Extended identifications of odd energy levels of Si i: Lu–Fano graphical analysis

Charles M. Brown; S. G. Tilford; Marshall L. Ginter

doi:10.1364/JOSA.65.000385

Extended identifications of odd energy levels of Si i: Lu–Fano graphical analysis

Charles M. Brown, S. G. Tilford, and Marshall L. Ginter

Journal of the Optical Society of America
Vol. 65,
Issue 4,
pp. 385-388
(1975)
•https://doi.org/10.1364/JOSA.65.000385

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Charles M. Brown, S. G. Tilford, and Marshall L. Ginter, "Extended identifications of odd energy levels of Si i: Lu–Fano graphical analysis," J. Opt. Soc. Am. 65, 385-388 (1975)

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History
- Original Manuscript: December 14, 1974
- Published: April 1, 1975

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Abstract

The Lu–Fano graphical technique has been applied to the analysis of the strongly interacting J = 2 and J = 3 Rydberg levels of Si i which arise from the 3pnd configurations. Approximately 20 new J = 3 and 40 new J = 2 energy levels are reported. A periodic intensity variation in the ¹D₂–3pnd J = 3 transitions is discussed. Twenty-three new 3pnd¹P°₁ levels are reported.

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Energy levels
Predicted $n_{1}^{*}$	Observed $n_{1}^{*}$	$T_{2}^{°} ({cm}^{- 1})$	$^{3} P_{1} - T_{2}^{°} ({cm}^{- 1})$	$^{3} P_{2} - T_{2}^{°} ({cm}^{- 1})$	$^{1} D_{2} - T_{2}^{°} ({cm}^{- 1})$
19.542	19.543	65 460.22	65 383.4₀^a	65 237.06	…
19.908	19.910	65 470.7₂	65 393.59^b	65 247.56^b	…
20.174	20.19	65 478.3₆	65 401.27^b	65 255.17^b	…
20.577	20.578	65 488.40	…	65 265.20	59 189.58
20.925	20.911	65 496.59	65 419.51^b	65 273.39	…
21.355	21.350	65 506.81	…	…	59 207.96
21.673	21.688	65 514.2₅	65 437.1₀^b	65 291.11^b	^c
22.100	22.088	65 522.63	65 445.51	65 299.3₁	…
22.554	22.565	65 532.0₃	65 454.8₃	65 308.87
22.980	22.983	65 539.81	65 462.69	65 316.70^b	…
23.315	23.292	65 545.28	65 468.14	65 322.14	…
23.637	23.636	65 551.13	65 474.31^b	65 327.97	…
24.040	24.00	65 557.07	65 479.95	65 333.76^b	…
24.541	24.520	65 565.03	…	65 341.87	59 266.32
24.823	24.828	65 569.53	65 492.41	65 346.2^d	…
25.285	25.28	65 575.9₀	…	…	59 277.0₆
25.647	…	65 580.7^d	…	…	…
26.091	26.087	65 586.30	65 509.08^b	65 363.14	…
26.565	26.571	65 592.12	…	65 368.96	…
27.005	27.003	65 597.05	65 519.93	^b	…
27.464	27.45	65 601.9	65 524.77^b	…	…
27.796	27.800	65 605.56	65 528.46	65 382.38	…
28.150	…	65 609.1^d	^c	…	…
28.587	…	65 613.3^d	^c	…	…
28.982	28.975	65 616.84	65 539.72	65 393.59^b	…
29.534	29.52	65 621.6	65 544.5^e	^c	…
29.845	29.836	65 624.28	65 547.16	65 401.27^b	…
30.335	30.331	65 628.2₇	…	…	59 329.4₂
30.695	30.67	65 630.9	…	65 407.72^b	…
31.160	31.16	65 634.5	65 557.39^b	^b	…
31.603	31.52	65 637.1	…	65 413.9^b	…
32.063	32.05	65 640.7	65 563.61^b	…	…
32.561	32.553	65 644.03	…	65 420.87	…
33.006	33.034	65 646.99	65 569.87	…	…
33.517	33.53	65 649.95	…	65 426.79	…
33.920	33.923	65 652.19	65 575.07^b	65 429.08^b	^c
34.290	34.277	65 654.15	…	65 431.00	…
34.70	34.68	65 656.3₄	65 579.22^b	65 433.18^b	…
35.12	…	65 658.6^d	…	…	…
35.59	35.59	6560.9₀	65 583.78^b	…	…
36.00	35.98	65 662.80	65 585.68^a	…	…
36.56	…	65 665.4^d	…	…	…
36.93	36.95	65 667.2	65 590.08	…	…
37.52	37.57	65 669.7₉	65 592.67^a,^e	…	…
37.82	37.84	65 670.91	65 593.79	65 447.55^b	…
38.36	38.36	65 672.98	…	…	59 374.13

Predicted $n_{1}^{*}$	Energy levels		Observed transitions
Predicted $n_{1}^{*}$	Observed $n_{1}^{*}$	$T_{3}^{°} ({cm}^{- 1})$	$^{3} P_{2} - T_{3}^{°} ({cm}^{- 1})$	$^{1} D_{2} - T_{3}^{°} ({cm}^{- 1})$
25 662	…	65 580.9^a	…	^b
26.397	26.397	65 590.06	65 366.90	59 291.22
27.068	27.062	65 597.73	65 374.55	59 298.90
27.888	27.898	65 606.56	65 383.40	^c
28.828	28.837	65 615.61	65 392.44	59 316.77
29.780	29.794	64 623.93	65 401.27^d	59 325.08
30.703	30.67	65 630.8₈	65 407.72^d	…
31.632	…	65 637.9^a	…	…
32.356	32.365	65 642.79	65 419.51^d	59 343.94
33.104	33.106	65 647.43	65 424.24	59 348.61
33.933	33.93	65 652.2₄	65 429.08^d	59 353.69^d
34.880	34.908	65 657.50	65 434.33	59 358.65
35.840	35.815	65 662.00	65 438.8₂^d	59 363.17^d
36.799	36.864	65 666.8	65 443.5₄	59 368.05
37.773	37.790	65 670.71	65 447.55	…
38.724	…	65 674.4^a	…	…
39.677	39.721	65 678.0	65 454.83^d	…
40.636	…	65 681.1^a	…	…
41.470	…	65 683.7^a	…	…
42.31	42.41	65 686.5₄	^b	59 387.69
43.16	43.19	65 688.72	65 465.51	59 389.92
44.05	44.08	65 691.07	…	59 392.22
44.96	…	65 693.2^a	^b	^b
45.90	46.02	65 695.74	^b	59 396.89
46.88	46.82	65 697.5	65 474.31^d	…
47.86	…	65 699.6^a	…	…
48.84	48.82	65 701.5	65 478.33^d	59 402.79^d
49.82	49.7	65 703.1	65 479.95^d	^c

n	$n_{1}^{*}$	T_n^b (cm⁻¹)	n	$n_{1}^{*}$	T_n^b (cm⁻¹)
20	19.958	65 472.0₂^c	33	32.97	65 646.6₂
21	20.966	65 497.91	34	33.96	65 652.4₀
22	21.957	65 519.93	35	35.00	65 658.0^c
23	22.978	65 539.72	36	35.96^e	65 662.7^e
24	23.916	65 555.69	37	36.97	65 667.26
25	24.956	65 571.35	38	37.95	65 671.3₆^c
26	25.969	65 584.8₃^d	39	38.98	65 675.30
27	26.928	65 596.21	40	40.01	65 678.99
28	28.09₄	65 608.₅^d	41	40.99	65 682.2₄^c
29	28.92	65 616.3^c	42	41.96^e	65 685.2^e
30	29.94	65 625.1₅^c	43	42.98	65 688.15
31	30.97	65 633.15	44	44.02	65 690.9₃^c
32	31.97	65 640.16	∞		65 747.55

Energy levels
Predicted $n_{1}^{*}$	Observed $n_{1}^{*}$	$T_{2}^{°} ({cm}^{- 1})$	$^{3} P_{1} - T_{2}^{°} ({cm}^{- 1})$	$^{3} P_{2} - T_{2}^{°} ({cm}^{- 1})$	$^{1} D_{2} - T_{2}^{°} ({cm}^{- 1})$
19.542	19.543	65 460.22	65 383.4₀^a	65 237.06	…
19.908	19.910	65 470.7₂	65 393.59^b	65 247.56^b	…
20.174	20.19	65 478.3₆	65 401.27^b	65 255.17^b	…
20.577	20.578	65 488.40	…	65 265.20	59 189.58
20.925	20.911	65 496.59	65 419.51^b	65 273.39	…
21.355	21.350	65 506.81	…	…	59 207.96
21.673	21.688	65 514.2₅	65 437.1₀^b	65 291.11^b	^c
22.100	22.088	65 522.63	65 445.51	65 299.3₁	…
22.554	22.565	65 532.0₃	65 454.8₃	65 308.87
22.980	22.983	65 539.81	65 462.69	65 316.70^b	…
23.315	23.292	65 545.28	65 468.14	65 322.14	…
23.637	23.636	65 551.13	65 474.31^b	65 327.97	…
24.040	24.00	65 557.07	65 479.95	65 333.76^b	…
24.541	24.520	65 565.03	…	65 341.87	59 266.32
24.823	24.828	65 569.53	65 492.41	65 346.2^d	…
25.285	25.28	65 575.9₀	…	…	59 277.0₆
25.647	…	65 580.7^d	…	…	…
26.091	26.087	65 586.30	65 509.08^b	65 363.14	…
26.565	26.571	65 592.12	…	65 368.96	…
27.005	27.003	65 597.05	65 519.93	^b	…
27.464	27.45	65 601.9	65 524.77^b	…	…
27.796	27.800	65 605.56	65 528.46	65 382.38	…
28.150	…	65 609.1^d	^c	…	…
28.587	…	65 613.3^d	^c	…	…
28.982	28.975	65 616.84	65 539.72	65 393.59^b	…
29.534	29.52	65 621.6	65 544.5^e	^c	…
29.845	29.836	65 624.28	65 547.16	65 401.27^b	…
30.335	30.331	65 628.2₇	…	…	59 329.4₂
30.695	30.67	65 630.9	…	65 407.72^b	…
31.160	31.16	65 634.5	65 557.39^b	^b	…
31.603	31.52	65 637.1	…	65 413.9^b	…
32.063	32.05	65 640.7	65 563.61^b	…	…
32.561	32.553	65 644.03	…	65 420.87	…
33.006	33.034	65 646.99	65 569.87	…	…
33.517	33.53	65 649.95	…	65 426.79	…
33.920	33.923	65 652.19	65 575.07^b	65 429.08^b	^c
34.290	34.277	65 654.15	…	65 431.00	…
34.70	34.68	65 656.3₄	65 579.22^b	65 433.18^b	…
35.12	…	65 658.6^d	…	…	…
35.59	35.59	6560.9₀	65 583.78^b	…	…
36.00	35.98	65 662.80	65 585.68^a	…	…
36.56	…	65 665.4^d	…	…	…
36.93	36.95	65 667.2	65 590.08	…	…
37.52	37.57	65 669.7₉	65 592.67^a,^e	…	…
37.82	37.84	65 670.91	65 593.79	65 447.55^b	…
38.36	38.36	65 672.98	…	…	59 374.13

Predicted $n_{1}^{*}$	Energy levels		Observed transitions
Predicted $n_{1}^{*}$	Observed $n_{1}^{*}$	$T_{3}^{°} ({cm}^{- 1})$	$^{3} P_{2} - T_{3}^{°} ({cm}^{- 1})$	$^{1} D_{2} - T_{3}^{°} ({cm}^{- 1})$
25 662	…	65 580.9^a	…	^b
26.397	26.397	65 590.06	65 366.90	59 291.22
27.068	27.062	65 597.73	65 374.55	59 298.90
27.888	27.898	65 606.56	65 383.40	^c
28.828	28.837	65 615.61	65 392.44	59 316.77
29.780	29.794	64 623.93	65 401.27^d	59 325.08
30.703	30.67	65 630.8₈	65 407.72^d	…
31.632	…	65 637.9^a	…	…
32.356	32.365	65 642.79	65 419.51^d	59 343.94
33.104	33.106	65 647.43	65 424.24	59 348.61
33.933	33.93	65 652.2₄	65 429.08^d	59 353.69^d
34.880	34.908	65 657.50	65 434.33	59 358.65
35.840	35.815	65 662.00	65 438.8₂^d	59 363.17^d
36.799	36.864	65 666.8	65 443.5₄	59 368.05
37.773	37.790	65 670.71	65 447.55	…
38.724	…	65 674.4^a	…	…
39.677	39.721	65 678.0	65 454.83^d	…
40.636	…	65 681.1^a	…	…
41.470	…	65 683.7^a	…	…
42.31	42.41	65 686.5₄	^b	59 387.69
43.16	43.19	65 688.72	65 465.51	59 389.92
44.05	44.08	65 691.07	…	59 392.22
44.96	…	65 693.2^a	^b	^b
45.90	46.02	65 695.74	^b	59 396.89
46.88	46.82	65 697.5	65 474.31^d	…
47.86	…	65 699.6^a	…	…
48.84	48.82	65 701.5	65 478.33^d	59 402.79^d
49.82	49.7	65 703.1	65 479.95^d	^c

Abstract

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Tables (3)

Equations (2)

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