Table 2 Energies and rates of Pr\({}^{9+}\) lines. The measured values (Expt.) include a 1 standard deviation uncertainty given in brackets, they are compared to ab initio theory predictions.

From: Detection of the 5p – 4f orbital crossing and its optical clock transition in Pr9+

Lower

Upper

Energy (eV)

Rate (s\({}^{-1}\))

  

Expt.

AMBiT

FSCC

 

\(5{p{}^{2}}\ ^{3}\)D\({}_{2}\)

\(5{p{}^{2}}\ {}^{3}\)F\({}_{2}\)

3.19563(1)

3.1957

3.2732

 

\(5p4{f}\ ^{3}\)D\({}_{3}\)

\(5p4f\ {}^{3}\)F\({}_{3}\)

3.51807(2)

3.5311

3.4916

 

\(5{p{}^{2}}\ ^{3}\)P\({}_{0}\)

\(5{p{}^{2}}\ {}^{3}\)P\({}_{1}\)

3.5411202(8)

3.4454

3.5368

1021

\(5p4{f}\ ^{3}\)G\({}_{4}a\)

\(5p4f\ {}^{3}\)F\({}_{4}\)

3.713810(3)

3.7322

3.7085

1086

\(5{p{}^{2}}\ ^{3}\)D\({}_{2}\)

\(5{p{}^{2}}\ {}^{3}\)P\({}_{2}\)

3.829068(5)

3.8187

3.8885

374

\(5p4f\ {}^{3}\)F\({}_{2}\)

\(5p4f\ {}^{3}\)F\({}_{3}\)

3.864391(3)

3.8444

3.8698

823

\(5p4f\ {}^{3}\)D\({}_{3}\)

\(5p4f\ {}^{3}\)F\({}_{4}\)

3.954826(3)

3.9795

3.9449

675

\(5p4f\ {}^{3}\)G\({}_{3}\)

\(5p4f\ {}^{3}\)F\({}_{3}\)

4.161043(2)

4.1515

4.1521

1342

\(5{p{}^{2}}\ {}^{3}\)P\({}_{1}\)

\(5{p{}^{2}}\ {}^{3}\)F\({}_{2}\)

4.168481(3)

4.1579

4.1974

493

\(5p4f\ {}^{3}\)G\({}_{4}a\)

\(5p4f\ {}^{3}\)G\({}_{5}\)

4.301421(1)

4.2677

4.3062

4334

\(5p4f\ {}^{3}\)G\({}_{4}a\)

\(5p4f\ {}^{1}\)F\({}_{3}\)

4.306314(3)

4.2594

4.3267

640

\(5p4f\ {}^{3}\)D\({}_{3}\)

\(5p4f\ {}^{1}\)F\({}_{3}\)

4.547299(3)

4.5067

4.5631

1991

\(5p4f\ {}^{3}\)G\({}_{3}\)

\(5p4f\ {}^{3}\)F\({}_{4}\)

4.597753(6)

4.5999

4.6054

1660

\(5p4f\ {}^{3}\)F\({}_{2}\)

\(5{p{}^{2}}\ {}^{3}\)F\({}_{2}\)

4.672740(8)

4.6469

4.6934

483

\(5{p{}^{2}}\ ^{3}\)P\({}_{1}\)

\(5{p{}^{2}}\ ^{3}\)P\({}_{2}\)

4.80191(1)

4.7810

4.8127

1060

\(5p4f\ {}^{3}\)D\({}_{3}\)

\(5{p{}^{2}}\ {}^{3}\)P\({}_{2}\)

4.959843(4)

4.9566

4.9306

762

\(5p4f\ {}^{3}\)G\({}_{3}\)

\(5{p{}^{2}}\ ^{3}\)F\({}_{2}\)

4.969391(7)

4.9540

4.9757

386

\(5p4f\ {}^{3}\)G\({}_{4}a\)

\(5p4f\ {}^{3}\)G\({}_{4}b\)

5.037586(9)

4.9793

5.0475

876

\(5p4f\ {}^{3}\)G\({}_{3}\)

\(5p4f\ {}^{1}\)F\({}_{3}\)

5.19021(2)

5.1271

5.2236

252

\(5p4f\ {}^{3}\)D\({}_{3}\)

\(5p4f\ {}^{3}\)G\({}_{4}b\)

5.27855(2)

5.2267

5.2840

878

\(5p4f\ {}^{3}\)F\({}_{2}\)

\(5{p{}^{2}}\ ^{3}\)P\({}_{2}\)

5.30616(2)

5.2699

5.3088

1022

\(5p4f\ {}^{3}\)F\({}_{2}\)

\(5p4f\ {}^{3}\)D\({}_{1}\)

5.30842(2)

5.2797

5.3809

1199

  1. The rate is calculated using theoretical matrix elements from AMBiT and experimental transition frequencies