Lecture Note - Quantum Theory of Matter

Lecture Note - Quantum Theory of Matter - Wave-Particle...

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Wave-Particle Duality of Matter Wave-like Behavior of Matter In 1925, Louis DeBroglie hypothesized that if light, which everyone thought for so long was a wave, is a particle, then perhaps particles like the electron, proton, and neutron might have wave- like behaviors. He went further and reasoned that since waves are described by their wavelength λ and particles are described by their momentum, p then we can relate these two variables by recalling that the Quantum Theory says E = h ν = hc/λ, and the theory of Relativity says E = m c 2 = p c. Then let's equate these two equations to get the DeBroglie relationship between momentum (a particle property) and wavelength (a wave property) p = h/λ The first real experimental proof of this relationship came from Davisson and Germer in 1925, who found that electrons will diffract and interfere like waves, just like X-ray photons (light). For example, an electron with a velocity of 5.97 X 10 6 m/s (mass of an electron =9.11 X 10 -28 g) has a wavelength of:
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So, matter and light are composed of particles that have wave-like properties. The wave-like
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Lecture Note - Quantum Theory of Matter - Wave-Particle...

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