/sci/ - Science & Math

I understood everything up to equation (9). I saw he referred to Reference 16 there, but the equation is only given and not motivated in that reference. What I don't understand is how the frequency depends on "n." In Reference 16 he gives pic formula not in Gaussian units so taking "m" as the mass of hydrogen atom
[math] \omega\approx\sqrt{ \dfrac{10\times 10^{-19}\times 10^{-19}\times n}{10\times 10^{-12} \times10^{-27}} } \approx\sqrt{n}[/math]

If we take a "n" as Avogadro's number, which is a severe underestimation for the number of atoms in a star, the the frequency is on the order of 10^11 or 10^12. Pic related, that's reasonable but how does it work when "n" is not on the order of Avogadro's number? And how many moles are in a star? I would like to see how he came up with frequency depending on "n."