(5-19) ① The energy of the electron is given by equation V-17:
(5-19) ① The energy of the electron is given by equation V-17:
Substituting in the values of the constants, this becomes:
E = - (2.31 x 10-28)/<r> + (4.58 x 10-39)/<r>2
So, we get:
<r> E/J
4.0 x 10-11m (normal mean distance) -2.9 x 10-18
8.8 x 10-16m (radius of proton) +5.9 x 10-9
The energy needed to bring the electron in to the edge of the nucleus is therefore the difference between these energies, which is 5.9 x 10-9 J.
② This equates to 3.7 x 1010 eV or, if you prefer, 3.6 x 1012 kJmol-1. This compares to our estimated 18 eV / 1700 kJmol-1 for the ionisation energy. A whole different league.