Tiny spheres of vacuum

In order to be buoyant in air, an evacuated vessel would need to have a mass slightly less than the mass of the air it displaces - sorry if that’s obvious, but that is how buoyancy works and it’s not a lot to work with.

Calculations at a really small scale yield results that are difficult to envisage, so just to begin, consider a sphere that has a volume of 1 cubic metre; the mass of that amount of air at sea level etc is about 1.25kg - so you’d have to make a sphere of some impermeable material with excellent compressive strength, out of less than 1.25kg of that material.

There will be scaling effects that bring this closer to being possible at smaller scales, but I believe it never quite gets to the break-even point where vacuum could be used practically to create net positive buoyancy in air.
Here are a few previous threads on the topic: