# What is the de Broglie equation?

##### 1 Answer

The **de Broglie equation** is an equation used to describe the wave properties of matter or particles. de Broglie suggested that particles can exhibit properties of waves, and proved that every moving particle has a matter wave associated with it.

The wavelength of the wave depends on the mass and the velocity of the particle:

#lambda = h/(mv)# ,where:

#λ# is wavelength in#"m"# .#h = 6.626 xx 10^(-34) "J"cdot"s"# is Planck's constant.#m# is the mass of a particle in#"kg"# moving at a velocity#v# in#"m/s"# .

For an electron, since it has nonrelativistic mass, one can calculate its wavelength.

**EXAMPLE**

Find the wavelength for an electron moving at the speed of

#lambda = (6.626 xx 10^(-34) "J"cdot"s")/((9.109 xx 10^(-31) "kg")(6.0 xx 10^6 "m/s"))#

Since

#lambda = 1.2 xx 10^(-10) "m"#

#=# #"1.2 Å"# .