Low-density ionization behavior

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As part of a continuing study of the physics of matter under extreme conditions, I give some results on matter at extremely low density. In particular I compare a quantum mechanical calculation of the pressure for atomic hydrogen with the corresponding pressure given by Thomas-Fermi theory. (This calculation differs from the ``confined atom`` approximation in a physically significant way.) Since Thomas-Fermi theory in some sense, represents the case of infinite nuclear charge, these cases should represent extremes. Comparison is also made with Saha theory, which considers ionization from a chemical point of view, but is weak on excited-state effects. In ... continued below

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12 p.

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Baker, G.A. Jr. April 1, 1995.

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Description

As part of a continuing study of the physics of matter under extreme conditions, I give some results on matter at extremely low density. In particular I compare a quantum mechanical calculation of the pressure for atomic hydrogen with the corresponding pressure given by Thomas-Fermi theory. (This calculation differs from the ``confined atom`` approximation in a physically significant way.) Since Thomas-Fermi theory in some sense, represents the case of infinite nuclear charge, these cases should represent extremes. Comparison is also made with Saha theory, which considers ionization from a chemical point of view, but is weak on excited-state effects. In this theory, the pressure undergoes rapid variation as electron ionization levels are passed. This effect is in contrast to the smooth behavior of the Thomas-Fermi fixed temperature, complete ionization occurs in the low density limit, I study the case where the temperature goes appropriately to zero with the density. Although considerable modification is required, Saha theory is closer to the actual results for this case than is Thomas-Fermi theory.

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12 p.

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OSTI as DE95009495

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  • Condensed matter theories, Caracas (Venezuela), 12-17 Jun 1995

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  • Other: DE95009495
  • Report No.: LA-UR--95-1082
  • Report No.: CONF-9506170--1
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 39758
  • Archival Resource Key: ark:/67531/metadc676987

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  • April 1, 1995

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  • July 25, 2015, 2:20 a.m.

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  • Feb. 25, 2016, 8:26 p.m.

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Baker, G.A. Jr. Low-density ionization behavior, article, April 1, 1995; New Mexico. (digital.library.unt.edu/ark:/67531/metadc676987/: accessed November 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.