Matter Waves (Wave Particle Duality)
Special relativity said that
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
de Broglie Hypothesis
Davisson and Germer
We know that X-rays having a wavelength ofmake an interference patter on an aluminum foil.
Another way to calculate
- What would be the energy of an electron with the same wavelength as the above X-ray?
relativistic total energy relation
- = 511.3 keV
relativistic kinetic energy
- Note classical physics may be used for electrons below 50 keV
Hit a crystal made of nickel with 54 eV electrons.
1.) 54 eV electrons