Element

Element

number

Johnson

& Soff2

Simple approx

$X\times Z^Y$

% Error

Simple approx

$a+X\times Z^Y$

% Error

Hydrogen H

1

0.000034

0.000042

24.3%

0.000033

3.5%

Helium He

2

0.000445

0.000485

8.9%

0.000495

11.1%

Lithium Li

3

0.001978

0.002030

2.6%

0.002087

5.5%

Beryllium Be

4

0.005642

0.005604

0.7%

0.005734

1.6%

Boron B

5

0.012638

0.012320

2.5%

0.012537

0.8%

Carbon C

6

0.024326

0.023449

3.6%

0.023743

2.4%

Nitrogen N

7

0.042180

0.040406

4.2%

0.040733

3.4%

Oxygen O

8

0.067783

0.064738

4.5%

0.065009

4.1%

Fluorine F

9

0.102797

0.098113

4.6%

0.098183

4.5%

Neon Ne

10

0.148944

0.142315

4.5%

0.141973

4.7%

Sodium Na

11

0.207925

0.199235

4.2%

0.198195

4.7%

Magnesium Mg

12

0.281696

0.270869

3.8%

0.268757

4.6%

Aluminum Al

13

0.371958

0.359310

3.4%

0.355658

4.4%

Silicon Si

14

0.480818

0.466747

2.9%

0.460980

4.1%

Phosphorus P

15

0.610135

0.595458

2.4%

0.586889

3.8%

Sulfur S

16

0.762018

0.747813

1.9%

0.735629

3.5%

Chlorine Cl

17

0.938326

0.926262

1.3%

0.909518

3.1%

Argon Ar

18

1.141415

1.133343

0.7%

1.110951

2.7%

Potassium K

19

1.372401

1.371670

0.1%

1.342393

2.2%

Calcium Ca

20

1.634631

1.643937

0.6%

1.606378

1.7%

Scandium Sc

21

1.929222

1.952915

1.2%

1.905509

1.2%

Titanium Ti

22

2.260265

2.301449

1.8%

2.242452

0.8%

Vanadium V

23

2.626024

2.692456

2.5%

2.619942

0.2%

Chromium Cr

24

2.895073

3.128924

8.1%

3.040772

5.0%

Manganese Mn

25

3.480287

3.613912

3.8%

3.507800

0.8%

Zinc Zn

30

6.429914

6.878398

7.0%

6.640028

3.3%

Zirconium Zr

40

16.874495

18.989829

12.5%

18.174229

7.7%

Tin Sn

50

36.017933

41.745859

15.9%

39.686355

10.2%

Neodymium Nd

60

68.365880

79.455361

16.2%

75.123470

9.9%

Ytterbium Yb

70

122.832930

136.913216

11.5%

128.851488

4.9%

Mercury Hg

80

217.843402

219.359751

0.7%

205.618065

5.6%

Thorium Th

90

401.838626

332.449243

17.3%

310.523953

22.7%

Fermium Fm

100

809.008650

482.224521

40.4%

448.999987

44.5%

Darmstadtium Ds

110

1853.590700

675.095898

63.6%

626.788082

66.2%