With \(ZnTiO_3\), with \(Z_m=30+22+8*3=76\), molar mass of \(161.24\,gmol^{-1}\) and a density of \(5.18\,gcm^{-3}\),
\(v_{boom}=3.4354*\cfrac{5180}{76}=234.14\,ms^{-1}\)
and
\(T_{boom}=234.14^2*\cfrac{161.24*10^{-3}}{3*8.3144}=354.41\,K\) or \(81.26\,^oC\)
If \(ZnTiO_3\) crystal are reduced in density to 91.72% by adding a dopant (\(Mn\), \(Fe\) are all capable of oxidation state \(+3\)), then \(T_{boom}\) is reduced by,
\(T_{boom}=0.9172^2*354.41=298.15\,K\) or \(25.00\,^oC\)
Changing the crystal's density tunes down \(T_{boom}\). Goodnight.
