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Pauli Exclusion Principle: Electrons
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Using the principles of the Vortex Theory,$^{ }$the alpha particle, and the theory that the nucleus is constructed out of alpha particles, the explanation of the Pauli Exclusion Principle is easily explained. Because protons and electrons are connected to each other via a fourth dimensional vortex, they spin in opposite directions. Since the alpha particle possesses two protons possessing opposite spins, their electrons ... possess opposite spins. With a nucleus constructed out of alpha particles, all paired electrons in shells and sub-shells will spin in opposite directions. 1.R.Moon, F.Calvo, V.Vasiliev. About of the Conservation of Lepton Number, Bulletin of the APS, \href{http://www.phys.ufl.edu/sesaps05.html} {72nd Annual Meeting} November10-12, 2005.
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The Pauli exclusion principle states that no 2 electrons with the same properties can exist in the same orbit (same orbit means the same place inside the atom). Every electron has the same mass and charge, the only property that can be different is the spin. An electron can have spin up or spin down. Spin can be thought of as a kind of internal angular momentum. So when electrons are filling up the orbits or "shells" of atoms, each orbit can have only 2 electrons in it, one of spin up, and one of spin down. The next electron that enters the atom will have to go in another orbit, or, if all orbits are full, it has to go away.
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The Pauli exclusion principle plays as important a role in the understanding of the electronic structure of molecules as it does in the case of atoms. The end result of the Pauli principle is to limit the amount of electronic charge density that can be placed at any one point in space. For example, the Pauli principle prevents the 1s orbital in an atom from containing more than two electrons. Since the 1s orbital places most of its charge density in regions close to the nucleus, the Pauli principle, by limiting the occupation of the 1s orbital, limits the amount of density close to the nucleus. Any remaining electrons must be placed in orbitals which concentrate their charge density further from the nucleus.
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The Pauli exclusion principle plays a role in a huge number of physical phenomena. One of the most important, and the one for which it was originally formulated, is the electron shell structure of atoms. An electrically neutral atom contains bound electrons equal in number to the protons in the nucleus. Since electrons are fermions, the Pauli exclusion principle forbids them from occupying the same quantum state.
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The Pauli exclusion principle applies not only to electrons in atoms but ... to free electrons that drift through matter and comprise an electric current when a voltage is applied. Protons and neutrons in the nucleus also appear to be organized so that only two particles of the same kind, but with opposite spins, are permitted in each quantum orbit. Other particles called fermions obey the exclusion principle, but still other particles called bosons do not. Explaining the behavior of these particles remains one of the most important challenges in physics today.
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The Pauli exclusion principle applies not only to electrons in atoms but ... to free electrons that drift through matter as an electric current when a voltage is applied. Protons and neutrons in the nucleus are also organized in quantum states, and only two particles of the same kind, but with opposite spins, are permitted in each state. All fermions (particles with half-integral spin) obey the exclusion principle, but bosons, which have integral spin, do not. See Statistical Mechanics.
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