DOI: 10.1063/1.1749933. The Statistical Mechanics of Condensing Systems. I

The Statistical Mechanics of Condensing Systems. I

10.1063/1.1749933

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

It is shown that for a system composed of N identical molecules with mutual potential energy, the assumption that the total potential energy can be expressed as the sum of that between pairs of molecules allows the derivation of simple, accurate formal equations for the thermodynamic properties of the system. Under certain conditions, generally fulfilled at low temperatures, the equations predict a region where the pressure and Gibb's free energy are independent of volume, the characteristic of condensing systems. The equations permit calculation of the Gibb's free energy of the liquid in equilibrium with the vapor and all the properties of the saturated vapor, but not the volume or volume dependence of the condensed phase.

Bibliography

Mayer, J. E. (1937). The Statistical Mechanics of Condensing Systems. I. The Journal of Chemical Physics, 5(1), 67â73.

Authors 1

Joseph E. Mayer (first)

References 5 Referenced 325

{'key': '2024020811415738300_r1'}
10.1017/S0305004100011191 / Proc. Camb. Phil. Soc. (1927)
{'key': '2024020811415738300_r3', 'first-page': '130', 'volume': '16', 'year': '1917', 'journal-title': 'Proc. London Math. Soc.'} / Proc. London Math. Soc. (1917)
{'key': '2024020811415738300_r4'}
{'key': '2024020811415738300_r5'}

Dates

Type	When
Created	20 years, 7 months ago (Jan. 5, 2005, 5:20 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 6:42 a.m.)
Indexed	3 weeks ago (Aug. 6, 2025, 8:08 a.m.)
Issued	88 years, 7 months ago (Jan. 1, 1937)
Published	88 years, 7 months ago (Jan. 1, 1937)
Published Print	88 years, 7 months ago (Jan. 1, 1937)

Funders 0

None

BibTeX

@article{Mayer_1937, title={The Statistical Mechanics of Condensing Systems. I}, volume={5}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1749933}, DOI={10.1063/1.1749933}, number={1}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Mayer, Joseph E.}, year={1937}, month=jan, pages={67–73} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        6
      ]
    ],
    "date-time": "2025-08-06T12:08:16Z",
    "timestamp": 1754482096272
  },
  "reference-count": 5,
  "publisher": "AIP Publishing",
  "issue": "1",
  "content-domain": {
    "domain": [
      "pubs.aip.org"
    ],
    "crossmark-restriction": true
  },
  "published-print": {
    "date-parts": [
      [
        1937,
        1,
        1
      ]
    ]
  },
  "abstract": "<jats:p>It is shown that for a system composed of N identical molecules with mutual potential energy, the assumption that the total potential energy can be expressed as the sum of that between pairs of molecules allows the derivation of simple, accurate formal equations for the thermodynamic properties of the system. Under certain conditions, generally fulfilled at low temperatures, the equations predict a region where the pressure and Gibb's free energy are independent of volume, the characteristic of condensing systems. The equations permit calculation of the Gibb's free energy of the liquid in equilibrium with the vapor and all the properties of the saturated vapor, but not the volume or volume dependence of the condensed phase.</jats:p>",
  "DOI": "10.1063/1.1749933",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2005,
        1,
        5
      ]
    ],
    "date-time": "2005-01-05T22:20:29Z",
    "timestamp": 1104963629000
  },
  "page": "67-73",
  "update-policy": "http://dx.doi.org/10.1063/aip-crossmark-policy-page",
  "source": "Crossref",
  "is-referenced-by-count": 325,
  "title": "The Statistical Mechanics of Condensing Systems. I",
  "prefix": "10.1063",
  "volume": "5",
  "author": [
    {
      "given": "Joseph E.",
      "family": "Mayer",
      "sequence": "first",
      "affiliation": [
        {
          "name": "Johns Hopkins University, Baltimore, Maryland"
        }
      ]
    }
  ],
  "member": "317",
  "reference": [
    {
      "key": "2024020811415738300_r1"
    },
    {
      "key": "2024020811415738300_r2",
      "doi-asserted-by": "crossref",
      "first-page": "685",
      "DOI": "10.1017/S0305004100011191",
      "volume": "23",
      "year": "1927",
      "journal-title": "Proc. Camb. Phil. Soc."
    },
    {
      "key": "2024020811415738300_r3",
      "first-page": "130",
      "volume": "16",
      "year": "1917",
      "journal-title": "Proc. London Math. Soc."
    },
    {
      "key": "2024020811415738300_r4"
    },
    {
      "key": "2024020811415738300_r5"
    }
  ],
  "container-title": "The Journal of Chemical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/5/1/67/18789450/67_1_online.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "https://pubs.aip.org/aip/jcp/article-pdf/5/1/67/18789450/67_1_online.pdf",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2024,
        2,
        8
      ]
    ],
    "date-time": "2024-02-08T11:42:21Z",
    "timestamp": 1707392541000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://pubs.aip.org/jcp/article/5/1/67/208399/The-Statistical-Mechanics-of-Condensing-Systems-I"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1937,
        1,
        1
      ]
    ]
  },
  "references-count": 5,
  "journal-issue": {
    "issue": "1",
    "published-print": {
      "date-parts": [
        [
          1937,
          1,
          1
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1063/1.1749933",
  "relation": {},
  "ISSN": [
    "0021-9606",
    "1089-7690"
  ],
  "subject": [],
  "published-other": {
    "date-parts": [
      [
        1937,
        1
      ]
    ]
  },
  "published": {
    "date-parts": [
      [
        1937,
        1,
        1
      ]
    ]
  }
}