Most Number Of...

What if, we are to use $v_p$ instead of $v_{rms}$ in the discussions of perovskites solar cells and superconductors,

$T_{v\,p}=v^2_{boom}*\cfrac{molar\,mass*10^{-3}}{2*8.3144}$

$T_{v\,p}=\cfrac{3}{2}T_{boom}$

In the case of $MgO_3Ti$ with, $Z_m=22+12+8*3=58$ a density of  $3.36\,gcm^{-3}$ and molar mass of $120.17\,gmol^{-1}$. Its $T_{v\,p}$ is,

$v_{boom}=3.4354*\cfrac{3360}{58}=199.01$

$T_{v\,p}=199.01^2*\cfrac{120.17*10^{-3}}{2*8.3144}=286.21\,K$ or $13.06\,^oC$

For $ZnTiO_3$,

$T_{v\,p}=\cfrac{3}{2}*354.41=531.62\,K$  or $258.46\,^ oC$

For $TiCaO_3$,

$350.91\,K\lt T_{v\,p}\lt402.0\,K$  or  $77.76\,^oC\lt T_{v\,p}\lt128.85\,^oC$

For $FeTiO_3$,

$458.79\,K\lt T_{v\,p}\lt476.50\,K$  or  $185.64\,^oC\lt T_{v\,p}\lt203.36\,^oC$

For $MnTiO_3$,

$T_{v\,p}=437.01\,K$  or  $163.83\,^oC$

It seems that only by reducing the density of high value $T_{v\,p}$ perozskites can $T_{v\,p}$ at room temperature be achieved.  For example a $82.60\%$ $MnTiO_3$ has a $T_{v\,p}$ of

$T_{v\,p}=0.8260^2*437.01=298.16\,K$  or  $25.01\,^oC$

The rest of the $100\%$, $17.40\%$ can be with $Fe$, $FeTiO_3$, as long as they can form into the same crystal structure.

Reducing density can only reduce $T_{v\,p}$; $T_{v\,p}$ cannot be increased this way.  Density can only be reduced given a crystalline structure.

It is likely that $v_p$ provides the most number of freed particles that will act as charge carriers.  Super-superconductor...The difference between $v_p$ and $v_{rms}$ is,

$v_p=\sqrt{\cfrac{2}{3}}v_{rms}=0.667v_{rms}$

$v_p$ should be used instead of $v_{rms}$; we should set $v_{p}=\sqrt{\cfrac{2RT}{nM_m}}=v_{boom}\ne v_{rms}$ such that $T=T_{boom}$.

And it rains again...