migneron_1965 ============= R\. Migneron and J\. S\. Levinger, Phys\. Rev\. 139, A646 \(1965\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1103/physrev\.139\.a646 `__ **Source kind:** theory **Recorded technique:** Dispersion relation n \- 1 = \(N c/pi\) Int sigma\(w'\) dw'/\(w'^2 \- w^2\) \(Eq\. 2\) with the measured photoabsorption cross section of Lowry et al\. \(threshold to 8\.82 Ry\) and Lukirskii et al\. \(to 20\.6 Ry, with his 10 % correction\), Schiff and Pekeris's discrete oscillator strengths, Stewart and Webb's calculation to 130 Ry and Salpeter and Zaidi's above, including double excitation \(pp\. A646\-A647\)\. **Materials in structured entries:** He **Dataset quantities:** cauchy\_moment, refractivity **Contents:** 12 datasets; 0 formulas. Curation notes -------------- Table I\: n \- 1 'at 1 atm and 0 degrees C calculated from Eq\. \(2\)', with N 'the number of helium atoms per cm^3 at standard conditions' \(Loschmidt's number\: an ideal\-gas density\)\. Wavelengths in A, from photon energies \(vacuum\)\. The authors find their values about 2 % above Cuthbertson and Cuthbertson's measurements in the visible, and 0\.3\-2\.8 % above Chan and Dalgarno's variational values at 60\-250 nm; 'the experimental values of the cross sections have errors of 5% or more, so a 2% discrepancy \.\.\. is to be anticipated' \(p\. A647\)\. Being semi\-empirical and 2\-5 % uncertain, the values are kept as a check, not fitted\. Table II\: sums S\(p\) = Sum f W^p with W the photon energy in Ry \(Eq\. 1\), 'given in units of Ry^p'; the totals are extracted per p with scale 2^\-p to give atomic units \(hartree^p\)\: S\(\-2\) = 0\.348 Ry^\-2 is 1\.392 a\.u\., i\.e\. the static polarizability\. The per\-region contributions are not extracted\. 'The discrepancies are never as large as 5%' \(p\. A648\)\. Also in the text \(p\. A648\)\: Chan and Dalgarno's n \- 1 = 36\.4e\-6 at 2000 A \(their Table II\), against this paper's 37\.4e\-6 there; extracted as a reproduced text point\. **Recorded bibliographic identity status:** VALIDATED\_WITH\_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- migneron\_1965/theory ~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "theory", "material": "He", "file": "He/migneron_1965__theory.csv", "table": "tbl_a097df9cffbb", "quantity": "refractivity", "scale": 1e-06, "abscissa_unit": "angstrom", "wavelength_medium": "vacuum", "state": "1atm_0C", "density": "ideal", "use": "check", "uncertainty": { "relative": 0.05, "level": "not stated" } } Table I, 25 values at 600\-7000 A \(the two printed column pairs merged, sorted by wavelength\)\. migneron\_1965/chan\_dalgarno\_1965 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "chan_dalgarno_1965", "material": "He", "table": "text", "quantity": "refractivity", "scale": 1e-06, "abscissa_unit": "angstrom", "wavelength_medium": "vacuum", "state": "1atm_0C", "density": "ideal", "use": "reproduced", "reproduced_from": [ "Y. M. Chan and A. Dalgarno, Proc. Phys. Soc. (London) 85, 227 (1965)" ] } 1 inline points in the source record. 'At 2000 A they find n\-1 = 36\.4e\-6' \(p\. A648\); from their Table II\. migneron\_1965/sum\_rule\_m2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "sum_rule_m2", "material": "He", "file": "He/migneron_1965__sum_rule_m2.csv", "table": "tbl_f60413766558", "quantity": "cauchy_moment", "unit": "au", "scale": 4, "abscissa": "order", "abscissa_unit": "1", "use": "check" } Table II total S\(\-2\) in Ry^\-2; scale 4 = 2^\(2\) converts to atomic units\. migneron\_1965/essen\_sum\_rule\_m2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "essen_sum_rule_m2", "material": "He", "file": "He/migneron_1965__essen_sum_rule_m2.csv", "table": "tbl_f60413766558", "quantity": "cauchy_moment", "unit": "au", "scale": 4, "abscissa": "order", "abscissa_unit": "1", "use": "reproduced", "reproduced_from": [ "L. Essen, Proc. Phys. Soc. (London) B66, 189 (1953)", "D. R. Johnston, G. J. Oudemans and R. H. Cole, J. Chem. Phys. 33, 1310 (1960)" ] } Table II 'Other calculation', footnote e\: S\(\-2\) from the measured microwave polarizability\. migneron\_1965/sum\_rule\_m1 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "sum_rule_m1", "material": "He", "file": "He/migneron_1965__sum_rule_m1.csv", "table": "tbl_f60413766558", "quantity": "cauchy_moment", "unit": "au", "scale": 2, "abscissa": "order", "abscissa_unit": "1", "use": "check" } Table II total S\(\-1\) in Ry^\-1; scale 2 = 2^\(1\) converts to atomic units\. migneron\_1965/pekeris\_sum\_rule\_m1 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "pekeris_sum_rule_m1", "material": "He", "file": "He/migneron_1965__pekeris_sum_rule_m1.csv", "table": "tbl_f60413766558", "quantity": "cauchy_moment", "unit": "au", "scale": 2, "abscissa": "order", "abscissa_unit": "1", "use": "reproduced", "reproduced_from": [ "C. L. Pekeris, Phys. Rev. 115, 1216 (1959)" ] } Table II 'Other calculation', footnote f\: S\(\-1\) from Pekeris's ground\-state wave function\. migneron\_1965/sum\_rule\_0 ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "sum_rule_0", "material": "He", "file": "He/migneron_1965__sum_rule_0.csv", "table": "tbl_f60413766558", "quantity": "cauchy_moment", "unit": "au", "scale": 1, "abscissa": "order", "abscissa_unit": "1", "use": "check" } Table II total S\(0\) in Ry^0; scale 1 = 2^\(0\) converts to atomic units\. migneron\_1965/pekeris\_sum\_rule\_0 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "pekeris_sum_rule_0", "material": "He", "file": "He/migneron_1965__pekeris_sum_rule_0.csv", "table": "tbl_f60413766558", "quantity": "cauchy_moment", "unit": "au", "scale": 1, "abscissa": "order", "abscissa_unit": "1", "use": "reproduced", "reproduced_from": [ "C. L. Pekeris, Phys. Rev. 115, 1216 (1959)" ] } Table II 'Other calculation', footnote f\: S\(0\) from Pekeris's ground\-state wave function\. migneron\_1965/sum\_rule\_1 ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "sum_rule_1", "material": "He", "file": "He/migneron_1965__sum_rule_1.csv", "table": "tbl_f60413766558", "quantity": "cauchy_moment", "unit": "au", "scale": 0.5, "abscissa": "order", "abscissa_unit": "1", "use": "check" } Table II total S\(1\) in Ry^1; scale 0\.5 = 2^\(\-1\) converts to atomic units\. migneron\_1965/pekeris\_sum\_rule\_1 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "pekeris_sum_rule_1", "material": "He", "file": "He/migneron_1965__pekeris_sum_rule_1.csv", "table": "tbl_f60413766558", "quantity": "cauchy_moment", "unit": "au", "scale": 0.5, "abscissa": "order", "abscissa_unit": "1", "use": "reproduced", "reproduced_from": [ "C. L. Pekeris, Phys. Rev. 115, 1216 (1959)" ] } Table II 'Other calculation', footnote f\: S\(1\) from Pekeris's ground\-state wave function\. migneron\_1965/sum\_rule\_2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "sum_rule_2", "material": "He", "file": "He/migneron_1965__sum_rule_2.csv", "table": "tbl_f60413766558", "quantity": "cauchy_moment", "unit": "au", "scale": 0.25, "abscissa": "order", "abscissa_unit": "1", "use": "check" } Table II total S\(2\) in Ry^2; scale 0\.25 = 2^\(\-2\) converts to atomic units\. migneron\_1965/pekeris\_sum\_rule\_2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "pekeris_sum_rule_2", "material": "He", "file": "He/migneron_1965__pekeris_sum_rule_2.csv", "table": "tbl_f60413766558", "quantity": "cauchy_moment", "unit": "au", "scale": 0.25, "abscissa": "order", "abscissa_unit": "1", "use": "reproduced", "reproduced_from": [ "C. L. Pekeris, Phys. Rev. 115, 1216 (1959)" ] } Table II 'Other calculation', footnote f\: S\(2\) from Pekeris's ground\-state wave function\. Formulas -------- No formulas are recorded. Corrections ----------- No dataset errata are recorded in this source record. Formula corrections, where recorded, appear with their formulas above. Curation notes may also discuss corrections or unresolved interpretation. Consult the :doc:`review register ` for the checks and decisions.