Perovskite Crystal And Critical Temperature

Perovskite crystal has a repeating unit of $TiCaO_3$, $Z_m=22+20+8*3=66$ and a formula mass of $135.96\,gmol^{-1}$ and a specific gravity of $3.98–4.26$.

$v_{boom}=3.4354*\cfrac{3980}{66}=207.17$

$v_{boom}=3.4354*\cfrac{4260}{66}=221.74$

A $v_{boom}$ range of $207.17$ to $221.74$.

And a corresponding $T_{boom}$ range of,

$T_{boom}=207.17^2*\cfrac{135.96*10^{-3}}{3*8.3144}=233.94\,K$

$T_{boom}=221.74^2*\cfrac{135.96*10^{-3}}{3*8.3144}=268.0\,K$

$233.94\,K\lt T_{boom}\lt268.0\,K$

which is about $-5.14\,^oC$ to $-39.20\,^oC$

A very cold solar cell.

If we replace $Ca$ with $Mg$, $MgO_3Ti$ with, $Z_m=22+12+8*3=58$ a density of  $3.36\,gcm^{-3}$ and molar mass of $120.17\,gmol^{-1}$. Its $T_{boom}$ is,

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

with a lower molar mass this is going to lower $T_{boom}$ further.

And $TiBeO_3$ does not seems to exist, but the search leads to Ilmenite, $FeTiO_3$ of $Z_m=26+22+8*3=72$, a specific gravity of $4.70–4.79$ and a molar mass of $151.7102\,gmol^{-1}$,

$v_{boom}=3.4354*\cfrac{4700}{72}=224.25$

$v_{boom}=3.4354*\cfrac{4790}{72}=228.54$

and a $T_{boom}$ range of,

$T_{boom}=228.54^2*\cfrac{151.7102*10^{-3}}{3*8.3144}=317.67\,K$

$T_{boom}=224.25^2*\cfrac{151.7102*10^{-3}}{3*8.3144}=305.86\,K$

and it is over the range of $32.71\,^oC$ to $44.53\,^oC$.  We may have a winner with Ilmenite as a room temperature superconductor!