Two-color resonance ionization spectroscopy of highly excited titanium atoms

Leo Matsuoka; Shuichi Hasegawa

doi:10.1364/JOSAB.24.002562

Two-color resonance ionization spectroscopy of highly excited titanium atoms

Leo Matsuoka and Shuichi Hasegawa

Journal of the Optical Society of America B
Vol. 24,
Issue 10,
pp. 2562-2579
(2007)
•https://doi.org/10.1364/JOSAB.24.002562

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Leo Matsuoka and Shuichi Hasegawa, "Two-color resonance ionization spectroscopy of highly excited titanium atoms," J. Opt. Soc. Am. B 24, 2562-2579 (2007)

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Related Topics
Table of Contents Category
- Spectroscopy
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Rydberg states (020.5780)
- Spectroscopy, atomic (300.6210)
- Spectroscopy, laser (300.6360)

About this Article
History
- Original Manuscript: February 8, 2007
- Revised Manuscript: June 8, 2007
- Manuscript Accepted: June 8, 2007
- Published: September 4, 2007

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Abstract

We performed two-color resonance ionization spectroscopy for studying highly excited states of titanium. We obtained high-resolution spectra of the Rydberg and autoionization series using three intermediate states. To observe the appropriate series, we considered mixed configurations of the intermediate states. The convergence limits of the observed series depended on the intermediate states. Using the Rydberg formula and convergence limit estimation, we could provide a tentative assignment to almost all the fine structure levels in the obtained spectra. From the analyses of the two regions, we derived the ionization potential of titanium as $55 072.5 \pm 0.1 {cm}^{- 1}$ .

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Configuration and Term	Energy $({cm}^{- 1})$	Leading Percentage	Mixed Configuration	(percentage)
Our experiment
$3 d^{2} ({}^{3}F) 4 s 4 p ({}^{1}P^{o}) y {}^{3}G_{3}$	$27 498.975$	56	$3 d^{3} ({}^{4}F) 4 p {}^{3}G_{3}$	(23)
$3 d^{2} ({}^{3}F) 4 s 4 p ({}^{1}P^{o}) y {}^{3}G_{4}$	$27 614.667$	55	$3 d^{3} ({}^{4}F) 4 p {}^{3}G_{4}$	(23)
$3 d^{2} ({}^{3}F) 4 s 4 p ({}^{1}P^{o}) y {}^{3}G_{5}$	$27 750.124$	53	$3 d^{3} ({}^{4}F) 4 p {}^{3}G_{5}$	(24)
Experiment^c
$3 d^{2} ({}^{3}F) 4 s 4 p ({}^{3}P^{o}) z {}^{3}D_{2}$	$20 006.032$	83	$3 d^{2} ({}^{3}P) 4 s 4 p ({}^{3}P^{o}) {}^{3}D_{2}$	(8)
$3 d^{2} ({}^{3}F) 4 s 4 p ({}^{3}P^{o}) z {}^{3}G_{3}$	$21 469.494$	95
$3 d^{2} ({}^{3}F) 4 s 4 p ({}^{3}P^{o}) z {}^{3}G_{4}$	$21 588.496$	95
Experiment^d
$3 d^{3} ({}^{4}F) 4 p y {}^{5}F_{5}$	$28 896.062$	97

Energy $({cm}^{- 1})$	$ν_{8}$	Assignment
$55 539.21$	12.10	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 13 d$
$55 646.21$	13.07	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 14 d$
$55 731.25$	14.03	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 15 d$
$55 800.85$	15.00	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 16 d$
$55 860.21$	16.01	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 17 d$
$55 908.30$	16.99	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 18 d$
$55 949.30$	17.99	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 19 d$
$55 983.45$	18.97	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 20 d$
$56 013.54$	19.98	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 21 d$
$56 039.44$	21.00	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 22 d$
$56 061.05$	21.97	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 23 d$
$56 079.83$	22.94	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 24 d$
$56 097.31$	23.97	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 25 d$
$56 112.33$	24.97	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 26 d$
$56 125.56$	25.96	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 27 d$
$56 137.44$	26.97	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 28 d$
$56 147.78$	27.94	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 29 d$
$56 157.57$	28.97	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 30 d$
$56 166.27$	29.98	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 31 d$
$56 174.07$	30.99	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 32 d$
$56 181.09$	31.99	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 33 d$
$56 187.51$	32.99	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 34 d$
$56 198.67$	34.98	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 36 d$
$56 203.57$	35.98	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 37 d$
$56 208.19$	37.00	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 38 d$
$56 212.28$	37.98	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 39 d$
$56 219.70$	39.98	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 41 d$
$56 222.89$	40.95	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 42 d$
$56 226.03$	41.97	$3 d^{3} ({}^{4}F_{9 ∕ 2}) 43 d$

Energy $({cm}^{- 1})$	$ν_{4}$	Assignment
$55 277.57$	24.14	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 25 d$
$55 279.52$	24.26	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 25 d$
$55 281.94$	24.42	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 27 s$
$55 283.97$	24.56	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 27 s$
$55 292.04$	25.12	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 26 d$
$55 301.77$	25.85	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 27 d$
$55 305.00$	26.11	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 27 d$
$55 310.44$	26.56	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 29 s$
$55 314.46$	26.92	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 28 d$
$55 315.49$	27.01	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 28 d$
$55 316.65$	27.11	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 28 d$
$55 321.45$	27.56	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 30 s$
$55 327.30$	28.13	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 29 d$
$55 331.46$	28.57	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 31 s$
$55 336.67$	29.14	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 30 d$
$55 343.33$	29.92	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 31 d$
$55 345.30$	30.16	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 31 d$
$55 352.62$	31.12	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 32 d$
$55 354.26$	31.35	Unknown large peak
$55 359.69$	32.14	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 33 d$
$55 365.60$	33.07	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 34 d$
$55 368.10$	33.49	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 36 s$
$55 371.84$	34.15	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 35 d$
$55 373.96$	34.54	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 37 s$
$55 376.93$	35.11	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 36 d$
$55 381.88$	36.13	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 37 d$
$55 386.36$	37.13	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 38 d$
$55 388.36$	37.61	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 40 s$
$55 390.12$	38.04	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 39 d$
$55 390.68$	38.18	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 39 d$
$55 392.24$	38.59	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 41 s$
$55 393.75$	38.99	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 40 d$
$55 395.22$	39.39	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 42 s$
$55 397.73$	40.11	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 41 d$
$55 398.30$	40.28	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 41 d$
$55 400.10$	40.83	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 42 d$
$55 401.27$	41.19	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 42 d$
$55 404.89$	42.40	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 45 s$
$55 407.11$	43.19	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 44 d$
$55 409.52$	44.10	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 45 d$
$55 410.74$	44.59	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 47 s$
$55 412.26$	45.21	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 46 d$
$55 413.11$	45.57	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 48 s$
$55 414.49$	46.18	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 47 d$
$55 416.48$	47.10	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 48 d$
$55 417.59$	47.64	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 50 s$
$55 419.23$	48.47	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 51 s$
$55 421.06$	49.45	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 52 s$
$55 422.85$	50.47	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 53 s$
$55 424.52$	51.47	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 54 s$
$55 425.90$	52.35	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 55 s$

Energy $({cm}^{- 1})$	$ν_{3}$	$ν_{4}$	Assignment
$54 722.71$	13.81	12.15	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 13 d$
$54 725.31$	13.84	12.17	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 13 d$
$54 738.16$	14.00	12.28	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 15 d$
$54 744.64$	14.08	12.33	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 15 d$
$54 814.48$	15.06	12.98	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 16 d$
$54 821.48$	15.17	13.05	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 14 d$
$54 828.57$	15.29	13.12	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 14 d$
$54 833.91$	15.37	13.18	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 14 d$
$54 838.03$	15.44	13.22	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 18 s$
$54 840.03$	15.48	13.24	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 18 s$
$54 867.36$	15.96	13.54	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 17 d$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 16 s$
$54 868.06$	15.97	13.55	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 17 d$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 16 s$
$54 869.41$	16.00	13.56	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 17 d$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 16 s$
$54 906.23$	16.73	14.00	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 15 d$
$54 912.66$	16.87	14.08	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 15 d$
$54 915.17$	16.93	14.12	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 18 d$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 15 d$
$54 916.61$	16.96	14.13	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 18 d$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 15 d$
$54 924.94$	17.15	14.24	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 18 d$
$54 940.70$	17.52	14.45	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 20 s$
$54 946.59$	17.67	14.54	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 17 s$
$54 955.36$	17.89	14.66	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 19 d$
$54 958.09$	17.96	14.70	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 19 d$
$54 958.63$	17.98	14.71	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 19 d$
$54 962.12$	18.07	14.76	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 19 d$
$54 964.47$	18.13	14.79	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 19 d$
$54 967.85$	18.22	14.84
$54 972.08$	18.34	14.91	Unknown large peak
$54 974.64$	18.42	14.95
$54 975.94$	18.45	14.97	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 21 s$
$54 977.28$	18.49	14.99	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 21 s$
$54 979.59$	18.56	15.02	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 16 d$
$54 983.42$	18.67	15.08	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 16 d$
$54 987.21$	18.78	15.14	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 16 d$
$54 987.88$	18.80	15.15	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 16 d$
$54 990.59$	18.89	15.19	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 16 d$
$54 993.97$	18.99	15.25	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 20 d$
$54 996.09$	19.06	15.28	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 20 d$
$54 996.59$	19.07	15.29	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 20 d$
$55 009.00$	19.48	15.50	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 22 s$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 18 s$
$55 022.69$	19.96	15.73	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 21 d$
$55 023.09$	19.97	15.74	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 21 d$
$55 025.62$	20.06	15.79	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 21 d$
$55 036.92$	20.49	15.99	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 23 s$
$55 037.81$	20.53	16.01	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 17 d$
$55 042.49$	20.71	16.10	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 17 d$
$55 044.62$	20.80	16.14	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 17 d$
$55 051.06$	21.07	16.26	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 22 d$
$55 064.91$	21.69	16.54	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 19 s$
$55 070.67$	21.96	16.66	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 23 d$
$55 073.93$	22.12	16.73	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 23 d$
$55 077.17$	22.28	16.80
$55 078.10$	22.33	16.82	Unknown large peak
$55 080.43$	22.45	16.87	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 25 s$
$55 082.20$	22.54	16.91	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 25 s$
$55 084.40$	22.65	16.96	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 18 d$
$55 086.48$	22.76	17.01	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 18 d$
$55 088.66$	22.88	17.05	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 18 d$
$55 091.25$	23.03	17.11	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 24 d$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 18 d$
$55 092.51$	23.10	17.14	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 24 d$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 18 d$
$55 094.03$	23.18	17.18	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 24 d$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 18 d$
$55 094.64$	23.22	17.19	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 24 d$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 18 d$
$55 097.60$	23.39	17.26	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 24 d$
$55 098.11$	23.42	17.27	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 26 s$
$55 098.46$	23.44	17.28	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 26 s$
$55 101.81$	23.64	17.36
$55 103.47$	23.74	17.40	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 20 s$
$55 104.78$	23.82	17.43	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 20 s$
$55 107.54$	23.99	17.50	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 25 d$
$55 108.05$	24.02	17.51	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 25 d$
$55 109.53$	24.12	17.55	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 25 d$
$55 115.56$	24.51	17.70	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 27 s$
$55 122.24$	24.97	17.87	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 26 d$
$55 128.72$	25.44	18.04	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 19 d$
$55 132.41$	25.72	18.14	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 19 d$
$55 135.56$	25.97	18.23	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 27 d$
$55 136.66$	26.06	18.26	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 27 d$
$55 146.59$	26.90	18.54	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 28 d$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 21 s$
$55 147.50$	26.98	18.56	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 28 d$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 21 s$
$55 157.73$	27.95	18.87	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 29 d$
$55 162.62$	28.45	19.02	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 20 d$
$55 165.80$	28.79	19.12	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 20 d$
$55 167.46$	28.97	19.17	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 30 d$
$55 168.53$	29.09	19.21	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 30 d$
$55 176.44$	30.02	19.47	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 31 d$
$55 178.45$	30.27	19.54	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 22 s$
$55 180.61$	30.54	19.61	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 33 s$
$55 182.39$	30.78	19.67	Unknown large peak
$55 183.98$	30.99	19.73	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 32 d$
$55 188.95$	31.69	19.90	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 34 s$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 21 d$
$55 190.76$	31.95	19.97	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 33 d$
$55 192.57$	32.23	20.04	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 21 d$
$55 195.12$	32.62	20.13	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 35 s$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 21 d$
$55 197.34$	32.98	20.21	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 34 d$
$55 198.00$	33.09	20.24	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 34 d$
$55 202.65$	33.88	20.42	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 35 d$
$55 203.49$	34.03	20.45	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 35 d$
$55 206.04$	34.50	20.55	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 37 s$ or $3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 23 s$
$55 208.68$	35.01	20.65	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 36 d$
$55 209.52$	35.17	20.69	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 36 d$
$55 213.27$	35.94	20.84	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 37 d$
$55 214.53$	36.21	20.89	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 37 d$
$55 215.55$	36.43	20.93	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 39 s$
$55 216.41$	36.62	20.97	$3 d^{2} 4 s ({}^{4}F_{9 ∕ 2}) 22 d$
$55 217.31$	36.82	21.01	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 38 d$
$55 220.05$	37.46	21.13	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 40 s$
$55 222.35$	38.03	21.22	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 39 d$
$55 224.25$	38.52	21.31	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 41 s$
$55 226.02$	38.98	21.39	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 40 d$
$55 228.22$	39.59	21.49	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 42 s$
$55 229.65$	40.00	21.55	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 41 d$
$55 230.90$	40.37	21.61	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 43 s$
$55 232.67$	40.91	21.69	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 42 d$
$55 234.06$	41.35	21.75	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 44 s$

Energy $({cm}^{- 1})$	$ν_{3}$	Assignment
$55 106.36$	23.91	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 25 d$
$55 108.99$	24.08	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 25 d$
$55 115.47$	24.50	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 27 s$
$55 123.60$	25.07	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 26 d$
$55 126.25$	25.26	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 26 d$
$55 130.22$	25.56	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 28 s$
$55 136.90$	26.08	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 27 d$
$55 142.49$	26.54	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 29 s$
$55 147.97$	27.02	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 28 d$
$55 148.47$	27.07	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 28 d$
$55 157.56$	27.93	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 29 d$
$55 158.21$	28.00	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 29 d$
$55 158.93$	28.07	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 29 d$
$55 160.25$	28.20	Unknown large peak
$55 162.71$	28.46	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 31 s$
$55 163.70$	28.56	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 31 s$
$55 167.71$	29.00	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 30 d$
$55 176.09$	29.97	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 31 d$
$55 182.11$	30.74
$55 182.95$	30.85
$55 183.84$	30.97	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 32 d$
$55 185.74$	31.23	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 32 d$
$55 187.59$	31.49	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 34 s$
$55 190.10$	31.86
$55 190.59$	31.93	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 33 d$
$55 191.77$	32.11	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 33 d$
$55 192.43$	32.21	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 33 d$
$55 194.57$	32.54	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 35 s$
$55 196.86$	32.90	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 34 d$
$55 198.31$	33.14	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 34 d$
$55 199.31$	33.31	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 34 d$
$55 200.78$	33.56	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 36 s$
$55 202.51$	33.86	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 35 d$
$55 207.64$	34.80	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 36 d$
$55 210.51$	35.37	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 38 s$
$55 212.14$	35.70	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 37 d$
$55 213.43$	35.97	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 37 d$
$55 216.78$	36.70	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 39 s$
$55 220.74$	37.63	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 40 s$
$55 222.39$	38.04	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 39 d$
$55 224.43$	38.56	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 41 s$
$55 226.17$	39.02	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 40 d$
$55 228.02$	39.53	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 42 s$
$55 229.56$	39.97	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 41 d$
$55 231.23$	40.47	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 43 s$
$55 232.54$	40.87	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 42 d$
$55 234.37$	41.45	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 44 s$
$55 235.37$	41.78	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 43 d$
$55 237.44$	42.49	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 45 s$
$55 238.19$	42.75	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 44 d$
$55 240.02$	43.42	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 46 s$
$55 241.48$	43.97	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 45 d$
$55 242.38$	44.33	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 47 s$
$55 244.05$	45.01	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 46 d$
$55 244.79$	45.31	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 48 s$
$55 246.06$	45.86	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 47 d$
$55 247.63$	46.57	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 49 s$
$55 249.38$	47.40	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 50 s$
$55 250.28$	47.84	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 49 d$
$55 251.36$	48.39	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 51 s$
$55 253.25$	49.39	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 52 s$
$55 255.02$	50.39	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 53 s$
$55 256.59$	51.34	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 54 s$

Energy $({cm}^{- 1})$	$ν_{2}$	$ν_{3}$	Assignment
$54 609.40$	14.03	12.62	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 15 d$
$54 659.13$	14.71	13.10	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 14 d$
$54 684.90$	15.09	13.38	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 16 d$
$54 685.77$	15.11	13.39	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 16 d$
$54 722.67$	15.72	13.81
$54 753.47$	16.30	14.19	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 15 d$
$54 754.05$	16.31	14.20	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 15 d$
$54 787.25$	17.01	14.65	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 18 d$
$54 814.56$	17.66	15.06	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 16 d$
$54 815.90$	17.69	15.08	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 16 d$
$54 820.16$	17.80	15.15	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 16 d$
$54 823.96$	17.90	15.21	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 16 d$
$54 824.50$	17.91	15.22	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 16 d$
$54 827.42$	17.99	15.27	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 19 d$
$54 830.45$	18.07	15.32	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 19 d$
$54 831.78$	18.10	15.34	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 19 d$
$54 833.07$	18.14	15.36	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 19 d$
$54 833.88$	18.16	15.37	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 19 d$
$54 840.16$	18.33	15.48	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 18 s$
$54 842.27$	18.39	15.51	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 18 s$
$54 846.20$	18.51	15.58	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 21 s$
$54 846.78$	18.52	15.59	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 21 s$
$54 848.07$	18.56	15.61
$54 861.47$	18.96	15.85	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 20 d$
$54 862.49$	19.00	15.87	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 20 d$
$54 863.70$	19.03	15.89	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 20 d$
$54 865.46$	19.09	15.92	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 20 d$
$54 873.48$	19.35	16.07	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 17 d$
$54 876.48$	19.45	16.13	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 17 d$
$54 892.70$	20.02	16.45	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 21 d$
$54 893.63$	20.05	16.47	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 21 d$
$54 896.32$	20.15	16.52	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 19 s$
$54 905.68$	20.51	16.72	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 23 s$
$54 911.08$	20.72	16.84	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 22 d$
$54 912.32$	20.77	16.86	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 22 d$
$54 915.31$	20.90	16.93	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 22 d$
$54 917.45$	20.99	16.98	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 22 d$
$54 923.93$	21.27	17.12	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 18 d$
$54 925.24$	21.32	17.15	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 18 d$
$54 939.78$	22.00	17.50	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 23 d$
$54 940.56$	22.03	17.52	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 23 d$
$54 943.27$	22.17	17.58	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 20 s$
$54 949.43$	22.48	17.74	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 25 s$
$54 957.68$	22.92	17.95	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 24 d$
$54 958.59$	22.97	17.97	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 24 d$
$54 960.56$	23.08	18.03	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 19 d$
$54 964.48$	23.30	18.13	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 19 d$
$54 967.93$	23.50	18.23	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 26 s$
$54 972.02$	23.75	18.34	Unknown large peak
$54 973.36$	23.83	18.38
$54 974.57$	23.90	18.41	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 25 d$
$54 975.79$	23.98	18.45	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 25 d$
$54 976.77$	24.04	18.48	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 25 d$
$54 978.25$	24.14	18.52	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 21 s$
$54 983.50$	24.48	18.67	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 27 s$
$54 984.10$	24.52	18.69	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 27 s$
$54 988.00$	24.79	18.81
$54 991.54$	25.04	18.92	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 26 d$
$54 997.67$	25.49	19.11	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 28 s$ or $3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 20 d$
$54 998.21$	25.53	19.13	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 28 s$ or $3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 20 d$
$55 005.13$	26.07	19.35	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 27 d$
$55 007.69$	26.28	19.43	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 22 s$
$55 009.11$	26.40	19.48	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 29 s$
$55 009.72$	26.45	19.50	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 29 s$
$55 014.57$	26.87	19.67	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 28 d$
$55 015.93$	26.99	19.72	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 28 d$
$55 024.69$	27.81	20.03	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 29 d$ or $3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 21 d$
$55 025.43$	27.88	20.06	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 29 d$ or $3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 21 d$
$55 028.26$	28.16	20.16	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 29 d$ or $3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 21 d$
$55 035.34$	28.91	20.43	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 30 d$ or $3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 23 s$
$55 036.42$	29.03	20.47	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 30 d$ or $3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 23 s$
$55 037.72$	29.18	20.52	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 30 d$ or $3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 23 s$
$55 042.42$	29.73	20.71	Unknown large peak
$55 044.82$	30.02	20.81	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 31 d$
$55 045.19$	30.06	20.82	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 31 d$
$55 049.33$	30.59	21.00	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 33 s$
$55 050.74$	30.78	21.06	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 22 d$
$55 051.40$	30.86	21.09	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 22 d$
$55 053.54$	31.15	21.18	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 32 d$
$55 059.93$	32.07	21.46	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 33 d$
$55 061.45$	32.30	21.53	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 24 s$
$55 063.22$	32.58	21.61	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 35 s$
$55 065.03$	32.87	21.69	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 34 d$
$55 066.16$	33.05	21.75	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 34 d$
$55 071.31$	33.94	21.99	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 35 d$
$55 073.47$	34.33	22.10	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 23 d$
$55 077.27$	35.05	22.29	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 36 d$
$55 078.17$	35.23	22.33	Unknown large peak
$55 080.55$	35.71	22.45	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 25 s$ or Unknown large peak
$55 082.14$	36.04	22.53	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 37 d$
$55 084.26$	36.51	22.65	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 39 s$
$55 085.71$	36.83	22.72	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 38 d$
$55 086.61$	37.04	22.77	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 38 d$
$55 088.27$	37.43	22.86	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 40 s$
$55 089.21$	37.66	22.91	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 24 d$
$55 091.06$	38.11	23.01	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 39 d$
$55 092.24$	38.41	23.08	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 41 s$
$55 094.68$	39.06	23.22	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 40 d$
$55 097.36$	39.81	23.37	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 41 d$
$55 098.21$	40.06	23.42	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 41 d$
$55 099.37$	40.40	23.49	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 43 s$ or $3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 26 s$
$55 099.93$	40.57	23.52	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 43 s$ or $3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 26 s$
$55 101.51$	41.06	23.62	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 42 d$
$55 103.25$	41.62	23.72	Unknown large peak
$55 105.70$	42.45	23.87	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 45 s$
$55 106.36$	42.68	23.91	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 25 d$
$55 108.99$	43.64	24.08	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 25 d$
$55 110.34$	44.17	24.17	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 45 d$
$55 112.75$	45.14	24.32	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 46 d$
$55 113.73$	45.56	24.39	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 48 s$
$55 115.47$	46.33	24.50	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 27 s$
$55 123.60$	50.52	25.07	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 26 d$
$55 126.25$	52.15	25.26	$3 d^{2} 4 s ({}^{4}F_{7 ∕ 2}) 26 d$

Energy $({cm}^{- 1})$	$ν_{1}$	$ν_{2}$	Assignment
$54 745.42$	18.32	16.14	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 17 d$
$54 747.38$	18.37	16.18	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 17 d$
$54 760.87$	18.77	16.45	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 19 s$
$54 771.47$	19.09	16.66	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 20 d$
$54 788.01$	19.64	17.03	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 18 d$
$54 788.93$	19.67	17.05	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 18 d$
$54 789.57$	19.69	17.06	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 18 d$
$54 794.10$	19.85	17.16	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 18 d$
$54 801.89$	20.14	17.35	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 21 d$
$54 802.49$	20.16	17.36	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 21 d$
$54 822.87$	20.97	17.87	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 22 d$
$54 823.89$	21.01	17.89	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 22 d$
$54 824.49$	21.04	17.91	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 22 d$
$54 826.92$	21.14	17.97	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 22 d$
$54 829.18$	21.24	18.03	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 19 d$
$54 831.72$	21.35	18.10	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 19 d$
$54 832.92$	21.40	18.13	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 19 d$
$54 835.30$	21.51	18.20	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 24 s$
$54 842.88$	21.86	18.41	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 23 d$
$54 843.54$	21.89	18.43	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 23 d$
$54 846.05$	22.01	18.50	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 21 s$
$54 846.35$	22.03	18.51	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 21 s$
$54 848.04$	22.11	18.56	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 23 d$
$54 852.31$	22.32	18.69	Unknown large peak
$54 853.71$	22.40	18.73
$54 856.50$	22.54	18.81	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 25 s$
$54 856.93$	22.56	18.82	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 25 s$
$54 858.42$	22.64	18.87	Unknown large peak
$54 862.25$	22.85	18.99	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 20 d$
$54 862.91$	22.88	19.01	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 20 d$
$54 864.19$	22.95	19.05	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 24 d$ or $3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 20 d$
$54 865.72$	23.04	19.10	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 24 d$ or $3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 20 d$
$54 867.13$	23.12	19.14	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 24 d$ or $3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 20 d$
$54 867.53$	23.14	19.16	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 24 d$
$54 867.79$	23.15	19.16	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 24 d$
$54 868.96$	23.22	19.20	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 24 d$
$54 871.10$	23.34	19.27
$54 872.31$	23.41	19.31
$54 873.86$	23.50	19.36	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 26 s$
$54 874.20$	23.52	19.37	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 26 s$
$54 876.29$	23.65	19.44	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 22 s$
$54 876.64$	23.67	19.45	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 22 s$
$54 877.61$	23.73	19.49
$54 877.98$	23.75	19.50
$54 878.28$	23.77	19.51
$54 881.29$	23.96	19.61	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 25 d$
$54 883.33$	24.09	19.68	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 25 d$
$54 883.61$	24.10	19.69	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 25 d$
$54 885.53$	24.23	19.76	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 25 d$ or Unknown large peak
$54 890.17$	24.53	19.92	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 27 s$
$54 892.53$	24.69	20.01	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 21 d$
$54 893.36$	24.75	20.04	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 21 d$
$54 893.93$	24.79	20.06	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 21 d$
$54 895.41$	24.89	20.12	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 26 d$
$54 896.25$	24.95	20.15	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 26 d$
$54 898.76$	25.13	20.24	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 26 d$
$54 901.73$	25.35	20.35	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 28 s$
$54 902.70$	25.42	20.39	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 28 s$
$54 904.80$	25.58	20.47	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 23 s$
$54 905.44$	25.63	20.50	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 23 s$
$54 909.28$	25.93	20.65	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 27 d$
$54 910.19$	26.00	20.69	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 27 d$
$54 910.80$	26.05	20.71	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 27 d$
$54 911.91$	26.14	20.76	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 27 d$
$54 916.42$	26.52	20.94	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 29 s$
$54 917.22$	26.58	20.98	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 29 s$
$54 918.31$	26.68	21.02	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 22 d$
$54 919.05$	26.74	21.05	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 22 d$
$54 920.68$	26.88	21.12	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 22 d$
$54 921.35$	26.94	21.15	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 28 d$
$54 922.20$	27.02	21.19	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 28 d$
$54 923.84$	27.17	21.26	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 28 d$
$54 925.10$	27.29	21.32	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 28 d$
$54 925.99$	27.37	21.36	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 30 s$
$54 926.70$	27.43	21.39	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 30 s$
$54 927.55$	27.51	21.43	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 24 s$
$54 929.42$	27.69	21.51	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 24 s$
$54 933.45$	28.09	21.69	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 29 d$
$54 935.04$	28.25	21.77	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 29 d$
$54 935.73$	28.33	21.80	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 29 d$
$54 937.83$	28.55	21.90	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 23 d$
$54 940.03$	28.78	22.01	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 23 d$
$54 940.93$	28.88	22.05	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 23 d$
$54 943.83$	29.20	22.19	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 30 d$
$54 944.10$	29.23	22.21	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 30 d$
$54 949.70$	29.89	22.49	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 31 d$ or $3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 25 s$
$54 950.39$	29.98	22.53	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 31 d$ or $3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 25 s$
$54 951.04$	30.06	22.56	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 31 d$
$54 951.45$	30.11	22.58	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 31 d$
$54 955.00$	30.56	22.77	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 33 s$
$54 955.65$	30.65	22.81	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 33 s$
$54 957.76$	30.93	22.92	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 32 d$
$54 958.64$	31.05	22.97	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 32 d$
$54 959.89$	31.22	23.04	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 24 d$
$54 960.63$	31.32	23.08	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 24 d$
$54 961.54$	31.45	23.13	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 24 d$
$54 962.09$	31.53	23.16	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 34 s$
$54 962.48$	31.58	23.19	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 34 s$
$54 963.92$	31.79	23.27	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 33 d$
$54 964.82$	31.92	23.32	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 33 d$
$54 966.02$	32.10	23.39	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 33 d$
$54 967.73$	32.36	23.49	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 26 s$
$54 968.78$	32.53	23.55	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 35 s$ or $3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 26 s$
$54 971.95$	33.04	23.74	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 34 d$
$54 972.51$	33.13	23.78	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 34 d$
$54 973.55$	33.30	23.84	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 36 s$
$54 974.31$	33.43	23.89	$3 d^{2} 4 s ({}^{4}F_{3 ∕ 2}) 36 s$
$54 975.68$	33.67	23.97	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 25 d$
$54 976.68$	33.84	24.04	$3 d^{2} 4 s ({}^{4}F_{5 ∕ 2}) 25 d$
$54 977.59$	34.00	24.10	$3 d^{2} 4 s$