The square of the wavefunction of 1s electron in hydrogen atom is finite. Multiplying it by dV just around the nucleus would give us the probability of finding electron there. But how can an electron be found in nucleus?

  • $\begingroup$ Take a look at chemistry.stackexchange.com/questions/118886/… $\endgroup$ – Ian Bush Aug 19 at 6:28
  • $\begingroup$ Electron capture would certainly be more difficult if electrons never spent time near the nucleus... $\endgroup$ – Jon Custer Aug 19 at 13:40
  • $\begingroup$ Although the probability of finding a particle, in quantum mechanics, is lower in some places and higher in others, it does not go to zero except for special circumstances (e.g., cannot fit). So there is a small but finite probability it can be found virtually anywhere, and the more you know of its momentum, the less sure you can be where it is at that moment. If you're uncertain, see en.wikipedia.org/wiki/Uncertainty_principle . The Esaki, or tunnel, diode is a macroscopic example of such quantum fuzziness. $\endgroup$ – DrMoishe Pippik Aug 19 at 17:31

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