Enter the energy, wavelength, or frequency of a photon (in vacuum) into the calculator to determine the other values. This calculator can also convert wavelength to energy.
| Calculator Operations | Required Inputs |
|---|---|
| Convert Energy to Frequency | Energy |
| Convert Energy to Wavelength | Energy |
| Convert Frequency to Energy | Frequency |
| Convert Frequency to Wavelength | Frequency |
| Convert Wavelength to Frequency | Wavelength |
| Convert Wavelength to Energy | Wavelength |
Energy to Wavelength Formula
The following equation can be used to convert energy into a wavelength for photons (in vacuum).
\lambda = \frac{h c}{E}- Where λ is the wavelength (meters if E is in joules)
- h is the Planck constant (6.62607015×10^-34 J·s)
- c is the speed of light in vacuum (299,792,458 m/s)
- E is the photon energy (joules)
To calculate wavelength from energy, divide the product of the Planck constant and speed of light by the energy. If you use electronvolts and nanometers, a common form is λ (nm) = 1239.841984 / E (eV).
| Energy (eV) | Wavelength (nm) |
|---|---|
| 0.5 | 2479.684 |
| 0.8 | 1549.803 |
| 1 | 1239.842 |
| 1.24 | 999.871 |
| 1.55 | 799.897 |
| 1.6 | 774.901 |
| 1.8 | 688.801 |
| 2 | 619.921 |
| 2.2 | 563.564 |
| 2.33 | 532.121 |
| 2.5 | 495.937 |
| 2.7 | 459.201 |
| 3 | 413.281 |
| 3.1 | 399.948 |
| 3.5 | 354.241 |
| 4 | 309.960 |
| 4.66 | 265.986 |
| 5 | 247.968 |
| 6.2 | 199.975 |
| 10 | 123.984 |
| *Photon in vacuum. Uses E = h·c/λ with h = 6.62607015×10^-34 J·s, c = 299,792,458 m/s; hc ≈ 1239.841984 eV·nm. λ (nm) = 1239.841984 / E (eV). | |
Energy To Wavelength Definition
Energy to wavelength is defined as the conversion of the total energy contained within a photon into the wavelength.
Energy to Wavelength Example
How to calculate energy to wavelength?
- First, determine the speed of light.
This will be constant at the value of (299,792,458 m/s)
- Next, determine the Planck constant.
This is a constant: h = 6.62607015×10^-34 J·s
- Next, determine the total energy.
Calculate the total energy of the photon (in joules).
- Finally, calculate the wavelength.
Convert the energy to wavelength using λ = (h·c)/E.
FAQ
A wavelength is the spatial period of a wave (the distance between successive points in phase, such as crest to crest).
The Planck constant (h) is a fundamental physical constant (h = 6.62607015×10^-34 J·s) that relates a photon’s energy to its frequency via E = hν.
