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### Atomic Spectra & Energy Levels

Posted: Sun Jul 02, 2017 11:20 pm
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!

### Re: Atomic Spectra & Energy Levels

Posted: Tue Jul 04, 2017 8:31 pm
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.

### Re: Atomic Spectra & Energy Levels

Posted: Fri Jul 07, 2017 10:33 pm
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.