DOI: 10.1063/1.476355. Virial expansion of a non-additive hard-sphere mixture

Virial expansion of a non-additive hard-sphere mixture

10.1063/1.476355

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We have computed the fourth virial coefficient of a binary mixture composed of hard spheres with equal contact diameters for like particles but unequal collision diameter for particles belonging to unlike species. The independent irreducible cluster integrals which contribute to the fourth virial coefficient were evaluated numerically using the Monte Carlo method. The coexistence line relative to the fluid–fluid phase transition, calculated through the truncated virial expansion for small positive values of the non-additivity parameter, is found to be in good agreement with the Gibbs ensemble Monte Carlo results.

Bibliography

Saija, F., Fiumara, G., & Giaquinta, P. V. (1998). Virial expansion of a non-additive hard-sphere mixture. The Journal of Chemical Physics, 108(21), 9098â9101.

Authors 3

F. Saija (first)
G. Fiumara (additional)
P. V. Giaquinta (additional)

References 33 Referenced 30

10.1135/cccc19862301 / Collect. Czech. Chem. Commun. (1986)
{'key': '2024021109292209100_r2', 'first-page': '3469', 'volume': '1', 'year': '1989', 'journal-title': 'J. Phys.: Condens. Matter'} / J. Phys.: Condens. Matter (1989)
{'key': '2024021109292209100_r3', 'first-page': '8463', 'volume': '2', 'year': '1990', 'journal-title': 'J. Phys.: Condens. Matter'} / J. Phys.: Condens. Matter (1990)
10.1016/S0378-4371(96)00335-4 / Physica A (1997)
10.1016/0378-4371(87)90179-8 / Physica A (1987)
10.1021/j100176a004 / J. Phys. Chem. (1991)
10.1063/1.472084 / J. Chem. Phys. (1996)
10.1063/1.1673203 / J. Chem. Phys. (1970)
10.1103/RevModPhys.27.412 / Rev. Mod. Phys. (1955)
10.1007/BF01012012 / J. Stat. Phys. (1975)
10.1103/PhysRevA.17.2036 / Phys. Rev. A (1978)
10.1063/1.458938 / J. Chem. Phys. (1990)
10.1063/1.438711 / J. Chem. Phys. (1979)
10.1007/BF01013938 / J. Stat. Phys. (1980)
10.1080/00268978400101161 / Mol. Phys. (1984)
10.1063/1.461724 / J. Chem. Phys. (1991)
10.1063/1.471229 / J. Chem. Phys. (1996)
10.1063/1.466712 / J. Chem. Phys. (1994)
10.1063/1.468921 / J. Chem. Phys. (1995)
10.1063/1.472804 / J. Chem. Phys. (1996)
10.1039/ft9969204943 / J. Chem. Soc., Faraday Trans. (1996)
10.1063/1.431577 / J. Chem. Phys. (1975)
10.1080/00268977500100781 / Mol. Phys. (1975)
10.1080/00268978900101411 / Mol. Phys. (1989)
{'key': '2024021109292209100_r25', 'first-page': '2076', 'volume': '67', 'year': '1990', 'journal-title': 'Phys. Rev. A'} / Phys. Rev. A (1990)
10.1016/0378-4371(90)90108-5 / Physica A (1990)
{'key': '2024021109292209100_r27', 'first-page': 'A163', 'volume': '6', 'year': '1994', 'journal-title': 'J. Phys.: Condens. Matter'} / J. Phys.: Condens. Matter (1994)
10.1080/00268979600100671 / Mol. Phys. (1996)
{'key': '2024021109292209100_r28a', 'first-page': '1089', 'volume': '92', 'year': '1997', 'journal-title': 'Mol. Phys.'} / Mol. Phys. (1997)
10.1039/tf9635902469 / Trans. Faraday Soc. (1963)
10.1016/0378-4371(77)90051-6 / Physica A (1977)
10.1088/0305-4470/26/19/014 / J. Phys. A (1993)
{'key': '2024021109292209100_r32'}

Dates

Type	When
Created	23 years ago (July 26, 2002, 8:16 a.m.)
Deposited	1 year, 6 months ago (Feb. 11, 2024, 4:29 a.m.)
Indexed	1 year, 5 months ago (March 15, 2024, 1:17 p.m.)
Issued	27 years, 2 months ago (June 1, 1998)
Published	27 years, 2 months ago (June 1, 1998)
Published Print	27 years, 2 months ago (June 1, 1998)

Funders 0

None

BibTeX

@article{Saija_1998, title={Virial expansion of a non-additive hard-sphere mixture}, volume={108}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.476355}, DOI={10.1063/1.476355}, number={21}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Saija, F. and Fiumara, G. and Giaquinta, P. V.}, year={1998}, month=jun, pages={9098–9101} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2024,
        3,
        15
      ]
    ],
    "date-time": "2024-03-15T17:17:53Z",
    "timestamp": 1710523073807
  },
  "reference-count": 33,
  "publisher": "AIP Publishing",
  "issue": "21",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1998,
        6,
        1
      ]
    ]
  },
  "abstract": "<jats:p>We have computed the fourth virial coefficient of a binary mixture composed of hard spheres with equal contact diameters for like particles but unequal collision diameter for particles belonging to unlike species. The independent irreducible cluster integrals which contribute to the fourth virial coefficient were evaluated numerically using the Monte Carlo method. The coexistence line relative to the fluid\u2013fluid phase transition, calculated through the truncated virial expansion for small positive values of the non-additivity parameter, is found to be in good agreement with the Gibbs ensemble Monte Carlo results.</jats:p>",
  "DOI": "10.1063/1.476355",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2002,
        7,
        26
      ]
    ],
    "date-time": "2002-07-26T12:16:49Z",
    "timestamp": 1027685809000
  },
  "page": "9098-9101",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 30,
  "title": "Virial expansion of a non-additive hard-sphere mixture",
  "prefix": "10.1063",
  "volume": "108",
  "author": [
    {
      "given": "F.",
      "family": "Saija",
      "sequence": "first",
      "affiliation": [
        {
          "name": "Istituto Tecniche Spettroscopiche, CNR, Contrada Papardo, Salita Sperone 31, 98166\u2009Messina, Italy"
        }
      ]
    },
    {
      "given": "G.",
      "family": "Fiumara",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Istituto Nazionale per la Fisica della Materia, Unit\u00e0 di Ricerca di Messina, C.P. 50, 98166\u2009Messina, Italy"
        }
      ]
    },
    {
      "given": "P. V.",
      "family": "Giaquinta",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Istituto Nazionale per la Fisica della Materia, Unit\u00e0 di Ricerca di Messina, C.P. 50, 98166\u2009Messina, Italy"
        },
        {
          "name": "Universit\u00e0 degli Studi di Messina, Dipartimento di Fisica, Contrada Papardo, C.P. 50, 98166\u2009Messina, Italy"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024021109292209100_r1",
      "doi-asserted-by": "crossref",
      "first-page": "2301",
      "DOI": "10.1135/cccc19862301",
      "volume": "51",
      "year": "1986",
      "journal-title": "Collect. Czech. Chem. Commun."
    },
    {
      "key": "2024021109292209100_r2",
      "first-page": "3469",
      "volume": "1",
      "year": "1989",
      "journal-title": "J. Phys.: Condens. Matter"
    },
    {
      "key": "2024021109292209100_r3",
      "first-page": "8463",
      "volume": "2",
      "year": "1990",
      "journal-title": "J. Phys.: Condens. Matter"
    },
    {
      "key": "2024021109292209100_r4",
      "doi-asserted-by": "crossref",
      "first-page": "142",
      "DOI": "10.1016/S0378-4371(96)00335-4",
      "volume": "235",
      "year": "1997",
      "journal-title": "Physica A"
    },
    {
      "key": "2024021109292209100_r5",
      "doi-asserted-by": "crossref",
      "first-page": "524",
      "DOI": "10.1016/0378-4371(87)90179-8",
      "volume": "141",
      "year": "1987",
      "journal-title": "Physica A"
    },
    {
      "key": "2024021109292209100_r6",
      "doi-asserted-by": "crossref",
      "first-page": "9034",
      "DOI": "10.1021/j100176a004",
      "volume": "95",
      "year": "1991",
      "journal-title": "J. Phys. Chem."
    },
    {
      "key": "2024021109292209100_r7",
      "doi-asserted-by": "crossref",
      "first-page": "2424",
      "DOI": "10.1063/1.472084",
      "volume": "105",
      "year": "1996",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109292209100_r8",
      "doi-asserted-by": "crossref",
      "first-page": "1670",
      "DOI": "10.1063/1.1673203",
      "volume": "52",
      "year": "1970",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109292209100_r9",
      "doi-asserted-by": "crossref",
      "first-page": "412",
      "DOI": "10.1103/RevModPhys.27.412",
      "volume": "27",
      "year": "1955",
      "journal-title": "Rev. Mod. Phys."
    },
    {
      "key": "2024021109292209100_r10",
      "doi-asserted-by": "crossref",
      "first-page": "337",
      "DOI": "10.1007/BF01012012",
      "volume": "13",
      "year": "1975",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "2024021109292209100_r11",
      "doi-asserted-by": "crossref",
      "first-page": "2036",
      "DOI": "10.1103/PhysRevA.17.2036",
      "volume": "17",
      "year": "1978",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021109292209100_r12",
      "doi-asserted-by": "crossref",
      "first-page": "6694",
      "DOI": "10.1063/1.458938",
      "volume": "93",
      "year": "1990",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109292209100_r13",
      "doi-asserted-by": "crossref",
      "first-page": "3053",
      "DOI": "10.1063/1.438711",
      "volume": "71",
      "year": "1979",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109292209100_r14",
      "doi-asserted-by": "crossref",
      "first-page": "709",
      "DOI": "10.1007/BF01013938",
      "volume": "22",
      "year": "1980",
      "journal-title": "J. Stat. Phys."
    },
    {
      "key": "2024021109292209100_r15",
      "doi-asserted-by": "crossref",
      "first-page": "207",
      "DOI": "10.1080/00268978400101161",
      "volume": "52",
      "year": "1984",
      "journal-title": "Mol. Phys."
    },
    {
      "key": "2024021109292209100_r16",
      "doi-asserted-by": "crossref",
      "first-page": "4565",
      "DOI": "10.1063/1.461724",
      "volume": "95",
      "year": "1991",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109292209100_r17",
      "doi-asserted-by": "crossref",
      "first-page": "4180",
      "DOI": "10.1063/1.471229",
      "volume": "104",
      "year": "1996",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109292209100_r18",
      "doi-asserted-by": "crossref",
      "first-page": "9064",
      "DOI": "10.1063/1.466712",
      "volume": "100",
      "year": "1994",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109292209100_r19",
      "doi-asserted-by": "crossref",
      "first-page": "1349",
      "DOI": "10.1063/1.468921",
      "volume": "102",
      "year": "1995",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109292209100_r20",
      "doi-asserted-by": "crossref",
      "first-page": "3222",
      "DOI": "10.1063/1.472804",
      "volume": "105",
      "year": "1996",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109292209100_r21",
      "doi-asserted-by": "crossref",
      "first-page": "4943",
      "DOI": "10.1039/ft9969204943",
      "volume": "92",
      "year": "1996",
      "journal-title": "J. Chem. Soc., Faraday Trans."
    },
    {
      "key": "2024021109292209100_r22",
      "doi-asserted-by": "crossref",
      "first-page": "1900",
      "DOI": "10.1063/1.431577",
      "volume": "63",
      "year": "1975",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024021109292209100_r23",
      "doi-asserted-by": "crossref",
      "first-page": "891",
      "DOI": "10.1080/00268977500100781",
      "volume": "29",
      "year": "1975",
      "journal-title": "Mol. Phys."
    },
    {
      "key": "2024021109292209100_r24",
      "doi-asserted-by": "crossref",
      "first-page": "739",
      "DOI": "10.1080/00268978900101411",
      "volume": "67",
      "year": "1989",
      "journal-title": "Mol. Phys."
    },
    {
      "key": "2024021109292209100_r25",
      "first-page": "2076",
      "volume": "67",
      "year": "1990",
      "journal-title": "Phys. Rev. A"
    },
    {
      "key": "2024021109292209100_r26",
      "doi-asserted-by": "crossref",
      "first-page": "365",
      "DOI": "10.1016/0378-4371(90)90108-5",
      "volume": "169",
      "year": "1990",
      "journal-title": "Physica A"
    },
    {
      "key": "2024021109292209100_r27",
      "first-page": "A163",
      "volume": "6",
      "year": "1994",
      "journal-title": "J. Phys.: Condens. Matter"
    },
    {
      "key": "2024021109292209100_r28",
      "doi-asserted-by": "crossref",
      "first-page": "991",
      "DOI": "10.1080/00268979600100671",
      "volume": "87",
      "year": "1996",
      "journal-title": "Mol. Phys."
    },
    {
      "key": "2024021109292209100_r28a",
      "first-page": "1089",
      "volume": "92",
      "year": "1997",
      "journal-title": "Mol. Phys."
    },
    {
      "key": "2024021109292209100_r29",
      "doi-asserted-by": "crossref",
      "first-page": "2469",
      "DOI": "10.1039/tf9635902469",
      "volume": "59",
      "year": "1963",
      "journal-title": "Trans. Faraday Soc."
    },
    {
      "key": "2024021109292209100_r30",
      "doi-asserted-by": "crossref",
      "first-page": "584",
      "DOI": "10.1016/0378-4371(77)90051-6",
      "volume": "87",
      "year": "1977",
      "journal-title": "Physica A"
    },
    {
      "key": "2024021109292209100_r31",
      "doi-asserted-by": "crossref",
      "first-page": "4805",
      "DOI": "10.1088/0305-4470/26/19/014",
      "volume": "26",
      "year": "1993",
      "journal-title": "J. Phys. A"
    },
    {
      "key": "2024021109292209100_r32"
    }
  ],
  "container-title": "The Journal of Chemical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/108/21/9098/19088577/9098_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/108/21/9098/19088577/9098_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        11
      ]
    ],
    "date-time": "2024-02-11T09:29:41Z",
    "timestamp": 1707643781000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jcp/article/108/21/9098/477857/Virial-expansion-of-a-non-additive-hard-sphere"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1998,
        6,
        1
      ]
    ]
  },
  "references-count": 33,
  "journal-issue": {
    "issue": "21",
    "published-print": {
      "date-parts": [
        [
          1998,
          6,
          1
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.476355",
  "relation": {},
  "ISSN": [
    "0021-9606",
    "1089-7690"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1998,
        6,
        1
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1998,
        6,
        1
      ]
    ]
  }
}