OH rotational temperature from two-line laser-excited fluorescence

Robert Cattolica

doi:10.1364/AO.20.001156

Applied Optics
Vol. 20,
Issue 7,
pp. 1156-1166
(1981)
•https://doi.org/10.1364/AO.20.001156

OH rotational temperature from two-line laser-excited fluorescence

Robert Cattolica

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Robert Cattolica, "OH rotational temperature from two-line laser-excited fluorescence," Appl. Opt. 20, 1156-1166 (1981)

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Abstract

A two-line laser-excited fluorescence technique has been developed to measure the rotational temperature of the OH molecule. This technique eliminates problems encountered in the application of other laser fluorescence methods for measuring the OH temperature in combustion environments, such as fluorescence trapping, nonequilibrium excited state population, spectral bandwidth sensitivity, and quenching. The technique consists of exciting a specific rotational level of the OH molecule in the A²Σ(υ′ = 0) excited state from two different rotational levels in the X²Π(υ″ = 0) ground state using a tunable dye laser and monitoring the broadband fluorescence. An example of the implementation of this technique in an atmospheric pressure methane–air flat flame is included. The possible application of this technique in turbulent combustion is also evaluated.

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N	ΔE = E(N + 1) − E(N − 1) (cm⁻¹)	$σ (T_{r}); K (\frac{100 σ (T_{r})}{T_{r}}); %$
N	ΔE = E(N + 1) − E(N − 1) (cm⁻¹)	1000 K	2000 K	3000 K
4	341.9	20 (2.0)	80 (4.0)	180 (6.0)
8	624.4	11 (1.1)	44 (2.2)	99 (3.3)
12	898.6	8 (0.8)	32 (1.5)	63 (2.1)
16	1155.9	6 (0.6)	24 (1.2)	54 (1.8)

Line	λ₀ (Å)	v₀ (cm⁻1)	ΔE (cm⁻¹)	B₁₂	+Δv (cm⁻¹)	−Δv (cm⁻¹)
P₁(9)^a	3124	32001.56	624.05	816	2.64	1.53
P₁(7)	3064	32625.61	—	668	2.33	0.50
Q₂₁(9)	3096	32295.14	625.26	62	2.23	4.65
S₂₁(7)	3030	32920.40	—	32	13.88	39.39
P₂(9)^a	3128	31957.20	630.10	781	0.58	2.39
R₂(7)	3068	32587.47	—	714	1.21	1.64
Q₁₂(9)^a	3154	31690.39	616.10	30	1.14	1.07
Q₁₂(7)	3094	32306.49	—	100	7.7	6.82

Laser		Light collection
Pulse energy	50 × 10⁻⁶ J	Ω = 0.188 sr (f/2)
Pulse width	2 × 10⁻⁶ sec	η = 0.2 (quantum efficiency)
Bandwidth	~0.3 cm⁻¹	∊ = 0.2 (light collection efficiency)
Beam diameter	0.025 cm	q = 0.5 and Z_int = 328 at 2000 K
Beam length	0.05 cm	A₂₁ = 1.41 × 10⁶ sec⁻¹ (Ref. 15)
$\begin{array}{l} I_{21} & = 57 \frac{ergs}{{cm}^{2}} {sec}^{- 1} {Hz}^{- 1} \\ = 1.7 \times 10^{5} \frac{W}{{cm}^{2} {cm}^{- 1}} \end{array}$		$\begin{matrix} \underline{S_{21} (7)} B_{12} = 1.03 \times 10^{6} {cm}^{2} {sec}^{- 1} {erg}^{- 1} (Ref . 14) \\ g_{i} = \begin{matrix} 16 & E_{i} = 1029.1 {cm}^{- 1} \end{matrix} \\ \underline{Q_{21} (9)} B_{12} = 1.96 \times 10^{6} {cm}^{2} {sec}^{- 1} {erg}^{- 1} (Ref . 14) \\ g_{i} = \begin{matrix} 20 & E_{i} = 1654.5 {cm}^{- 1} \end{matrix} \end{matrix}$

Laser	I(W/cm⁻¹)	R₂(10)^0,0	R₂(10)^1,1	S₂₁(7)^0,0
a	83.0	0.88 × 10⁻³	0.66 × 10⁻³	0.18 × 10⁻²
b	5.83 × 10⁵	7.4	5.5	1.5
c	5.83 × 10⁶	23.0	17.5	4.9

N	ΔE = E(N + 1) − E(N − 1) (cm⁻¹)	$σ (T_{r}); K (\frac{100 σ (T_{r})}{T_{r}}); %$
N	ΔE = E(N + 1) − E(N − 1) (cm⁻¹)	1000 K	2000 K	3000 K
4	341.9	20 (2.0)	80 (4.0)	180 (6.0)
8	624.4	11 (1.1)	44 (2.2)	99 (3.3)
12	898.6	8 (0.8)	32 (1.5)	63 (2.1)
16	1155.9	6 (0.6)	24 (1.2)	54 (1.8)

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Equations (18)

Applied Optics