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Rydberg Equation Calculator — result sheet
Calculate a hydrogen-like spectral transition wavelength, wavenumber, and photon energy from atomic number and energy levels.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: 1/lambda = R_infinity Z²(1/n_f² − 1/n_i²); photon energy = hc/lambda.
The Rydberg relation gives the ideal spectral-line wavelength for a hydrogen-like atom. The page reports the transition scale and photon energy while keeping the one-electron model explicit.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Hydrogen-like atomic number Z — minimum 1; maximum 50
- Lower energy level n_f — minimum 1; maximum 1000
- Upper energy level n_i — minimum 2; maximum 1000
Worked example
| Input | Value |
|---|---|
| Hydrogen-like atomic number Z | 1 |
| Lower energy level n_f | 2 |
| Upper energy level n_i | 3 |
Hydrogen transition wavelength ≈ 656.11 nm; photon energy ≈ 1.89 eV.
Assumptions and limits
- Atomic number and both energy levels are positive integers with n_i greater than n_f.
- The hydrogen-like approximation uses the Rydberg constant for an effectively single-electron system.
- Reduced-mass corrections, fine structure, electron spin, multi-electron screening, and line broadening are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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