Spectral & Photon Converter

Convert among spectral and photon quantities (energy, frequency, wavenumber, momentum) under vacuum or standard air conditions.

Inputs

Select Quantity to Enter

Value

Presets

Result Precision

Electromagnetic Spectrum Position

Current: 532.00 nmRegions vary by scientific convention

Converted Quantities

Vacuum Wavelength532 nm

Air Wavelength (Edlén)531.85 nm

Frequency563.52 THz

Angular Frequency3.5407e+15 rad/s

Wavenumber18797 cm⁻¹

Photon Energy (eV)2.3305 eV

Photon Energy (J)3.7339e-19 J

Energy per Mole224.86 kJ/mol

Photon Momentum1.2455e-27 kg·m/s

Wien Peak Temperature vs Equivalent Temperature

Wien Displacement Peak Temperature

5446.9 K

The temperature a blackbody must possess to place its peak spectral exitance (per unit wavelength) exactly at the vacuum wavelength of 532.0 nm. Based on:

\lambda_{\mathrm{max}} T = b

Equivalent Thermal Energy Temperature

27044.7 K

The thermodynamic temperature at which the characteristic thermal energy $k_B T$ is exactly equal to the individual energy of this single photon. Based on:

T = \frac{E_{\mathrm{photon}}}{k_B}

Bandwidth Converter

Convert the spectral bandwidth of a source centered at 532.0 nm. Calculations use exact endpoint derivatives.

Select Input Bandwidth Type

Bandwidth Value

ΔWavelength10 nm

ΔFrequency10593 GHz

ΔEnergy0.043811 eV

ΔWavenumber353.36 cm⁻¹

Core Formulas & Assumptions

Planck-Einstein Relation

E = h \nu = \frac{hc}{\lambda_0}

Relates the discrete energy of a single photon to its frequency or vacuum wavelength.

De Broglie Momentum

p = \frac{h}{\lambda_0}

Defines the momentum of a photon relative to its wavelength.

Wien's Displacement Law

\lambda_{\mathrm{max}} T = b

Calculates the peak wavelength of a blackbody emitter. Note: $b \approx 2.89777 \times 10^{-3} \text{ m}\cdot\text{K}$ .

Modified Edlén Air Model

Computes refractive index of standard air at 15 °C and 101.325 kPa to convert vacuum to air wavelengths. Out-of-bounds inputs produce warnings.