No Prize Getting Close

From the posts "X Ray, Inner Electron Cloud And Just As Shocking" dated 28 May 2016 and "X Ray, Inner Electron Cloud And Just As Shocking TWO" dated 15 Oct 2017, it was mistaken that for copper,

$N=9$

That is not true.  The inner shell of the copper atom has $N=10$ electrons surrounding a $Ar$ nucleus.  With $E_{\beta}=1.39222\dot{A}$

$a_{\psi}=\cfrac{E_{\beta}}{N.2\pi}=\cfrac{1.39222\dot{A}}{10*2\pi}=0.02215\dot{A}$

and,

$f_{res}=0.061\cfrac{299792458}{0.02215*10^{-10}}=8.2532*10^{18}$

And

$I_{res}=q_e*f_{res}=1.602176565∗10^{-19}∗8.2532*10^{18}=1.322\,A$

Compared to $1.197\,A$, close enough, but no prize.

If $N$ could be obtained by SPECULATING about the occupancy of the inner shell of copper,  $ave.E_{\alpha}$ will not be necessary to estimate $N$.  Only $E_{\beta}$ is involved in the derivation of $I_{res}$.

Can we be sure that $N=10$ for copper?  No...