Zeno line: Difference between revisions
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Carl McBride (talk | contribs) m (Added Batchinsky law) |
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:<math>Z:= \frac{pV}{Nk_BT}=1</math> | :<math>Z:= \frac{pV}{Nk_BT}=1</math> | ||
==Batchinsky law== | ==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: | 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> | :<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]]. | 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/> | ||
Revision as of 15:42, 6 October 2010
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The Zeno line is the name given to a line along which the compressibility factor is unity [1]
Batchinsky law
The Batchinsky law [2], derived from the van der Waals equation of state, 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
- ↑ 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)
- ↑ A. Batschinski "Abhandlungen über Zustandsgleichung; Abh. I: Der orthometrische Zustand", Annalen der Physik 19 pp. 307-309 (1906)
Related reading
- 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)
- 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)
- 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)
- E. M. Apfelbaum, V. S. Vorob’ev and G. A. Martynov "Regarding the Theory of the Zeno Line", Journal of Physical Chemistry A 112 pp. 6042-6044 (2008)
- 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)
- 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)
- 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)
- 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)