Bohr Model & Hydrogen Spectra

Initial level:
Final level:

In emission the electron falls from a higher to a lower level and releases a photon. In absorption it climbs from a lower to a higher level by absorbing a photon. The photon energy equals the difference between the two energy levels.

Bohr Model — Electron Orbits

Energy Level Diagram

Resulting Spectrum

Log scale spanning ultraviolet → visible → infrared (~90–2000 nm), covering every transition. The visible band (400–700 nm) is shown in true color; UV is shaded purple, IR shaded red. Dark ticks = absorption; light ticks = emission.

Calculation

Select levels and animate a transition.

Reference Constants

Planck's constant (h)6.63 Ɨ 10⁻³⁓ JĀ·s
Speed of light (c)3.00 Ɨ 10⁸ m/s
1 eV1.60 Ɨ 10⁻¹⁹ J
Ephotonhf = hc / Ī»

Hydrogen energy levels (Regents reference table values): En = āˆ’13.6 / n² eV.