## Atomic Spectra & Energy Levels

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

Jynelle Brillantes 1E
Posts: 8
Joined: Wed Nov 16, 2016 3:02 am

### Atomic Spectra & Energy Levels

Can someone please explain the following:

As $n \rightarrow \infty , E \rightarrow 0$

This was noted in class on Friday (6/30) with regard to changes in energy levels, and some clarification would be greatly appreciated!

Chem_Mod
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### Re: Atomic Spectra & Energy Levels

Look at the equation: $E = \frac{-hR}{n^{2}}$

As n increases E must decrease. If n is very large then E is very small.

Paul Wong1B
Posts: 25
Joined: Fri Jun 23, 2017 11:39 am

### Re: Atomic Spectra & Energy Levels

In a mathematical sense, the limit of the function $\frac{1}{n}$ as n approaches infinity is 0 (same principle applies for $\frac{1}{n^{2}}$), so the energy (E) value will go to 0 when n approaches infinity.