Two-color laser photoionization spectroscopy of Ti i: multichannel quantum defect theory analysis and a new ionization potential

J. E. Sohl; Yang Zhu; R. D. Knight

doi:10.1364/JOSAB.7.000009

Journal of the Optical Society of America B
Vol. 7,
Issue 1,
pp. 9-14
(1990)
•https://doi.org/10.1364/JOSAB.7.000009

Two-color laser photoionization spectroscopy of Ti i: multichannel quantum defect theory analysis and a new ionization potential

J. E. Sohl, Yang Zhu, and R. D. Knight

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J. E. Sohl, Yang Zhu, and R. D. Knight, "Two-color laser photoionization spectroscopy of Ti i: multichannel quantum defect theory analysis and a new ionization potential," J. Opt. Soc. Am. B 7, 9-14 (1990)

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Abstract

Two-photon, double-resonance photoionization spectroscopy has been used to study highly excited bound and autoionizing states in Ti (Ti i). Multichannel quantum defect theory has been used to analyze the spectra and to determine the ionization potential of Ti. A new ionization potential of 55 072.5 ± 0.3 cm⁻¹ is reported, which differs significantly from the previously accepted value.

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Observed Energy (cm⁻¹)	n	ν
Unperturbed 3d²4s(a⁴F_7/2)nd series
55 092.92	24	23.12 ± 0.01
55 109.09	25	24.09
55 124.01	26	25.10
55 137.03	27	26.09
55 148.60	28	27.08
55 158.71	29	28.05 ± 0.02
55 168.52	30	29.09
55 176.77	31	30.06
55 184.38	32	31.05
^a	33
55 197.91	34	33.07 ± 0.03
55 203.68	35	34.07
55 209.01	36	35.07 ± 0.04
55 213.76	37	36.04
^b	38
55 222.60	39	38.09 ± 0.05
55 226.53	40	39.12
55 229.84	41	40.06
55 232.92	42	40.99 ± 0.06
Perturbed 3d²4s(a⁴F_7/2)nd series
55 168.07	30	29.04
55 176.38	31	30.01
55 183.94	32	30.99
55 190.43	33	31.91
55 196.78	34	32.89
55 202.28	35	33.82
55 207.48	36	34.77
55 211.63	37	35.60
55 216.62	38	36.67
55 220.45	39	37.56
55 224.60	40	38.60
3d²4s(a⁴F_9/2) series
55 130.56	19	18.09
55 164.29	20	19.07
55 194.32	21	20.10
55 218.15	22	21.04

Observed Energy (cm⁻¹)	Calculated Energy (cm⁻¹)	Difference	ν₁	ν₂	n₁	n₂
54 771.45	54 771.50	0.05	19.10	16.67	20
54 802.41	54 802.19	−0.22	20.16	17.36	21
54 824.19	54 823.90	−0.29	21.03	17.90	22
54 831.63	54 831.50	−0.13	21.35	18.10		19
54 847.86	54 848.02	0.16	22.11	18.56	23
54 862.03	54 862.28	0.25	22.84	18.98		20
54 868.81	54 868.72	−0.09	23.22	19.20	24
54 883.37	54 883.35	−0.02	24.09	19.69	25
54 892.76	54 892.77	0.01	24.72	20.02		21
54 892.76	54 892.77	0.01	24.72	20.02		21
54 898.82	54 899.29	0.47	25.15	20.25	26
54 910.65	54 911.10	0.45	26.05	20.71	27
54 918.27	54 918.31	0.04	26.68	21.03		22
54 923.77	54 923.83	0.06	27.17	21.26	28
54 933.27	54 933.33	0.06	28.09	21.69	29
54 940.15	54939.95	−0.20	28.81	22.02		23
54 943.82	54 943.78	−0.04	29.22	22.20	30
54 951.86	54 951.36	−0.50	30.18	22.61	31
54 961.04	54 960.76	−0.28	31.39	23.11	32	24
54 966.33	54 966.17	−0.16	32.17	23.41	33
54 972.29	54 972.08	−0.21	33.11	23.77	34
54 975.89	54 976.17	0.28	33.72	23.99		25
54 978.60	54 978.72	0.12	34.21	24.17	35
54 983.23	54 983.45	0.22	35.08	24.47	36
54 988.09	54 988.02	−0.08	36.08	24.80	37
54 992.91	54 993.23	0.32	37.16	25.14	38	26
54 996.90	54 996.93	0.03	38.13	25.44	39
55 000.31	55 000.56	0.25	39.02	25.70	40
55 004.93	55 005.16	0.23	40.33	26.06	41	27
55 007.68	55 007.65	−0.03	41.18	26.29	42
55 010.67	55 010.53	−0.14	42.17	26.54	43
55 013.61	55 013.24	−0.37	43.21	26.79	44
55 016.84	55 016.78	−0.06	44.45	27.08	45	28
55 018.87	55 018.64	−0.23	45.29	27.27	46

Observed Energy (cm⁻¹)	Calculated Energy (cm⁻¹)	Difference	ν₁	ν₂	n₁	n₂
55 016.69	55 016.90	0.21	27.06	19.74	28
55 024.89	55 024.81	−0.08	27.83	20.04		21
55 028.84	55 028.47	−0.37	28.22	20.18	29
55 037.05	55 037.04	−0.01	29.11	20.50	30
55 045.67	55 045.16	−0.51	30.13	20.84	31
55 050.05	55 050.47	0.42	30.69	21.03		22
55 053.58	55 053.68	0.10	31.16	21.18	32
55 059.89	55 060.13	0.24	32.07	21.46	33
55 066.11	55 066.27	0.16	33.05	21.74	34
55 071.19	55 071.40	0.21	33.92	21.99	35
55 073.44	55 073.48	0.04	34.33	22.10		23
55 077.13	55 077.67	0.54	35.03	22.28	36
55 082.49	55 082.37	−0.12	36.12	22.55	37
55 086.74	55 086.73	−0.01	37.07	22.78	38
55 091.01	55 090.48	−0.53	38.11	23.01	39
55 092.17	55 092.24	0.07	38.40	23.08		24
55 095.45	55 094.99	−0.46	39.28	23.26	40
55 098.33	55 098.38	0.05	40.10	23.43	41
55 101.40	55 101.59	0.19	41.03	23.61	42
55 104.44	55 104.57	0.13	42.02	23.80	43
55 109.01	55 108.74	−0.27	43.66	24.08		25
55 110.12	55 110.38	0.26	44.09	24.15	45
55 112.68	55 112.70	0.02	45.12	24.32	46
55 115.43	Not used		46.31		47
55 117.59	Not used		47.32		48
55 119.55	Not used		48.30		49
55 123.81	55 123.60	−0.21	50.65	25.08		26

Observed Energy (cm⁻¹)	n	ν
Unperturbed 3d²4s(a⁴F_7/2)nd series
55 092.92	24	23.12 ± 0.01
55 109.09	25	24.09
55 124.01	26	25.10
55 137.03	27	26.09
55 148.60	28	27.08
55 158.71	29	28.05 ± 0.02
55 168.52	30	29.09
55 176.77	31	30.06
55 184.38	32	31.05
^a	33
55 197.91	34	33.07 ± 0.03
55 203.68	35	34.07
55 209.01	36	35.07 ± 0.04
55 213.76	37	36.04
^b	38
55 222.60	39	38.09 ± 0.05
55 226.53	40	39.12
55 229.84	41	40.06
55 232.92	42	40.99 ± 0.06
Perturbed 3d²4s(a⁴F_7/2)nd series
55 168.07	30	29.04
55 176.38	31	30.01
55 183.94	32	30.99
55 190.43	33	31.91
55 196.78	34	32.89
55 202.28	35	33.82
55 207.48	36	34.77
55 211.63	37	35.60
55 216.62	38	36.67
55 220.45	39	37.56
55 224.60	40	38.60
3d²4s(a⁴F_9/2) series
55 130.56	19	18.09
55 164.29	20	19.07
55 194.32	21	20.10
55 218.15	22	21.04

Observed Energy (cm⁻¹)	Calculated Energy (cm⁻¹)	Difference	ν₁	ν₂	n₁	n₂
54 771.45	54 771.50	0.05	19.10	16.67	20
54 802.41	54 802.19	−0.22	20.16	17.36	21
54 824.19	54 823.90	−0.29	21.03	17.90	22
54 831.63	54 831.50	−0.13	21.35	18.10		19
54 847.86	54 848.02	0.16	22.11	18.56	23
54 862.03	54 862.28	0.25	22.84	18.98		20
54 868.81	54 868.72	−0.09	23.22	19.20	24
54 883.37	54 883.35	−0.02	24.09	19.69	25
54 892.76	54 892.77	0.01	24.72	20.02		21
54 892.76	54 892.77	0.01	24.72	20.02		21
54 898.82	54 899.29	0.47	25.15	20.25	26
54 910.65	54 911.10	0.45	26.05	20.71	27
54 918.27	54 918.31	0.04	26.68	21.03		22
54 923.77	54 923.83	0.06	27.17	21.26	28
54 933.27	54 933.33	0.06	28.09	21.69	29
54 940.15	54939.95	−0.20	28.81	22.02		23
54 943.82	54 943.78	−0.04	29.22	22.20	30
54 951.86	54 951.36	−0.50	30.18	22.61	31
54 961.04	54 960.76	−0.28	31.39	23.11	32	24
54 966.33	54 966.17	−0.16	32.17	23.41	33
54 972.29	54 972.08	−0.21	33.11	23.77	34
54 975.89	54 976.17	0.28	33.72	23.99		25
54 978.60	54 978.72	0.12	34.21	24.17	35
54 983.23	54 983.45	0.22	35.08	24.47	36
54 988.09	54 988.02	−0.08	36.08	24.80	37
54 992.91	54 993.23	0.32	37.16	25.14	38	26
54 996.90	54 996.93	0.03	38.13	25.44	39
55 000.31	55 000.56	0.25	39.02	25.70	40
55 004.93	55 005.16	0.23	40.33	26.06	41	27
55 007.68	55 007.65	−0.03	41.18	26.29	42
55 010.67	55 010.53	−0.14	42.17	26.54	43
55 013.61	55 013.24	−0.37	43.21	26.79	44
55 016.84	55 016.78	−0.06	44.45	27.08	45	28
55 018.87	55 018.64	−0.23	45.29	27.27	46

Abstract

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Figures (4)

Tables (3)

Equations (4)

Journal of the Optical Society of America B