There's some Chemistry involved in this thread, so here I am
with my contribution :
Smoke particles are actually a collection of airborne solid and
liquid particulates and gases emitted when a material undergoes
combustion (particularly incomplete combustion), and hence the
visible portion or particles of smoke, are mostly large
solid molecules that consist of hundreds or thousands of atoms
bonded (including induced dipole-dipole van der Waals forces, not
necessarily covalent or ionic) together, and hence obviously
visible. Put in another way, solid particles and liquid droplets
that are close to the ideal range of sizes for the scattering of
visible light.
Air particles, on the other hand, (are almost
entirely) consist(ing) of gaseous nitrogen, oxygen, carbon dioxide,
and noble gases, all of which are :
a) Simple molecular and mono, di, tri or oligo atomic, eg.
N2, O2, CO2 He, etc. Hence only a tiny fraction of the size of
smoke particles.
b) Spread out VERY far apart from each other. This is a
basic tenet of the Ideal Gas Theory (Chemistry), that specifies :
gas molecules can be considered to be "points"; ie. they possess
mass but have negligible volume.
c) Colourless. The main gaseous constituents of air are all
colourless, unlike coloured gases like NO2, Cl2, Br2, etc. (Noble
gases emit light when excited by electromagnetic fields, but are
also colourless under normal non-excitatory conditions).
For the 3 reasons above, air particles are not
visible, in contrast with smoke particles,
which again, are solid particles and liquid droplets that
are close to the ideal range of sizes for the scattering of visible
light.