Photon energy

The energy of a photon is usually found with the formula which uses Planck’s contant:

E = h\times f

Where:

• E is the energy of the photon (in joules)
• h is Planck’s constant, which is approximately 6.63 \times 10^{-34} joule-seconds
• f is the frequency of the photon (in hertz)

Remember, this finds the energy of a single photon. If you have a beam of light, you would need to multiply this by the number of photons in the beam to find the total energy.

Finding from wavelength

We know that we can find the frequency using f=\frac v\lambda, from our topic on wave speed. Since the speed of light is constant, c, we can use that to find the energy of a photon from its wavelength:

E=h\times \frac{c}{\lambda}=h\times\frac{3.00 \times 10^8}{\lambda}

Where:

• E is the energy of the photon (in joules)
• h is Planck’s constant, which is approximately 6.63 \times 10^{-34} joule-seconds
• c is the speed of light (approximately 3.00 \times 10^8 meters per second)
• \lambda is the wavelength of the photon (in meters)