Balmer's Equation: Simpler Calculation of Hydrogen Wavelengths

[Gaz]

So the Balmers constant is cool and easy to use compared to the Rydberg constant and I was looking for something simpler and came up with this.

If you change the Balmers constant to B=91.126705 by dividing it by 2² (because 364.50682 is the Balmers series) and use the formula. Wavelength = BN²(n²/(n²-N²)) N being the series N=1 lyman N=2 Balmers etc. Now I can use the Balmers to calculate all the wavelengths of hydrogen with ease and answers in nm.

Any thoughts on this I tested it out and it looks to work great maybe someone else could give it a go and make sure it works thanks.

 

[Wuberdall]

It follows directly - by some elementary algebraic manipulation - from Rydbergs formula.

So start from Rydbergs formula and try to rewrite it on your desired form.

 

[Gaz]

I did from Balmers and it works. I did what Rydberg did but in a different way that I think is a lot simpler