\(v_{boom}=3.4354*\cfrac{3980}{66}=207.17\)
\(v_{boom}=3.4354*\cfrac{4260}{66}=221.74\)
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!
