Thursday, June 5, 2014

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.