Table 4: Fitted (FIT) and Hartree-Fock (HFR) energy parameters (cm^-1) of the 4f⁷+4f⁶6p and 4f⁶5d+4f⁶6s configurations of Eu III and their ratios.
Parameter FIT HFR FIT/HFR Par. status^c

E_av(4f⁷) 77216( 37) 96402 -19186^b

F²(4f, 4f) 77906(199) 104872 0.743 r1

F⁴(4f, 4f) 54316(286) 65418 0.830 r2

F⁶(4f, 4f) 37152(127) 46956 0.791 r3

$\alpha$     30      f

$\beta$   -823      f

$\gamma$   1268      f

$\zeta$ (4f)   1035( 27)   1294 0.800

E_av(4f⁶6p) 145577( 33) 148447 -2870^b

F²(4f, 4f) 84201(215) 113345 0.743 r1

F⁴(4f, 4f) 59056(311) 71126 0.830 r2

F⁶(4f, 4f) 40488(139) 51172 0.791 r3

$\alpha$     30      f

$\beta$   -823      f

$\gamma$   1268      f

$\zeta$ (4f)   1311(  4) 1411 0.929

$\zeta$ (6p)   2882(  9) 2345 1.229

F¹(4f, 6p)   250( 57)

F²(4f, 6p) 5712( 87) 7533 0.758

G²(4f, 6p) 1752( 21) 1901 0.922 r4

G⁴(4f, 6p) 1576( 19) 1710 0.922 r4

R²(4f4f, 4f6p) -3605      -4241 0.85 f

R⁴(4f4f, 4f6p) -2250      -2647 0.85 f

$\sigma^a$     26

E_av(4f⁶5d) 104592( 99) 106581 -1989^b

F²(4f, 4f) 84147(438) 112625 0.747 r5

F⁴(4f, 4f) 62970(689) 70639 0.891 r6

F⁶(4f, 4f) 40477(602) 50813 0.796 r7

$\alpha$ 30 f

$\beta$ -823 f

$\gamma$ 1268 f

$\zeta$ (4f) 1320( 10) 1405 0.940

$\zeta$ (5d) 909( 19) 983 0.924

F¹(4f, 5d) 1294(167)

F²(4f, 5d) 19382(122) 25828 0.750

F⁴(4f, 5d) 11440(270) 12422 0.921

G¹(4f, 5d) 8299( 79) 11893 0.698

G³(4f, 5d) 7288(223) 9535 0.764

G⁵(4f, 5d) 5092(199) 7239 0.703

E_av(4f⁶6s) 111319(110) 114213 -2894^b

F²(4f, 4f) 84659(440) 113265 0.747 r5

F⁴(4f, 4f) 63255(693) 71072 0.891 r6

F⁶(4f, 4f) 40732(606) 51133 0.796 r7

$\alpha$ 30 f

$\beta$ -823 f

$\gamma$ 1268 f

$\zeta$ (4f) 1316( 16) 1410 0.933

G³(4f, 6s) 2091( 47) 2770 0.755

R²(4f5d, 4f6s) -239 -281 0.85 f

R²(4f5d, 6s4f) 1819 2141 0.85 f

$\sigma^a$ 72

^a $\sigma$ - an average deviation of the fitting. ^b The differences FIT-HFR are given for the average energies of the configurations. ^c r1 - r7 parameters are related to the corresponding HFR ratios; f - fixed parameter.

**Table 4:** Fitted (FIT) and Hartree-Fock (HFR) energy parameters (cm^-1) of the 4f⁷+4f⁶6p and 4f⁶5d+4f⁶6s configurations of Eu III and their ratios.
Parameter	FIT	HFR	FIT/HFR	Par. status^c
E_av(4f⁷)	77216( 37)	96402	-19186^b
F²(4f, 4f)	77906(199)	104872	0.743	r1
F⁴(4f, 4f)	54316(286)	65418	0.830	r2
F⁶(4f, 4f)	37152(127)	46956	0.791	r3
$\alpha$	30			f
$\beta$	-823			f
$\gamma$	1268			f
$\zeta$ (4f)	1035( 27)	1294	0.800
E_av(4f⁶6p)	145577( 33)	148447	-2870^b
F²(4f, 4f)	84201(215)	113345	0.743	r1
F⁴(4f, 4f)	59056(311)	71126	0.830	r2
F⁶(4f, 4f)	40488(139)	51172	0.791	r3
$\alpha$	30			f
$\beta$	-823			f
$\gamma$	1268			f
$\zeta$ (4f)	1311( 4)	1411	0.929
$\zeta$ (6p)	2882( 9)	2345	1.229
F¹(4f, 6p)	250( 57)
F²(4f, 6p)	5712( 87)	7533	0.758
G²(4f, 6p)	1752( 21)	1901	0.922	r4
G⁴(4f, 6p)	1576( 19)	1710	0.922	r4
R²(4f4f, 4f6p)	-3605	-4241	0.85	f
R⁴(4f4f, 4f6p)	-2250	-2647	0.85	f
$\sigma^a$	26
E_av(4f⁶5d)	104592( 99)	106581	-1989^b
F²(4f, 4f)	84147(438)	112625	0.747	r5
F⁴(4f, 4f)	62970(689)	70639	0.891	r6
F⁶(4f, 4f)	40477(602)	50813	0.796	r7
$\alpha$	30			f
$\beta$	-823			f
$\gamma$	1268			f
$\zeta$ (4f)	1320( 10)	1405	0.940
$\zeta$ (5d)	909( 19)	983	0.924
F¹(4f, 5d)	1294(167)
F²(4f, 5d)	19382(122)	25828	0.750
F⁴(4f, 5d)	11440(270)	12422	0.921
G¹(4f, 5d)	8299( 79)	11893	0.698
G³(4f, 5d)	7288(223)	9535	0.764
G⁵(4f, 5d)	5092(199)	7239	0.703
E_av(4f⁶6s)	111319(110)	114213	-2894^b
F²(4f, 4f)	84659(440)	113265	0.747	r5
F⁴(4f, 4f)	63255(693)	71072	0.891	r6
F⁶(4f, 4f)	40732(606)	51133	0.796	r7
$\alpha$	30			f
$\beta$	-823			f
$\gamma$	1268			f
$\zeta$ (4f)	1316( 16)	1410	0.933
G³(4f, 6s)	2091( 47)	2770	0.755
R²(4f5d, 4f6s)	-239	-281	0.85	f
R²(4f5d, 6s4f)	1819	2141	0.85	f
$\sigma^a$	72

Source LaTeX | All tables | In the text