The smallest snowflake

Today I happened to be out when it was just starting to snow. The snow "flakes" were more like tiny balls of snow, not much larger than a plant seed. Now, the snow flakes are much bigger and I can see them swirling around outside my office window. If the flakes start small and get bigger, then does that mean there's some theoretical "smallest snowflake", if you take the limit as time goes toward some initial snow-starting point? Maybe it's more of a continuum, with snowflakes getting arbitrarily small the closer you go to this point, until there are snowflakes as big as a single atom, a single quantum, or even smaller.