Regularities in s-electron binding enegies in lNsM configurations*

K. Rajnak; B. W. Shore

doi:10.1364/JOSA.68.000360

Journal of the Optical Society of America
Vol. 68,
Issue 3,
pp. 360-367
(1978)
•https://doi.org/10.1364/JOSA.68.000360

Regularities in s-electron binding enegies in l^Ns^M configurations

K. Rajnak and B. W. Shore

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
K. Rajnak and B. W. Shore, "Regularities in s-electron binding enegies in lNsM configurations*," J. Opt. Soc. Am. 68, 360-367 (1978)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

We present a theoretical explanation for observed regularities in s -electron binding energies in l^Ns² and l^Ns: viewed as a function of N, the curves form straight lines, joined continuously at the half-filled shell. The change in slope can be interpreted as an effective exchange integral G_l(l, s). We show that values of the exchange integral obtained from fitting ionization-energy curves generally agree with values obtained in other ways.

Full Article | PDF Article

Corrections

K. Rajnak and B. W. Shore, "Errata: Regularities in s-electron binding energies in lNsM configurations," J. Opt. Soc. Am. 68, 1649-1649 (1978)
https://opg.optica.org/josa/abstract.cfm?uri=josa-68-11-1649

More Like This

Errata: Regularities in s-electron binding energies in lNsM configurations

K. Rajnak and B. W. Shore
J. Opt. Soc. Am. 68(11) 1649-1649 (1978)

First ionization potentials of lanthanides by laser spectroscopy*

E. F. Worden, R. W. Solarz, J. A. Paisner, and J. G. Conway
J. Opt. Soc. Am. 68(1) 52-61 (1978)

Extensive theoretical analysis of the f⁶d and f⁸d configurations. Application to 4f⁸5d6s² in Tb i

C. Bauche-Arnoult, J. Sinzelle, and A. Bachelier
J. Opt. Soc. Am. 68(3) 368-374 (1978)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (5)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (14)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

		a	b	σ^a	G_l(l, s; BE)	G_l(l, s; EN)
4f	Exp^f	440 ± 20	42 800 ± 80	84	220 ± 23	206 ± 6^c
0 → +1	HFR	337 ± 3	37 400 ± 20	14	225 ± 3
3d	Exp^d	1 820 ± 80	51 300 ± 200	270	1 300 ± 100	1588^e
0 → +1	HF	1 420 ± 50	45 300 ± 200	170	1 300 ± 60	~1900
4d	Exp^d	1 500 ± 200	51 700 ± 700	600	1 200 ± 200
0 → +1	Exp^e	1 100 ± 100	53 200 ± 400	300	1 700 ± 100	2117^g
	HFR	1 200 ± 100	43 400 ± 300	300	1 700 ± 100
4d
+1 → +1	Exp^d,^f	5 700 ± 200	95 600 ± 1000	600	3 100 ± 300
5d
0 → +1	Exp^d	1 400 ± 500	58 000 ± 1700	1200	2 400 ± 600
0 → +
2p	Exp^d	27 000 ± 2000	78 000 ± 3000	6000	48 000 ± 3000	18000–38000^h
0 → +1	HF	26 000 ± 3000	69 000 ± 4000	7000	57 000 ± 4000
+1 → +2	Exp^d	45 000 ± 2000	205 000 ± 3000	6000	56 000 ± 3000
+2 → +3	Exp^d	63 000 ± 2000	387 000 ± 2000	5000	63 000 ± 3000	24000–47000ⁱ
3p	Exp^d	21 600 ± 500	64 000 ± 1000	1500	13 500 ± 700	~14900^j
0 → +1	HF	19 000 ± 1300	60 000 ± 2000	3700	33 000 ± 2000
4p	Exp^d	26 000 ± 3000	68 000 ± 5000	7000	−2 000 ± 4000	~14860^k
0 → +1	HFR	16 500 ± 800	69 100 ± 1000	2400	27 000 ± 1000
5p	Exp^d	22 000 ± 2000	66 000 ± 4000	5000	−3 000 ± 3000
0 → +1	HFR	14 300 ± 600	66 000 ± 1000	2000	22 000 ± 1000

	N	w(f^Ns) − w(f^N)		IP^a (eV)	E(f^Ns)^b		E(f^Ns)^c (cm⁻¹)

		(cm⁻¹)	(eV)		(eV)	(cm⁻¹)
Pr	1	214 800	26.64	38.98 (2)	12.34 (12)	99 600 ± 970	100 259
Nd	2	218 100	27.03	40.41 (20)	13.38 (30)	107 900 ± 2400	(110 000 ± 5 000)
Pm	3	221 200	27.43	41.1 (3)	13.67 (40)	110 300 ± 3200	(113 000 ± 5 000)
Sm	4	224 400	27.82	41.4 (4)	13.58 (50)	109 500 ± 4000	(113 000 ± 6 000)
Eu	5	227 600	28.22	42.6 (3)	14.39 (40)	116 000 ± 3200	(120 000 ± 5 000)
Gd	6	230 800	28.61	44.0 (3)	15.391 (40)	124 100 ± 3200	(130 000 ± 4 000)
Tb	7	233 800	28.99	39.79 (20)	10.80 (30)	87 100 ± 2400	(93 000 ± 5 000)
Dy	8	236 000	29.26	41.47 (20)	12.21 (30)	98 500 ± 2400	(105 000 ± 5 000)
Ho	9	238 400	29.55	42.5 (3)	12.95 (40)	104 400 ± 3200	(122 000 ± 5 000)
Er	10	240.700	29.84	42.65 (20)	12.81 (30)	103 300 ± 2400	(110 000 ± 5 000)
Tm	11	243 100	30.14	42.69 (20)	12.56 (30)	101 300 ± 2400	(108 000 ± 5 000)
Yb	12	245 400	30.46	43.74 (20)	13.28 (30)	107 100 ± 2400	(114 000 ± 4 000)
Lu	13	247 700	30.72	45.19 (2)	14.47 (12)	116 700 ± 970	116 798

		a	b	a′	b′	σ
+1 → +2	HF	1270 ± 10	79 655 ± 70	885 ± 7	82 354 ± 71	77
	Exp.	1428 ± 10	80 797 ± 29	1076 ± 10	83 262 ± 32	72
	Exp.-HF	158	1142	231	908
+2 → +3	HF	2102 ± 4	139 219 ± 13	1621 ± 2	142 581 ± 43	19
	Exp.	2261 ± 11	141 438 ± 54	1688 ± 14	145 449 ± 57	114
	Exp.-HF	159	2219	67	2868
+3 → +4	HF	3022 ± 8	208 360 ± 38	2444 ± 8	212 408 ± 40	54
	Exp.-HF	160	3296	−97	5048
	(Extrapolated)
	Exp.	3182	211 656	2347	217 236
	(Extrapolated)

Comparison with experimental fourth IPs
		W(l^Ns) − W(l^N)

		Calc.	Exp.
N = 1	Pr	214 840	214 130 ± 160
N = 13	Lu	247 760	247 680 ± 160

		a	b	a′	b′
4f	HF	366.5	37 392	621.6	35 606
	Exp	440.5	42 822	660.8	41 280
	Δ = Exp − HF	74.0	5 430	39.2	5 674
5f	HF	294.0	39 932	799.0	36 397
	“Exp” = HF	368.0	45 362	838.2	42 071
	+ Δ

N	Atom	From f^Ns² → f^Nss′ interval^a	Eq. (9)
1	Ac^b		45 730^c
2	Th^b		46 098^c
3	Pa^b		46 466^c
4	U^b		46 834^c
5	Np^b		47 202^c
6	Pu	48 890 ± 200	47 570
7	Am	48 340 ± 80	47 938
8	Cm	48 560 ± 200	48 800
9	Bk	50 240 ± 200	49 600
10	Cf	50 800 ± 200	50 500
11	Es	51 800 ± 200	51 300
12	Fm	52 400 ± 600	52 100
13	Md	53 100 ± 600	53 000
14	No	53 600 ± 600	53 800

Abstract

Corrections

Cited By

Figures (5)

Tables (5)

Equations (14)

Journal of the Optical Society of America