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About

Quantum mechanics establishes that light is quantized into photons, where energy is proportional to frequency. This relationship, defined by Planck's constant, is fundamental to fields ranging from semiconductor physics to astronomy. Errors in these conversions can skew spectroscopic data or photovoltaic efficiency models.

This calculator solves for Photon Energy (E), Frequency (ν), or Wavelength (λ) using precise physical constants. It features an integrated Electromagnetic Spectrum mapper, instantly categorizing radiation into bands (e.g., UV, IR, Visible) to determine its ionizing potential and physical interactions.

quantum physics photon wavelength frequency planck constant spectrum

Formulas

Photon Energy:

E = h ν = h cλ

Constants:

h 6.626 × 10-34 J⋅s

c 2.998 × 108 m/s

Electron-Volts Conversion:

1 eV 1.602 × 10-19 J

Reference Data

Spectral BandWavelength RangeFrequency RangePhoton Energy (eV)
Gamma Rays< 10 pm> 30 EHz> 100 keV
X-Rays10 pm - 10 nm30 PHz - 30 EHz100 eV - 100 keV
Ultraviolet (UV)10 nm - 400 nm750 THz - 30 PHz3 eV - 100 eV
Visible Light400 nm - 700 nm430 THz - 750 THz1.7 eV - 3 eV
Infrared (IR)700 nm - 1 mm300 GHz - 430 THz1 meV - 1.7 eV
Microwave1 mm - 1 m300 MHz - 300 GHz1 μeV - 1 meV
Radio Waves> 1 m< 300 MHz< 1 μeV

Frequently Asked Questions

At the atomic scale, Joules are inconveniently small. The electron-volt (eV) is the energy gained by an electron moving through a potential of one volt. It is the standard unit for semiconductor bandgaps and chemical bonds.
They are inversely proportional. Short wavelengths (like Blue light or UV) have higher energy photons than long wavelengths (Red light or Radio). This is why UV can damage DNA while Radio waves cannot.
This tool uses the CODATA recommended values: h = 6.62607015 Ɨ 10^-34 Jā‹…s and c = 299,792,458 m/s.