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Lyman Series Calculator

Use our lyman series calculator for quick and accurate calculations. Free online tool.

🌈 Spectroscopy Energy 🌍 Available in 12 languages

Calculator

Lyman Series Calculator

Hydrogen spectral series — transitions to n = 1 (UV region)

Rydberg Formula

1/λ = RH × (1/1² − 1/n²)

RH = 1.09737 × 10⁷ m⁻¹

E = hc/λ  |  ν = c/λ

h = 6.6261 × 10⁻³⁴ J·s  |  c = 2.9979 × 10⁸ m/s
Quick select:

Lyman α

Ultraviolet (UV)
Transitionn = 2 → n = 1
Wavelength (λ)121.502 nm
Frequency (ν)2.4674 PHz (2.4674e+15 Hz)
Photon energy (eV)10.2043 eV
Photon energy (J)1.6349e-18 J
RegionUltraviolet (UV)
1/λ = 1.09737e+7 × (1 − 1/2²) = 8.2303e+6 m⁻¹  →  λ = 121.502 nm

Lyman Series — Complete Table

nNameλ (nm)Energy (eV)Frequency (PHz)Region
2Lyman α121.50210.20432.4674Ultraviolet (UV)
3Lyman β102.51812.09392.9243Ultraviolet (UV)
4Lyman γ97.20212.75533.0842Ultraviolet (UV)
5Lyman δ94.92413.06153.1582Ultraviolet (UV)
6Lyman ε93.73013.22783.1985Ultraviolet (UV)
7Lyman ζ93.02513.32803.2227Ultraviolet (UV)
Series limit (ionization)91.12713.60573.2898Ultraviolet (UV)

Click any row to select that line.

Note

All Lyman series lines fall in the ultraviolet region (λ < 400 nm). They were discovered by Theodore Lyman in 1906–1914.

About This Calculator

Use our lyman series calculator for quick and accurate calculations. Free online tool.

How to Use

  1. Enter the required values in the input fields
  2. Select the appropriate unit of measurement
  3. Click the "Calculate" button
  4. View your results below the form

Features

  • ✅ Fast and accurate calculations
  • ✅ Multiple unit support
  • ✅ Mobile-friendly interface
  • ✅ Available in 12 languages
  • ✅ Free to use, no registration required

Frequently Asked Questions

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Our calculators use mathematically validated formulas and are regularly tested for accuracy.

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