Platonic, Other Thresholds and Nature of Interaction

The table below shows the ratio of photon radius, $r$  at threshold frequency, $f$  to atomic radius ${r}_{e}$ of some metals.  Where $r=\cfrac{c}{2\pi.f}$

Metal	Atomic Number	Threshold Freq	Radius, r	Atomic Radius, re	r/re	e Shell Configuation
aluminum	13	9.846E+014	4.8460E-8	1.18E-010	410	2,8,3
lead	82	9.990E+014	4.7761E-8	1.54E-010	310	2,8,18,32,18,4
zinc	30	1.038E+015	4.5967E-8	1.42E-010	323	2,8,18,2
iron	26	1.086E+015	4.3935E-8	1.56E-010	282	2,8,14,2
nickel	28	1.209E+015	3.9465E-8	1.49E-010	265	2,8,16,2
copper	29	1.134E+015	4.2075E-8	1.45E-010	290	2,8,18,1
silver	47	1.141E+015	4.1817E-8	1.65E-010	253	2,8,18,18,1
gold	79	1.231E+015	3.8760E-8	1.74E-010	222	2,8,8,32,18,1
platinum	78	1.532E+015	3.1145E-8	1.77E-010	176	2,8,18,32,17,1

High $\frac{r}{{r}_{e}}$ ratio corresponds to high outer shell charge.  This suggests that the interaction between orbital electrons and photons is electrostatic in nature.  Which might explain why we cannot use a light microscope, however powerful, to inspect an atom.  Photons bounce away from the outer electronic shell of the atom without reaching it.  A photon picture will be a fuzz, because the interaction is in a electrostatic field at a distance without surface contact.  The good news is such interactions (electrostatic) occur with greater ease and frequency compared to rigid body contact collisions.