Modern Physics

Photon Energy (Planck)

E=hf=hcλE = hf = \frac{hc}{\lambda}

Energy of a photon is proportional to its frequency. Foundation of quantum theory.

Variables

E
Photon energy
J
h
Planck constant
Allowed values: greater than 0
J·s
f
Frequency
Allowed values: greater than 0
Hz
c
Speed of light
Allowed values: greater than 0
m/s
λ
Wavelength
Allowed values: greater than 0
m

Derivation

Introduced by Planck to explain blackbody radiation.

Your notes

0/5000

Constants in this formula

h
6.626 070 15 × 10⁻³⁴. Exact by definition.
J·s
c
299,792,458. Exact by definition.
m/s

Check value

Round inputs run through this page's calculator, with each constant at its tabulated value. Use it to test your own working or a rearranged form. It is a test case, not a real-world example.

  • h = 6.626 070 15 × 10⁻³⁴ J·s (Planck constant)
  • f = 2 Hz (Frequency)

Result: E = 1.325214 × 10⁻³³ J

Other modern physics formulas with the same quantities

Where this formula is listed

Common questions

What is the Photon Energy (Planck) formula?

Photon Energy (Planck) is written E = hf = hc/λ. Energy of a photon is proportional to its frequency. Foundation of quantum theory. It belongs to Modern Physics, under Quantum Mechanics.

What are the units in E = hf = hc/λ?

In SI units, E is photon energy, measured in J; h is planck constant, measured in J·s; f is frequency, measured in Hz; c is speed of light, measured in m/s; λ is wavelength, measured in m.

How is the Photon Energy (Planck) formula derived?

Introduced by Planck to explain blackbody radiation. The result is E = hf = hc/λ.