If we assume that collision is the only factor effecting the movement of space particles, then from the previous post "Shape Of Things To Come", the particle does not lose its momentum, otherwise it would disappear within ten collisions. The particle collide with one other particle each time and impart its whole velocity onto this particle, itself come to rest immediately. There is no change in speed direction; the quantum travels in a straight line. (And so light travels in a straight line.)
So, the quantum as a whole travels without attenuation, as its particles transfer momentum without loss from collision to collision.
The next quantum is at a period Te later, as the electron perform SHM about its mean orbital radius reo. Te is the period of the electrons oscillating about reo. This period varies from material to material not necessarily at resonance. A coil brought slowly to resonance by increasing its voltage frequency from zero, emit the same quantum throughout; it displays the same spectrum. (Remember that the band gap is oscillating at twice the frequency of neighboring oscillating valence electrons, atom to atom.)
This suggests that we detect the "colors" of a quantum not by its frequency 1Te but by the amount of energy it carries, ie. its KEs. However, each quantum is associated with photons over a range of frequencies as a result of the way photons interact with electrons that emit the quantum on transition across a band gap. 1Te effects the intensity of the light we perceived, obviously 1TeKEs is power, Js-1.
Disappointingly no shape and no wave.