Wednesday, March 14, 2007

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Gamma rays: particles are waves

speculated for centuries, and was argued pro and con, on whether the light was a particle or a wave. The emergence of electromagnetic theory Maxwell seemed to close out the debate in favor of wave theory, but nevertheless re-opened with the discovery of energy quanta.

could say that reopening the debate was not new. What if it was a big novelty was the assumption made by Louis Victor de Broglie (1892-1987), according to which a particle like an electron can also behave like a wave, and suffer the same phenomena, such as interference and diffraction. For this contribution he received the Nobel Prize in 1929.

Based on the most famous equation of Einstein derived the expression for the moment kinetics of a photon, and its relationship with its wavelength. From there, he assumed that this formula was general, so that for a particle with mass m, moving at a speed v, you could associate a wavelength.

According to this result, a particle has a shorter wavelength than the greater its speed or mass. The wave diffraction occurs when waves are in their change objects of comparable size to its wavelength. In the case of an electron, whose mass is around 9.10 -31 kg, at speeds as high as 1% of the speed of light (3.10 6 m / s), the electron has a wavelength of l = 2.45 å. This is the typical size between atoms in a solid, and it was expected that the electrons suffer this phenomenon. Thompson

Davisson and independently confirmed the interference and diffraction of electrons, causing an odd situation, because if JJ Thomson in 1906 received the Nobel to show that the electron was a particle, in 1937 his son GP pson Thom (1892-1975) was received (shared with Davisson) to demonstrate experimentally that the electron is a wave.

If all particles have an associated wavelength, if can behave like a wave. So why not see this behavior in everyday life?. The reason is that the wavelength depends on the mass and velocity of the particle. Either a ball, a few grams (say 200 gr) at a speed of 1 m / s, has a wavelength of l = 3.10 -33 meters (size of an atom: 10 - 10 m. atomic nucleus size 10 -15 m). Wavelength is too small to find an obstacle that the diffract. Thus, in the classical world in which we live, it is impossible to detect wave behavior. Only when we got off at the quantum level of electrons is possible to see these phenomena. Annexes


The Bohr quantization of electron diffraction

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