Is there a special term for the rain with tiny raindrops?

Drizzle – Meteorology. precipitation consisting of numerous, minute droplets of water less than 1/50 in. (0.5 mm) in diameter.

Mist – to rain in very fine drops; drizzle (usually used impersonally with it as subject): It was misting when they went out for lunch.

I vote for mist.

There are three types of drizzle, as I found out: light, medium and heavy. I was referring to the light drizzle http://images.usatoday.com/weather/images/drizzle_body.jpg

Looks like the mist is more of a fog with better visibility http://en.wikipedia.org/wiki/File:Mist_-_Ensay_region3.jpg

It’s sprinkling!

I never knew “drizzle” was a technical term. I thought it was just something colloquial.

Learn something new every day.

@alex2 Glad you found your answer. Welcome to Fluther!

Anothe term for what you described in the details is a shower, i.e. “showers ar likely through the morning.”