Gas molecules are continuously bumping into each other. This produces a seemingly random movement of all gas molecules that results in all constieunts of a gas (regardless of mass) becoming evenly dispersed in a fixed volume. It is a fundamental property of gases that they always expand to fully and evenly occupy any fixed volume.
Of course, since the atmosphere is not a fixed volume, then gravity will eventually separate out the heavier molecules. However, turbulence and thermal convection continuously mix upper and lower layers of the atmosphere to about 60 miles. Above this altitude the atmosphere begins to separate out according to molecular mass. The vertical distance upwards, over which the pressure of a particular constituent decreases by a factor of e can be calculated as follows:
H = KT/MG
where:
K = Boltzmann constant = 1.38 x 10−23 J·K−1
T = Temperature in kelvins
M = Molecular mass
G = Acceleration due to gravity (m/s²)
So, at the highest altitudes of the atmosphere, hydrogen gas is the predominate molecule.