Photon Energy Calculator

Light comes in tiny indivisible packets called photons, and each one carries a precise amount of energy set entirely by its colour, or more exactly its frequency or wavelength, and this calculator works that energy out for you. Choose whether to enter a wavelength, in nanometres, or a frequency, in hertz, type the value, and it returns the photon energy in both joules and electronvolts, along with the matching frequency or wavelength so you can see the whole picture, updating as you type. The physics is one of the great results of the quantum age: energy equals Planck's constant times the frequency, and because frequency and wavelength are linked through the speed of light, the energy can equally be written as Planck's constant times the speed of light divided by the wavelength. The practical upshot is that shorter wavelengths carry more energy, which is exactly why the spectrum runs from gentle, low-energy radio waves and infrared, up through visible light, to the high-energy ultraviolet, X-rays and gamma rays that can break chemical bonds and damage living tissue. The electronvolt result is especially handy, because the joule values for a single photon are inconveniently tiny, while electronvolts give numbers on a human scale, a few electronvolts for visible light, that line up neatly with atomic energy levels and the band gaps of semiconductors. That makes this tool genuinely useful for physics and chemistry students learning about quantum theory, the photoelectric effect and spectroscopy and checking homework, and for anyone in optics, photonics, solar or lighting work who needs to move between wavelength, frequency and energy. The constants used are Planck's constant and the speed of light in a vacuum. The formulas and a worked example are explained clearly below.

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0 eV
photon energy
In joules0
Frequency0

How it works

The energy is E = h times f, with Planck's constant h = 6.626 times 10 to the minus 34 joule seconds. Frequency and wavelength are linked by f = c over the wavelength, with c the speed of light, 3.0 times 10 to the 8 metres per second, so E also equals h c over the wavelength. Dividing the joule energy by 1.602 times 10 to the minus 19 converts it to electronvolts.

Worked example

For green light of wavelength 500 nm: the frequency is the speed of light over 500 nanometres, about 6.0 times 10 to the 14 hertz. The energy is Planck's constant times that, about 3.98 times 10 to the minus 19 joules, which divided by the electronvolt is about 2.48 eV.

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