Rydberg Equation Calculator
Calculate spectral line wavelength: 1/lambda = R(1/n1^2 - 1/n2^2). R = 1.097 x 10^7 m^-1.
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Enter the lower (n1) and upper (n2) energy levels. n2 must be greater than n1. The calculator applies 1/lambda = R(1/n1^2 - 1/n2^2) and converts to nanometers. It also identifies the spectral series.
About the Rydberg Equation Calculator
The Rydberg equation predicts the wavelengths of spectral lines emitted by hydrogen atoms. Developed by Johannes Rydberg in 1888, it was one of the first quantitative successes in atomic physics. It was later explained by Bohr's model and quantum mechanics.
Frequently Asked Questions
What are the hydrogen spectral series?
When n1=1: Lyman series (ultraviolet). n1=2: Balmer series (visible). n1=3: Paschen series (infrared). n1=4: Brackett series (far infrared). n1=5: Pfund series (far infrared).
Why does this only work for hydrogen?
The basic Rydberg equation applies to hydrogen-like (single-electron) species. For multi-electron atoms, electron-electron repulsion complicates the energy levels. Modified forms exist for hydrogen-like ions (He+, Li2+).
What is the Rydberg constant?
The Rydberg constant R = 1.0974 x 10^7 per meter. It was one of the first precisely measured physical constants and played a key role in the development of quantum mechanics.