# Matter Waves (Wave Particle Duality)

Special relativity said that

if m=0

Plank said he could fit the Black Body radiation data assuming that that

where = Plank's constant

Combining the two we have

photons have momentum like a particle (mv)

Do particles reciprocate and behave like photons?

## De Broglie's Hypothesis

If photons can behave like particles by having momentum

Then can a particle behave like a wave by having wavelength

or

de Broglie Hypothesis

## Davisson and Germer

We know that X-rays having a wavelength of make an interference patter on an aluminum foil.

p_{X-ray} = \frac{h}{\lambda} = \frac{6.63 \times 10^{-34} \mbox{ J} \cdot \mbox{s}}{7.1 \times 10^{-11}\mbox{m}}

Hit a crystal made of nickel with 54 eV electrons.

1.) 54 eV electrons

From hyperphysics: