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### Atomic Spectra for H

Posted: Sun Oct 13, 2019 1:24 pm
In lecture, Dr. Lavelle said that a certain equation only works for H since that was the element used for the experiment. Which equation was that, and when he said that certain energy level jumps were certain groups of spectral lines, does that only apply when the element is H?

### Re: Atomic Spectra for H

Posted: Sun Oct 13, 2019 1:29 pm
The equation is:
En = -hR/n^2
where n is the energy level of the electron and r is rydberg's constant (3.29*10^15 Hz)
The different series (balmer,lyman, etc) are used to describe the lines of emissions of the electrons of the Hydrogen atom but we have not discussed whether they can be used for other elements as well.

### Re: Atomic Spectra for H

Posted: Sun Oct 13, 2019 1:30 pm
The equation is En=-hR/n^2. This applies only to atoms with one electron (hydrogen) because if there were more, then they would repel each other.

### Re: Atomic Spectra for H

Posted: Sun Oct 13, 2019 1:32 pm
I believe the eqn was En=-hR/n^2 because it is based on experimental data for the H atom. Other atoms have more energy levels, so you would need a more sophisticated model for multi-electron systems. Every element has it's own set of spectral lines because only specific frequencies can be absorbed or emitted by that particular element.

### Re: Atomic Spectra for H

Posted: Sun Oct 13, 2019 1:36 pm
The equation is E=-hR/n^2
h is Planck's constant (6.62607004 × 10-34 m2 kg / s)
R is Rydberg's constant (10 973 731.6 m-1)
n is the energy level
You use this equation when you're trying to find the energy of whatever n energy level. So for example if an electron transitioned from n=4 to n=2, we would have something like:
E(final)= -hR/4^2 - E(initial)= =hR/2^2

### Re: Atomic Spectra for H

Posted: Sun Oct 13, 2019 1:39 pm
I believe the equation is this one: En= -hR/n2, which you can use when you are trying to find the energy of the transitions between certain n levels. The Lyman (n=1), Balmer (n=2), Paschen (n=3), Brackett (n=4), and Pfund series (n=5) describes the spectrum of hydrogen.