For Small Not For All

Is this valid for a solid?; atoms in a regular lattice being bombarded with temperature particles or electric charges,

$E_{input/atom}=\cfrac{1}{2}c^2*{density}*{Z}*3.4354$

$v_{boom}={density}*{Z}*3.4354$

where a unit volume moves across with velocity $v_{boom}$ to provide the necessary energy input per atom.

Compared with per particle view,

$E_{input/particle}=\cfrac{1}{2}c^2*\cfrac{density}{Z}*3.4354$

$E_{input/particle}*Z^2=E_{input/atom}$

This will be a high number; the associated $T_{boom}$ is even higher by a factor of $Z^4$.

For iron, $Z=26$, density $7874\,kgm^{-3}$ and molar mass $0.055845\,kgmol^{-1}$

$v_{boom}=3.4354*7874*26=7.0331e5\,ms^{-1}$

$T_{boom}=7.0331e5^2*\cfrac{0.055845}{2*8.3144}=1.6611e9\,K$

This is hotter than the Sun.  Only photons at light speed can provide such energy on the small particle scale. An atom is indestructible, as a atom!

Good night.