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Clementi-Raimondi Effective Nuclear Charge Navigation

Aluminum to Gadolinium

Gallium to Neodymium

Neon to Selenium

Silicon to Zirconium

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By Symbol

By Number

Clementi-Raimondi Effective Nuclear Charge

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Element

Orbital Exponent

( ζ )

Principle Quantum Number

( n )

Effective Nuclear Charge

( Zeff = ζ × n )

Neon

1s

 9.6421

1

 9.6421

2s

 2.8792

2

 5.7584

2p

 2.8792

2

 5.7584

Nickel

1s

27.3526

1

27.3526

2s

10.1063

2

20.2126

2p

12.0476

2

24.0952

3s

 4.9870

3

14.961 

3p

 4.6950

3

14.085 

4s

 1.4277

4

 5.7108

3d

 4.1765

3

12.530 

Niobium

1s

40.1423

1

40.1423

2s

15.0626

2

30.1252

2p

18.4911

2

36.9822

3s

 8.3905

3

25.172 

3p

 8.2052

3

24.616 

4s

 3.8207

4

15.283 

3d

 8.7490

3

26.247 

4p

 3.5211

4

14.084 

5s

 1.1842

5

 5.9210

4d

 2.8094

4

11.238 

Nitrogen

1s

 6.6651

1

 6.6651

2s

 1.9237

2

 3.8474

2p

 1.9170

2

 3.8340

Osmium

1s

74.5299

1

74.5299

2s

28.0749

2

56.1498

2p

35.7749

2

71.5498

3s

17.8091

3

53.4273

3p

18.0839

3

54.2517

4s

10.5238

4

42.0952

3d

20.8249

3

62.4747

4p

10.2860

4

41.1440

5s

 5.0190

5

25.095 

4d

 9.7145

4

38.858 

5p

 4.5820

5

22.910 

6s

 1.7205

6

10.323 

4f

 9.2882

4

37.153 

5d

 3.5994

5

17.997 

Oxygen

1s

 7.6579

1

 7.6579

2s

 2.2458

2

 4.4916

2p

 2.2266

2

 4.4532

Palladium

1s

45.0589

1

45.0589

2s

16.9414

2

33.8828

2p

20.9650

2

41.9300

3s

 9.7404

3

29.221 

3p

 9.6732

3

29.020 

4s

 4.7465

4

18.986 

3d

10.4837

3

31.4511

4p

 4.4308

4

17.723 

4d

 3.4044

4

13.618 

Phosphorus

1s

14.5578

1

14.5578

2s

 4.9125

2

 9.8250

2p

 5.4806

2

10.961 

3s

 1.8806

3

 5.6418

3p

 1.6288

3

 4.8864

Platinum

1s

76.4940

1

76.4940

2s

28.8149

2

57.6298

2p

36.7627

2

73.5254

3s

18.3281

3

54.9843

3p

18.6287

3

55.8861

4s

10.9097

4

43.6388

3d

21.4991

3

64.4973

4p

10.6826

4

42.7304

5s

 5.3176

5

26.588 

4d

10.1575

4

40.6300

5p

 4.8839

5

24.420 

6s

 1.7919

6

10.751 

4f

 9.8765

4

39.506 

5d

 3.8815

5

19.408 

Polonium

1s

82.3768

1

82.3768

2s

30.9609

2

61.9218

2p

39.7286

2

79.4572

3s

19.8729

3

59.6187

3p

20.2383

3

60.7149

4s

12.1304

4

48.5216

3d

23.5240

3

70.5720

4p

11.9168

4

47.6672

5s

 6.4046

5

32.023 

4d

11.9168

4

47.6672

5p

 6.0049

5

30.024 

6s

 2.7218

6

16.331 

4f

11.5396

4

46.1584

5d

 5.0608

5

25.304 

6p

 2.3701

6

14.221 

Potassium

1s

18.4895

1

18.4895

2s

 6.5031

2

13.006 

2p

 7.5136

2

15.027 

3s

 2.8933

3

 8.6799

3p

 2.5752

3

 7.7256

4s

 0.8738

4

 3.495 

Praseodymium

1s

57.8306

1

57.8306

2s

21.7310

2

43.4620

2p

27.3847

2

54.7694

3s

13.1670

3

39.5010

3p

13.2748

3

39.8244

4s

 7.5833

4

30.333 

3d

15.0508

3

45.1524

4p

 7.2642

4

29.057 

5s

 3.5226

5

17.613 

4d

 6.5743

4

26.297 

5p

 3.0567

5

15.284 

6s

 1.2911

6

 7.7466

4f

 5.2752

4

21.101 

Promethium

1s

59.7958

1

59.7958

2s

22.4852

2

44.9704

2p

28.3719

2

56.7438

3s

13.7282

3

41.1846

3p

13.8513

3

41.5539

4s

 7.9099

4

31.640 

3d

15.6994

3

47.0982

4p

 7.6558

4

30.623 

5s

 3.7671

5

18.836 

4d

 6.9350

4

27.740 

5p

 3.2828

5

16.414 

6s

 1.5659

6

 9.3954

4f

 5.7835

4

23.134 

Radon

1s

84.3341

1

84.3341

2s

31.7068

2

63.4136

2p

40.7190

2

81.4380

3s

20.3617

3

61.0851

3p

20.7602

3

62.2806

4s

12.5375

4

50.1500

3d

24.1991

3

72.5973

4p

12.3253

4

49.3012

5s

 6.7786

5

33.893 

4d

11.9857

4

47.9428

5p

 6.3942

5

31.971 

6s

 3.0540

6

18.324 

4f

12.0828

4

48.3312

5d

 5.4706

5

27.353 

6p

 2.6793

6

16.076 

Rhenium

1s

73.5478

1

73.5478

2s

27.7049

2

55.4098

2p

35.2810

2

70.5620

3s

17.5495

3

52.6485

3p

17.8115

3

53.4345

4s

10.3391

4

41.3564

3d

20.4849

3

61.4547

4p

10.0933

4

40.3732

5s

 4.8714

5

24.357 

4d

 9.5136

4

38.054 

5p

 4.4288

5

22.144 

6s

 1.6860

6

10.116 

4f

 8.9812

4

35.925 

5d

 3.4766

5

17.383 

Rhodium

1s

44.0756

1

44.0756

2s

16.5773

2

33.1546

2p

20.4702

2

40.9404

3s

 9.4795

3

28.438 

3p

 9.3848

3

28.154 

4s

 4.6454

4

18.582 

3d

10.1350

3

30.4050

4p

 4.2849

4

17.140 

5s

 1.3279

5

 6.6395

4d

 3.3606

4

13.442 

Rubidium

1s

36.2078

1

36.2078

2s

13.5784

2

27.1568

2p

16.5194

2

33.0388

3s

 7.2809

3

21.843 

3p

 7.1011

3

21.303 

4s

 3.0970

4

12.388 

3d

 7.2264

3

21.679 

4p

 2.7202

4

10.881 

5s

 0.9969

5

 4.984 

Ruthenium

1s

43.0923

1

43.0923

2s

16.1899

2

32.3798

2p

19.9754

2

39.9508

3s

 9.2004

3

27.601 

3p

 9.0737

3

27.221 

4s

 4.4140

4

17.656 

3d

 9.7863

3

29.359 

4p

 4.1087

4

16.435 

5s

 1.2969

5

 6.4845

4d

 3.2032

4

12.813 

Samarium

1s

60.7783

1

60.7783

2s

22.8674

2

45.7348

2p

28.8655

2

57.7310

3s

14.0088

3

42.0264

3p

14.1395

3

42.4185

4s

 8.0731

4

32.292 

3d

16.0763

3

48.2289

4p

 7.7720

4

31.088 

5s

 3.6498

5

18.249 

4d

 7.0599

4

28.240 

5p

 3.2562

5

16.281 

6s

 1.3353

6

 8.0118

4f

 5.8829

4

23.532 

Scandium

1s

20.4566

1

20.4566

2s

 7.2868

2

14.574 

2p

 8.5273

2

17.055 

3s

 3.4466

3

10.340 

3p

 3.1354

3

 9.4062

4s

 1.1581

4

 4.6324

3d

 2.3733

3

 7.1199

Selenium

1s

33.2622

1

33.2622

2s

12.4442

2

24.8884

2p

15.0326

2

30.0652

3s

 6.4678

3

19.403 

3p

 6.2350

3

18.705 

4s

 2.4394

4

 9.7576

3d

 6.1590

3

18.477 

4p

 2.0718

4

 8.2872

References    (Click the button next to a value above to see complete citation information for that entry)

Clementi, E., and D. L. Raimondi. "Atomic Screening Constants from SCF Functions." Journal of Chemical Physics, volume 38, number 11, 1963, pp. 2686–2689. doi:10.1063/1.1733573

Clementi, E., D. L. Raimondi, and W. P. Reinhardt. "Atomic Screening Constants from SCF Functions. II. Atoms with 37 to 86 Electrons." Journal of Chemical Physics, volume 47, number 4, 1967, pp. 1300–1307. doi:10.1063/1.1712084

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