## Energy Level in A Hydrogen Atom

H-Atom ($E_{n}=-\frac{hR}{n^{2}}$)

Mulin_Li_2J
Posts: 105
Joined: Sat Aug 17, 2019 12:16 am

### Energy Level in A Hydrogen Atom

So here is the question,

The energy gap between two consecutive energy level decreases as n goes up. As n approaches infinity, the energy gap approaches 0, but it will never equal to zero. Does it mean that an electron could never get away from influence of hydrogen nucleus because mathematically it could never escape?

Justin Sarquiz 2F
Posts: 106
Joined: Fri Aug 30, 2019 12:15 am

### Re: Energy Level in A Hydrogen Atom

When we use the energy level equation, I think we are under the assumption that the electron is in an energy level with the nucleus. Once the electron leaves the influence of the nucleus, then this equation does not apply. Therefore, as n approaches infinity, we make the assumption that the electron is somehow still under the influence of the nucleus even though this is highly unlikely in nature.