DOI: 10.1063/1.1700810. Virial Expansion for Mixtures of Rigid Spheres

Virial Expansion for Mixtures of Rigid Spheres

10.1063/1.1700810

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The equation of state for a binary mixture of rigid spheres of arbitrary size ratio is developed up to the fourth virial coefficient. The superposition approximation is employed and thus the fourth virial coefficient is inexact; however, the second and third are evaluated precisely. The important thermodynamic functions are tabulated as well as the changes in these functions upon mixing at constant free volume. The fourth virial coefficient is evaluated exactly for the case where one of the components is a point sphere and the result is compared with the approximate one.

Bibliography

McLellan, A. G., & Alder, B. J. (1956). Virial Expansion for Mixtures of Rigid Spheres. The Journal of Chemical Physics, 24(1), 115â121.

Authors 2

A. G. McLellan (first)
B. J. Alder (additional)

References 8 Referenced 25

10.1063/1.1741954 / J. Chem. Phys. (1955)
{'key': '2024020816292671100_r2', 'first-page': '10', 'volume': 'A188', 'year': '1946', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1946)
{'key': '2024020816292671100_r3'}
10.1063/1.1700653 / J. Chem. Phys. (1952)
{'key': '2024020816292671100_r5', 'first-page': '1421', 'volume': '22', 'year': '1954', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1954)
10.1143/JPSJ.3.265 / J. Phys. Soc. Japan (1948)
{'key': '2024020816292671100_r7', 'first-page': '42', 'volume': '7', 'year': '1951', 'journal-title': 'Phil. Mag. Ser.'} / Phil. Mag. Ser. (1951)
{'key': '2024020816292671100_r8', 'first-page': '509', 'volume': 'A210', 'year': '1951', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1951)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 5, 2005, 7:46 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 12:34 p.m.)
Indexed	4 months, 2 weeks ago (April 10, 2025, 9:09 a.m.)
Issued	69 years, 7 months ago (Jan. 1, 1956)
Published	69 years, 7 months ago (Jan. 1, 1956)
Published Print	69 years, 7 months ago (Jan. 1, 1956)

Funders 0

None

BibTeX

@article{McLellan_1956, title={Virial Expansion for Mixtures of Rigid Spheres}, volume={24}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1700810}, DOI={10.1063/1.1700810}, number={1}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={McLellan, A. G. and Alder, B. J.}, year={1956}, month=jan, pages={115–121} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        4,
        10
      ]
    ],
    "date-time": "2025-04-10T13:09:05Z",
    "timestamp": 1744290545120
  },
  "reference-count": 8,
  "publisher": "AIP Publishing",
  "issue": "1",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1956,
        1,
        1
      ]
    ]
  },
  "abstract": "<jats:p>The equation of state for a binary mixture of rigid spheres of arbitrary size ratio is developed up to the fourth virial coefficient. The superposition approximation is employed and thus the fourth virial coefficient is inexact; however, the second and third are evaluated precisely. The important thermodynamic functions are tabulated as well as the changes in these functions upon mixing at constant free volume. The fourth virial coefficient is evaluated exactly for the case where one of the components is a point sphere and the result is compared with the approximate one.</jats:p>",
  "DOI": "10.1063/1.1700810",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2005,
        1,
        6
      ]
    ],
    "date-time": "2005-01-06T00:46:58Z",
    "timestamp": 1104972418000
  },
  "page": "115-121",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 25,
  "title": "Virial Expansion for Mixtures of Rigid Spheres",
  "prefix": "10.1063",
  "volume": "24",
  "author": [
    {
      "given": "A. G.",
      "family": "McLellan",
      "sequence": "first",
      "affiliation": [
        {
          "name": "Department of Theoretical Chemistry, University of Cambridge, Cambridge, England"
        }
      ]
    },
    {
      "given": "B. J.",
      "family": "Alder",
      "sequence": "additional",
      "affiliation": [
        {
          "name": "Department of Theoretical Chemistry, University of Cambridge, Cambridge, England"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024020816292671100_r1",
      "doi-asserted-by": "crossref",
      "first-page": "263",
      "DOI": "10.1063/1.1741954",
      "volume": "23",
      "year": "1955",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020816292671100_r2",
      "first-page": "10",
      "volume": "A188",
      "year": "1946",
      "journal-title": "Proc. Roy. Soc. (London)"
    },
    {
      "key": "2024020816292671100_r3"
    },
    {
      "key": "2024020816292671100_r4",
      "doi-asserted-by": "crossref",
      "first-page": "929",
      "DOI": "10.1063/1.1700653",
      "volume": "20",
      "year": "1952",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020816292671100_r5",
      "first-page": "1421",
      "volume": "22",
      "year": "1954",
      "journal-title": "J. Chem. Phys."
    },
    {
      "key": "2024020816292671100_r6",
      "doi-asserted-by": "crossref",
      "first-page": "265",
      "DOI": "10.1143/JPSJ.3.265",
      "volume": "3",
      "year": "1948",
      "journal-title": "J. Phys. Soc. Japan"
    },
    {
      "key": "2024020816292671100_r7",
      "first-page": "42",
      "volume": "7",
      "year": "1951",
      "journal-title": "Phil. Mag. Ser."
    },
    {
      "key": "2024020816292671100_r8",
      "first-page": "509",
      "volume": "A210",
      "year": "1951",
      "journal-title": "Proc. Roy. Soc. (London)"
    }
  ],
  "container-title": "The Journal of Chemical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/24/1/115/18808305/115_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/24/1/115/18808305/115_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        8
      ]
    ],
    "date-time": "2024-02-08T17:34:24Z",
    "timestamp": 1707413664000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jcp/article/24/1/115/203929/Virial-Expansion-for-Mixtures-of-Rigid-Spheres"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1956,
        1,
        1
      ]
    ]
  },
  "references-count": 8,
  "journal-issue": {
    "issue": "1",
    "published-print": {
      "date-parts": [
        [
          1956,
          1,
          1
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.1700810",
  "relation": {},
  "ISSN": [
    "0021-9606",
    "1089-7690"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1956,
        1
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1956,
        1,
        1
      ]
    ]
  }
}