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Bertagnolli H. Statistical Mechanical Calculations of Molecular Pair Correlation Functions and Scattering Intensities. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/bbpc.19780820704] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Bertagnolli H. Statistisch-mechanische Berechnung von Paarverteilungsfunktionen linearer Moleküle in der Percus-Yevick-Näherung. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/bbpc.19770810808] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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Affiliation(s)
- Udai P. Singh
- a Department of Chemistry , Boston College , Chestnut Hill , Massachusetts , 02167 , U.S.A
- b Department of Physics , Raja Harpal Singh Degree College , Singramau , Jaunpur , 222175 , India
| | - Udayan Mohanty
- a Department of Chemistry , Boston College , Chestnut Hill , Massachusetts , 02167 , U.S.A
| | - Suresh K. Sinha
- c Department of Physics , L. S. College, Bihar University , Muzaffarpur , 842001 , India
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Affiliation(s)
- William G. Madden
- a Department of Chemistry , University of Pennsylvania , Philadelphia , Pennsylvania , 19174 , U.S.A
| | - Donald D. Fitts
- a Department of Chemistry , University of Pennsylvania , Philadelphia , Pennsylvania , 19174 , U.S.A
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Quirke N, Perram J, Jacucci G. Perturbation theory for the two-centre Lennard-Jones fluid using a spherically averaged reference potential. Mol Phys 2006. [DOI: 10.1080/00268978000101101] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Flytzani-Stephanopoulos M, Gubbins K, Gray C. Thermodynamics of mixtures of non-spherical molecules. Mol Phys 2006. [DOI: 10.1080/00268977500103191] [Citation(s) in RCA: 72] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Valderrama JO, Sandler SI, Fligner M. The use of a non-spherical reference potential in statistical mechanical perturbation theory. Mol Phys 2006. [DOI: 10.1080/00268978100100811] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Affiliation(s)
- M.E. Costines
- a Laboratoire de Physique Expérimentale Moléculaire , Université Paris VI , 4, place Jussieu, 75230 , Paris Cedex 05 , France
| | - F. Marsault-Herail
- a Laboratoire de Physique Expérimentale Moléculaire , Université Paris VI , 4, place Jussieu, 75230 , Paris Cedex 05 , France
| | - J.P. Marsault
- b Groupe de Physique des Liquides , Université Paris VII , 2, place Jussieu, 75221 , Paris Cedex 05 , France
| | - G. Levi
- b Groupe de Physique des Liquides , Université Paris VII , 2, place Jussieu, 75221 , Paris Cedex 05 , France
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Affiliation(s)
- I. Aviram
- a Physical Chemistry Laboratory , University of Oxford , South Parks Road, Oxford , OX1 3QZ , U.K
- b Nuclear Research Centre, Negev , P.O. Box 9001, Beer-Sheva , Israel
| | - D.J. Tildesley
- a Physical Chemistry Laboratory , University of Oxford , South Parks Road, Oxford , OX1 3QZ , U.K
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Singer K, Taylor A, Singer J. Thermodynamic and structural properties of liquids modelled by ‘2-Lennard-Jones centres’ pair potentials. Mol Phys 2006. [DOI: 10.1080/00268977700101451] [Citation(s) in RCA: 294] [Impact Index Per Article: 16.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- K. Singer
- a Chemistry Department , Royal Holloway College, (University of London) , Egham , Surrey , TW20 0EX
| | - A. Taylor
- a Chemistry Department , Royal Holloway College, (University of London) , Egham , Surrey , TW20 0EX
- b Computer Unit , Exeter University , North Park Road, Exeter , Devon
| | - J.V.L. Singer
- a Chemistry Department , Royal Holloway College, (University of London) , Egham , Surrey , TW20 0EX
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Wojcik M, Gubbins K, Powles J. The thermodynamics of symmetric two centre Lennard-Jones liquids. Mol Phys 2006. [DOI: 10.1080/00268978200100931] [Citation(s) in RCA: 47] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Valderrama J, Sandler S. The use of a non-spherical reference potential in statistical mechanical perturbation theory. Mol Phys 2006. [DOI: 10.1080/00268978300101661] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Computer simulations of polyatomic molecules - I. Monte Carlo studies of hard diatomics. ACTA ACUST UNITED AC 1997. [DOI: 10.1098/rspa.1976.0051] [Citation(s) in RCA: 129] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Abstract
The Monte Carlo method has been used to study a model system of 256 hard diatomic molecules, each consisting of two fused hard spheres of diameter
σ
with centres separated by reduced distance
L = L/σ
of 0.2, 0.4 and 0.6, at densities typical of the liquid state. The orientational structure of dense, hard diatomic fluids has been studied by calculating up to sixteen terms in the expansion of the total pair correlation function,
g
(
r
12
,
ω
1
,
ω
2
), in spherical harmonics. The coefficients
g
u'm
(
r
12) the series have been calculated as ensemble averages in the simulation. At short distances, the system exhibits a high degree of angular correlation, which increases with increasing density and elongation; however, this correlation is relatively short ranged at all densities and elongations, and in no case is there significant angular structure at distances greater than twice the major diameter of the molecule. In the nearest neighbour shell there is a strong preference for 'T-shaped’ pair orientations. At low elongations and densities the spherical harmonic coefficients are in close agreement with those predicted both by the ‘blip function’ theory and the solution of the Percus-Yevick equation for hard diatomics. The harmonic series for the total pair correlation function, is rapidly convergent at distances greater than
L
+
σ
, but slowly convergent at smaller distances. The results are suitable for use as a non-spherical reference system for perturbation calculations.
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Castillo R, Orozco J. Prediction of transport properties of dense molecular fluids using the effective diameter hard sphere theory. Mol Phys 1993. [DOI: 10.1080/00268979300101261] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Sowers GM, Sandler SI. Simulation results and corresponding states correlation for pure rigid molecular fluids. Mol Phys 1992. [DOI: 10.1080/00268979200102491] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Lupkowski M, Monson PA. Cluster perturbation theory for interaction site fluids. J Chem Phys 1987. [DOI: 10.1063/1.452957] [Citation(s) in RCA: 32] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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The evaluation of Fourier-Bessel transforms in statistical mechanics. Chem Phys Lett 1986. [DOI: 10.1016/0009-2614(86)85182-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Nezbeda I, Smith WR, Labik S. Perturbation theory for the Lennard‐Jones diatomic fluid. I. Site‐centered spherical harmonic coefficients. J Chem Phys 1983. [DOI: 10.1063/1.445729] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Craig DP, Elsum IR. Chiral discrimination in the liquid state a hard-core model for the role of repulsive forces. Chem Phys 1982. [DOI: 10.1016/0301-0104(82)85174-4] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Valderrama JO, Sandler SI. Padé approximants, the second virial coefficient and perturbation theory. Chem Phys Lett 1981. [DOI: 10.1016/0009-2614(81)85382-1] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Kohler F, Quirke N, Perram JW. Perturbation theory with a hard dumbbell reference system. I. Application to liquid nitrogen. J Chem Phys 1979. [DOI: 10.1063/1.438184] [Citation(s) in RCA: 101] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Martina E, Stell G, Deutch JM. Perturbation theory for the free energy of hard quadrupolar diatomics. J Chem Phys 1979. [DOI: 10.1063/1.437403] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Shukla KP, Singh S, Singh Y. Equilibrium properties of simple molecular fluids. J Chem Phys 1979. [DOI: 10.1063/1.437795] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Streett WB, Tildesley DJ. Computer simulations of polyatomic molecules. III. Monte Carlo studies of heteronuclear and homonuclear hard diatomics. J Chem Phys 1978. [DOI: 10.1063/1.435850] [Citation(s) in RCA: 63] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Martina E, Deutch JM, Streett WB. Approximate evaluation of the dielectric constant for hard nonspherical molecules from Monte Carlo simulations. J Chem Phys 1977. [DOI: 10.1063/1.435228] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Goldman S. On the use of the Weeks–Chandler–Andersen theory for interpreting the solubilities of gases in liquids. J Chem Phys 1977. [DOI: 10.1063/1.434880] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Larsen B, Rasaiah J, Stell G. Thermodynamic perturbation theory for multipolar and ionic liquids. Mol Phys 1977. [DOI: 10.1080/00268977700100901] [Citation(s) in RCA: 141] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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MacRury TB, Steele WA. Statistical mechanics of nonspherical molecules. VIII. Hard‐core models. J Chem Phys 1977. [DOI: 10.1063/1.434287] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kohler F, Wilhelm E, Posch H. Recent advances in the physical chemistry of the liquid state. ACTA ACUST UNITED AC 1976. [DOI: 10.1016/0001-8716(76)80039-9] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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A perturbation expansion for the pair distribution function of fluids with non-central forces. Chem Phys Lett 1976. [DOI: 10.1016/0009-2614(76)85086-5] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Gray C, Gubbins K. Calculation of the dielectric and Kerr constant angular correlation parameters. Mol Phys 1975. [DOI: 10.1080/00268977500103001] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Perturbation theory and the radial distribution function of fluids with nonspherical potentials. Chem Phys Lett 1975. [DOI: 10.1016/0009-2614(75)87013-8] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Mo KC, Gubbins KE. A new perturbation expansion for fluids of nonspherical molecules. J Chem Phys 1975. [DOI: 10.1063/1.431513] [Citation(s) in RCA: 43] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Rasaiah JC, Larsen B, Stell G. Thermodynamic perturbation theory for potentials of multipolar symmetry. I. J Chem Phys 1975. [DOI: 10.1063/1.431350] [Citation(s) in RCA: 31] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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