Law of corresponding states - Revision history

Carl McBride: /* References */ Added a recent publication

2017-02-16T13:03:18Z

References: Added a recent publication

← Older revision		Revision as of 15:03, 16 February 2017
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	*[http://dx.doi.org/10.1063/1.4926464 P. Orea, A. Romero-Martínez, E. Basurto, C. A. Varga and G. Odriozola "Corresponding states law for a generalized Lennard-Jones potential", Journal of Chemical Physics '''143''' 024504 (2015)]		*[http://dx.doi.org/10.1063/1.4926464 P. Orea, A. Romero-Martínez, E. Basurto, C. A. Varga and G. Odriozola "Corresponding states law for a generalized Lennard-Jones potential", Journal of Chemical Physics '''143''' 024504 (2015)]
	*[http://dx.doi.org/10.1063/1.4953617 Volker C. Weiss "Corresponding-states behavior of an ionic model fluid with variable dispersion interactions", Journal of Chemical Physics '''144''' 234502 (2016)]		*[http://dx.doi.org/10.1063/1.4953617 Volker C. Weiss "Corresponding-states behavior of an ionic model fluid with variable dispersion interactions", Journal of Chemical Physics '''144''' 234502 (2016)]
			*[http://dx.doi.org/10.1063/1.4975778 Malte Fugel and Volker C. Weiss "A corresponding-states analysis of the liquid-vapor equilibrium properties of common water models", Journal of Chemical Physics '''146''' 064505 (2017)]


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

Carl McBride: /* References */ Added a recent publication

2016-06-22T14:39:48Z

References: Added a recent publication

← Older revision		Revision as of 16:39, 22 June 2016
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	*[http://dx.doi.org/10.1063/1.3496468 L. A. Bulavin and V. L. Kulinskii "Generalized principle of corresponding states and the scale invariant mean-field approach", Journal of Chemical Physics ''''133''' 134101 (2010)]		*[http://dx.doi.org/10.1063/1.3496468 L. A. Bulavin and V. L. Kulinskii "Generalized principle of corresponding states and the scale invariant mean-field approach", Journal of Chemical Physics ''''133''' 134101 (2010)]
	*[http://dx.doi.org/10.1063/1.4926464 P. Orea, A. Romero-Martínez, E. Basurto, C. A. Varga and G. Odriozola "Corresponding states law for a generalized Lennard-Jones potential", Journal of Chemical Physics '''143''' 024504 (2015)]		*[http://dx.doi.org/10.1063/1.4926464 P. Orea, A. Romero-Martínez, E. Basurto, C. A. Varga and G. Odriozola "Corresponding states law for a generalized Lennard-Jones potential", Journal of Chemical Physics '''143''' 024504 (2015)]
			*[http://dx.doi.org/10.1063/1.4953617 Volker C. Weiss "Corresponding-states behavior of an ionic model fluid with variable dispersion interactions", Journal of Chemical Physics '''144''' 234502 (2016)]

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

Carl McBride: /* References */ Added a recent publication

2015-09-21T16:02:12Z

References: Added a recent publication

← Older revision		Revision as of 18:02, 21 September 2015
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	*Hong Wei Xiang "The Corresponding-States Principle and its Practice", Elsevier Science (2005) ISBN 0-444-52062-7		*Hong Wei Xiang "The Corresponding-States Principle and its Practice", Elsevier Science (2005) ISBN 0-444-52062-7
	*[http://dx.doi.org/10.1063/1.3496468 L. A. Bulavin and V. L. Kulinskii "Generalized principle of corresponding states and the scale invariant mean-field approach", Journal of Chemical Physics ''''133''' 134101 (2010)]		*[http://dx.doi.org/10.1063/1.3496468 L. A. Bulavin and V. L. Kulinskii "Generalized principle of corresponding states and the scale invariant mean-field approach", Journal of Chemical Physics ''''133''' 134101 (2010)]
			*[http://dx.doi.org/10.1063/1.4926464 P. Orea, A. Romero-Martínez, E. Basurto, C. A. Varga and G. Odriozola "Corresponding states law for a generalized Lennard-Jones potential", Journal of Chemical Physics '''143''' 024504 (2015)]

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

Carl McBride: fixed typo

2010-10-08T13:11:38Z

fixed typo

← Older revision		Revision as of 15:11, 8 October 2010
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	The '''law of corresponding states''' is an empirical law which encapsulates the finding that the [[equations of state]] for many real gases are remarkably similar when they are expressed in terms of reduced [[temperature]]s (<math>T_r = T/T_c</math>), [[pressure]]s, (<math>p_r = p/p_c</math>) and volumes (<math>V_r = V/V_c</math>), where the subscript <math>c</math> represents the value of the property at the [[Critical points\|critical point]]. This law was first described by [[Johannes Diderik van der Waals]] in his 1873 thesis, and forms the subject of a paper by him in 1913 <ref>[http://www.digitallibrary.nl/proceedings/search/detail.cfm?pubid=1493&view=image&startrow=1 Johannes Diderik van der Waals "The law of corresponding states for different substances", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen '''15 II''' pp. 971-981 (1913)]</ref>		The '''law of corresponding states''' is an empirical law which encapsulates the finding that the [[equations of state]] for many real gases are remarkably similar when they are expressed in terms of reduced [[temperature]]s (<math>T_r = T/T_c</math>), [[pressure]]s, (<math>p_r = p/p_c</math>) and volumes (<math>V_r = V/V_c</math>), where the subscript <math>c</math> represents the value of the property at the [[Critical points\|critical point]]. This law was first described by [[Johannes Diderik van der Waals]] in his 1873 thesis, and forms the subject of a paper by him in 1913 <ref>[http://www.digitallibrary.nl/proceedings/search/detail.cfm?pubid=1493&view=image&startrow=1 Johannes Diderik van der Waals "The law of corresponding states for different substances", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen '''15 II''' pp. 971-981 (1913)]</ref>.
	==Assumptions==		==Assumptions==
	Pitzer <ref>[http://dx.doi.org/10.1063/1.1750496 Kenneth S. Pitzer "Corresponding States for Perfect Liquids", Journal of Chemical Physics '''7''' pp. 583-590 (1939)]</ref> produced a list of assumptions in order for the law of corresponding states to apply. This list was later modified by Guggenheim <ref name="Guggenheim"> [http://dx.doi.org/10.1063/1.1724033 E. A. Guggenheim "The Principle of Corresponding States", Journal of Chemical Physics '''13''' pp. 253-261 (1945)] </ref>. These are:		Pitzer <ref>[http://dx.doi.org/10.1063/1.1750496 Kenneth S. Pitzer "Corresponding States for Perfect Liquids", Journal of Chemical Physics '''7''' pp. 583-590 (1939)]</ref> produced a list of assumptions in order for the law of corresponding states to apply. This list was later modified by Guggenheim <ref name="Guggenheim"> [http://dx.doi.org/10.1063/1.1724033 E. A. Guggenheim "The Principle of Corresponding States", Journal of Chemical Physics '''13''' pp. 253-261 (1945)] </ref>. These are:

Carl McBride: Fixed badly formed Cite.

2010-10-08T13:08:47Z

Fixed badly formed Cite.

← Older revision		Revision as of 15:08, 8 October 2010
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	The '''law of corresponding states''' is an empirical law which encapsulates the finding that the [[equations of state]] for many real gases are remarkably similar when they are expressed in terms of reduced [[temperature]]s (<math>T_r = T/T_c</math>), [[pressure]]s, (<math>p_r = p/p_c</math>) and volumes (<math>V_r = V/V_c</math>), where the subscript <math>c</math> represents the value of the property at the [[Critical points\|critical point]]. This law was first described by [[Johannes Diderik van der Waals]] in his 1873 thesis, and forms the subject of a paper by him in 1913 <ref>[http://www.digitallibrary.nl/proceedings/search/detail.cfm?pubid=1493&view=image&startrow=1 Johannes Diderik van der Waals "The law of corresponding states for different substances", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen '''15 II''' pp. 971-981 (1913)]</ref>		The '''law of corresponding states''' is an empirical law which encapsulates the finding that the [[equations of state]] for many real gases are remarkably similar when they are expressed in terms of reduced [[temperature]]s (<math>T_r = T/T_c</math>), [[pressure]]s, (<math>p_r = p/p_c</math>) and volumes (<math>V_r = V/V_c</math>), where the subscript <math>c</math> represents the value of the property at the [[Critical points\|critical point]]. This law was first described by [[Johannes Diderik van der Waals]] in his 1873 thesis, and forms the subject of a paper by him in 1913 <ref>[http://www.digitallibrary.nl/proceedings/search/detail.cfm?pubid=1493&view=image&startrow=1 Johannes Diderik van der Waals "The law of corresponding states for different substances", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen '''15 II''' pp. 971-981 (1913)]</ref>
	==Assumptions==		==Assumptions==
	Pitzer <ref>[http://dx.doi.org/10.1063/1.1750496 Kenneth S. Pitzer "Corresponding States for Perfect Liquids", Journal of Chemical Physics '''7''' pp. 583-590 (1939)]</ref> produced a list of assumptions in order for the law of corresponding states to apply. This list was later modified by Guggenheim <ref name="Guggenheim"> </ref>. These are:		Pitzer <ref>[http://dx.doi.org/10.1063/1.1750496 Kenneth S. Pitzer "Corresponding States for Perfect Liquids", Journal of Chemical Physics '''7''' pp. 583-590 (1939)]</ref> produced a list of assumptions in order for the law of corresponding states to apply. This list was later modified by Guggenheim <ref name="Guggenheim"> [http://dx.doi.org/10.1063/1.1724033 E. A. Guggenheim "The Principle of Corresponding States", Journal of Chemical Physics '''13''' pp. 253-261 (1945)] </ref>. These are:
	#There is negligible difference between [[Fermi–Dirac statistics]] and [[Bose–Einstein statistics]] for the system (i.e. the system behaves classically).		#There is negligible difference between [[Fermi–Dirac statistics]] and [[Bose–Einstein statistics]] for the system (i.e. the system behaves classically).
	#The effect of quantisation of the translational [[Degree of freedom \|degrees of freedom]] is negligible (i.e. the system behaves classically).		#The effect of quantisation of the translational [[Degree of freedom \|degrees of freedom]] is negligible (i.e. the system behaves classically).
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	#The [[Intermolecular pair potential \| potential energy for a pair of molecules]] can be written as <math>A\Phi (r/r_0)</math> where <math>r</math> is the intermolecular distance, and <math>A</math> and <math>r_0</math> are characteristic constants, and <math>\Phi</math> is a universal function.		#The [[Intermolecular pair potential \| potential energy for a pair of molecules]] can be written as <math>A\Phi (r/r_0)</math> where <math>r</math> is the intermolecular distance, and <math>A</math> and <math>r_0</math> are characteristic constants, and <math>\Phi</math> is a universal function.
	==Examples==		==Examples==
	For [[argon]], [[krypton]], [[nitrogen]], [[oxygen]], [[carbon dioxide]] and [[methane]] one has <ref name="Guggenheim"> ~~[http://dx.doi.org/10.1063/1.1724033 E. A. Guggenheim "The Principle of Corresponding States", Journal of Chemical Physics '''13''' pp. 253-261 (1945)]~~</ref>		For [[argon]], [[krypton]], [[nitrogen]], [[oxygen]], [[carbon dioxide]] and [[methane]] one has <ref name="Guggenheim"> </ref>

	:<math>\frac{p_cV_c}{RT_c}\approx 0.292</math>		:<math>\frac{p_cV_c}{RT_c}\approx 0.292</math>

Carl McBride: Added an internal link + recent publication

2010-10-06T12:17:44Z

Added an internal link + recent publication

← Older revision		Revision as of 14:17, 6 October 2010
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	by Noro and Frenkel		by Noro and Frenkel
	<ref>[http://dx.doi.org/10.1063/1.1288684 Massimo G. Noro and Daan Frenkel "Extended corresponding-states behavior for particles with variable range attractions", Journal of Chemical Physics '''113''' 2941-2944 (2000)]</ref>.		<ref>[http://dx.doi.org/10.1063/1.1288684 Massimo G. Noro and Daan Frenkel "Extended corresponding-states behavior for particles with variable range attractions", Journal of Chemical Physics '''113''' 2941-2944 (2000)]</ref>.
			==See also==
			*[[Zeno line]]
	==References==		==References==
	<references/>		<references/>
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	*[http://dx.doi.org/10.1063/1.3072156 Patrick Grosfils and James F. Lutsko "Dependence of the liquid-vapor surface tension on the range of interaction: A test of the law of corresponding states", Journal of Chemical Physics '''130''' 054703 (2009)]		*[http://dx.doi.org/10.1063/1.3072156 Patrick Grosfils and James F. Lutsko "Dependence of the liquid-vapor surface tension on the range of interaction: A test of the law of corresponding states", Journal of Chemical Physics '''130''' 054703 (2009)]
	*Hong Wei Xiang "The Corresponding-States Principle and its Practice", Elsevier Science (2005) ISBN 0-444-52062-7		*Hong Wei Xiang "The Corresponding-States Principle and its Practice", Elsevier Science (2005) ISBN 0-444-52062-7
			*[http://dx.doi.org/10.1063/1.3496468 L. A. Bulavin and V. L. Kulinskii "Generalized principle of corresponding states and the scale invariant mean-field approach", Journal of Chemical Physics ''''133''' 134101 (2010)]

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

Carl McBride: Reverted edits by 94.76.113.176 (talk) to last revision by Carl McBride

2010-09-27T08:05:45Z

Reverted edits by 94.76.113.176 (talk) to last revision by Carl McBride

← Older revision		Revision as of 10:05, 27 September 2010
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	*[http://dx.doi.org/10.1016/S0031-8914(38)80037-9 J. de Boer and A. Michels "Contribution to the quantum-mechanical theory of the equation of state and the law of corresponding states. Determination of the law of force of helium", Physica '''5''' pp. 945-957 (1938)]		*[http://dx.doi.org/10.1016/S0031-8914(38)80037-9 J. de Boer and A. Michels "Contribution to the quantum-mechanical theory of the equation of state and the law of corresponding states. Determination of the law of force of helium", Physica '''5''' pp. 945-957 (1938)]
	*[http://dx.doi.org/10.1063/1.3072156 Patrick Grosfils and James F. Lutsko "Dependence of the liquid-vapor surface tension on the range of interaction: A test of the law of corresponding states", Journal of Chemical Physics '''130''' 054703 (2009)]		*[http://dx.doi.org/10.1063/1.3072156 Patrick Grosfils and James F. Lutsko "Dependence of the liquid-vapor surface tension on the range of interaction: A test of the law of corresponding states", Journal of Chemical Physics '''130''' 054703 (2009)]
	~~[http://www.texas-liability-insurance.com/ Texas liability insurance]~~
	*Hong Wei Xiang "The Corresponding-States Principle and its Practice", Elsevier Science (2005) ISBN 0-444-52062-7		*Hong Wei Xiang "The Corresponding-States Principle and its Practice", Elsevier Science (2005) ISBN 0-444-52062-7
	[[category: equations of state]]		[[category: equations of state]]

94.76.113.176 at 21:59, 25 September 2010

2010-09-25T21:59:16Z

← Older revision		Revision as of 23:59, 25 September 2010
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	*[http://dx.doi.org/10.1016/S0031-8914(38)80037-9 J. de Boer and A. Michels "Contribution to the quantum-mechanical theory of the equation of state and the law of corresponding states. Determination of the law of force of helium", Physica '''5''' pp. 945-957 (1938)]		*[http://dx.doi.org/10.1016/S0031-8914(38)80037-9 J. de Boer and A. Michels "Contribution to the quantum-mechanical theory of the equation of state and the law of corresponding states. Determination of the law of force of helium", Physica '''5''' pp. 945-957 (1938)]
	*[http://dx.doi.org/10.1063/1.3072156 Patrick Grosfils and James F. Lutsko "Dependence of the liquid-vapor surface tension on the range of interaction: A test of the law of corresponding states", Journal of Chemical Physics '''130''' 054703 (2009)]		*[http://dx.doi.org/10.1063/1.3072156 Patrick Grosfils and James F. Lutsko "Dependence of the liquid-vapor surface tension on the range of interaction: A test of the law of corresponding states", Journal of Chemical Physics '''130''' 054703 (2009)]
			[http://www.texas-liability-insurance.com/ Texas liability insurance]
	*Hong Wei Xiang "The Corresponding-States Principle and its Practice", Elsevier Science (2005) ISBN 0-444-52062-7		*Hong Wei Xiang "The Corresponding-States Principle and its Practice", Elsevier Science (2005) ISBN 0-444-52062-7
	[[category: equations of state]]		[[category: equations of state]]

Carl McBride: Reverted edits by Roberta (talk) to last revision by Carl McBride

2010-08-20T09:40:42Z

Reverted edits by Roberta (talk) to last revision by Carl McBride

← Older revision		Revision as of 11:40, 20 August 2010
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	The '''law of corresponding states''' is an empirical law which encapsulates the finding that the [[equations of state]] for many real gases are remarkably similar when they are expressed in terms of reduced [[temperature]]s (<math>T_r = T/T_c</math>), [[pressure]]s, (<math>p_r = p/p_c</math>) and volumes (<math>V_r = V/V_c</math>), where the subscript <math>c</math> represents the value of the property at the [[Critical points\|critical point]]. This law was first described by [[Johannes Diderik van der Waals]] in his 1873 thesis, and forms the subject of a paper by him in 1913 <ref>[http://www.digitallibrary.nl/proceedings/search/detail.cfm?pubid=1493&view=image&startrow=1 Johannes Diderik van der Waals "The law of corresponding states for different substances", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen '''15 II''' pp. 971-981 (1913)]</ref>		The '''law of corresponding states''' is an empirical law which encapsulates the finding that the [[equations of state]] for many real gases are remarkably similar when they are expressed in terms of reduced [[temperature]]s (<math>T_r = T/T_c</math>), [[pressure]]s, (<math>p_r = p/p_c</math>) and volumes (<math>V_r = V/V_c</math>), where the subscript <math>c</math> represents the value of the property at the [[Critical points\|critical point]]. This law was first described by [[Johannes Diderik van der Waals]] in his 1873 thesis, and forms the subject of a paper by him in 1913 <ref>[http://www.digitallibrary.nl/proceedings/search/detail.cfm?pubid=1493&view=image&startrow=1 Johannes Diderik van der Waals "The law of corresponding states for different substances", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen '''15 II''' pp. 971-981 (1913)]</ref>
	==Assumptions==		==Assumptions==

	~~[http://www.essaymill.com/ essays term papers]~~

	Pitzer <ref>[http://dx.doi.org/10.1063/1.1750496 Kenneth S. Pitzer "Corresponding States for Perfect Liquids", Journal of Chemical Physics '''7''' pp. 583-590 (1939)]</ref> produced a list of assumptions in order for the law of corresponding states to apply. This list was later modified by Guggenheim <ref name="Guggenheim"> </ref>. These are:		Pitzer <ref>[http://dx.doi.org/10.1063/1.1750496 Kenneth S. Pitzer "Corresponding States for Perfect Liquids", Journal of Chemical Physics '''7''' pp. 583-590 (1939)]</ref> produced a list of assumptions in order for the law of corresponding states to apply. This list was later modified by Guggenheim <ref name="Guggenheim"> </ref>. These are:
	#There is negligible difference between [[Fermi–Dirac statistics]] and [[Bose–Einstein statistics]] for the system (i.e. the system behaves classically).		#There is negligible difference between [[Fermi–Dirac statistics]] and [[Bose–Einstein statistics]] for the system (i.e. the system behaves classically).

Roberta at 08:05, 19 August 2010

2010-08-19T08:05:39Z

← Older revision		Revision as of 10:05, 19 August 2010
Line 1:		Line 1:
	The '''law of corresponding states''' is an empirical law which encapsulates the finding that the [[equations of state]] for many real gases are remarkably similar when they are expressed in terms of reduced [[temperature]]s (<math>T_r = T/T_c</math>), [[pressure]]s, (<math>p_r = p/p_c</math>) and volumes (<math>V_r = V/V_c</math>), where the subscript <math>c</math> represents the value of the property at the [[Critical points\|critical point]]. This law was first described by [[Johannes Diderik van der Waals]] in his 1873 thesis, and forms the subject of a paper by him in 1913 <ref>[http://www.digitallibrary.nl/proceedings/search/detail.cfm?pubid=1493&view=image&startrow=1 Johannes Diderik van der Waals "The law of corresponding states for different substances", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen '''15 II''' pp. 971-981 (1913)]</ref>		The '''law of corresponding states''' is an empirical law which encapsulates the finding that the [[equations of state]] for many real gases are remarkably similar when they are expressed in terms of reduced [[temperature]]s (<math>T_r = T/T_c</math>), [[pressure]]s, (<math>p_r = p/p_c</math>) and volumes (<math>V_r = V/V_c</math>), where the subscript <math>c</math> represents the value of the property at the [[Critical points\|critical point]]. This law was first described by [[Johannes Diderik van der Waals]] in his 1873 thesis, and forms the subject of a paper by him in 1913 <ref>[http://www.digitallibrary.nl/proceedings/search/detail.cfm?pubid=1493&view=image&startrow=1 Johannes Diderik van der Waals "The law of corresponding states for different substances", Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen '''15 II''' pp. 971-981 (1913)]</ref>
	==Assumptions==		==Assumptions==

			[http://www.essaymill.com/ essays term papers]

	Pitzer <ref>[http://dx.doi.org/10.1063/1.1750496 Kenneth S. Pitzer "Corresponding States for Perfect Liquids", Journal of Chemical Physics '''7''' pp. 583-590 (1939)]</ref> produced a list of assumptions in order for the law of corresponding states to apply. This list was later modified by Guggenheim <ref name="Guggenheim"> </ref>. These are:		Pitzer <ref>[http://dx.doi.org/10.1063/1.1750496 Kenneth S. Pitzer "Corresponding States for Perfect Liquids", Journal of Chemical Physics '''7''' pp. 583-590 (1939)]</ref> produced a list of assumptions in order for the law of corresponding states to apply. This list was later modified by Guggenheim <ref name="Guggenheim"> </ref>. These are:
	#There is negligible difference between [[Fermi–Dirac statistics]] and [[Bose–Einstein statistics]] for the system (i.e. the system behaves classically).		#There is negligible difference between [[Fermi–Dirac statistics]] and [[Bose–Einstein statistics]] for the system (i.e. the system behaves classically).