With e h 2 2 mr 2 ke 2 r de dr ke 2 r 2 h 2 mr 3 set

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With E = h 2 /2 mr 2 ke 2 / r , dE / dr = ke 2 / r 2 - h 2 / mr 3 . Set dE / dr = 0 and solve for r = r m ; r m = h 2 / ke 2 m . This is just the Bohr radius a 0 . Consequently, the energy is the ground state energy of the hydrogen atom, namely ,–13.6 eV. 17*·· In a reference frame with the origin at the center of mass of an electron and the nucleus of an atom, the
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