\({m}_{p}= \cfrac{1}{c^2}.(\cfrac{h.c}{4{r}_{e}}+\Phi)\),
where Planck's Constant \(h\) = 4.135667516e-15 eV, light speed \(c\) = 299792458 m s-1
| Atomic Symbol | Work Function \(\Phi \) | Atomic Radius \(r_e\) | \({m}_{p}\) |
| Ag | 4.260 | 160 | 3.46106E-033 |
| Al | 4.060 | 125 | 4.42768E-033 |
| As | 3.750 | 115 | 4.81151E-033 |
| Au | 5.100 | 135 | 4.10209E-033 |
| B | 4.450 | 85 | 6.50858E-033 |
| Ba | 2.520 | 215 | 2.57451E-033 |
| Be | 4.980 | 105 | 5.27130E-033 |
| Bi | 4.310 | 160 | 3.46115E-033 |
| C | 5.000 | 70 | 7.90255E-033 |
| Ca | 2.870 | 180 | 3.07486E-033 |
| Cd | 4.080 | 155 | 3.57214E-033 |
| Ce | 2.900 | 185 | 2.99195E-033 |
| Co | 5.000 | 135 | 4.10191E-033 |
| Cr | 4.500 | 140 | 3.95484E-033 |
| Cs | 2.140 | 260 | 2.12903E-033 |
| Cu | 4.530 | 135 | 4.10107E-033 |
| Eu | 2.500 | 185 | 2.99124E-033 |
| Fe | 4.670 | 140 | 3.95514E-033 |
| Ga | 4.320 | 130 | 4.25812E-033 |
| Gd | 2.900 | 180 | 3.07492E-033 |
| Hf | 3.900 | 155 | 3.57182E-033 |
| Hg | 4.475 | 150 | 3.69168E-033 |
| In | 4.090 | 155 | 3.57216E-033 |
| Ir | 5.000 | 135 | 4.10191E-033 |
| K | 2.290 | 220 | 2.51569E-033 |
| La | 3.500 | 195 | 2.83985E-033 |
| Li | 2.900 | 145 | 3.81589E-033 |
| Lu | 3.300 | 175 | 3.16334E-033 |
| Mg | 3.660 | 150 | 3.69022E-033 |
| Mn | 4.100 | 140 | 3.95413E-033 |
| Mo | 4.360 | 145 | 3.81849E-033 |
| Na | 2.360 | 180 | 3.07396E-033 |
| Nb | 3.950 | 145 | 3.81776E-033 |
| Nd | 3.200 | 185 | 2.99249E-033 |
| Ni | 5.040 | 135 | 4.10198E-033 |
| Os | 5.930 | 130 | 4.26099E-033 |
| Pb | 4.250 | 180 | 3.07732E-033 |
| Pd | 5.220 | 140 | 3.95612E-033 |
| Pt | 5.120 | 135 | 4.10213E-033 |
| Rb | 2.261 | 235 | 2.35533E-033 |
| Re | 4.720 | 135 | 4.10141E-033 |
| Rh | 4.980 | 135 | 4.10188E-033 |
| Ru | 4.710 | 130 | 4.25882E-033 |
| Sb | 4.550 | 145 | 3.81883E-033 |
| Sc | 3.500 | 160 | 3.45971E-033 |
| Se | 5.900 | 115 | 4.81534E-033 |
| Si | 4.600 | 110 | 5.03143E-033 |
| Sm | 2.700 | 185 | 2.99160E-033 |
| Sn | 4.420 | 145 | 3.81860E-033 |
| Sr | 2.590 | 200 | 2.76739E-033 |
| Ta | 4.000 | 145 | 3.81785E-033 |
| Tb | 3.000 | 225 | 2.46115E-033 |
| Te | 4.950 | 140 | 3.95564E-033 |
| Th | 3.400 | 180 | 3.07581E-033 |
| Ti | 4.330 | 140 | 3.95454E-033 |
| Tl | 3.840 | 190 | 2.91503E-033 |
| U | 3.630 | 175 | 3.16393E-033 |
| V | 4.300 | 135 | 4.10066E-033 |
| W | 4.320 | 135 | 4.10070E-033 |
| Y | 3.100 | 180 | 3.07527E-033 |
| Yb | 2.600 | 175 | 3.16209E-033 |
| Zn | 3.630 | 135 | 4.09947E-033 |
| Zr | 4.050 | 155 | 3.57209E-033 |
| Average | 3.74315E-033 | ||
| Std Deviation | 9.16011E-034 | ||
| Max | 7.90255E-033 | ||
| Min | 2.12903E-033 |
The average \({m}_{p}\) value is 3.74315E-033 kg. It is noted that C, Carbon, B, Boron, Si, Silicon and Be, Beryllium provided exceptionally high values of \({m}_{p}\) because of their low \({r}_{e}\) values. And Cs, Caesium provided the lowest value because of its high atomic radius \({r}_{e}\).
