The Wave-Particle Duality of Matter

The fact that atoms, electrons, nuclei, and other forms of matter have some properties that lead us to describe them as particles and other properties that we associate with waves is referred to as the wave-particle duality of matter. This wave-particle duality is hard to understand but it is a fact—a part of the world in which we live. 

Describe the wave-particle duality of matter and energy and the theories and experiments that led to it (particle wavelength, electron diffraction, photon momentum, uncertainty principle) ( 7.3) (SP 7.3) (EPs 7.27-7.34)... 

The Wave-Particle Duality of Matter—The de Broglie Hypothesis... 

The uncertainty principle, an important relation that is a consequence of quantum mechanics, was discovered by the German physicist Werner Heisenberg (born 1901) in 1927. Heisenberg showed that as a result of the wave-particle duality of matter it is impossible to carry out simultaneously a precise determination of the position of a particle and of its velocity. He also showed that it is impossible to determine exactly the energy of a system at an instant of time. 

In order to more completely understand reciprocal space relative to real space defined by Cartesian coordinates, we need to first recall the deBroglie relationship that describes the wave-particle duality of matter ... 

Neutrons demonstrate convincingly the wave-particle duality of matter and scattering experiments exploit both aspects of their behavior. A typical cold neutron with incident particle velocity vq — 750 m s has a wavelength of 5.3 A (via the de... 

The wave-particle duality of matter is expressed in the De Broglie relationship... 

Actually, the wave-particle duality of matter allows designing new pathway from reactants (enzyme E and substrate S) to products (enzyme and product P) in a Brownian enzymic reaction (Brown, 1902)... 

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