Pauli exclusion principle: Difference between revisions
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One of the main points of the Pauli Exclusion Principle is that no two electrons share the same four values. When electrons fill degenerate energy levels, they must satisfy the Pauli Exclusion Principle and [http://chemwiki.ucdavis.edu/Core/Inorganic_Chemistry/Electronic_Structure_of_Atoms_and_Molecules/Electronic_Configurations/Hund's_Rules Hund's Rule] by not sharing the same orbital and by having parallel spins. This also ends up taking the least amount of energy to fulfill because the electrons interact with one another the least possible amount. Electrons "space out" while filling the orbitals because electrons act like tiny magnets and want to repel each other the least amount by spacing further apart. The spins of the electrons are all parallel because they will meet less often, thus lowering the repulsive forces and energy. | One of the main points of the Pauli Exclusion Principle is that no two electrons share the same four values. When electrons fill degenerate energy levels, they must satisfy the Pauli Exclusion Principle and [http://chemwiki.ucdavis.edu/Core/Inorganic_Chemistry/Electronic_Structure_of_Atoms_and_Molecules/Electronic_Configurations/Hund's_Rules Hund's Rule] by not sharing the same orbital and by having parallel spins. This also ends up taking the least amount of energy to fulfill because the electrons interact with one another the least possible amount. Electrons "space out" while filling the orbitals because electrons act like tiny magnets and want to repel each other the least amount by spacing further apart. The spins of the electrons are all parallel because they will meet less often, thus lowering the repulsive forces and energy. | ||
[[File:gyropic1.png|200px|thumb|left|A gyroscope processing in the x,z plane with the y-axis positioned upwards along the vertical support.]] | |||
[[File:magneticquantumlevels.png]] | |||
The Pauli exclusion principle asserts that all particles are either fermions or bosons. Fermions have an odd multiple of half spins. Bosons have an even multiple of half spins, thus result in an integer amount of spin. For example, helium-3 is a fermion with the spin of 1/2 and helium-4 is a boson with the spin of 0. | The Pauli exclusion principle asserts that all particles are either fermions or bosons. Fermions have an odd multiple of half spins. Bosons have an even multiple of half spins, thus result in an integer amount of spin. For example, helium-3 is a fermion with the spin of 1/2 and helium-4 is a boson with the spin of 0. | ||
Revision as of 11:55, 17 April 2016
Claimed by Michael Segal
Edited by Ansley Marks
The Pauli exclusion principle is a quantum mechanical principle that asserts that no two electrons in the same atom can occupy the same quantum states simultaneously.
The Main Idea
For each electron in a molecule, there are four distinct values that describe the state of the electron.
One of the main points of the Pauli Exclusion Principle is that no two electrons share the same four values. When electrons fill degenerate energy levels, they must satisfy the Pauli Exclusion Principle and Hund's Rule by not sharing the same orbital and by having parallel spins. This also ends up taking the least amount of energy to fulfill because the electrons interact with one another the least possible amount. Electrons "space out" while filling the orbitals because electrons act like tiny magnets and want to repel each other the least amount by spacing further apart. The spins of the electrons are all parallel because they will meet less often, thus lowering the repulsive forces and energy.
File:Magneticquantumlevels.png
The Pauli exclusion principle asserts that all particles are either fermions or bosons. Fermions have an odd multiple of half spins. Bosons have an even multiple of half spins, thus result in an integer amount of spin. For example, helium-3 is a fermion with the spin of 1/2 and helium-4 is a boson with the spin of 0.
The spins have an intrinsic effect on the angular momentum values of a particle. Particles with a half-integer spin (fermions) have antisymmetric states, while particles with a integer spin (bosons) have a symmetric, wavelike functions.
(Left: Fermion; Right: Boson)
History
The Pauli exclusion principle is named after Austrian physicist Wolfgang Pauli. Pauli proposed the assertion in 1925 and received a Nobel Prize in 1945 for his discovery. He is considered a founding father of quantum mechanics and discovered many of his theories and principles without a formal existing definition of what we today call "spin".
Pauli's discovery and implementation of a fourth quantum number laid the groundwork and inspiration for quantum mechanics in the next years following its announcement. Much of Heisenberg's and Shrodinger's discoveries on wave mechanics were built off of the Pauli exclusion principle.
Importance
The significance of the Pauli exclusion Principle is that it introduced a fourth quantum number. While spin is not a physical characteristic, it is crucial when determining shapes and wavelike behaviors of atomic particles. The principle dictates that bosons have probability waves which "flip" as they move and interfere with eachother. The interference of these probability waves leads to collective behavior that can result in lasers, superfluids and superconductors. Conversely, fermions do not flip their probability waves and do not interact with each other.
Sources
Hyper Physics: http://hyperphysics.phy-astr.gsu.edu/hbase/pauli.html
Wikipedia: https://en.wikipedia.org/wiki/Quantum_number
Physics of the Universe: http://www.physicsoftheuniverse.com/topics_quantum_spin.html
APS: http://www.aps.org/publications/apsnews/200701/history.cfm