Binding Energies of Electrons in the Next Inner Subshell of Atoms and Ions from Boron to Zinc*

Wolfgang Lotz

doi:10.1364/JOSA.58.000236

Journal of the Optical Society of America
Vol. 58,
Issue 2,
pp. 236-240
(1968)
•https://doi.org/10.1364/JOSA.58.000236

Binding Energies of Electrons in the Next Inner Subshell of Atoms and Ions from Boron to Zinc

Wolfgang Lotz

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Wolfgang Lotz, "Binding Energies of Electrons in the Next Inner Subshell of Atoms and Ions from Boron to Zinc*," J. Opt. Soc. Am. 58, 236-240 (1968)

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Abstract

Binding energies of electrons in the next inner subshell are given for most ionization stages of the elements boron through zinc (Z=30). The binding energies of (inner) 2s and 3s electrons are calculated along isoelectronic sequences with full regard to experimental values, in the sense that experimental values are preferred in all cases of doubt. Similarities in the periodic table are taken into account.

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Species	T[eV]	Δ	Δ²	Δ³
P i	7.381
		2.462
S ii	9.843		−0.090
		2.372		0.079
Cl iii	12.215		−0.011
		2.361		0.015
A iv	14.576		+0.004
		2.365		0.005
K v	16.941		0.009
		2.374		0.005
Ca vi	19.315		0.014
		2.388		0.005
Sc vii	21.703		0.019
		2.407		0.005
Ti viii	24.110		0.024
		2.431		0.005
V ix	26.541		0.029
		2.460		0.005
Cr x	29.001		0.034
		2.494		0.005
Mn xi	31.495		0.039
		2.533		0.005
Fe xii	34.028		0.044
		2.577		0.005
Co xiii	36.605		0.049
		2.626		0.005
Ni xiv	39.231		0.054
		2.680		0.005
Cu xv	41.911		0.059
		2.739
Zn xvi	44.650

Z	$\underset{\to}{ζ}$	I	II	III	IV	V	VI	VII	VIII	IX	X	XI	XII	XIII	XIV	XV	XVI	XVII	XVIII	XIX	XX	XXI	XXII	XXIII	XXIV	XXV	XXVI

4	Be	2.725
5	B	3.571	4.629
6	C	4.182	5.332	6.493
7	N	10.924	5.800	7.091	*8.333
8	O	15.655	14.858	7.478	8.86	10.115
9	F	21.055	20.432	18.832	9.20	10.65	11.977
10	Ne		26.910	25.328	22.795	10.96	12.45	13.803
11	Na			32.787	30.212	26.763	12.74	14.26	15.628
12	Mg	2.709			38.623	35.113	30.740	14.54	16.08	17.455
13	Al	3.598	4.636			44.486	40.046	34.739	16.35	17.90	19.28
14	Si	4.132	5.309	*6.537			50.398	45.026	38.765	18.16	19.7	21.10
15	P	7.381	5.666	7.057	8.420			56.378	50.064	42.822	20.0	21.5	22.92
16	S	*8.929	9.843	7.28	8.82	10.299			62.436	55.17	46.92	21.8	23.4	24.7
17	Cl	10.66	11.576	12.215	8.96	10.60	12.168			68.59	60.37	51.06	23.6	25.2	26.6
18	A		13.479	14.106	14.576	10.69	12.39	14.022			74.86	65.66	55.25	25.4	27.0	28.4
19	K			16.193	16.636	16.941	12.45	14.19	15.866			81.26	71.06	59.5	27.3	28.8	30.2
20	Ca				18.898	19.175	19.315	14.2	15.99	17.684			87.8	76.6	63.8	29.1	30.6	32.0
21	Sc					21.624	21.739	21.703	16.0	17.79	19.49			94.5	82.2	68.2	30.9	32.5	33.8
22	Ti						24.377	24.333	24.11	17.8	19.6	21.30			101	88.0	72.7	32.7	34.3	35.7
23	V							27.172	26.97	26.54	19.6	21.4	23.10			109	94.0	77.2	34.5	36.1	37
24	Cr								30.020	29.65	29.00	21.4	23.2	24.9			116	100	82	36.4	38	39
25	Mn									32.93	32.38	31.49	23.2	25.0	26.7			123	106	87	38	40	41
26	Fe										35.92	35.19	34.03	25.0	26.8	28.5			131	113	91	40	42	43
27	Co											39.00	38.1	36.6	26.8	28.6	30.3			139	120	96	42	43	45
28	Ni												42.18	41.0	39.2	28.6	30.4	32.1			148	127	102	44	45	47
29	Cu													45.5	44.1	41.9	30.4	32.2	33.9			156	134	107	45	47	48
30	Zn														48.9	47.2	44.6	32.2	34.0	35.7			166	141	112	11	49

Z	$\underset{\to}{ζ}$	I	II	III	IV	V	VI	VII	VIII	IX	X	XI	XII	XIII	XIV	XV	XVI	XVII	XVIII	XIX	XX	XXI	XXII	XXIII	XXIV	XXV

5	B	12.93
6	C	*16.59	30.87
7	N	20.33	*36.69	*55.77
8	O	28.48	42.59	63.76	87.57
9	F	*37.85	*53.80	71.86	97.75	126.22
10	Ne	48.47	66.41	86.24	108.06	138.64	171.73
11	Na		80.09	101.95	125.67	151.14	186.40	224.12
12	Mg			118.76	144.43	172.01	201.08	241.03	283.38
13	Al	*10.62			164.47	193.86	225.20	257.79	302.50	349.52
14	Si	13.46	*22.88			217.17	250.19	285.24	321.31	370.8	422.52
15	P	*16.15	*26.78	38.58			276.85	313.44	352.15	391.7	445.9	502.42
16	S	20.20	30.69	43.8	57.60			343.49	383.60	425.97	468.9	527.9	589.2
17	Cl	*24.54	36.02	48.87	64.1	79.82			417.07	460.7	506.67	553.0	616.8	683.0
18	A	29.24	*41.74	55.49	70.38	87.6	105.19			497.6	544.8	594.29	643.9	712.7	783.7
19	K	18.7	47.90	62.45	78.05	95.11	114.2	133.69			585.1	635.8	688.9	741.8	815.4	891.3
20	Ca			70.08	86.44	103.82	123.0	144.0	165.3			679.7	733.8	790.4	846.7	925.1	1006
21	Sc				95.55	113.7	132.7	154.0	176.8	200.0			781.3	838.9	899.0	958.4	1042	1128
22	Ti					124.24	144.1	164.8	188.2	212.8	237.8			890	951.1	1015	1077	1165	1256
23	V						156.12	177.6	200.0	225.4	251.9	278.8			1006	1070	1137	1203	1296	1392
24	Cr							191.16	214.3	238.3	265.8	294.0	322.9			1129	1197	1267	1336	1434	1535
25	Mn								229.39	254.2	279.8	309.2	339.4	370.2			1259	1330	1404	1476	1579	1685
26	Fe									270.79	297.2	324.4	355.8	387.8	420.7			1397	1471	1548	1622	1731	1842
27	Co										315.4	393	372	406	439	474			1541	1619	1699	1776	1890	2007
28	Ni											363.2	393	423	458	494	531			1694	1775	1858	1938	2056	2178
29	Cu												414.3	446	477	514	552	591			1853	1938	2023	2106	2229	2357
30	Zn													468.6	502	535	574	613	654			2020	2108	2196	2281	2410

Seq.	A₀	A₁	A₂	A₃	A₄	ζ_min
H	+1.441	−0.3975	13.64649	−2.086⁻³	2.146⁻⁴	9
He	+2.234	+9.8175	13.64649	−2.086⁻³	2.146⁻⁴	9
Li	−0.763	2.7415	3.40010	+2.264⁻⁴	5.660⁻⁵	9
Be	+0.092	5.7725	3.40010	2.264⁻⁴	5.660⁻⁵	9
B	−1.60	6.122	3.4101	2.26⁻⁴	5.66⁻⁵	9
C	−0.94	8.452	3.4001	2.26⁻⁴	5.66⁻⁵	9
N	+1.05	10.522	3.4001	2.26⁻⁴	5.66⁻⁵	9
O	−2.12	11.692	3.4001	2.26⁻⁴	5.66⁻⁵	8
F	−0.63	13.892	3.4001	2.26⁻⁴	5.66⁻⁵	8
Ne	+0.45	16.262	3.4001	2.26⁻⁴	5.66⁻⁵	8
Na	−3.877	6.080	1.5373	4.025⁻⁴	2.012⁻⁵	7
Mg	−2.94	7.420	1.5373	4.02⁻⁴	2.01⁻⁵	5
Al	−3.40	6.460	1.5473	4.02⁻⁴	2.01⁻⁵	5
Si	−2.7	7.88	1.537	4.0⁻⁴	2.0⁻⁵	4
P	−1.69	9.170	1.5373	4.02⁻⁴	2.01⁻⁵	5
S	−1.88	9.580	1.5373	4.02⁻⁴	2.01⁻⁵	4
Cl	−0.83	10.850	1.5373	4.02⁻⁴	2.01⁻⁵	5
A	+ 0.66	12.140	1.5373	4.02⁻⁴	2.01⁻⁵	5
K	−14.50	7.91	1.60	0	0	6
Ca	−13.9	8.61	1.60	0	0	5
Sc	−13.8	9.21	1.60	0	0	5
Ti	−13.7	9.71	1.60	0	0	5
V	−13.7	10.61	1.60	0	0	5
Cr	−15.2	10.11	1.60	0	0	5
Mn	−14.8	10.91	1.60	0	0	5
Fe	−14.6	11.41	1.60	0	0	5
Co	−14.7	12.01	1.60	0	0	5

Seq.	A₀	A₁	A₂	A₃	A₄	ζ_min
Li	−1.15	2.767	3.4016	2.26⁻⁴	5.66⁻⁵	10
Be	−0.49	5.821	3.4020	2.48⁻⁴	3.10⁻⁵	10
B	−2.30	6.211	3.4027	5.09⁻⁴	6.94⁻⁵	10
C	−1.79	8.487	3.4030	4.51⁻⁴	4.53⁻⁵	10
N	−1.03	10.768	3.4013	0	0	12
0	−4.81	11.958	3.4013	0	0	12
F	−2.98	14.079	3.4013	0	0	12
Ne	−2.63	16.475	3.4013	0	0	12

Seq.	A₀	A₁	A₂	A₃	ζ_min
B	2.90	1.82	0	0	8
C	3.34	1.82	0	0	4
N	3.60	1.82	0	0	5
O	10.843	3.9947	−0.90⁻²	1.167⁻³	6
F	15.562	4.8927	−1.00⁻²	2.167⁻³	5
Ne	21.038	5.8720	−1.50⁻²	3.00⁻³	5
Al	3.30	1.80	0	0	9
Si	3.40	1.80	0	0	3
P	3.40	1.80	0	0	5
S	7.485	2.3727	−5.50⁻³	0.833⁻³	2
Cl	9.039	2.5400	−7.50⁻³	1.50⁻³	4
A	10.777	2.7175	−9.50⁻³	2.00⁻³	3

Seq.	A₀	A₁	A₂	A₃	A₄	ζ_min
B	1.30	7.942	3.4101	2.26⁻⁴	5.66⁻⁵	9
C	2.40	10.272	3.4001	2.26⁻⁴	5.66⁻⁵	8
N	4.65	12.342	3.4001	2.26⁻⁴	5.66⁻⁵	8
O	8.72	15.678	3.3911	13.93⁻⁴	5.66⁻⁵	9
F	14.93	18.785	3.3901	23.93⁻⁴	5.66⁻⁵	8
Ne	21.49	22.134	3.3851	32.26⁻⁴	5.66⁻⁵	8
Al	−0.10	8.260	1.5473	4.02⁻⁴	2.01⁻⁵	7
Si	0.7	9.68	1.537	4.0⁻⁴	2.0⁻⁵	4
P	1.71	10.970	1.5373	4.02⁻⁴	2.01⁻⁵	5
S	5.60	11.953	1.5318	12.36⁻⁴	2.01⁻⁵	5
Cl	8.21	13.390	1.5298	19.02⁻⁴	2.01⁻⁵	4
A	11.43	14.858	1.5278	24.02⁻⁴	2.01⁻⁵	5

Abstract

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Tables (7)

Equations (2)

Journal of the Optical Society of America