### Photon Energy Calculator:

With this photon energy calculator, you can explore the relationship between a photon’s wavelength and frequency and its energy.

Read the text below to learn how to calculate the energy of a photon and what Planck’s equation is.

- Get simple and manual steps to easily calculate the energy of a photon.
- Find the wavelength of the photon.
- Multiply the speed of light by Planck’s constant.
- To find the energy of the photon, divide the product by the wavelength.

A photon is the smallest discrete quantity or quantum of electromagnetic radiation. Photon energy depends on frequency and wavelength. Photon energy is nothing but the energy carried by the photon. The amount of energy emitted is inversely proportional to the wavelength and directly proportional to the electromagnetic frequency of the photon. Therefore, higher frequency results in higher power.

### Photon Energy Formula:

Photon energy formula E_{(ev)} in electron volts is equal to the planck’s constant h_{(js)} in joule per second and multiply the speed of the light C and divided by the wavelength of photon λ_{(nm)} in nanometer.Hence the photon energy formula can be written as

E_{(ev)} =h_{(js)} * c / λ_{(nm)}

E =h * c / λ = h *f

F = h *E

λ = h * c /E

Where

E= is the energy of a photon

H = is the planck’s constant 6.6261 *10^{-34} js

C = is the speed of the light

F = is the frequency of a photon

Λ = is the wavelength of photon

### Example:1

Calculate the approximate photon energy, frequency if the wavelength of photon is 5nm?

### Answer:

Λ =5nm

Convert the wavelength 5nm to m

Wavelength = 5/ (1e +9)

Wavelength =0.000000005

E= h*c *6.242 *10^{18} / Λ

E =6.6261 *10^{-34} *299792458 *6.242 *10^{18} / 5 / (1e+9)

Energy of photon E =247.98901 ev

Frequency of photon f =c / Λ

F=2999792458 /5 / (1e+9)

F=5995849Hz

### Example:2

Calculate the approximate photon energy, frequency if the wavelength of photon is 9nm?

### Answer:

Λ = 9 nm

Convert the wavelength 9 nm to m

Wavelength = 9/ (1e +9)

Wavelength =0.000000009

E= h*c *6.242 *10^{18} / Λ

E =6.6261 *10^{-34} *299792458 *6.242 *10^{18} / 9 / (1e+9)

Energy of photon E =137.77167 ev

Frequency of photon f =c / Λ

F=2999792458 /9 / (1e+9)

F=33310273 Hz