And yet, if the atmosphere was fully transparent, there would be no scattering of light. The blue colour is an effect of the amount of air, but there would be no colour at all if air was fully transparent.
That is funny. According to you, for a medium to be called “fully transparent” there has to be no scattering of light. By that definition, water and air are not “fully transparent”. I’m not sure if such a material exists that doesn’t scatter any amount of light.
Correct. The only substance I can imagine being completely transparent would be some kind of dark matter. Everything else still interacts with light, no matter how little. Even deep space isn’t completely transparent, as we can tell what elements exists as interstellar and intergalactic dust from spectrographs.
Atmospheric absorption spectrum - We can see (heh) that the atmosphere is completely opaque to most electromagnetic radiation before scattering. Only some microwaves and short radio waves can pass without any absorption.
Atmospheric transmission spectrum - We can see that not even 60% of visible light is transmitted to the surface directly due primarily to scattering losses. That scattered light is why our sky is blue during the day and orange at sunset/sunrise. Mars’ atmosphere is orange during the day and blue at sunset/sunrise for the same reason.
The physics of light scattering doesn’t change based on how much atmosphere you have, even a single particle can scatter light. In fact, the physics of scattering is based on single particles, and the particle size is what differentiates Rayleigh scattering from Mie scattering. Other interactions with the incident particle can cause Raman and Compton scattering too. None of these need multiple particles.
The density of the atmosphere matters.
Because scattering happens when photons hit particles, so the more particles the more scattering.
Light coming at you thru the atmosphere from above has a much shorter trip through the atmosphere than light coming at you near the horizon.
The longer path length means more chances to hit particles and scatter and the higher frequency ‘blue-er’ light gets filtered out more or absorbed and reradiated as a lower frequency light, more so than the lower freq red/yellow light.
Photons should be fully transparent right?
By that definition, water and air are not “fully transparent”. I’m not sure if such a material exists that doesn’t scatter any amount of light.
That seems to be the scientific consensus, yes. It’s like friction, no material is truly frictionless just like no material is truly completely transparent. The ocean gets real dark once you get deep enough which does seem to suggest that water is not fully transparent.