Geeky Fun And Hor Fun

An example of $f_{osc}$ is,

$f_{osc}=c\sqrt{\cfrac{2\pi}{(53*10^{-12})}}$

where for hydrogen atom, $a_{\psi}=53\,pm$

$f_{osc}=1.0322e14\,Hz$

and for Iron, $a_{\psi}=156\,pm$

$f_{osc}=c\sqrt{\cfrac{2\pi}{(156*10^{-12})}}=6.0165e13\,Hz$

What is the significance of these frequencies?

What if,

$f_{osc}=f_{res}$

$c \sqrt{\cfrac{2\pi}{a_{\psi}}}=0.061\cfrac{c}{a_{\psi}}$

$a_{\psi}=\cfrac{(0.061)^2}{2\pi}=5.9222\text{e-4}\,m$

a big particle.  But what is the point in $f_{osc}=f_{res}$?

Just having fun...slurp, slurp