DOI: 10.1098/rspa.1950.0144. Polarizability and internuclear distance in the hydrogen molecule and molecule-ion

Polarizability and internuclear distance in the hydrogen molecule and molecule-ion

10.1098/rspa.1950.0144

Crossref journal-article

The Royal Society

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences (175)

Abstract

The polarizability of the hydrogen molecule-ion has been calculated for a range of internuclear distances, using various types of wave-functions. It is concluded that the values obtained for the polarizability are relatively insensitive to the choice of wave-function. Similar calculations have been made for the hydrogen molecule, using an LCAO wave-function. The value obtained for the polarizability at the equilibrium internuclear distance is in fair agreement with experiment and with the results of earlier calculations. The predicted variation of polarizability with internuclear distance agrees approximately with that deduced previously from the refractivities of hydrogen and deuterium, but is greater than that derived from the observed intnesities of Rayleigh and Raman scattering.

Bibliography

Polarizability and internuclear distance in the hydrogen molecule and molecule-ion. (1950). Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 203(1074), 364â374.

Authors 0

None

References 13 Referenced 30

Bell R . P. 1942 Trans.Faraday Soc. 38 422. (10.1039/tf9423800422)
{'key': 'p_2', 'first-page': '141', 'article-title': 'Trans', 'volume': '41', 'author': 'Bell R .', 'year': '1945', 'journal-title': 'Faraday Soc.'} / Faraday Soc. / Trans by Bell R . (1945)
B hagavantam S. 1931 In d ia n J . Phys.5 3 1 9 557.
{'key': 'p_4', 'first-page': '107', 'article-title': 'In d ia n J', 'volume': '7', 'year': '1932', 'journal-title': 'Phys.'} / Phys. / In d ia n J (1932)
Cabannes J . 1928 J . Phys. R adium 4 929.
10.1039/tf9373301479
{'key': 'p_7', 'first-page': '204', 'article-title': 'Proc. Gamb.P hil', 'volume': '34', 'author': 'Coulson C. A.', 'year': '1938', 'journal-title': 'Soc.'} / Soc. / Proc. Gamb.P hil by Coulson C. A. (1938)
{'key': 'p_8', 'first-page': '260', 'article-title': 'Proc. Gamb. P hil', 'volume': '32', 'year': '1936', 'journal-title': 'Soc.'} / Soc. / Proc. Gamb. P hil (1936)
Finkelstein B. N. & H orow itz G. E . 1928 Phys. 48 118. (10.1007/978-3-7091-3274-6_2)
10.1103/PhysRev.34.999
Hass 4> II. R . 1930 Proc.
{'key': 'p_12', 'first-page': '66', 'article-title': 'Proc. Gamb. P hil', 'volume': '27', 'author': 'Hasse H .', 'year': '1931', 'journal-title': 'Soc.'} / Soc. / Proc. Gamb. P hil by Hasse H . (1931)
{'key': 'p_13', 'first-page': '555', 'article-title': 'J', 'volume': '3', 'author': 'Hirschfelder J .', 'year': '1935', 'journal-title': 'Ghem. Phys.'} / Ghem. Phys. / J by Hirschfelder J . (1935)

Dates

Type	When
Created	18 years, 8 months ago (Dec. 15, 2006, 3:03 p.m.)
Deposited	4 years, 6 months ago (Feb. 14, 2021, 2:07 p.m.)
Indexed	1 month ago (July 27, 2025, 3:49 a.m.)
Issued	74 years, 10 months ago (Oct. 10, 1950)
Published	74 years, 10 months ago (Oct. 10, 1950)
Published Online	28 years, 8 months ago (Jan. 1, 1997)
Published Print	74 years, 10 months ago (Oct. 10, 1950)

Funders 0

None

BibTeX

@article{1950, volume={203}, ISSN={2053-9169}, url={http://dx.doi.org/10.1098/rspa.1950.0144}, DOI={10.1098/rspa.1950.0144}, number={1074}, journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences}, publisher={The Royal Society}, year={1950}, month=oct, pages={364–374} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        7,
        27
      ]
    ],
    "date-time": "2025-07-27T07:49:34Z",
    "timestamp": 1753602574621
  },
  "reference-count": 13,
  "publisher": "The Royal Society",
  "issue": "1074",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            1950,
            10,
            10
          ]
        ],
        "date-time": "1950-10-10T00:00:00Z",
        "timestamp": -606787200000
      },
      "content-version": "tdm",
      "delay-in-days": 0,
      "URL": "https://royalsociety.org/journals/ethics-policies/data-sharing-mining/"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        1950,
        10,
        10
      ]
    ]
  },
  "abstract": "<jats:p>The polarizability of the hydrogen molecule-ion has been calculated for a range of internuclear distances, using various types of wave-functions. It is concluded that the values obtained for the polarizability are relatively insensitive to the choice of wave-function. Similar calculations have been made for the hydrogen molecule, using an LCAO wave-function. The value obtained for the polarizability at the equilibrium internuclear distance is in fair agreement with experiment and with the results of earlier calculations. The predicted variation of polarizability with internuclear distance agrees approximately with that deduced previously from the refractivities of hydrogen and deuterium, but is greater than that derived from the observed intnesities of Rayleigh and Raman scattering.</jats:p>",
  "DOI": "10.1098/rspa.1950.0144",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2006,
        12,
        15
      ]
    ],
    "date-time": "2006-12-15T20:03:58Z",
    "timestamp": 1166213038000
  },
  "page": "364-374",
  "source": "Crossref",
  "is-referenced-by-count": 30,
  "title": "Polarizability and internuclear distance in the hydrogen molecule and molecule-ion",
  "prefix": "10.1098",
  "volume": "203",
  "member": "175",
  "published-online": {
    "date-parts": [
      [
        1997,
        1
      ]
    ]
  },
  "reference": [
    {
      "key": "p_1",
      "doi-asserted-by": "crossref",
      "unstructured": "Bell R . P. 1942 Trans.Faraday Soc. 38 422.",
      "DOI": "10.1039/tf9423800422"
    },
    {
      "key": "p_2",
      "first-page": "141",
      "article-title": "Trans",
      "volume": "41",
      "author": "Bell R .",
      "year": "1945",
      "journal-title": "Faraday Soc."
    },
    {
      "key": "p_3",
      "unstructured": "B hagavantam S. 1931 In d ia n J . Phys.5 3 1 9 557."
    },
    {
      "key": "p_4",
      "first-page": "107",
      "article-title": "In d ia n J",
      "volume": "7",
      "year": "1932",
      "journal-title": "Phys."
    },
    {
      "key": "p_5",
      "unstructured": "Cabannes J . 1928 J . Phys. R adium 4 929."
    },
    {
      "key": "p_6",
      "doi-asserted-by": "publisher",
      "DOI": "10.1039/tf9373301479"
    },
    {
      "key": "p_7",
      "first-page": "204",
      "article-title": "Proc. Gamb.P hil",
      "volume": "34",
      "author": "Coulson C. A.",
      "year": "1938",
      "journal-title": "Soc."
    },
    {
      "key": "p_8",
      "first-page": "260",
      "article-title": "Proc. Gamb. P hil",
      "volume": "32",
      "year": "1936",
      "journal-title": "Soc."
    },
    {
      "key": "p_9",
      "doi-asserted-by": "crossref",
      "unstructured": "Finkelstein B. N. & H orow itz G. E . 1928 Phys. 48 118.",
      "DOI": "10.1007/978-3-7091-3274-6_2"
    },
    {
      "key": "p_10",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRev.34.999"
    },
    {
      "key": "p_11",
      "unstructured": "Hass 4> II. R . 1930 Proc."
    },
    {
      "key": "p_12",
      "first-page": "66",
      "article-title": "Proc. Gamb. P hil",
      "volume": "27",
      "author": "Hasse H .",
      "year": "1931",
      "journal-title": "Soc."
    },
    {
      "key": "p_13",
      "first-page": "555",
      "article-title": "J",
      "volume": "3",
      "author": "Hirschfelder J .",
      "year": "1935",
      "journal-title": "Ghem. Phys."
    }
  ],
  "container-title": "Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1950.0144",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1950.0144",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2021,
        2,
        14
      ]
    ],
    "date-time": "2021-02-14T19:07:57Z",
    "timestamp": 1613329677000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://royalsocietypublishing.org/doi/10.1098/rspa.1950.0144"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1950,
        10,
        10
      ]
    ]
  },
  "references-count": 13,
  "journal-issue": {
    "issue": "1074",
    "published-print": {
      "date-parts": [
        [
          1950,
          10,
          10
        ]
      ]
    }
  },
  "alternative-id": [
    "10.1098/rspa.1950.0144"
  ],
  "URL": "http://dx.doi.org/10.1098/rspa.1950.0144",
  "relation": {},
  "ISSN": [
    "0080-4630",
    "2053-9169"
  ],
  "subject": [],
  "container-title-short": "Proc. R. Soc. Lond. A",
  "published": {
    "date-parts": [
      [
        1950,
        10,
        10
      ]
    ]
  }
}