DOI: 10.1098/rspa.1966.0200. Dispersion relations and the elastic scattering of electrons by helium atoms

Dispersion relations and the elastic scattering of electrons by helium atoms

10.1098/rspa.1966.0200

Crossref journal-article

The Royal Society

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

Abstract

The elastic scattering of electrons by helium is analysed in terms of a dispersion relation for the forward scattering intensity. The zero energy scattering length obtained from this relation agrees well with that derived from application of effective range formulae to observed data on total cross sections and to drift velocity and microwave probe data. It also agrees well with results of exchange-adiabatic calculations. At energies below the excitation threshold these calculations give total and differential cross sections which agree well with observed results except at small scattering angles at energies of 10 eV and below. The dispersion relation gives results agreeing with the calculated at zero scattering angle suggesting that the observed distributions are in error. At energies above the excitation threshold the dispersion relation shows that Born’s first approximation is still considerably in error (by a factor of 2) at zero scattering angle at energies of 300 eV. Experimental data between 100 and 300 eV are consistent with extrapolation to the values given by the dispersion relation for the forward scattered intensity.

Bibliography

Dispersion relations and the elastic scattering of electrons by helium atoms. (1966). Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 294(1437), 149â159.

Authors 0

None

References 24 Referenced 24

Bethe H. A. 1943
Gerjuoy E. 1958 Anrils
Handbuch derPhysik 24 pt. 1 339. Phys. 5 58.
10.1103/PhysRev.95.897
10.1002/andp.19253810107
10.1103/PhysRev.41.154
Hylleraas E. A. 1929 Z.Phys. 54 347. (10.1007/BF01375457)
{'key': 'p_8', 'author': 'LaBahn R. W.', 'year': '1964', 'journal-title': 'Phys. Rev. 135 A, 1539.'} / Phys. Rev. 135 A, 1539. by LaBahn R. W. (1964)
10.1103/PhysRev.44.269
Mott N. F. & Massey H. S. W. 1965 The theory of atomic collisions 3rd ed. (a) p. 52; (6) p. 421. Clarendon Press.
10.1103/PhysRev.35.1217
10.1103/PhysRev.130.1020
10.1103/PhysRev.121.798
10.1103/PhysRev.127.2084
10.1103/PhysRev.84.559
10.1002/andp.19293950405
10.1002/andp.19324040502
Shull H. & Lowdin P. O. 1956
{'key': 'p_19', 'first-page': '151', 'article-title': 'Proc. Roy', 'volume': '281', 'author': 'Sloan I. H.', 'year': '1964', 'journal-title': 'Soc. A'} / Soc. A / Proc. Roy by Sloan I. H. (1964)
{'key': 'p_20', 'first-page': '1301', 'volume': '36', 'author': 'Smith P. T.', 'year': '1930', 'journal-title': 'Phys. Rev.'} / Phys. Rev. by Smith P. T. (1930)
10.1103/PhysRev.96.951
10.1080/00018736300101303
10.1103/PhysRev.121.788
10.1088/0370-1328/85/4/312

Dates

Type	When
Created	18 years, 8 months ago (Dec. 15, 2006, 5:03 p.m.)
Deposited	4 years, 6 months ago (Feb. 16, 2021, 11:41 a.m.)
Indexed	1 year, 10 months ago (Oct. 19, 2023, 7:05 p.m.)
Issued	58 years, 11 months ago (Sept. 20, 1966)
Published	58 years, 11 months ago (Sept. 20, 1966)
Published Online	28 years, 8 months ago (Jan. 1, 1997)
Published Print	58 years, 11 months ago (Sept. 20, 1966)

Funders 0

None

BibTeX

@article{1966, volume={294}, ISSN={2053-9169}, url={http://dx.doi.org/10.1098/rspa.1966.0200}, DOI={10.1098/rspa.1966.0200}, number={1437}, journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences}, publisher={The Royal Society}, year={1966}, month=sep, pages={149–159} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2023,
        10,
        19
      ]
    ],
    "date-time": "2023-10-19T23:05:01Z",
    "timestamp": 1697756701757
  },
  "reference-count": 24,
  "publisher": "The Royal Society",
  "issue": "1437",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            1966,
            9,
            20
          ]
        ],
        "date-time": "1966-09-20T00:00:00Z",
        "timestamp": -103593600000
      },
      "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": [
      [
        1966,
        9,
        20
      ]
    ]
  },
  "abstract": "<jats:p>The elastic scattering of electrons by helium is analysed in terms of a dispersion relation for the forward scattering intensity. The zero energy scattering length obtained from this relation agrees well with that derived from application of effective range formulae to observed data on total cross sections and to drift velocity and microwave probe data. It also agrees well with results of exchange-adiabatic calculations. At energies below the excitation threshold these calculations give total and differential cross sections which agree well with observed results except at small scattering angles at energies of 10 eV and below. The dispersion relation gives results agreeing with the calculated at zero scattering angle suggesting that the observed distributions are in error. At energies above the excitation threshold the dispersion relation shows that Born\u2019s first approximation is still considerably in error (by a factor of 2) at zero scattering angle at energies of 300 eV. Experimental data between 100 and 300 eV are consistent with extrapolation to the values given by the dispersion relation for the forward scattered intensity.</jats:p>",
  "DOI": "10.1098/rspa.1966.0200",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2006,
        12,
        15
      ]
    ],
    "date-time": "2006-12-15T22:03:25Z",
    "timestamp": 1166220205000
  },
  "page": "149-159",
  "source": "Crossref",
  "is-referenced-by-count": 24,
  "title": "Dispersion relations and the elastic scattering of electrons by helium atoms",
  "prefix": "10.1098",
  "volume": "294",
  "member": "175",
  "published-online": {
    "date-parts": [
      [
        1997,
        1
      ]
    ]
  },
  "reference": [
    {
      "key": "p_1",
      "unstructured": "Bethe H. A. 1943"
    },
    {
      "key": "p_2",
      "unstructured": "Gerjuoy E. 1958 Anrils"
    },
    {
      "key": "p_3",
      "unstructured": "Handbuch derPhysik 24 pt. 1 339. Phys. 5 58."
    },
    {
      "key": "p_4",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRev.95.897"
    },
    {
      "key": "p_5",
      "doi-asserted-by": "publisher",
      "DOI": "10.1002/andp.19253810107"
    },
    {
      "key": "p_6",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRev.41.154"
    },
    {
      "key": "p_7",
      "doi-asserted-by": "crossref",
      "unstructured": "Hylleraas E. A. 1929 Z.Phys. 54 347.",
      "DOI": "10.1007/BF01375457"
    },
    {
      "key": "p_8",
      "author": "LaBahn R. W.",
      "year": "1964",
      "journal-title": "Phys. Rev. 135 A, 1539."
    },
    {
      "key": "p_9",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRev.44.269"
    },
    {
      "key": "p_10",
      "unstructured": "Mott N. F. & Massey H. S. W. 1965 The theory of atomic collisions 3rd ed. (a) p. 52; (6) p. 421. Clarendon Press."
    },
    {
      "key": "p_11",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRev.35.1217"
    },
    {
      "key": "p_12",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRev.130.1020"
    },
    {
      "key": "p_13",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRev.121.798"
    },
    {
      "key": "p_14",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRev.127.2084"
    },
    {
      "key": "p_15",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRev.84.559"
    },
    {
      "key": "p_16",
      "doi-asserted-by": "publisher",
      "DOI": "10.1002/andp.19293950405"
    },
    {
      "key": "p_17",
      "doi-asserted-by": "publisher",
      "DOI": "10.1002/andp.19324040502"
    },
    {
      "key": "p_18",
      "unstructured": "Shull H. & Lowdin P. O. 1956"
    },
    {
      "key": "p_19",
      "first-page": "151",
      "article-title": "Proc. Roy",
      "volume": "281",
      "author": "Sloan I. H.",
      "year": "1964",
      "journal-title": "Soc. A"
    },
    {
      "key": "p_20",
      "first-page": "1301",
      "volume": "36",
      "author": "Smith P. T.",
      "year": "1930",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "p_21",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRev.96.951"
    },
    {
      "key": "p_22",
      "doi-asserted-by": "publisher",
      "DOI": "10.1080/00018736300101303"
    },
    {
      "key": "p_23",
      "doi-asserted-by": "publisher",
      "DOI": "10.1103/PhysRev.121.788"
    },
    {
      "key": "p_24",
      "doi-asserted-by": "publisher",
      "DOI": "10.1088/0370-1328/85/4/312"
    }
  ],
  "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.1966.0200",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1966.0200",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2021,
        2,
        16
      ]
    ],
    "date-time": "2021-02-16T16:41:05Z",
    "timestamp": 1613493665000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://royalsocietypublishing.org/doi/10.1098/rspa.1966.0200"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1966,
        9,
        20
      ]
    ]
  },
  "references-count": 24,
  "journal-issue": {
    "issue": "1437",
    "published-print": {
      "date-parts": [
        [
          1966,
          9,
          20
        ]
      ]
    }
  },
  "alternative-id": [
    "10.1098/rspa.1966.0200"
  ],
  "URL": "http://dx.doi.org/10.1098/rspa.1966.0200",
  "relation": {},
  "ISSN": [
    "0080-4630",
    "2053-9169"
  ],
  "subject": [],
  "container-title-short": "Proc. R. Soc. Lond. A",
  "published": {
    "date-parts": [
      [
        1966,
        9,
        20
      ]
    ]
  }
}