Balmer's Equation: Simpler Calculation of Hydrogen Wavelengths

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The discussion highlights a simplified approach to calculating hydrogen wavelengths using the Balmers constant, specifically modifying it to B=91.126705. By applying the formula Wavelength = BN²(n²/(n²-N²)), where N represents the series (N=1 for Lyman, N=2 for Balmer), users can easily derive wavelengths in nanometers. The method is based on a manipulation of Rydberg's formula, aiming for a more straightforward calculation. The author has tested this approach, finding it effective, and encourages others to verify its accuracy. This alternative method offers a practical solution for those looking to simplify hydrogen wavelength calculations.
Gaz
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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.
 
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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.
 
I did from Balmers and it works. I did what Rydberg did but in a different way that I think is a lot simpler
 
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