the diameter of a ground-state hydrogen atom in meters?

It’s infinite. The wavefunction of the electrons in the atom aren’t constrained by an infinite potential, and therefore tail off to infinity. You have to define a cut-off to the electron density that you can accept as being close enough to zero to call the “edge” of the atom.
That said, however, the Bohr radius a_0 = 5.29*10^-11m is the distance between the nucleus and the most probable position of the electron. Doubling this distance gives the diameter, not from the “edge” of the atom to the opposite edge, but the diameter that the electron is most likely to be found orbiting at. So 1.58*10^-10m.


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