Editing Zeno line

{{Stub-general}}
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>
==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>, derived from the [[van der Waals equation of state]], 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]], which is <math>a/bR</math>.

==References==
<references/>
'''Related reading'''
*[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/jp057327c E. M. Apfelbaum, V. S. Vorob'ev, and G. A. Martynov "Triangle of Liquid−Gas States",  Journal of Physical Chemistry B '''110''' pp. 8474-8480 (2006)]
*[http://dx.doi.org/10.1021/jp8066487 E. M. Apfelbaum and V. S. Vorob′ev "A New Similarity Found from the Correspondence of the Critical and Zeno-Line Parameters", Journal of Physical Chemistry B '''112''' pp. 13064–13069 (2008)]
*[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/10.1021/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]]