Look Sharp, A New Expression

From the updated post "$T_{boom}$ To The Power Of $T_{boom}$" dated 09 Nov 2017, from which we have the notion that clustering elevate the thermal energy of a particle,

$\cfrac{E_a}{\cfrac{3}{2}kT_{boom}}=\cfrac{1}{n}$

at the same time the particle is actually an aggregate of $n$ particles, at speed $v_{boom}$.

This does not introduce new inventions into Kinetic Theory but is derived within Kinetic Theory with the application $v_{boom}$.  The mean state $n$ is responsible for the existence and spread of discrete energy states, $m$.

$P(energy\,state\,m)=e^{-\cfrac{E_a}{k.\cfrac{3}{2}T_{boom}}}.\cfrac{\cfrac{1}{n^m}}{m!}$

If a matter has a liquid state or a solid state, particles in it will bond to from aggregate and so the particles cluster.  In the case of water, hydrogen bonds cluster the molecular particles.

This is not new, but the term $\cfrac{1}{m!}$ does explain the deviation when $m$ is high.  In this expression the tail end of the graph is lowered by high values of $m$.  At the same time, $T_{boom}$ axis is contracted by $1.5$ (3D graph).  These result in a much sharper graph.

Goodnight.