Why Is 13.6 Used in Bohr's Formula for Hydrogen Atom Energy Levels?

[jcmartinez]

using this formula E=13.6-(13.6/n^2)
E = energy
n= energy level.
using that formula Bohr predicted the energy levels for each of the allowable orbits in the Hydrogen atom.

now i would like to understand why 13.6 is used.

http://www.youtube.com/watch?v=hpKhjKrBn9s&feature=iv&annotation_id=annotation_736168

this link will take u to the video I am watching on the bohr model. its a 9 min video. but the exact spot to see where this formula is mentioned is at the 5 min 17 sec mark. so start off at about the 5 min mark and u will be able to hear him say..

the energy of an electron in a certain orbit is a function between the speed of the e-, and the attraction between the nucleus and the e-. which as coulomb's law describes, it depends on the square of the distance between them.

now i don't quite what the video ment to say by that phrase above. and i do not understand where the 13.6 comes from in the formula.

i hope someone can help me.

 

[Borek]

http://en.wikipedia.org/wiki/Rydberg_constant

 

[jcmartinez]

your response does not help me. thank you though

 

[Borek]

13.6 is a Rydberg constant (in eV), and Wikipedia article explains where does it come from. See also http://en.wikipedia.org/wiki/Rydberg_formula.