Title: WaveParticle Duality of the Electron
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3Wave-Particle Duality of the Electron
Einstein had shown via the photoelectron effect
that light, which is usually thought of as a
wave, can also have properties of a particle. In
1925 de Broglie proposed that electrons, which
are usually thought of as particles, can also
have the properties of a wave.
E mc2 E h? hc/? mc2 hc/ ? ?
h/mc
or any velocity
Thomson had shown that the electron had mass,
like a particle. In 1927, Davisson and Germer
showed that electrons could be diffracted, like a
wave. No single experiment has shown the electron
behaving as a particle and a wave simultaneously.
4Heisenberg Indeterminancy Principle
Heisenberg determined, based on the dual
wave-particle nature of the electron, that it is
impossible to know both the position and the
energy of an electron with certainty. Knowing
one with certainty increases the uncertainty of
the other. ?x . ?E ? h/2 Since we know the
energy states of the electron with extreme
certainty, we can know the position of the
electrons with only extreme uncertainty. At best
we can determine only the probability of finding
an electron in a region of space.
Electrons DO NOT Orbit the Nucleus!