Kihara potential - Revision history

Carl McBride: /* References */ Added volume and page numbers

2015-05-22T11:11:46Z

References: Added volume and page numbers

← Older revision		Revision as of 13:11, 22 May 2015
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	*[http://dx.doi.org/10.1063/1.473473 L. G. MacDowell, B. Garzón, S. Calero, and S. Lago "Dynamical properties and transport coefficients of Kihara linear fluids", Journal of Chemical Physics '''106''' pp. 4753- (1997)]		*[http://dx.doi.org/10.1063/1.473473 L. G. MacDowell, B. Garzón, S. Calero, and S. Lago "Dynamical properties and transport coefficients of Kihara linear fluids", Journal of Chemical Physics '''106''' pp. 4753- (1997)]
	*[http://dx.doi.org/10.1103/PhysRevE.68.011704 Alejandro Cuetos, Bruno Martínez-Haya, Santiago Lago and Luis F. Rull "Liquid crystal behavior of the Kihara fluid", Physical Review E '''68''' 011704 (2003)]		*[http://dx.doi.org/10.1103/PhysRevE.68.011704 Alejandro Cuetos, Bruno Martínez-Haya, Santiago Lago and Luis F. Rull "Liquid crystal behavior of the Kihara fluid", Physical Review E '''68''' 011704 (2003)]
	*[http://dx.doi.org/10.1080/00268976.2014.996191 Alejandro Cuetos and Bruno Martínez-Haya "Liquid crystal phase diagram of soft repulsive rods and its mapping on the hard repulsive reference fluid", Molecular Physics (''~~Latest articles~~'') (2015)]		*[http://dx.doi.org/10.1080/00268976.2014.996191 Alejandro Cuetos and Bruno Martínez-Haya "Liquid crystal phase diagram of soft repulsive rods and its mapping on the hard repulsive reference fluid", Molecular Physics '''113''' pp. 1137-1144 (2015)]


	[[category: models]]		[[category: models]]

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

2015-02-24T13:14:49Z

References: Added a forthcoming publication

← Older revision		Revision as of 15:14, 24 February 2015
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	*[http://dx.doi.org/10.1021/j100197a055 Carlos Vega, Santiago Lago, Enrique De Miguel, and Luis F. Rull "Liquid-vapor equilibria of linear Kihara molecules", Journal of Physical Chemistry '''96''' pp. 7431-7437 (1992)]		*[http://dx.doi.org/10.1021/j100197a055 Carlos Vega, Santiago Lago, Enrique De Miguel, and Luis F. Rull "Liquid-vapor equilibria of linear Kihara molecules", Journal of Physical Chemistry '''96''' pp. 7431-7437 (1992)]
	*[http://dx.doi.org/10.1063/1.473473 L. G. MacDowell, B. Garzón, S. Calero, and S. Lago "Dynamical properties and transport coefficients of Kihara linear fluids", Journal of Chemical Physics '''106''' pp. 4753- (1997)]		*[http://dx.doi.org/10.1063/1.473473 L. G. MacDowell, B. Garzón, S. Calero, and S. Lago "Dynamical properties and transport coefficients of Kihara linear fluids", Journal of Chemical Physics '''106''' pp. 4753- (1997)]
	*[http://dx.doi.org/10.1103/PhysRevE.68.011704 A. Cuetos, B. Martínez-Haya, S. Lago and L. F. Rull "Liquid crystal behavior of the Kihara fluid", Physical Review E '''68''' 011704 (2003)]		*[http://dx.doi.org/10.1103/PhysRevE.68.011704 Alejandro Cuetos, Bruno Martínez-Haya, Santiago Lago and Luis F. Rull "Liquid crystal behavior of the Kihara fluid", Physical Review E '''68''' 011704 (2003)]
			*[http://dx.doi.org/10.1080/00268976.2014.996191 Alejandro Cuetos and Bruno Martínez-Haya "Liquid crystal phase diagram of soft repulsive rods and its mapping on the hard repulsive reference fluid", Molecular Physics (''Latest articles'') (2015)]


	[[category: models]]		[[category: models]]

Carl McBride: Added a reference

2011-03-02T14:00:48Z

Added a reference

← Older revision		Revision as of 16:00, 2 March 2011
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	where <math>\Phi_{12}</math> is the [[intermolecular pair potential]], and <math>\rho</math> is the [[Source code for the minimum distance between two rods \| shortest distance between molecule cores]].		where <math>\Phi_{12}</math> is the [[intermolecular pair potential]], and <math>\rho</math> is the [[Source code for the minimum distance between two rods \| shortest distance between molecule cores]].
			==Oblate core==
			<ref>[http://dx.doi.org/10.1080/00268970802129826 Francisco Gámez, Santiago Lago, Benito Garzón, Patrick J. Merkling and Carlos Vega "Vapour-liquid equilibrium of fluids composed by oblate molecules", Molecular Physics '''106''' pp. 1331-1339 (2008)]</ref>.
	==References==		==References==
	<references/>		<references/>

Carl McBride: Slight tidy

2010-08-18T14:46:26Z

Slight tidy

← Older revision		Revision as of 16:46, 18 August 2010
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	~~{{Stub-general}}~~
	The '''Kihara potential''', developed by Taro Kihara		The '''Kihara potential''', developed by Taro Kihara
	<ref>[http://dx.doi.org/10.1143/JPSJ.6.289 Taro Kihara "The Second Virial Coefficient of Non-Spherical Molecules", Journal of the Physical Society of Japan '''6''' pp. 289-296 (1951)]</ref>		<ref>[http://dx.doi.org/10.1143/JPSJ.6.289 Taro Kihara "The Second Virial Coefficient of Non-Spherical Molecules", Journal of the Physical Society of Japan '''6''' pp. 289-296 (1951)]</ref>
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	'''Related material'''		'''Related material'''
	*[http://dx.doi.org/10.1103/RevModPhys.25.831 Taro Kihara "Virial Coefficients and Models of Molecules in Gases", Reviews of Modern Physics '''25''' pp. 831-843 (1953)]		*[http://dx.doi.org/10.1103/RevModPhys.25.831 Taro Kihara "Virial Coefficients and Models of Molecules in Gases", Reviews of Modern Physics '''25''' pp. 831-843 (1953)]
	*T. Kihara "Convex molecules in gaseous and crystalline states", Advances in Chemical Physics '''5''' pp. 147-188 (1963)		*[http://dx.doi.org/10.1002/9780470143513.ch3 Taro Kihara "Convex molecules in gaseous and crystalline states", Advances in Chemical Physics '''5''' pp. 147-188 (1963)]
			*[http://dx.doi.org/10.1080/00268978900101331 Carlos Vega and Daan Frenkel "Monte Carlo study of rod-like molecules: A test of perturbation theory for the Kihara model", Molecular Physics '''67''' pp. 633-650 (1989)]
	*[http://dx.doi.org/10.1016/0009-2614(91)80253-T Carlos Vega and Santigo Lago "Improved perturbation theory of Kihara fluids", Chemical Physics Letters '''185''' pp. 516-521 (1991)]		*[http://dx.doi.org/10.1016/0009-2614(91)80253-T Carlos Vega and Santigo Lago "Improved perturbation theory of Kihara fluids", Chemical Physics Letters '''185''' pp. 516-521 (1991)]
	*[http://dx.doi.org/10.1021/j100197a055 Carlos Vega, Santiago Lago, Enrique De Miguel, and Luis F. Rull "Liquid-vapor equilibria of linear Kihara molecules", Journal of Physical Chemistry '''96''' pp. 7431-7437 (1992)]		*[http://dx.doi.org/10.1021/j100197a055 Carlos Vega, Santiago Lago, Enrique De Miguel, and Luis F. Rull "Liquid-vapor equilibria of linear Kihara molecules", Journal of Physical Chemistry '''96''' pp. 7431-7437 (1992)]

Carl McBride: Slight re-wording.

2009-11-19T10:55:56Z

Slight re-wording.

← Older revision		Revision as of 12:55, 19 November 2009
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	{{Stub-general}}		{{Stub-general}}
	The '''Kihara potential''' ~~was~~ developed by Taro Kihara		The '''Kihara potential''', developed by Taro Kihara
	<ref>[http://dx.doi.org/10.1143/JPSJ.6.289 Taro Kihara "The Second Virial Coefficient of Non-Spherical Molecules", Journal of the Physical Society of Japan '''6''' pp. 289-296 (1951)]</ref>		<ref>[http://dx.doi.org/10.1143/JPSJ.6.289 Taro Kihara "The Second Virial Coefficient of Non-Spherical Molecules", Journal of the Physical Society of Japan '''6''' pp. 289-296 (1951)]</ref>
	in 1951 ~~and was inspired by~~ the [[Lennard-Jones model]]. It is given by		in 1951, is a non-spherical generalisation of the [[Lennard-Jones model]]. It is given by


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	where <math>\Phi_{12}</math> is the [[intermolecular pair potential]], and <math>\rho</math> is the ~~intermolecular~~ distance.		where <math>\Phi_{12}</math> is the [[intermolecular pair potential]], and <math>\rho</math> is the [[Source code for the minimum distance between two rods \| shortest distance between molecule cores]].
	==References==		==References==
	<references/>		<references/>

Nice and Tidy: Slight tidy.

2009-06-10T17:36:45Z

Slight tidy.

← Older revision		Revision as of 19:36, 10 June 2009
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	{{Stub-general}}		{{Stub-general}}
	The '''Kihara potential''' was developed by Taro Kihara in 1951 ~~(Ref. 1)~~ and was inspired by the [[Lennard-Jones model]]. It is given by		The '''Kihara potential''' was developed by Taro Kihara
			<ref>[http://dx.doi.org/10.1143/JPSJ.6.289 Taro Kihara "The Second Virial Coefficient of Non-Spherical Molecules", Journal of the Physical Society of Japan '''6''' pp. 289-296 (1951)]</ref>
			in 1951 and was inspired by the [[Lennard-Jones model]]. It is given by


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	where <math>\Phi_{12}</math> is the [[intermolecular pair potential]], and <math>\rho</math> is the intermolecular distance.		where <math>\Phi_{12}</math> is the [[intermolecular pair potential]], and <math>\rho</math> is the intermolecular distance.
	==References==		==References==
	~~#[http:~~/~~/dx.doi.org/10.1143/JPSJ.6.289 Taro Kihara "The Second Virial Coefficient of Non-Spherical Molecules", Journal of the Physical Society of Japan~~ '''6''' ~~pp. 289-296 (1951)]~~		<references/>
	#[http://dx.doi.org/10.1103/RevModPhys.25.831 Taro Kihara "Virial Coefficients and Models of Molecules in Gases", Reviews of Modern Physics '''25''' pp. 831-843 (1953)]		'''Related material'''
	#T. Kihara "Convex molecules in gaseous and crystalline states", Advances in Chemical Physics '''5''' pp. 147-188 (1963)		*[http://dx.doi.org/10.1103/RevModPhys.25.831 Taro Kihara "Virial Coefficients and Models of Molecules in Gases", Reviews of Modern Physics '''25''' pp. 831-843 (1953)]
	#[http://dx.doi.org/10.1016/0009-2614(91)80253-T Carlos Vega and Santigo Lago "Improved perturbation theory of Kihara fluids", Chemical Physics Letters '''185''' pp. 516-521 (1991)]		*T. Kihara "Convex molecules in gaseous and crystalline states", Advances in Chemical Physics '''5''' pp. 147-188 (1963)
	#[http://dx.doi.org/10.1021/j100197a055 Carlos Vega, Santiago Lago, Enrique De Miguel, and Luis F. Rull "Liquid-vapor equilibria of linear Kihara molecules", Journal of Physical Chemistry '''96''' pp. 7431-7437 (1992)]		*[http://dx.doi.org/10.1016/0009-2614(91)80253-T Carlos Vega and Santigo Lago "Improved perturbation theory of Kihara fluids", Chemical Physics Letters '''185''' pp. 516-521 (1991)]
	#[http://dx.doi.org/10.1063/1.473473 L. G. MacDowell, B. Garzón, S. Calero, and S. Lago "Dynamical properties and transport coefficients of Kihara linear fluids", Journal of Chemical Physics '''106''' pp. 4753- (1997)]		*[http://dx.doi.org/10.1021/j100197a055 Carlos Vega, Santiago Lago, Enrique De Miguel, and Luis F. Rull "Liquid-vapor equilibria of linear Kihara molecules", Journal of Physical Chemistry '''96''' pp. 7431-7437 (1992)]
	#[http://dx.doi.org/10.1103/PhysRevE.68.011704 A. Cuetos, B. Martínez-Haya, S. Lago and L. F. Rull "Liquid crystal behavior of the Kihara fluid", Physical Review E '''68''' 011704 (2003)]		*[http://dx.doi.org/10.1063/1.473473 L. G. MacDowell, B. Garzón, S. Calero, and S. Lago "Dynamical properties and transport coefficients of Kihara linear fluids", Journal of Chemical Physics '''106''' pp. 4753- (1997)]
			*[http://dx.doi.org/10.1103/PhysRevE.68.011704 A. Cuetos, B. Martínez-Haya, S. Lago and L. F. Rull "Liquid crystal behavior of the Kihara fluid", Physical Review E '''68''' 011704 (2003)]
	[[category: models]]		[[category: models]]

Carl McBride: /* References */ Added another reference

2008-09-26T12:56:26Z

References: Added another reference

← Older revision		Revision as of 14:56, 26 September 2008
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	==References==		==References==
	#[http://dx.doi.org/10.1143/JPSJ.6.289 Taro Kihara "The Second Virial Coefficient of Non-Spherical Molecules", Journal of the Physical Society of Japan '''6''' pp. 289-296 (1951)]		#[http://dx.doi.org/10.1143/JPSJ.6.289 Taro Kihara "The Second Virial Coefficient of Non-Spherical Molecules", Journal of the Physical Society of Japan '''6''' pp. 289-296 (1951)]
			#[http://dx.doi.org/10.1103/RevModPhys.25.831 Taro Kihara "Virial Coefficients and Models of Molecules in Gases", Reviews of Modern Physics '''25''' pp. 831-843 (1953)]
	#T. Kihara "Convex molecules in gaseous and crystalline states", Advances in Chemical Physics '''5''' pp. 147-188 (1963)		#T. Kihara "Convex molecules in gaseous and crystalline states", Advances in Chemical Physics '''5''' pp. 147-188 (1963)
	#[http://dx.doi.org/10.1016/0009-2614(91)80253-T Carlos Vega and Santigo Lago "Improved perturbation theory of Kihara fluids", Chemical Physics Letters '''185''' pp. 516-521 (1991)]		#[http://dx.doi.org/10.1016/0009-2614(91)80253-T Carlos Vega and Santigo Lago "Improved perturbation theory of Kihara fluids", Chemical Physics Letters '''185''' pp. 516-521 (1991)]

Carl McBride at 11:27, 8 February 2008

2008-02-08T11:27:08Z

← Older revision		Revision as of 13:27, 8 February 2008
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	:<math>U(\rho)=~~U_0~~ \left[\frac{m}{n-m}\left(\frac{\rho_{0}}{\rho}\right)^n-\frac{n}{n-m}\left(\frac{\rho_{0}}{\rho}\right)^m\right], ~~~ n>m>3.</math>		:<math>\Phi_{12}(\rho)=\Phi_0 \left[\frac{m}{n-m}\left(\frac{\rho_{0}}{\rho}\right)^n-\frac{n}{n-m}\left(\frac{\rho_{0}}{\rho}\right)^m\right], ~~~ n>m>3.</math>


	where ~~''U''~~ is the [[intermolecular pair potential]], and <math>\rho</math> is the intermolecular distance.		where <math>\Phi_{12}</math> is the [[intermolecular pair potential]], and <math>\rho</math> is the intermolecular distance.
	==References==		==References==
	#[http://dx.doi.org/10.1143/JPSJ.6.289 Taro Kihara "The Second Virial Coefficient of Non-Spherical Molecules", Journal of the Physical Society of Japan '''6''' pp. 289-296 (1951)]		#[http://dx.doi.org/10.1143/JPSJ.6.289 Taro Kihara "The Second Virial Coefficient of Non-Spherical Molecules", Journal of the Physical Society of Japan '''6''' pp. 289-296 (1951)]

Carl McBride: New page: {{Stub-general}} The '''Kihara potential''' was developed by Taro Kihara in 1951 (Ref. 1) and was inspired by the Lennard-Jones model. It is given by : $U(\rho)=U_0 \left[\frac{...$

2008-01-22T10:55:21Z

New page: {{Stub-general}} The '''Kihara potential''' was developed by Taro Kihara in 1951 (Ref. 1) and was inspired by the Lennard-Jones model. It is given by :<math>U(\rho)=U_0 \left[\frac{...

New page

{{Stub-general}}
The '''Kihara potential''' was developed by Taro Kihara in 1951 (Ref. 1) and was inspired by the [[Lennard-Jones model]]. It is given by

:<math>U(\rho)=U_0 \left[\frac{m}{n-m}\left(\frac{\rho_{0}}{\rho}\right)^n-\frac{n}{n-m}\left(\frac{\rho_{0}}{\rho}\right)^m\right], ~~~ n>m>3.</math>

where ''U'' is the [[intermolecular pair potential]], and <math>\rho</math> is the intermolecular distance.
==References==
#[http://dx.doi.org/10.1143/JPSJ.6.289 Taro Kihara "The Second Virial Coefficient of Non-Spherical Molecules", Journal of the Physical Society of Japan '''6''' pp. 289-296 (1951)]
#T. Kihara "Convex molecules in gaseous and crystalline states", Advances in Chemical Physics '''5''' pp. 147-188 (1963)
#[http://dx.doi.org/10.1016/0009-2614(91)80253-T Carlos Vega and Santigo Lago "Improved perturbation theory of Kihara fluids", Chemical Physics Letters '''185''' pp. 516-521 (1991)]
#[http://dx.doi.org/10.1021/j100197a055 Carlos Vega, Santiago Lago, Enrique De Miguel, and Luis F. Rull "Liquid-vapor equilibria of linear Kihara molecules", Journal of Physical Chemistry '''96''' pp. 7431-7437 (1992)]
#[http://dx.doi.org/10.1063/1.473473 L. G. MacDowell, B. Garzón, S. Calero, and S. Lago "Dynamical properties and transport coefficients of Kihara linear fluids", Journal of Chemical Physics '''106''' pp. 4753- (1997)]
#[http://dx.doi.org/10.1103/PhysRevE.68.011704 A. Cuetos, B. Martínez-Haya, S. Lago and L. F. Rull "Liquid crystal behavior of the Kihara fluid", Physical Review E '''68''' 011704 (2003)]
[[category: models]]