Iron Carbide Fe3C, Z=3∗26+6, density 7640kgm−3, molar mass 179.54gmol−1,
vrms=3.4354∗densityZ
vrms=3.4354∗76403∗26+6=312.46ms−1
and
Tboom=v2rms∗Molarmass3∗8.3144
Tboom=312.462∗179.54∗10−33∗8.3144=702.75K or 429.25oC
It would seems that Tboom for Fe3C has nothing to do with annealing of steel nor its critical temperature.
Tp however,
Tp=v2rms∗Molarmass2∗8.3144
Tp=312.462∗179.54∗10−32∗8.3144=1054.12K or 780.97oC
It could be that clusters of Fe3C with the effective density of 7640kgm−3 are broken up in steel at 780.97oC and that gives it strength.
vp is more relevant here because, instead of multiple collisions to gain the required kinetic energy input to set off a boom effect, in this non-homogeneous medium, only one collision on the quasi-nucleus of Fe3C can be expected to deliver energy at the rate required. Multiple collisions on the quasi-nucleus do not add up to vboom.
Maybe, Tboom=429.25oC is just as effective annealing, it is simply not experimented with before.
Just when Tboom was deemed more relevant (post "RMS Than Most Probable" dated 1 Jan 2018).
Note: For annealing steel is heated up 20−50oC above critical temperature at 723oC.
