Zeno line: Difference between revisions

From SklogWiki
Jump to navigation Jump to search
m (Added a publication)
m (Added Batchinsky law)
Line 1: Line 1:
{{Stub-general}}
{{Stub-general}}
The '''Zeno line''' is the name given to a line along which the  [[compressibility factor]] is unity <ref>[http://dx.doi.org/10.1002/andp.19063240205 A. Batschinski "Abhandlungen über Zustandsgleichung; Abh. I: Der orthometrische Zustand", Annalen der Physik '''19''' pp. 307-309 (1906)]</ref>:
The '''Zeno line''' is the name given to a line along which the  [[compressibility factor]] is unity <ref>D. Ben-Amotz and D. R. Herschbach, "Correlation of the Zeno (Z=1) line for supercritical fluids with vapor-liquid rectilinear diameters", Israel Journal of Chemistry '''30''' pp. 59-68 (1990)</ref>
:<math>Z:= \frac{pV}{Nk_BT}=1</math>
:<math>Z:= \frac{pV}{Nk_BT}=1</math>
==Batchinsky law==
The Batchinsky law <ref>[http://dx.doi.org/10.1002/andp.19063240205 A. Batschinski "Abhandlungen über Zustandsgleichung; Abh. I: Der orthometrische Zustand", Annalen der Physik '''19''' pp. 307-309 (1906)]</ref> states that:
:<math>\frac{\rho}{\rho_B} + \frac{T}{T_B} = 1</math>
where <math>\rho_B</math> is the value of the density obtained by the extrapolating the coexistence curve into the low temperature region beyond the [[triple point]], and <math>T_B</math> is the [[Boyle temperature]].
==References==
==References==
<references/>
<references/>
'''Related reading'''
'''Related reading'''
*D. Ben-Amotz and D. R. Herschbach, "Correlation of the Zeno (Z=1) line for supercritical fluids with vapor-liquid rectilinear diameters", Israel Journal of Chemistry '''30''' pp. 59-68 (1990)
*[http://dx.doi.org/10.1021/j100184a053 Jiasai Xu and Dudley R. Herschbach "Correlation of Zeno line with acentric factor and other properties of normal fluids", Journal of Physical Chemistry '''96''' pp. 2307-2312 (1992)]
*[http://dx.doi.org/10.1021/j100184a053 Jiasai Xu and Dudley R. Herschbach "Correlation of Zeno line with acentric factor and other properties of normal fluids", Journal of Physical Chemistry '''96''' pp. 2307-2312 (1992)]
*[http://dx.doi.org/10.1021/jp001344e Michael C. Kutney, Matthew T. Reagan, Kenneth A. Smith, Jefferson W. Tester, and Dudley R. Herschbach "The Zeno (Z = 1) Behavior of Equations of State:  An Interpretation across Scales from Macroscopic to Molecular", Journal of Physical Chemistry B '''104'''  pp. 9513-9525 (2000)]
*[http://dx.doi.org/10.1021/jp001344e Michael C. Kutney, Matthew T. Reagan, Kenneth A. Smith, Jefferson W. Tester, and Dudley R. Herschbach "The Zeno (Z = 1) Behavior of Equations of State:  An Interpretation across Scales from Macroscopic to Molecular", Journal of Physical Chemistry B '''104'''  pp. 9513-9525 (2000)]
Line 13: Line 18:
*[http://dx.doi.org/10.1021/jp808817p E. M. Apfelbaum and V. S. Vorob’ev "Correspondence between the Critical and the Zeno-Line Parameters for Classical and Quantum Liquids", Journal of Physical Chemistry B '''113''' pp. 3521-3526 (2009)]
*[http://dx.doi.org/10.1021/jp808817p E. M. Apfelbaum and V. S. Vorob’ev "Correspondence between the Critical and the Zeno-Line Parameters for Classical and Quantum Liquids", Journal of Physical Chemistry B '''113''' pp. 3521-3526 (2009)]
*[http://dx.doi.org/10.1063/1.3151982  E. M. Apfelbaum  and V. S. Vorob'ev "The confirmation of the critical point-Zeno-line similarity set from the numerical modeling data for different interatomic potentials", Journal of Chemical Physics 130, 214111 (2009)]
*[http://dx.doi.org/10.1063/1.3151982  E. M. Apfelbaum  and V. S. Vorob'ev "The confirmation of the critical point-Zeno-line similarity set from the numerical modeling data for different interatomic potentials", Journal of Chemical Physics 130, 214111 (2009)]
*[http://dx.doi.org/10.1021/jp911897k V. L. Kulinskii "Simple Geometrical Interpretation of the Linear Character for the Zeno-Line and the Rectilinear Diameter",  Journal of Physical Chemistry B '''114''' pp. 2852-2855 (2010)]


[[category: equations of state]]
[[category: equations of state]]

Revision as of 14:37, 6 October 2010

This article is a 'stub' page, it has no, or next to no, content. It is here at the moment to help form part of the structure of SklogWiki. If you add sufficient material to this article then please remove the {{Stub-general}} template from this page.

The Zeno line is the name given to a line along which the compressibility factor is unity [1]

Batchinsky law

The Batchinsky law [2] states that:

where is the value of the density obtained by the extrapolating the coexistence curve into the low temperature region beyond the triple point, and is the Boyle temperature.

References

  1. D. Ben-Amotz and D. R. Herschbach, "Correlation of the Zeno (Z=1) line for supercritical fluids with vapor-liquid rectilinear diameters", Israel Journal of Chemistry 30 pp. 59-68 (1990)
  2. A. Batschinski "Abhandlungen über Zustandsgleichung; Abh. I: Der orthometrische Zustand", Annalen der Physik 19 pp. 307-309 (1906)

Related reading