Determination of N2–N2 and N2–O2 S-branch Raman linewidths using time-resolved picosecond pure rotational coherent anti-Stokes Raman scattering

Christian Meißner; Jonas I. Hölzer; Thomas Seeger

doi:10.1364/AO.58.000C47

Applied Optics
Vol. 58,
Issue 10,
pp. C47-C54
(2019)
•https://doi.org/10.1364/AO.58.000C47

Determination of N₂–N₂ and N₂–O₂ S-branch Raman linewidths using time-resolved picosecond pure rotational coherent anti-Stokes Raman scattering

Christian Meißner, Jonas I. Hölzer, and Thomas Seeger

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Christian Meißner, Jonas I. Hölzer, and Thomas Seeger, "Determination of N₂–N₂ and N₂–O₂ S-branch Raman linewidths using time-resolved picosecond pure rotational coherent anti-Stokes Raman scattering," Appl. Opt. 58, C47-C54 (2019)

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About this Article
History
- Original Manuscript: October 30, 2018
- Revised Manuscript: January 13, 2019
- Manuscript Accepted: January 18, 2019
- Published: February 13, 2019
Virtual Issues
Applied Optics Laser Applications to Chemical, Security and Environmental Analysis 2018 (2018)

Abstract

$N_{2} - N_{2}$ and $N_{2} - O_{2}$ S-branch Raman linewidths have been determined using picosecond dual-broadband pure rotational coherent anti-Stokes Raman scattering (CARS). Time-resolved rotational CARS measurements were performed in gas-phase $N_{2}$ and air for temperatures up to 1900 K in order to determine the time constants of the coherence decay to subsequently calculate the S-branch Raman linewidths. Coherence decay time traces and the resulting S-branch Raman linewidths are presented for $N_{2} - N_{2}$ and $N_{2} - O_{2}$ collisions. Therewith, we reduce the gap of widely missing S-branch linewidth data in the temperature regime of many combustion processes. Further, we demonstrate that the standard monoexponential fitting of the coherence decay, as it is commonly done for nitrogen, is not applicable to oxygen.

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$Γ_{J^{''}} (FWHM) / 10^{- 3} cm$
$J^{''}$	295 K	500 K	870 K	1000 K	1200 K	1400 K	1650 K	1750 K	1900 K
4	$94.6 \pm 2.3$	$80.9 \pm 2.6$	$51.9 \pm 1.0$	$46.7 \pm 1.4$	$41.7 \pm 1.6$	$38.1 \pm 1.9$	–	–	–
5	$90.3 \pm 3.2$	$74.6 \pm 3.5$	$50.5 \pm 1.9$	$46.5 \pm 1.8$	$35.7 \pm 1.8$	–	–	–	–
6	$88.2 \pm 0.9$	$79.9 \pm 1.6$	$51.4 \pm 1.1$	$43.2 \pm 0.9$	$38.6 \pm 0.6$	$34.3 \pm 0.9$	$49.6 \pm 4.2$	$39.2 \pm 1.1$	$26.8 \pm 1.7$
7	$89.4 \pm 1.7$	$75.7 \pm 1.5$	$53.8 \pm 1.5$	$43.8 \pm 1.0$	$40.2 \pm 0.9$	$33.3 \pm 1.7$	–	$41.9 \pm 1.6$	–
8	$87.3 \pm 0.8$	$70.1 \pm 2.4$	$52.7 \pm 1.3$	$42.8 \pm 0.6$	$38.3 \pm 0.6$	$32.7 \pm 1.3$	$32.1 \pm 1.2$	$33.4 \pm 0.5$	$31.3 \pm 1.4$
9	$85.0 \pm 1.5$	$71.0 \pm 0.7$	$50.8 \pm 0.9$	$42.6 \pm 0.8$	$36.5 \pm 0.7$	$32.8 \pm 1.4$	$39.4 \pm 1.7$	$35.7 \pm 0.8$	$31.8 \pm 2.3$
10	$83.2 \pm 0.8$	$66.1 \pm 2.3$	$49.1 \pm 1.3$	$39.9 \pm 0.5$	$37.1 \pm 0.6$	$34.1 \pm 0.8$	$33.8 \pm 1.2$	$31.3 \pm 0.4$	$33.7 \pm 1.0$
11	$82.8 \pm 1.2$	$70.2 \pm 0.9$	$48.1 \pm 1.1$	$40.4 \pm 0.7$	$38.3 \pm 0.4$	$32.1 \pm 1.0$	$34.9 \pm 1.5$	$30.6 \pm 0.4$	$25.1 \pm 1.6$
12	$75.9 \pm 1.4$	$67.7 \pm 1.6$	$45.0 \pm 2.0$	$40.3 \pm 0.7$	$37.2 \pm 0.5$	$33.1 \pm 1.2$	$30.8 \pm 0.6$	$30.9 \pm 0.3$	$30.5 \pm 0.5$
13	$75.5 \pm 1.2$	$67.1 \pm 1.9$	$46.2 \pm 1.0$	$40.2 \pm 0.5$	$36.7 \pm 0.4$	$33.3 \pm 0.9$	$29.2 \pm 0.8$	$30.5 \pm 0.4$	$29.7 \pm 1.1$
14	$70.7 \pm 0.8$	$62.5 \pm 0.8$	$45.5 \pm 1.0$	$39.9 \pm 0.7$	$37.2 \pm 0.5$	$32.1 \pm 0.8$	$29.8 \pm 0.6$	$29.0 \pm 0.3$	$29.7 \pm 0.8$
15	$66.7 \pm 2.9$	$61.8 \pm 1.9$	$44.3 \pm 1.4$	$39.4 \pm 0.6$	$34.7 \pm 0.5$	$30.3 \pm 1.2$	$28.1 \pm 0.7$	$30.7 \pm 0.4$	$29.7 \pm 1.0$
16	$68.9 \pm 0.9$	$58.2 \pm 2.2$	$42.4 \pm 0.8$	$39.3 \pm 0.9$	$35.2 \pm 0.5$	$30.5 \pm 1.0$	$29.4 \pm 0.4$	$29.5 \pm 0.3$	$29.4 \pm 0.6$
17	$64.6 \pm 0.9$	$55.9 \pm 1.7$	$41.2 \pm 0.5$	$37.9 \pm 0.6$	$34.6 \pm 0.4$	$31.2 \pm 1.0$	$27.9 \pm 0.6$	$28.7 \pm 0.4$	$28.7 \pm 1.1$
18	$60.5 \pm 1.6$	$54.9 \pm 1.1$	$40.6 \pm 1.0$	$37.9 \pm 0.7$	$34.0 \pm 0.5$	$30.4 \pm 0.9$	$29.7 \pm 0.6$	$29.2 \pm 0.3$	$29.6 \pm 0.5$
19	$58.7 \pm 2.6$	$57.5 \pm 1.5$	$40.4 \pm 1.2$	$36.6 \pm 0.6$	$33.8 \pm 0.3$	$29.8 \pm 1.1$	$28.1 \pm 0.5$	$28.1 \pm 0.3$	$29.1 \pm 0.8$
20	$54.3 \pm 1.1$	$54.0 \pm 1.0$	$38.4 \pm 1.6$	$36.1 \pm 0.7$	$32.9 \pm 0.6$	$30.2 \pm 0.9$	$27.0 \pm 0.8$	$29.1 \pm 0.4$	$28.9 \pm 0.9$
21	$49.9 \pm 1.6$	$49.7 \pm 1.4$	$37.0 \pm 1.0$	$35.6 \pm 0.5$	$32.6 \pm 0.5$	$27.6 \pm 0.8$	$28.5 \pm 1.1$	$28.3 \pm 0.3$	$28.9 \pm 0.6$
22	$48.1 \pm 1.8$	$48.4 \pm 1.5$	$36.2 \pm 1.0$	$35.5 \pm 0.6$	$33.4 \pm 0.6$	$28.7 \pm 1.1$	$28.8 \pm 0.7$	$28.1 \pm 0.3$	$27.7 \pm 1.1$
23	$36.7 \pm 1.1$	$46.0 \pm 1.9$	$36.3 \pm 0.7$	$32.8 \pm 0.5$	$31.5 \pm 0.4$	$27.5 \pm 0.8$	$26.0 \pm 0.9$	$28.3 \pm 0.3$	$26.9 \pm 0.9$
24	$40.4 \pm 1.4$	$44.5 \pm 1.3$	$34.4 \pm 1.3$	$33.6 \pm 0.7$	$31.3 \pm 0.5$	$27.7 \pm 0.7$	$25.2 \pm 0.6$	$27.8 \pm 0.3$	$26.3 \pm 0.7$
25	$41.6 \pm 4.0$	–	$32.8 \pm 0.5$	$32.8 \pm 0.6$	$30.3 \pm 0.6$	$26.7 \pm 0.8$	$24.6 \pm 0.8$	$26.5 \pm 0.3$	$24.3 \pm 0.8$
26	–	$40.4 \pm 2.2$	$31.5 \pm 0.9$	$32.5 \pm 0.7$	$29.4 \pm 0.4$	$26.1 \pm 0.8$	$24.9 \pm 0.5$	$27.4 \pm 0.3$	$25.4 \pm 1.3$
27	–	–	$30.9 \pm 0.7$	$30.4 \pm 0.5$	$28.9 \pm 0.3$	$26.3 \pm 0.6$	$25.2 \pm 0.7$	$26.1 \pm 0.4$	$25.7 \pm 0.6$
28	–	–	$30.3 \pm 0.9$	$29.4 \pm 0.5$	$28.1 \pm 0.3$	$27.0 \pm 1.0$	$24.3 \pm 0.7$	$26.5 \pm 0.3$	$25.6 \pm 0.7$
29	–	–	$30.5 \pm 1.0$	$30.4 \pm 0.6$	$27.5 \pm 0.3$	$25.0 \pm 0.9$	$22.4 \pm 0.7$	$25.2 \pm 0.3$	$24.5 \pm 0.6$
30	–	–	$26.4 \pm 0.5$	$28.6 \pm 0.6$	$26.4 \pm 0.4$	$25.3 \pm 1.0$	$22.9 \pm 0.5$	$25.3 \pm 0.4$	$25.4 \pm 1.0$
31	–	–	$27.5 \pm 1.8$	$26.8 \pm 0.5$	$26.2 \pm 0.4$	$22.9 \pm 0.9$	$22.4 \pm 0.7$	$25.3 \pm 0.4$	$24.6 \pm 0.9$
32	–	–	$24.6 \pm 1.0$	$26.4 \pm 0.4$	$26.0 \pm 0.2$	$24.4 \pm 1.0$	$22.9 \pm 0.6$	$24.7 \pm 0.3$	$24.1 \pm 0.9$
33	–	–	$17.7 \pm 1.6$	$25.3 \pm 0.6$	$25.4 \pm 0.4$	$21.2 \pm 1.0$	$25.6 \pm 1.0$	$22.9 \pm 0.3$	$22.3 \pm 0.5$
34	–	–	$21.0 \pm 0.8$	$25.0 \pm 0.5$	$24.2 \pm 0.4$	$23.0 \pm 0.9$	$21.6 \pm 0.6$	$23.6 \pm 0.3$	$24.0 \pm 0.5$
35	–	–	–	$24.8 \pm 0.8$	$25.8 \pm 0.7$	$21.1 \pm 0.9$	$21.1 \pm 1.3$	$24.2 \pm 0.4$	$18.8 \pm 0.9$

$Γ_{J^{''}} (FWHM) / 10^{- 3} cm$
$J^{''}$	295 K	500 K	870 K	1400 K	1650 K	1900 K
4	$79.4 \pm 1.5$	$56.3 \pm 0.7$	$49.7 \pm 1.3$	–	–	–
5	$74.3 \pm 1.7$	$56.5 \pm 0.6$	$47.5 \pm 1.7$	–	–	–
6	–	–	–	–	–	–
7	$74.5 \pm 1.0$	$56.6 \pm 0.8$	$47.1 \pm 0.8$	–	–	–
8	$72.6 \pm 1.4$	$54.8 \pm 0.5$	$48.1 \pm 0.5$	–	–	–
9	–	–	–	$38.0 \pm 1.1$	–	$40.3 \pm 3.6$
10	$69.3 \pm 1.0$	$54.5 \pm 0.3$	$46.8 \pm 0.6$	–	–	–
11	$69.0 \pm 1.1$	$51.1 \pm 0.7$	$44.8 \pm 0.6$	$34.1 \pm 0.5$	$31.9 \pm 1.3$	$35.9 \pm 2.5$
12	–	–	–	$30.6 \pm 0.4$	$31.1 \pm 0.4$	$33.0 \pm 1.4$
13	$67.6 \pm 0.7$	$52.7 \pm 0.5$	$44.5 \pm 0.7$	–	–	–
14	$66.6 \pm 0.8$	$49.2 \pm 0.8$	$44.1 \pm 0.7$	$30.2 \pm 0.4$	$29.8 \pm 0.5$	$35.2 \pm 1.3$
15	$64.6 \pm 0.9$	$48.1 \pm 0.8$	$43.6 \pm 0.5$	$30.6 \pm 0.5$	$29.3 \pm 0.5$	$36.5 \pm 1.1$
16	–	–	–	–	–	–
17	$59.9 \pm 1.3$	$47.3 \pm 0.6$	$41.2 \pm 0.6$	$30.1 \pm 0.4$	$31.0 \pm 0.4$	$38.1 \pm 1.7$
18	$57.2 \pm 0.7$	$44.7 \pm 0.4$	$40.0 \pm 0.3$	$29.7 \pm 0.4$	$28.6 \pm 0.3$	$34.0 \pm 1.1$
19	–	–	–	$30.3 \pm 0.4$	$28.4 \pm 0.3$	$31.0 \pm 0.9$
20	$54.0 \pm 0.7$	$41.9 \pm 0.3$	$39.0 \pm 0.4$	–	–	–
21	$46.0 \pm 1.9$	$42.6 \pm 0.6$	$36.9 \pm 0.3$	$28.6 \pm 0.4$	$28.1 \pm 0.4$	$30.4 \pm 0.9$
22	–	–	–	$28.4 \pm 0.3$	$29.9 \pm 0.3$	$32.5 \pm 1.1$
23	$40.7 \pm 2.0$	$36.5 \pm 0.8$	$35.6 \pm 0.3$	–	–	–
24	$40.8 \pm 1.9$	$34.4 \pm 0.5$	$35.2 \pm 0.7$	$27.3 \pm 0.4$	$28.4 \pm 0.4$	$31.5 \pm 1.1$
25	–	$31.1 \pm 1.0$	$35.3 \pm 0.6$	$26.0 \pm 0.4$	$27.6 \pm 0.3$	$29.2 \pm 1.1$
26	–	–	–	–	–	–
27	–	$30.2 \pm 1.6$	$31.2 \pm 0.3$	$26.5 \pm 0.4$	$26.6 \pm 0.4$	$30.9 \pm 1.1$
28	–	$28.6 \pm 1.2$	$29.5 \pm 0.2$	$25.0 \pm 0.3$	$26.7 \pm 0.3$	$30.2 \pm 1.1$
29	–	–	–	$25.6 \pm 0.5$	$26.2 \pm 0.3$	$29.6 \pm 0.9$
30	–	$28.5 \pm 1.6$	$28.3 \pm 0.3$	–	–	–
31	–	–	$26.6 \pm 0.7$	$23.7 \pm 0.4$	$25.4 \pm 0.3$	$27.8 \pm 0.9$
32	–	–	–	$23.4 \pm 0.4$	$24.8 \pm 0.5$	$27.9 \pm 1.0$
33	–	–	$26.1 \pm 0.8$	–	–	–
34	–	–	$24.8 \pm 0.5$	$22.9 \pm 0.4$	$25.1 \pm 0.4$	$26.5 \pm 0.8$
35	–	–	$24.7 \pm 1.6$	$21.2 \pm 0.4$	$22.6 \pm 0.3$	$23.7 \pm 0.9$

$Γ_{J^{''}} (FWHM) / 10^{- 3} cm$
$J^{''}$	295 K	500 K	870 K	1000 K	1200 K	1400 K	1650 K	1750 K	1900 K
4	$94.6 \pm 2.3$	$80.9 \pm 2.6$	$51.9 \pm 1.0$	$46.7 \pm 1.4$	$41.7 \pm 1.6$	$38.1 \pm 1.9$	–	–	–
5	$90.3 \pm 3.2$	$74.6 \pm 3.5$	$50.5 \pm 1.9$	$46.5 \pm 1.8$	$35.7 \pm 1.8$	–	–	–	–
6	$88.2 \pm 0.9$	$79.9 \pm 1.6$	$51.4 \pm 1.1$	$43.2 \pm 0.9$	$38.6 \pm 0.6$	$34.3 \pm 0.9$	$49.6 \pm 4.2$	$39.2 \pm 1.1$	$26.8 \pm 1.7$
7	$89.4 \pm 1.7$	$75.7 \pm 1.5$	$53.8 \pm 1.5$	$43.8 \pm 1.0$	$40.2 \pm 0.9$	$33.3 \pm 1.7$	–	$41.9 \pm 1.6$	–
8	$87.3 \pm 0.8$	$70.1 \pm 2.4$	$52.7 \pm 1.3$	$42.8 \pm 0.6$	$38.3 \pm 0.6$	$32.7 \pm 1.3$	$32.1 \pm 1.2$	$33.4 \pm 0.5$	$31.3 \pm 1.4$
9	$85.0 \pm 1.5$	$71.0 \pm 0.7$	$50.8 \pm 0.9$	$42.6 \pm 0.8$	$36.5 \pm 0.7$	$32.8 \pm 1.4$	$39.4 \pm 1.7$	$35.7 \pm 0.8$	$31.8 \pm 2.3$
10	$83.2 \pm 0.8$	$66.1 \pm 2.3$	$49.1 \pm 1.3$	$39.9 \pm 0.5$	$37.1 \pm 0.6$	$34.1 \pm 0.8$	$33.8 \pm 1.2$	$31.3 \pm 0.4$	$33.7 \pm 1.0$
11	$82.8 \pm 1.2$	$70.2 \pm 0.9$	$48.1 \pm 1.1$	$40.4 \pm 0.7$	$38.3 \pm 0.4$	$32.1 \pm 1.0$	$34.9 \pm 1.5$	$30.6 \pm 0.4$	$25.1 \pm 1.6$
12	$75.9 \pm 1.4$	$67.7 \pm 1.6$	$45.0 \pm 2.0$	$40.3 \pm 0.7$	$37.2 \pm 0.5$	$33.1 \pm 1.2$	$30.8 \pm 0.6$	$30.9 \pm 0.3$	$30.5 \pm 0.5$
13	$75.5 \pm 1.2$	$67.1 \pm 1.9$	$46.2 \pm 1.0$	$40.2 \pm 0.5$	$36.7 \pm 0.4$	$33.3 \pm 0.9$	$29.2 \pm 0.8$	$30.5 \pm 0.4$	$29.7 \pm 1.1$
14	$70.7 \pm 0.8$	$62.5 \pm 0.8$	$45.5 \pm 1.0$	$39.9 \pm 0.7$	$37.2 \pm 0.5$	$32.1 \pm 0.8$	$29.8 \pm 0.6$	$29.0 \pm 0.3$	$29.7 \pm 0.8$
15	$66.7 \pm 2.9$	$61.8 \pm 1.9$	$44.3 \pm 1.4$	$39.4 \pm 0.6$	$34.7 \pm 0.5$	$30.3 \pm 1.2$	$28.1 \pm 0.7$	$30.7 \pm 0.4$	$29.7 \pm 1.0$
16	$68.9 \pm 0.9$	$58.2 \pm 2.2$	$42.4 \pm 0.8$	$39.3 \pm 0.9$	$35.2 \pm 0.5$	$30.5 \pm 1.0$	$29.4 \pm 0.4$	$29.5 \pm 0.3$	$29.4 \pm 0.6$
17	$64.6 \pm 0.9$	$55.9 \pm 1.7$	$41.2 \pm 0.5$	$37.9 \pm 0.6$	$34.6 \pm 0.4$	$31.2 \pm 1.0$	$27.9 \pm 0.6$	$28.7 \pm 0.4$	$28.7 \pm 1.1$
18	$60.5 \pm 1.6$	$54.9 \pm 1.1$	$40.6 \pm 1.0$	$37.9 \pm 0.7$	$34.0 \pm 0.5$	$30.4 \pm 0.9$	$29.7 \pm 0.6$	$29.2 \pm 0.3$	$29.6 \pm 0.5$
19	$58.7 \pm 2.6$	$57.5 \pm 1.5$	$40.4 \pm 1.2$	$36.6 \pm 0.6$	$33.8 \pm 0.3$	$29.8 \pm 1.1$	$28.1 \pm 0.5$	$28.1 \pm 0.3$	$29.1 \pm 0.8$
20	$54.3 \pm 1.1$	$54.0 \pm 1.0$	$38.4 \pm 1.6$	$36.1 \pm 0.7$	$32.9 \pm 0.6$	$30.2 \pm 0.9$	$27.0 \pm 0.8$	$29.1 \pm 0.4$	$28.9 \pm 0.9$
21	$49.9 \pm 1.6$	$49.7 \pm 1.4$	$37.0 \pm 1.0$	$35.6 \pm 0.5$	$32.6 \pm 0.5$	$27.6 \pm 0.8$	$28.5 \pm 1.1$	$28.3 \pm 0.3$	$28.9 \pm 0.6$
22	$48.1 \pm 1.8$	$48.4 \pm 1.5$	$36.2 \pm 1.0$	$35.5 \pm 0.6$	$33.4 \pm 0.6$	$28.7 \pm 1.1$	$28.8 \pm 0.7$	$28.1 \pm 0.3$	$27.7 \pm 1.1$
23	$36.7 \pm 1.1$	$46.0 \pm 1.9$	$36.3 \pm 0.7$	$32.8 \pm 0.5$	$31.5 \pm 0.4$	$27.5 \pm 0.8$	$26.0 \pm 0.9$	$28.3 \pm 0.3$	$26.9 \pm 0.9$
24	$40.4 \pm 1.4$	$44.5 \pm 1.3$	$34.4 \pm 1.3$	$33.6 \pm 0.7$	$31.3 \pm 0.5$	$27.7 \pm 0.7$	$25.2 \pm 0.6$	$27.8 \pm 0.3$	$26.3 \pm 0.7$
25	$41.6 \pm 4.0$	–	$32.8 \pm 0.5$	$32.8 \pm 0.6$	$30.3 \pm 0.6$	$26.7 \pm 0.8$	$24.6 \pm 0.8$	$26.5 \pm 0.3$	$24.3 \pm 0.8$
26	–	$40.4 \pm 2.2$	$31.5 \pm 0.9$	$32.5 \pm 0.7$	$29.4 \pm 0.4$	$26.1 \pm 0.8$	$24.9 \pm 0.5$	$27.4 \pm 0.3$	$25.4 \pm 1.3$
27	–	–	$30.9 \pm 0.7$	$30.4 \pm 0.5$	$28.9 \pm 0.3$	$26.3 \pm 0.6$	$25.2 \pm 0.7$	$26.1 \pm 0.4$	$25.7 \pm 0.6$
28	–	–	$30.3 \pm 0.9$	$29.4 \pm 0.5$	$28.1 \pm 0.3$	$27.0 \pm 1.0$	$24.3 \pm 0.7$	$26.5 \pm 0.3$	$25.6 \pm 0.7$
29	–	–	$30.5 \pm 1.0$	$30.4 \pm 0.6$	$27.5 \pm 0.3$	$25.0 \pm 0.9$	$22.4 \pm 0.7$	$25.2 \pm 0.3$	$24.5 \pm 0.6$
30	–	–	$26.4 \pm 0.5$	$28.6 \pm 0.6$	$26.4 \pm 0.4$	$25.3 \pm 1.0$	$22.9 \pm 0.5$	$25.3 \pm 0.4$	$25.4 \pm 1.0$
31	–	–	$27.5 \pm 1.8$	$26.8 \pm 0.5$	$26.2 \pm 0.4$	$22.9 \pm 0.9$	$22.4 \pm 0.7$	$25.3 \pm 0.4$	$24.6 \pm 0.9$
32	–	–	$24.6 \pm 1.0$	$26.4 \pm 0.4$	$26.0 \pm 0.2$	$24.4 \pm 1.0$	$22.9 \pm 0.6$	$24.7 \pm 0.3$	$24.1 \pm 0.9$
33	–	–	$17.7 \pm 1.6$	$25.3 \pm 0.6$	$25.4 \pm 0.4$	$21.2 \pm 1.0$	$25.6 \pm 1.0$	$22.9 \pm 0.3$	$22.3 \pm 0.5$
34	–	–	$21.0 \pm 0.8$	$25.0 \pm 0.5$	$24.2 \pm 0.4$	$23.0 \pm 0.9$	$21.6 \pm 0.6$	$23.6 \pm 0.3$	$24.0 \pm 0.5$
35	–	–	–	$24.8 \pm 0.8$	$25.8 \pm 0.7$	$21.1 \pm 0.9$	$21.1 \pm 1.3$	$24.2 \pm 0.4$	$18.8 \pm 0.9$

$Γ_{J^{''}} (FWHM) / 10^{- 3} cm$
$J^{''}$	295 K	500 K	870 K	1400 K	1650 K	1900 K
4	$79.4 \pm 1.5$	$56.3 \pm 0.7$	$49.7 \pm 1.3$	–	–	–
5	$74.3 \pm 1.7$	$56.5 \pm 0.6$	$47.5 \pm 1.7$	–	–	–
6	–	–	–	–	–	–
7	$74.5 \pm 1.0$	$56.6 \pm 0.8$	$47.1 \pm 0.8$	–	–	–
8	$72.6 \pm 1.4$	$54.8 \pm 0.5$	$48.1 \pm 0.5$	–	–	–
9	–	–	–	$38.0 \pm 1.1$	–	$40.3 \pm 3.6$
10	$69.3 \pm 1.0$	$54.5 \pm 0.3$	$46.8 \pm 0.6$	–	–	–
11	$69.0 \pm 1.1$	$51.1 \pm 0.7$	$44.8 \pm 0.6$	$34.1 \pm 0.5$	$31.9 \pm 1.3$	$35.9 \pm 2.5$
12	–	–	–	$30.6 \pm 0.4$	$31.1 \pm 0.4$	$33.0 \pm 1.4$
13	$67.6 \pm 0.7$	$52.7 \pm 0.5$	$44.5 \pm 0.7$	–	–	–
14	$66.6 \pm 0.8$	$49.2 \pm 0.8$	$44.1 \pm 0.7$	$30.2 \pm 0.4$	$29.8 \pm 0.5$	$35.2 \pm 1.3$
15	$64.6 \pm 0.9$	$48.1 \pm 0.8$	$43.6 \pm 0.5$	$30.6 \pm 0.5$	$29.3 \pm 0.5$	$36.5 \pm 1.1$
16	–	–	–	–	–	–
17	$59.9 \pm 1.3$	$47.3 \pm 0.6$	$41.2 \pm 0.6$	$30.1 \pm 0.4$	$31.0 \pm 0.4$	$38.1 \pm 1.7$
18	$57.2 \pm 0.7$	$44.7 \pm 0.4$	$40.0 \pm 0.3$	$29.7 \pm 0.4$	$28.6 \pm 0.3$	$34.0 \pm 1.1$
19	–	–	–	$30.3 \pm 0.4$	$28.4 \pm 0.3$	$31.0 \pm 0.9$
20	$54.0 \pm 0.7$	$41.9 \pm 0.3$	$39.0 \pm 0.4$	–	–	–
21	$46.0 \pm 1.9$	$42.6 \pm 0.6$	$36.9 \pm 0.3$	$28.6 \pm 0.4$	$28.1 \pm 0.4$	$30.4 \pm 0.9$
22	–	–	–	$28.4 \pm 0.3$	$29.9 \pm 0.3$	$32.5 \pm 1.1$
23	$40.7 \pm 2.0$	$36.5 \pm 0.8$	$35.6 \pm 0.3$	–	–	–
24	$40.8 \pm 1.9$	$34.4 \pm 0.5$	$35.2 \pm 0.7$	$27.3 \pm 0.4$	$28.4 \pm 0.4$	$31.5 \pm 1.1$
25	–	$31.1 \pm 1.0$	$35.3 \pm 0.6$	$26.0 \pm 0.4$	$27.6 \pm 0.3$	$29.2 \pm 1.1$
26	–	–	–	–	–	–
27	–	$30.2 \pm 1.6$	$31.2 \pm 0.3$	$26.5 \pm 0.4$	$26.6 \pm 0.4$	$30.9 \pm 1.1$
28	–	$28.6 \pm 1.2$	$29.5 \pm 0.2$	$25.0 \pm 0.3$	$26.7 \pm 0.3$	$30.2 \pm 1.1$
29	–	–	–	$25.6 \pm 0.5$	$26.2 \pm 0.3$	$29.6 \pm 0.9$
30	–	$28.5 \pm 1.6$	$28.3 \pm 0.3$	–	–	–
31	–	–	$26.6 \pm 0.7$	$23.7 \pm 0.4$	$25.4 \pm 0.3$	$27.8 \pm 0.9$
32	–	–	–	$23.4 \pm 0.4$	$24.8 \pm 0.5$	$27.9 \pm 1.0$
33	–	–	$26.1 \pm 0.8$	–	–	–
34	–	–	$24.8 \pm 0.5$	$22.9 \pm 0.4$	$25.1 \pm 0.4$	$26.5 \pm 0.8$
35	–	–	$24.7 \pm 1.6$	$21.2 \pm 0.4$	$22.6 \pm 0.3$	$23.7 \pm 0.9$

Abstract

Cited By

Figures (9)

Tables (2)

Equations (1)

Applied Optics