In the case of Neon \(Ne\), \(Z=10\) and density \(0.0008999\,gcm^{-3}\),
\(r=\cfrac{v_{boom}}{2\pi f}=\cfrac{3.4354}{2\pi f}*\cfrac{density}{Z}\)
\(f=280.73\,Hz\)
\(r=\cfrac{3.4354}{2\pi *280.73}*\cfrac{0.8999}{10}\)
\(r=1.753*10^{-4}\,m\)
by itself too small for easy manufacture.
For \(n=1000\),
\(r=0.1753\,m\)
a torus with a Neon gas channel of radius \(17.53\,cm\) that has \(2000\) contact points to draws \(T^{-}\) particles along its circular length. These will be very fine contact points.
Goodnight.