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Table A.1

Configurations included in HFR calculations for lanthanide ions between the V and VII charge stages.

Ion Configurations Number of lines
La V 5s25p5, 5s25p4np (n = 6 – 8), 5s25p4nf (n = 4 – 8), 5s25p34f2, 5s25p35d2, 5s25p36s2, 5s25p35d6s, 5s5p5nd (n = 5 – 8), 5s5p5ns (n = 6 – 8), 5s5p44fnd (n = 5 – 8), 5s5p44fns (n = 6 – 8), 5p44f3, 5p54f2, 5p64f, 5s25p4ns (n = 6 – 8), 5s25p4nd (n = 5 – 8), 5s25p4ng (n = 5 – 8), 5s25p34f5d, 5s25p34f6s, 5s5p6, 5s5p5np (n = 6 – 8), 5s5p5nf (n = 4 – 8), 5s5p44f2, 5s5p44fnp (n = 6 – 8), 5p65d, 5p44f25d, 5p54f5d 308 724
La VI 5s25p4, 5s25p3np (n = 6 – 8), 5s25p3nf (n = 4 – 8), 5s25p24f2, 5s25p25d2, 5s25p26s2, 5s25p25d6s, 5s5p4nd (n = 5 – 8), 5s5p4ns (n = 6 – 8), 5s5p34fnd (n = 5 – 8), 5s5p34fns (n = 6 – 8), 5p6, 5p44f2, 5p54f, 5s25p3ns (n = 6 – 8), 5s25p3nd (n = 5 – 8), 5s25p3ng (n = 5 – 8), 5s25p24f5d, 5s25p24f6s, 5s5p5, 5s5p4np (n = 6 – 8), 5s5p4nf (n = 4 – 8), 5s5p34f2, 5s5p34fnp (n = 6 – 8), 5p55d, 5p44f5d 738 900
La VII 5s25p3, 5s25p2np (n = 6 – 8), 5s25p2nf (n = 4 – 8), 5s25p4f2, 5s25p5d2, 5s25p6s2, 5s25p5d6s, 5s5p3nd (n = 5 – 8), 5s5p3ns (n = 6 – 8), 5s5p24fnd (n = 5 – 8), 5s5p24fns (n = 6 – 8), 5p5, 5p24f3, 5p34f2, 5p44f, 5s25p2ns (n = 6 – 8), 5s25p2nd (n = 5 – 8), 5s25p2ng (n = 5 – 8), 5s25p4f5d, 5s25p4f6s, 5s5p4, 5s5p3np (n = 6 – 8), 5s5p3nf (n = 4 – 8), 5s5p24f2, 5s5p24fnp (n = 6 – 8), 5p45d, 5p34f5d, 5p24f25d 818 233
Ce V 5s25p6, 5s25p5np (n = 6 – 8), 5s25p5nf (n = 4 – 8), 5s25p44f2, 5s25p45d2, 5s25p46s2, 5s25p45d6s, 5s5p6nd (n = 5 – 8), 5s5p6ns (n = 6 – 8), 5s5p54fnd (n = 5 – 8), 5s5p54fns (n = 6 – 8), 5p54f3, 5p64f2, 5s25p5ns (n = 6 – 8), 5s25p5nd (n = 5 – 8), 5s25p5ng (n = 5 – 8), 5s25p44f5d, 5s25p44f6s, 5s5p6np (n = 6 – 8), 5s5p6nf (n = 4 – 8), 5s5p54f2, 5s5p54fnp (n = 6 – 8), 5p54f25d, 5p64f5d 131 248
Ce VI 5s25p5, 5s25p4np (n = 6 – 8), 5s25p4nf (n = 4 – 8), 5s25p34f2, 5s25p35d2, 5s25p36s2, 5s25p35d6s, 5s5p5nd (n = 5 – 8), 5s5p5ns (n = 6 – 8), 5s5p44fnd (n = 5 – 8), 5s5p44fns (n = 6 – 8), 5p44f3, 5p54f2, 5p64f, 5s25p4ns (n = 6 – 8), 5s25p4nd (n = 5 – 8), 5s25p4ng (n = 5 – 8), 5s25p34f5d, 5s25p34f6s, 5s5p6, 5s5p5np (n = 6 – 8), 5s5p5nf (n = 4 – 8), 5s5p44f2, 5s5p44fnp (n = 6 – 8), 5p65d, 5p44f25d, 5p54f5d 657 090
Ce VII 5s25p4, 5s25p3np (n = 6 – 8), 5s25p3nf (n = 4 – 8), 5s25p24f2, 5s25p25d2, 5s25p26s2, 5s25p25d6s, 5s5p4nd (n = 5 – 8), 5s5p4ns (n = 6 – 8), 5s5p34fnd (n = 5 – 8), 5s5p34fns (n = 6 – 8), 5p6, 5p44f2, 5p54f, 5s25p3ns (n = 6 – 8), 5s25p3nd (n = 5 – 8), 5s25p3ng (n = 5 – 8), 5s25p24f5d, 5s25p24f6s, 5s5p5, 5s5p4np (n = 6 – 8), 5s5p4nf (n = 4 – 8), 5s5p34f2, 5s5p34fnp (n = 6 – 8), 5p55d, 5p44f5d 918 542
Pr V 5s25p64f, 5s25p6nf (n = 5 – 8), 5s25p6np (n = 6 – 8), 5s25p54f2, 5s25p55d2, 5s25p56s2, 5s25p55d6s, 5s5p64fnd (n = 5 – 8), 5s5p64fns (n = 6 – 8), 5p64f3, 5s25p6ns (n = 6 – 8), 5s25p6nd (n = 5 – 8), 5s25p6ng (n = 5 – 8), 5s25p54f5d, 5s25p54f6s, 5s5p64f2, 5s5p64fnp (n = 6 – 8), 5p64f25d 14 534
Pr VI 5s25p6, 5s25p5np (n = 6 – 8), 5s25p5nf (n = 4 – 8), 5s25p44f2, 5s25p45d2, 5s25p46s2, 5s25p45d6s, 5s5p6nd (n = 5 – 8), 5s5p6ns (n = 6 – 8), 5s5p54fnd (n = 5 – 8), 5s5p54fns (n = 6 – 8), 5p54f3, 5p64f2, 5s25p5ns (n = 6 – 8), 5s25p5nd (n = 5 – 8), 5s25p5ng (n = 5 – 8), 5s25p44f5d, 5s25p44f6s, 5s5p6np (n = 6 – 8), 5s5p6nf (n = 4 – 8), 5s5p54f2, 5s5p54fnp (n = 6 – 8), 5p54f25d, 5p64f5d 203 360
Pr VII 5s25p5, 5s25p4np (n = 6 – 8), 5s25p4nf (n = 4 – 8), 5s25p34f2, 5s25p35d2, 5s25p36s2, 5s25p35d6s, 5s5p5nd (n = 5 – 8), 5s5p5ns (n = 6 – 8), 5s5p44fnd (n = 5 – 8), 5s5p44fns (n = 6 – 8), 5p44f3, 5p54f2, 5p64f, 5s25p4ns (n = 6 – 8), 5s25p4nd (n = 5 – 8), 5s25p4ng (n = 5 – 8), 5s25p34f5d, 5s25p34f6s, 5s5p6, 5s5p5np (n = 6 – 8), 5s5p5nf (n = 4 – 8), 5s5p44f2, 5s5p44fnp (n = 6 – 8), 5p65d, 5p44f25d, 5p54f5d 1 017 797
Nd V 5s25p64f2, 5s25p64fnf (n = 5 – 8)), 5s25p64fnp (n = 6 – 8), 5s25p65d2, 5s25p66s2, 5s25p65dns (n = 6 – 8), 5s25p65dnd (n = 6 – 8), 5s5p64f2nd (n = 5 – 8), 5s5p64f2ns (n = 6 – 8), 5s2554f3, 5s25p64fns (n = 6 – 8), 5s25p64fnd (n = 5 – 8), 5s25p64fng (n = 5 – 8), 5s25p65dnp (n = 6 – 8), 5s25p65dnf (n = 5 – 8), 5s25p54f25d, 5s25p54f26s, 5s25p55d3, 5s5p64f2np (n = 6 – 8) 211 796
Nd VI 5s25p64f, 5s25p6nf (n = 5 – 8)), 5s25p6np (n = 6 – 8), 5s25p54f2, 5s25p55d2, 5s25p56s2, 5s25p55d6s, 5s5p64fnd (n = 5 – 8), 5s5p64fns (n = 6 – 8), 5p64f3, 5s25p6ns (n = 6 – 8), 5s25p6nd (n = 5 – 8), 5s25p6ng (n = 5 – 8), 5s25p54f5d, 5s25p54f6s, 5s5p64f2, 5s5p64fnp (n = 6 – 8), 5p64f25d 22 151
Nd VII 5s25p6, 5s25p5np (n = 6 – 8), 5s25p5nf (n = 4 – 8), 5s25p44f2, 5s25p45d2, 5s25p46s2, 5s25p45d6s, 5s5p6nd (n = 5 – 8), 5s5p6ns (n = 6 – 8), 5s5p54fnd (n = 5 – 8), 5s5p54fns (n = 6 – 8), 5p54f3, 5p64f2, 5s25p5ns (n = 6 – 8), 5s25p5nd (n = 5 – 8), 5s25p5ng (n = 5 – 8), 5s25p44f5d, 5s25p44f6s, 5s5p6np (n = 6 – 8), 5s5p6nf (n = 4 – 8), 5s5p54f2, 5s5p54fnp (n = 6 – 8), 5p54f25d, 5p64f5d 497 534
Pm V 5s25p64f3, 5s25p64f2nf (n = 5 – 8)), 5s25p64f2np (n = 6 – 8), 5s5p64f3nd (n = 6 – 8), 5s5p64f3ns (n = 6 – 8), 5s25p65d2np (n = 6 – 8), 5s25p65d2nf (n = 5 –8), 5s25p65d3, 5s25p65d2nd (n = 6 – 8), 5s25p65d2ns (n = 6 – 8), 5s25p64f2nd (n = 6 – 8), 5s25p64f2ns (n = 6 – 8), 5s25p64f2ng (n = 5 – 8), 5s25p54f35d, 5s25p54f36s, 5s5p64f4, 5s5p64f3np (n = 6 – 8) 1 152 223
Pm VI 5s25p64f2, 5s25p64fnf (n = 5 – 8)), 5s25p64fnp (n = 6 – 8), 5s25p65d2, 5s25p66s2, 5s25p65dns (n = 6 – 8), 5s25p65dnd (n = 6 – 8), 5s5p64f2nd (n = 5 – 8), 5s5p64f2ns (n = 6 – 8), 5s2554f3, 5s25p64fns (n = 6 – 8), 5s25p64fnd (n = 5 – 8), 5s25p64fng (n = 5 – 8), 5s25p65dnp (n = 6 – 8), 5s25p65dnf (n = 5 – 8), 5s25p54f25d, 5s25p54f26s, 5s25p55d3,5s5p64f2np (n = 6 – 8) 275 006
Pm VII 5s25p64f, 5s25p6nf (n = 5 – 8)), 5s25p6np (n = 6 – 8), 5s25p54f2, 5s25p55d2, 5s25p56s2, 5s25p55d6s, 5s5p64fnd (n = 5 – 8), 5s5p64fns (n = 6 – 8), 5p64f3, 5s25p6ns (n = 6 – 8), 5s25p6nd (n = 5 – 8), 5s25p6ng (n = 5 – 8), 5s25p54f5d, 5s25p54f6s, 5s5p64f2, 5s5p64fnp (n = 6 – 8), 5p64f25d 30 527
Sm V 5s25p64f4, 5s25p54f5, 5s25p64f25d2,5s25p64f26s2,5s25p64f26p2, 5s25p64f25d6s, 5s25p64f3nf (n = 5 – 8), 5s25p64f3np (n = 6 – 8), 5s5p64f4nd (n = 5 – 8), 5s5p64f4ns (n = 6 – 8), 5s25p65d3np (n = 6 – 8), 5s25p65d3nf (n = 5 – 8), 5s25p65d3nf (n = 6 – 8), 5s25p65d3nd (n = 5 – 8), 5s25p65d3ng (n = 5 – 8), 5s25p54f45d, 5s25p54f46s, 5s5p54f4np (n = 6 – 8), 5s25p64f25d6ps 17 267 783
Sm VI 5s25p64f3, 5s25p64f2nf (n = 5 – 8)), 5s25p64f2np (n = 6 – 8), 5s5p64f3nd (n = 6 – 8), 5s5p64f3ns (n = 6 – 8), 5s25p65d2np (n = 6 – 8), 5s25p65d2nf (n = 5 – 8), 5s25p54f4, 5s25p5,4f26p, 5s25p65d3, 5s25p54f35d, 5s25p54f3ns (n = 6 – 8), 5s25p65d2nd (n = 6 – 8), 5s25p65d2ns (n = 6 – 8), 5s25p64f2nd (n = 5 – 8), 5s25p64f2ns (n = 6 – 8), 5s25p64f2ng (n = 5 – 8), 5s5p64f4, 5s5p64f3np (n = 6 – 8) 5 426 148
Sm VII 5s25p54f3, 5s25p64f2, 5s25p64fnf (n = 5 – 8), 5s25p64f2, 5s25p64fnp (n = 6 – 8), 5s25p64f2, 5s25p44f36p, 5s25p44f36p, 5s25p65d2, 5s25p65dnd (n = 6 – 8), 5s25p66s2, 5s25p65dns (n = 6 – 8), 5s5p64f2ns (n = 6 – 8), 5s5p64f2nd (n = 5 – 8), 5s25p44f35d, 5s25p44f3ns (n = 6 – 8), 5s25p64fns (n = 6 – 8), 5s25p64fnd (n = 5 – 8), 5s25p64fng (n = 5 – 8), 5s25p65dnp (n = 6 – 8), 5s25p65dnf (n = 5 – 8), 5s25p54f25d, 5s25p54f26s, 5s25p55d3, 5s5p64f3, 5s5p64f2np (n = 6 – 8) 10 245 968
Eu V 5s25p64f5, 5p54f6, 5p64f35d2,5p64f36s2, 5p64f4nf (n = 5 – 8), 5p64f4np (n = 6 – 8), 5p64f4ns (n = 6 – 8), 5p64f4nd (n = 5 – 8), 5p64f4ng (n = 5 – 8),5p54f55d 39 109 459
Eu VI 5s25p64f4, 5s25p54f5, 5s25p64f25d2, 5s25p64f26s2,5s25p64f26p2, 5s25p64f25d6s, 5s25p64f3nf (n = 5 – 8), 5s25p64f3np (n = 6 – 8), 5s5p64f4nd (n = 5 – 8), 5s5p64f4ns (n = 6 – 8), 5s25p65d3np (n = 6 – 8), 5s25p65d3nd (n = 5 – 8), 5s25p65d3nf (n = 6 – 8), 5s25p65d3ns (n = 6 – 8), 5s25p64f3ns (n = 6 – 8), 5s25p64f3nd (n = 5 – 8), 5s25p64f3ng (n = 5 – 8), 5s25p54f45d, 5s25p54f4ns (n = 6 – 7), 5s5p64f4np (n = 6 – 8), 5s25p64f25d6p 37 939 936
Eu VII 5s25p64f3, 5s25p64f2nf (n = 5 – 8)), 5s25p64f2np (n = 6 – 8), 5s5p64f3nd (n = 6 – 8), 5s5p64f3ns (n = 6 – 8), 5s25p65d2np (n = 6 – 8), 5s25p65d2nf (n = 5 – 8), 5s25p54f4, 5s25p5,4f36p, 5s25p65d3, 5s25p54f35d, 5s25p54f3ns (n = 6 – 8), 5s25p65d2nd (n = 6 – 8), 5s25p65d2ns (n = 6 – 8), 5s25p64f2nd (n = 5 – 8), 5s25p64f2ns (n = 6 – 8), 5s25p64f2ng (n = 5 – 8), 5s5p64f4, 5s5p64f3np (n = 6 – 8) 5 885 552
Gd V 5s25p64f6, 5p54f7, 5p64f55f, 5p64f56p, 5p64f55g, 5p64f55d, 5p54f65d 17 429 441
Gd VI 5s25p64f5, 5p54f6, 5p64f35d2,5p64f36s2, 5p64f4nf (n = 5 – 8), 5p64f4np (n = 6 – 8), 5p64f4ns (n = 6 – 8), 5p64fnd (n = 5 – 8), 5p64f4ng (n = 5 – 8), 5p54f55d 43 285 559
Gd VII 5s25p64f4, 5s25p54f5, 5p54f46p, 5s25p64f25d2, 5s25p64f26s2,5s25p64f26p2, 5s25p64f25d6s, 5s25p64f3nf (n = 5 – 8), 5s25p64f3np (n = 6 – 8), 5s5p64f4nd (n = 5 – 8), 5s5p64f4ns (n = 6 – 8), 5s25p65d3np (n = 6 – 8), 5s25p65d3nd (n = 5 – 8), 5s25p65d3nf (n = 6 – 8), 5s25p65d3ns (n = 6 – 8), 5s25p64f3ns (n = 6 – 8), 5s25p64f3nd (n = 5 – 8), 5s25p64f3ng (n = 5 – 8), 5s25p54f45d, 5s25p54f4ns (n = 6 – 7), 5s5p64f4np (n = 6 – 8), 5s25p64f25d6p 36 848 045
Tb V 5s25p64f7, 5s25p54f8, 5s25p64f65f, 5s25p64f66p, 5s25p64f65d, 5s25p54f75d 19 732 305
Tb VI 5s25p64f6, 5s25p54f7, 5s25p64f55f, 5s25p64f56p, 5s25p64f55g, 5s25p64f55d, 5s25p54f65d 22 760 992
Tb VII 5s25p64f5, 5s25p54f6, 5s25p64f35d2, 5s25p64f36s2, 5s25p64f4nf (n = 5 – 8), 5s25p64f4np (n = 6 – 8), 5s25p64f4ns (n = 6 – 8), 5s25p64f4nd (n = 5 – 8), 5s25p64f4ng (n = 5 – 8), 5s25p54f55d 44 951 913
Dy V 5s25p64f8, 5s25p54f9, 5s25p64f75f, 5s25p64f76p, 5s25s25p64f75d, 5p54f85d 17 446 583
Dy VI 5s25p64f7, 5s25p54f8, 5s25p64f65f, 5s25p64f66p, 5s25p64f65d, 5s25p54f75d 28 090 364
Dy VII 5s25p54f7, 5s25p64f6, 5s25p64f55f, 5s25p64f56p, 5s25p64f55g, 5s25p64f55d, 5s25p54f65d 25 958 076
Ho V 5s25p64f9, 5s25p64f86p, 5s25p64f87p, 5s25p64f85f, 5s25p64f10, 5s25p64f86s, 5s25p64f87s, 5s25p64f85d, 5s25p64f86d, 5s25p54f95d 25 784 469
Ho VI 5s25p6 4f8, 5s25p54f9, 5s2 5p64f75f, 5s25p6 4f76p, 5s25p64f7 5d, 5s25p54f85d 25 463 893
Ho VII 5s25p64f7, 5s25p54f8, 5s25p64f65f, 5s25p64f66p, 5s25p64f65d, 5s25p54f75d 32 588 602
Er V 5s25p64f10, 5s25p64f96p, 5s25p64f97p, 5s25p64f95f, 5s25p64f96f, 5s25p54f11, 5s25p54f105d, 5s25p64f96s, 5s25p64f97s, 5s25p64f98s, 5s25p64f95d, 5s25p64f96d, 5s25p64f97d, 5s25p64f95g 22 183 496
Er VI 5s25p64f9, 5s25p64f86p, 5s25p64f87p, 5s25p64f85f, 5s25p64f10, 5s25p64f6s, 5s25p64f87s, 5s25p64f85d, 5s25p64f86d, 5s25p54f95d 27 351 536
Er VII 5s25p64f8, 5s25p54f9, 5s25p64f75f, 5s25p64f76p, 5s25p64f75d, 5s25p54f85d 30 066 847
Tm V 5s25p64f11, 5s25p64f10np (n = 6 – 8), 5s25p64f10nf (n = 5 – 8), 5s25p54f12, 5s25p54f115f, 5s25p54f116p, 5s25p64f10ns (n = 6 – 8), 5s25p64f10nd (n = 5 – 8), 5s25p64f10ng (n = 5 − 8), 5s25p54f11nd (n = 5 – 6), 5s25p54f116s 36 367 389
Tm VI 5s25p64f10, 5s25p64f96p, 5s25p64f97p, 5s25p64f95f, 5s25p64f96f, 5s25p54f11, 5s25p54f105d, 5s25p64f96s, 5s25p64f97s, 5s25p64f98s, 5s25p64f95d, 5s25p64f96d, 5s25p64f97d, 5s25p64f95g 23 160 749
Tm VII 5s25p64f9, 5s25p64f86p, 5s25p64f87p, 5s25p64f85f, 5s25p64f10, 5s25p64f86s, 5s25p64f87s, 5s25p64f85d, 5s25p64f86d, 5s25p54f95d 27 994 638
Yb V 5s25p64f12, 5s25p64f11np (n = 6 − 8), 5s25p64f105d2, 5s25p64f106s2, 5s25p64f105d6s, 5s25p64f11nf (n = 5 − 8), 5s25p54f13, 5s25p54f125f, 5s25p54f12np (n = 6 − 8), 5s25p64f11ns (n = 6 – 8), 5s25p64f11nd (n = 5 – 8), 5s25p64f11ng (n = 5 – 8), 5s25p64f105d6p, 5s25p64f106s6p, 5s25p54f12ns (n = 6 – 8), 5s25p54f12nd (n = 5 – 8) 26 053 560
Yb VI 5p64f11, 5s25p64f10np (n = 6 − 8), 5s25p64f10nf (n = 5 – 8), 5s25p54f12, 5s25p54f115f, 5p54f116p, 5s25p64f10ns (n = 6 – 8), 5s25p64f10nd (n = 5 – 8), 5s25p64f10ng (n = 5 – 8), 5s25p54f11nd (n = 5 – 6), 5s25p54f116s 37 034 149
Yb VII 5s25p64f10, 5s25p64f96p, 5s25p64f97p, 5s25p64f95f, 5s25p64f96f, 5s25p54f11, 5s25p54f105d, 5s25p64f96s, 5s25p64f97s, 5s25p64f98s, 5s25p64f95d, 5s25p64f96d, 5s25p64f97d, 5s25p64f95g 15 209 723
Lu V 5s25p64f12, 5s25p64f12np (n = 6 – 8), 5s25p64f115d2, 5s25p64f116s2, 5s25p64f115d6s, 5s25p64f12nf (n = 5 – 8), 5s25p54f14, 5s25p54f135f, 5s25p54f13np (n = 6 – 8), 5s25p64f12ns (n = 6 – 8), 5s25p64f12nd (n = 5 – 8), 5s25p64f12ng (n = 5 – 8), 5s25p64f115d6p, 5s25p64f116s6p, 5s25p54f13ns (n = 6 – 8), 5s25p54f13nd (n = 5 – 8) 3 310 355
Lu VI 5s25p64f12,5s25p64f11np (n = 6 – 8), 5s25p64f105d2, 5s25p64f106s2, 5p64f105d6s, 5s25p64f11nf (n = 5 – 8), 5s25p54f13, 5s25p54f125f, 5s25p54f12np (n = 6 – 8), 5s25p64f11ns (n = 6 – 8), 5s25p64f11nd (n = 5 – 8), 5s25p64f11ng (n = 5 – 8), 5s25p64f105d6p, 5s25p64f106s6p, 5s25p54f12ns (n = 6 – 8), 5s25p54f12nd (n = 5 – 8) 30 620 917
Lu VII 5s25p64f11, 5p64f10np (n = 6 – 8), 5p64f10nf (n = 5 – 8), 5p54f12, 5p54f115f, 5p54f116p, 5p64f10ns (n = 6 – 8), 5p64f10nd (n = 5 – 8), 5p64f10ng (n = 5 – 8), 5p54f11nd (n = 5 – 6), 5p54f116s 33 862 758

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