Zeno line - Revision history

Carl McBride: /* Batchinsky law */ Added Boyle temperature for vdW EOS

2010-10-06T15:31:02Z

Batchinsky law: Added Boyle temperature for vdW EOS

← Older revision		Revision as of 17:31, 6 October 2010
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	:<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]], which is <math>a/bR</math>.

	==References==		==References==

Carl McBride: /* Batchinsky law */

2010-10-06T13:42:01Z

Batchinsky law

← Older revision		Revision as of 15:42, 6 October 2010
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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/>

Carl McBride: Added Batchinsky law

2010-10-06T13:37:33Z

Added Batchinsky law

← Older revision		Revision as of 15:37, 6 October 2010
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	{{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)]
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	*[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]]

Carl McBride: Added a publication

2010-10-06T12:59:12Z

Added a publication

← Older revision		Revision as of 14:59, 6 October 2010
Line 9:		Line 9:
	*[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)]
	*[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/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/jp802999z 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)]
	*[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/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/10.1021/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)]

Carl McBride at 12:12, 6 October 2010

2010-10-06T12:12:00Z

← Older revision		Revision as of 14:12, 6 October 2010
Line 1:		Line 1:
	{{Stub-general}}		{{Stub-general}}
	~~Along the so-called~~ '''Zeno line''' 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>[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>:
	:<math>Z= \frac{pV}{Nk_BT}=1</math>		:<math>Z:= \frac{pV}{Nk_BT}=1</math>
	==References==		==References==
	<references/>		<references/>

Carl McBride: Added some more publications

2010-10-06T12:07:54Z

Added some more publications

← Older revision		Revision as of 14:07, 6 October 2010
Line 1:		Line 1:
	{{Stub-general}}		{{Stub-general}}
	Along the so-called '''Zeno line''' the [[compressibility factor]] is unity:		Along the so-called '''Zeno line''' 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>:
	:<math>Z= \frac{pV}{Nk_BT}=1</math>		:<math>Z= \frac{pV}{Nk_BT}=1</math>
	==References==		==References==
	<references/>		<references/>
	'''Related reading'''		'''Related reading'''
	*[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)]
	*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)		*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)]
			*[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)]

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

Carl McBride: Added a couple of papers

2010-10-06T11:09:35Z

Added a couple of papers

← Older revision		Revision as of 13:09, 6 October 2010
Line 3:		Line 3:
	:<math>Z= \frac{pV}{Nk_BT}=1</math>		:<math>Z= \frac{pV}{Nk_BT}=1</math>
	==References==		==References==
	#[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)]		<references/>
	#[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)]		'''Related reading'''
			*[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)]
			*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/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)]
	[[category: equations of state]]		[[category: equations of state]]

Carl McBride at 11:43, 28 February 2008

2008-02-28T11:43:09Z

← Older revision		Revision as of 13:43, 28 February 2008
Line 1:		Line 1:
	{{Stub-general}}		{{Stub-general}}
			Along the so-called '''Zeno line''' the [[compressibility factor]] is unity:
			:<math>Z= \frac{pV}{Nk_BT}=1</math>
	==References==		==References==
	#[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)]		#[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)]
	#[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)]
	[[category: equations of state]]		[[category: equations of state]]

Carl McBride: New page: {{Stub-general}} ==References== #[http://dx.doi.org/10.1002/andp.19063240205 A. Batschinski "Abhandlungen über Zustandsgleichung; Abh. I: Der orthometrische Zustand", Annalen der Physik '...

2008-02-28T11:28:16Z

New page: {{Stub-general}} ==References== #[http://dx.doi.org/10.1002/andp.19063240205 A. Batschinski "Abhandlungen über Zustandsgleichung; Abh. I: Der orthometrische Zustand", Annalen der Physik '...

New page

{{Stub-general}}
==References==
#[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)]
#[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)]
[[category: equations of state]]