Tvboom=(3.4354∗densityZ)2∗atomicmass∗10−33∗8.3144
where Z is the atomic number, R=8.3144JK−1mol−1.
We have,
Tvboom=Mm∗(ρZ)2∗4.731∗10−4
where ρ is density, Mm is molar mass and Z is the atomic number.
The formula for Tvboom is derived from kinetic energy expression for non interacting particles which is true when the material concerned is a sparse vapor at high temperature. This means Tvboom should be beyond the boiling point of the element.
If such a Tvboom can be achieved, at this temperature, all the material disintegrate at once.
For Osmium Os, the densest element,
Tvboom=190.23∗(2259076)2∗4.731∗10−4=7951.3K
which has a boiling point of 5285K.
Maybe Uranium is not necessary. Nuclear fission has nothing to do with radioactivity.
Note: In general,
Tvboom=(3.4354∗densityno.ofparticles)2∗molarmass∗10−33∗8.3144
where molar mass (and atomic mass) is measured in gmol−1.
Tvboom is a resonance phenomenon, at any value other than Tvboom disintegration does not occur.
Note: Maybe just upon disintegration the material particles are freed from its lattice hold and are thus non-interacting particles (other than collisions) as the derivation of vrms requires. If the material is already at a vapor state at Tvboom then disintegration is instantaneous. If not in a vapor state, then disintegration occurs only on the surface where material particles can break free; which make a sealed coal containment at 538.3oC safe.
Note: Maybe just upon disintegration the material particles are freed from its lattice hold and are thus non-interacting particles (other than collisions) as the derivation of vrms requires. If the material is already at a vapor state at Tvboom then disintegration is instantaneous. If not in a vapor state, then disintegration occurs only on the surface where material particles can break free; which make a sealed coal containment at 538.3oC safe.