Deriving Rydberg's Equation

[Timothy_Yueh_4L]

How do you derive E = Rh (1/nf^2 – 1/ni^2) from v = R (1/nf^2 – 1/ni^2)?

[WilliamNguyen_4L]

Sinve E=hv we can rearrange it into E/h=v. Then we substitute E/h for v in rydberg’s equation and multiply by h on both sides to isolate E.

[Grace Diaz 3F]

To calculate the differences between two energy levels you take the difference in their frequencies and end up with v=R[1/nf^2-1/ni^2]. Frequency=change in E/ h, is given by the Bohr frequency condition. If we substitute v for E/h, we can multiply the other side of the equation by plank's constant to get E=Rh[1/nf^2-1/ni^2].