CARS spectrum of high temperature CO<sub>2</sub>: analysis and simulation

N. Papineau; M. Péalat

doi:10.1364/AO.24.003002

Applied Optics
Vol. 24,
Issue 18,
pp. 3002-3009
(1985)
•https://doi.org/10.1364/AO.24.003002

CARS spectrum of high temperature CO₂: analysis and simulation

N. Papineau and M. Péalat

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N. Papineau and M. Péalat, "CARS spectrum of high temperature CO₂: analysis and simulation," Appl. Opt. 24, 3002-3009 (1985)

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Abstract

A CARS spectrum of natural CO₂ has been recorded in the 1210–1520-cm⁻¹ range at 800 K with a resolution of 0.07 cm⁻¹. Assignments have been made for the Q branches of 46 hot bands; O and S rotational lines have also been observed for several bands. A theoretical calculation of line positions and intensities has been performed with due account for the motional narrowing which affects all the Q branches. As a result, the centers of five hot bands originating from highly excited states have been improved. Finally, excellent agreement between experimental and theoretical spectra has been obtained.

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	Calculated band center	${υ^{'}}_{1} {υ^{'}}_{2} l^{'} {υ^{'}}_{3} r^{'} - υ_{1} υ_{2} l υ_{3} r$		J_max	Number of assigned lines
1	1511.727	20001–10002
2	1461.323	15501–05501
3	1450.653	14401–04401
4	1448.021	23301–13301
5	1439.011	13301–03301
6	1437.710	31101–21101
7	1436.688	22201–12201
8	1436.548	23302–13302
9	1427.974	30001–20001
10	1425.594	12201–02201		O69–S49	26
11	1423.819	21101–11101
12	1422.869	22202–12202
13	1414.110	31102–21102
14	1409.47	11101–01101		O67–S60	100
15	1408.95	20001–10001		O44–S2	18
16	1406.869	21102–11102
17	1394.124	30003–20003
18	1392.762	30002–20002
19	1388.185	10001–00001		O64–S78	68
20	1386.616	11111–01111
21	1385.737	20002–10002		O42–S50	18
22	1372.297	10001–00001	627
23	1370.065	10001–00001	636
24	1365.844	10001–00001	628
25	1365.640	10011–00011
26	1285.409	10002–00001		O80–S72	68
27	1282.961	20002–10001		O76–S46	27
28	1271.346	30003–20002
29	1265.091	11102–01101		O68–S70	82
30	1263.698	10012–00011
31	1262.959	20003–10002		O60–S48	33
32	1262.484	21102–11101		O61	9
33	1259.426	10002–00001	628
34	1252.775	31102–21101
35	1251.778	31103–21102
36	1249.900	12202–02201		O57–S55	48
37	1248.979	21102–11102		O57	34
38	1247.176	22202–12201
39	1244.334	30004–20003
40	1243.693	11112–01111
41	1239.374	11102–01101	628
42	1237.318	13302–03301		O49–S57	14
43	1236.952	22203–12202		O47	5
44	1234.700	31104–21103
45	1226.405	14402–04401
46	1217.386	15502–05501

S = 2υ₁ + υ₂	υ₃
2	0	02201
		10002, 10001
3	0	03301
		11102, 11101
1	1	00011
4		04401
	0	12202, 12201
		20003, 20002, 20001
1	1	01111
5		05501
	0	13302, 13301
		21103, 21102, 21101
		02211
2	1	10012, 10011
6		06601
	0	14402, 14401
		22203, 22202, 22201
		30004, 30003, 30002, 30001
3	1	03311
		11112, 11111
0	2	00021
7		07701^a
		15502,^a 15501^a
	0	23303,^a 23302,^a 23301^a
		31104, 31103, 31102, 31101
4		04411
	1	12212, 12211
		20013, 20012, 20011
1	2	01121

Level or polyad	J_max	E_max (cm⁻¹)
$01101_{f}^{e}$	110	667.379
$11101_{f}^{e}$	90	2076.855
(2υ₁ + υ₂ = 3, υ₃ = 0)
$21101_{f}^{e}$	60	3500.590
(2υ₁ + υ₂ = 5, υ₃ = 0)

Level or polyad	J_max
$01101_{f}^{e}$	90
10001	60
(2υ₁ + υ₂ = 2, υ₃ = 0)

Transition	Band center	Band center^a
15502–05501	1217.386^b	1217.29
14402–04401	1226.405^c	1226.61
23301–13301	1448.02^b	1447.88
14401–04401	1450.653^c	1450.51
15501–05501	1461.335^b	1460.80

Abstract

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Figures (6)

Tables (5)

Equations (11)

Applied Optics