User:Macumba/Sandbox/Mott scattering: Difference between revisions
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is proportional to the degree of spin polarization P according to A = SP, where S is the [[Sherman function]]. |
is proportional to the degree of spin polarization P according to A = SP, where S is the [[Sherman function]]. |
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'''Mott scattering''' is the mathematical description of the scattering of an electron beam from an atomic nucleus-sized positively charged sphere in space. The Mott scattering is the theoretical diffraction pattern produced by such a mathematical model. It is used as the beginning point in calculations in electron scattering diffraction studies. When an experimentally found diffraction pattern deviates from the mathematically derived Mott scattering, it gives clues as to the size and shape of an atomic nucleus <ref> ME Rose 1948 The Charge Distribution in Nuclei and the Scattering of High Energy Electrons ''Physical Review'' '''73''' #4 p279-84) </ref>. The Born approximation of the diffraction of a beam of electrons by atomic nuclei is an extension of Mott scattering |
'''Mott scattering''' is the mathematical description of the scattering of an electron beam from an atomic nucleus-sized positively charged sphere in space. The Mott scattering is the theoretical diffraction pattern produced by such a mathematical model. It is used as the beginning point in calculations in electron scattering diffraction studies. When an experimentally found diffraction pattern deviates from the mathematically derived Mott scattering, it gives clues as to the size and shape of an atomic nucleus <ref> ME Rose 1948 The Charge Distribution in Nuclei and the Scattering of High Energy Electrons ''Physical Review'' '''73''' #4 p279-84) </ref>. The Born approximation of the diffraction of a beam of electrons by atomic nuclei is an extension of Mott scattering <ref>NF Mott and HSW Massey 1965 The Theory of Atomic Collisions, Third Edition (Oxford: Oxford University Press)</ref>. |
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== References == |
== References == |
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* T.J. Gay & F.B. Dunning, Rev. Sci. Instrum. 63, 1635-1651 (1992) |
* T.J. Gay & F.B. Dunning, Rev. Sci. Instrum. 63, 1635-1651 (1992) |
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* Hyperphysics [http://hyperphysics.phy-astr.gsu.edu/hbase/nuclear/elescat.html] |
* Hyperphysics [http://hyperphysics.phy-astr.gsu.edu/hbase/nuclear/elescat.html] |
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<references/> |
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[[Category:Scattering]] |
[[Category:Scattering]] |
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Revision as of 15:52, 11 June 2009
User:Macumba/Sandbox/Mott scattering
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Mott scattering is a phenomenon in particle physics and nuclear physics. It is named after Neville Mott who first described it in 1929[citation needed]. It is similar to elastic Rutherford scattering but additionally shows spin-coupling effects. Mott scattering occurs, when point-like spin-1/2 particles (e.g. Electrons) are scattered by heavy atomic nuclei with total spin zero (e.g. gold nuclei).
It is mostly used to measure the spin polarization of an electron beam[citation needed].
The electrons are often fired at gold foil because of gold's high atomic number (Z), because it is non-reactive (does not form an oxide layer), and because thin gold films are easy to produce. (The film should be thin to reduce multiple scattering.) The presence of a spin-orbit term in the scattering potential introduces a spin dependence in the scattering cross section. Two detectors at exactly the same scattering angle to the left and right of the foil count the number of scattered electrons. The asymmetry, A, given by:
is proportional to the degree of spin polarization P according to A = SP, where S is the Sherman function.
Mott scattering is the mathematical description of the scattering of an electron beam from an atomic nucleus-sized positively charged sphere in space. The Mott scattering is the theoretical diffraction pattern produced by such a mathematical model. It is used as the beginning point in calculations in electron scattering diffraction studies. When an experimentally found diffraction pattern deviates from the mathematically derived Mott scattering, it gives clues as to the size and shape of an atomic nucleus [1]. The Born approximation of the diffraction of a beam of electrons by atomic nuclei is an extension of Mott scattering [2].
References
- J. Stohr & H.C. Siegmann, Magnetism – From Fundamentals to Nanoscale Dynamics (Springer, 2006)
- T.J. Gay & F.B. Dunning, Rev. Sci. Instrum. 63, 1635-1651 (1992)
- Hyperphysics [1]
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