## Bohr Frequency Condition

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

Ayesha Aslam-Mir 3C
Posts: 112
Joined: Wed Sep 30, 2020 9:43 pm

### Bohr Frequency Condition

What particularly is the Bohr Frequency Condition; to clarify, is it referring to the frequency of an electron jumping certain energy levels when quantized?

Ayesha Aslam-Mir 3C
Posts: 112
Joined: Wed Sep 30, 2020 9:43 pm

### Re: Bohr Frequency Condition

Also, when would we use the associated equation (En= -hR/n^2) vs the Rydberg equation?

Peter DePaul 1E
Posts: 88
Joined: Wed Sep 30, 2020 9:55 pm
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### Re: Bohr Frequency Condition

The Bohr Frequency condition states a photon of light emitted during transition from a higher energy level to a lower energy level has a fixed energy, and therefore also has a fixed wavelength and frequency. This is where this equation comes from $E_{photon}=E_{2}-E_{1}$ from there we can rearrange to solve for frequency $h\nu =E_{2}-E_{1}$ which becomes $\nu=\frac{E_{2}-E_{1}}{h}$.
Since then it was experimentally determined that the energy at any given energy level is $E_{n}=\frac{-hR}{n^2}$, where n = energy level, h = planck's constant, and R = $3.29\times 10^{15}Hz$. The Rydberg Equation was derived from this formula $\nu=\frac{E_{2}-E_{1}}{h}$, so you do not ever need to use the Rydberg equation if you find it confusing. You can simplify it down to solving for the energy at the different energy levels using $E_{n}=\frac{-hR}{n^2}$ for each one, then substituting those values into $\nu=\frac{E_{2}-E_{1}}{h}$ and you will get the same answer the Rydberg Equation would provide.