Both are different and separate scattering properties actually.
The blue color of the sky is caused by the scattering of sunlight off the molecules of the atmosphere. This scattering is called Rayleigh scattering. It's more effective at short wavelengths (blue end of the visible spectrum). Light scattered down to the earth at a large angle with respect to the direction of the sun's light is predominantly in the blue end of the spectrum.
The scattering from molecules and very tiny particles (< 1 /10 wavelength) is predominantly Rayleigh scattering. For particle sizes larger than a wavelength, Mie scattering predominates. This scattering produces a pattern like an antenna lobe, with a sharper and more intense forward lobe for larger particles.
Mie scattering isn't strongly wavelength dependent and produces the almost white glare around the sun when a lot of particulate material is present in the air. It also gives us the the white light from mist and fog.
Theres actually a dramatic 'absence' of particles in the air of the polar regions where Mie scattering is not a present phenomenon. Very interesting!
I hope Mie and Releigh Scattering will be simulated in a future version of Maxwell and soon.
Cheers,
Paul.
Creativity is allowing yourself to make mistakes. Art is knowing which ones to keep.