.450	0.0809
7	2620.100	2620.176	0.076		2620.178	0.0778
8	2620.830	2620.896	0.066		2620.905	0.0746
9	2621.559	2621.630	0.071		2621.630	0.0714
10	2622.287	2622.350	0.063		2622.355	0.0683
11	2623.015	2623.077	0.062		2623.080	0.0651
12	2623.742	2623.788	0.046		2623.804	0.0620
13	2624.468	2624.526	0.058		2624.527	0.0588
14	2625.193	2625.250	0.057		2625.249	0.0556
15	2625.918	2625.976	0.058		2625.971	0.0525
16	2626.642	2626.704	0.062		2626.691	0.0493
17	2627.365	2627.420	0.055		2627.411	0.0462
18	2628.088	2628.151	0.063		2628.131	0.0430
19	2628.809	2628.867	0.058		2628.849	0.0398
20	2629.530	2629.588	0.058		2629.567	0.0367
21	2630.251	2630.303	0.052		2630.285	0.0335
22	2630.970	2631.011	0.041		2631.000	0.0304
23	2631.689	2631.722	0.033		2631.716	0.0272
24	2632.407	2632.435	0.028		2632.431	0.0240
25	2633.125	2633.147	0.022		2633.146	0.0209
26	2633.841	2633.870	0.029		2633.859	0.0177
27	2634.557	2634.559	0.002		2634.572	0.0146
28	2635.272	2635.267	−0.005		2635.283	0.0114
29	2635.987	2635.976	−0.011		2635.995	0.0083
30	2636.701	2636.703	+0.002		2636.706	0.0051
31	2637.414	2637.382	−0.032		2637.416	0.0019
32	2638.126	2638.112	−0.014		2638.125	−0.0012
33	2638.838	2638.829	−0.009		2638.834	−0.0044
34	2639.549	2639.550	+0.001		2639.541	−0.0075
35	2640.259	2640.260	+0.001		2640.248	−0.0107
Mean difference = 0.0398 ± 0.0331 cm⁻¹
Note: The error sum of squares for least squares fits to the differences between the experimental and AFCRL wavenumbers (difference 2 − 1, in table) are:
Experimental differences				0.0352		(cm⁻¹)²
Least squares fit, degree 1				0.00528
Least squares fit, degree 2				0.00432
Least squares fit, degree 3				0.00416

J″	Wavenumbers (cm⁻¹)
J″	1. AFCRL compilation	2. Experiment (this study)	Difference 2 − 1	3. Adjusted (see Note)	Difference 3 − 1
4	2611.285	2611.368	0.083	2611.381	0.0955
5	2610.546	2610.614	0.068	2610.639	0.0926
6	2609.806	2609.910	0.104	2609.896	0.0897
7	2609.066	2609.151	0.085	2609.153	0.0868
8	2608.325	2608.388	0.063	2608.409	0.0839
9	2607.583	2607.630	0.047	2607.664	0.0810
10	2606.840	2606.922	0.082	2606.918	0.0782
11	2606.097	2606.185	0.088	2606.172	0.0753
12	2605.353	2605.423	0.070	2605.425	0.0724
13	2604.608	2604.685	0.077	2604.678	0.0695
14	2603.863	2603.931	0.068	2603.930	0.0666
15	2603.117	2603.182	0.065	2603.181	0.0637
16	2602.370	2602.431	0.061	2602.431	0.0608
17	2601.623	2601.693	0.070	2601.681	0.0579
18	2600.875	2600.925	0.050	2600.930	0.0550
19	2600.127	2600.193	0.066	2600.179	0.0522
20	2599.377	2599.439	0.062	2599.426	0.0493
21	2598.628	2598.683	0.055	2598.674	0.0464
22	2597.877	2597.923	0.046	2597.921	0.0435
23	2597.126	2597.174	0.048	2597.167	0.0406
24	2596.374	2596.422	0.048	2596.412	0.0377
25	2595.622	2595.686	0.064	2595.657	0.0348
26	2594.869	2594.904	0.035	2594.901	0.0319
27	2594.116	2594.153	0.037	2594.145	0.0290
28	2593.362	2593.390	0.028	2593.388	0.0261
29	2592.607	2592.628	0.021	2592.630	0.0233
30	2591.852	2591.860	0.008	2591.872	0.0204
31	2591.096	2591.120	0.024	2591.114	0.0175
32	2590.340	2590.337	−0.003	2590.356	0.0146
33	2589.583	2589.612	+0.029	2589.595	0.0117
34	2588.826	2588.825	−0.001	2588.835	0.0088
35	2588.068	2588.067	−0.001	2588.074	0.0059
36	2587.309	2587.296	−0.013	2587.312	0.0030
37	2586.550	2586.523	−0.027	2586.551	0.0014
38	2585.791	2585.789	−0.002	2585.788	−0.0028
Mean difference = 0.0464 ± 0.0327 cm⁻¹
Note: The error sum of squares for least squares fits to the differences between the experimental and AFCRL wavenumbers (difference 2 − 1, in table) are:
Experimental differences				0.0363	(cm⁻¹)²
Least squares fit, degree 1				0.00648

J″	Wavenumbers (cm⁻¹)
J″	1. AFCRL compilation	2. Experiment (this study)	Difference 2 − 1		3. Adjusted (see Note)	Difference 3 − 1
3	2617.173	2617.247	0.074		2617.263	0.0904
4	2617.906	2617.999	0.093		2617.994	0.0872
5	2618.638	2618.713	0.075		2618.722	0.0841
6	2619.369	2619.445	0.076		2619.450	0.0809
7	2620.100	2620.176	0.076		2620.178	0.0778
8	2620.830	2620.896	0.066		2620.905	0.0746
9	2621.559	2621.630	0.071		2621.630	0.0714
10	2622.287	2622.350	0.063		2622.355	0.0683
11	2623.015	2623.077	0.062		2623.080	0.0651
12	2623.742	2623.788	0.046		2623.804	0.0620
13	2624.468	2624.526	0.058		2624.527	0.0588
14	2625.193	2625.250	0.057		2625.249	0.0556
15	2625.918	2625.976	0.058		2625.971	0.0525
16	2626.642	2626.704	0.062		2626.691	0.0493
17	2627.365	2627.420	0.055		2627.411	0.0462
18	2628.088	2628.151	0.063		2628.131	0.0430
19	2628.809	2628.867	0.058		2628.849	0.0398
20	2629.530	2629.588	0.058		2629.567	0.0367
21	2630.251	2630.303	0.052		2630.285	0.0335
22	2630.970	2631.011	0.041		2631.000	0.0304
23	2631.689	2631.722	0.033		2631.716	0.0272
24	2632.407	2632.435	0.028		2632.431	0.0240
25	2633.125	2633.147	0.022		2633.146	0.0209
26	2633.841	2633.870	0.029		2633.859	0.0177
27	2634.557	2634.559	0.002		2634.572	0.0146
28	2635.272	2635.267	−0.005		2635.283	0.0114
29	2635.987	2635.976	−0.011		2635.995	0.0083
30	2636.701	2636.703	+0.002		2636.706	0.0051
31	2637.414	2637.382	−0.032		2637.416	0.0019
32	2638.126	2638.112	−0.014		2638.125	−0.0012
33	2638.838	2638.829	−0.009		2638.834	−0.0044
34	2639.549	2639.550	+0.001		2639.541	−0.0075
35	2640.259	2640.260	+0.001		2640.248	−0.0107
Mean difference = 0.0398 ± 0.0331 cm⁻¹
Note: The error sum of squares for least squares fits to the differences between the experimental and AFCRL wavenumbers (difference 2 − 1, in table) are:
Experimental differences				0.0352		(cm⁻¹)²
Least squares fit, degree 1				0.00528
Least squares fit, degree 2				0.00432
Least squares fit, degree 3				0.00416

Abstract

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Figures (4)

Tables (7)

Applied Optics