lehmeier_1985 ============= H\. J\. Lehmeier, W\. Leupacher and A\. Penzkofer, Opt\. Commun\. 56, 67 \(1985\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1016/0030\-4018\(85\)90069\-0 `__ **Source kind:** compilation **Recorded technique:** Third\-harmonic generation of a mode\-locked Nd\:glass laser \(1\.055 um\) in He, Ne, Ar, Kr, Xe and N2, measuring the third\-order hyperpolarizability; the standard refractive indices at the fundamental and the harmonic needed for the phase mismatch are taken from the literature\. **Materials in structured entries:** Ar, He, Kr, N2, Ne, Xe **Dataset quantities:** hyperpolarizability, hyperpolarizability\_ratio, nonlinear\_susceptibility, refractivity **Contents:** 57 datasets; 0 formulas. Curation notes -------------- The linear refractivities of Table 1 are at standard pressure and temperature \(1 atm, 0 degrees C, Table 1 caption\); they are reproductions \(Dalgarno and Kingston for the rare gases, Landolt\-Boernstein for N2\), not measurements of this paper\. The library's Table 1 header is garbled but its cells are correct \(checked against the image\)\. Delta k\_0 and the coherence length follow from the refractivities and are not extracted\. Wavelengths are taken as vacuum \(lambda\_1 = 2 pi c / omega\_1\)\. Third\-order data \(added 2026\-09\-26\)\: the paper's own THG gamma\(3\)\(\-w3; w1, w1, w1\) at 1\.055 um for He, Ne, Ar, Kr, Xe and N2 \(Table 1, SI and esu columns, the chi ratio to He, chi\_0\(He\) from note c\), and Table 2's comparison at 694\.3 nm \(this work transferred, Ward and New normalised, six theories, and the dc Kerr gamma\(\-w; w, 0, 0\) of Buckingham and Dunmur\)\. These are the values solprop and Luna inherited for He, Ne, Ar, Kr, Xe and N2\. Defining equations, exactly \(the conversions depend on them\)\: \- Eq\. \(1\), p\. 67\: P\_NL = 4 eps0 chi\(3\) \: EEE, 'SI units in the notation of ref\. \[17\]' \(Minck, Terhune and Wang 1966\)\. \- p\. 67\: E\_j = {E\_j0 exp\[i\(k\_j z \- w\_j t\)\] \+ c\.c\.}/2 and P\_NL,j = {P\_NL,j0 exp\[i\(k\_j z \- w\_j t\)\] \+ c\.c\.}/2, so the field amplitude is E0 with E = E0 cos\(\.\.\.\) \(the E/2 convention for the complex amplitude\)\. \- Eq\. \(2\), p\. 67\: P\_NL,30 = eps0 chi\_1111\(3\)\(\-w3; w1, w1, w1\) E\_10^3 exp\(\-i Delta k z\) \(the 4 of Eq\. \(1\) cancels the 1/4 of cos^3 \-\> cos 3wt\)\. \- p\. 68\: I\_j = \(n\_j c eps0 / 2\) \|E\_j0\|^2\. \- Eq\. \(13\), p\. 69\: chi\_1111\(3\)\(\-w3; w1, w1, w1\) = eps0^\-1 N L\(4\) gamma\_1111\(3\)\(\-w3; w1, w1, w1\) = \(N0 p T0 L\(4\) / eps0 p0 T\) gamma\(3\), with the Lorentz local\-field factor L\(4\) = \(n1^2 \+ 2\)^3 \(n3^2 \+ 2\)/81, N0 = p0/k T0 = 2\.6869e19 cm^\-3 at p0 = 1 atm \(printed '1 atm^\-1 1\.0133 x 10^5 Pa', a garbled '1 atm = 1\.0133 x 10^5 Pa'\) and T0 = 273\.15 K\: an ideal\-gas density\. \- Hence per molecule p\(3w\) amplitude = gamma\(3\) E\_10^3 and, on the real field, p = 4 gamma\(3\) E^3\. In Shelton and Rice's Taylor convention \(p = \.\.\. \+ gamma\_T E^3/6, with the same K factors\) gamma\_T = 24 gamma\(3\)\. Example\: He 24 x 1\.13e\-64 / 6\.2354e\-65 = 43\.5 au\. gamma\(3\) is in C m^4/V^3 = C^4 m^4 J^\-3, the SI unit of the atomic unit\. \- Table 2 caption\: gamma\(3\)\[esu\] = 8\.0888e24 gamma\(3\)\[SI\] \(Ref\. 17\)\. Table 2 note b\: Ward and New's values are 'a factor 4 smaller \[here\] than those in refs\. \[1\] and \[3\] because of our definition of gamma\(3\)'\: Lehmeier's gamma\(3\) = Ward's chi / 4 = gamma\_T / 24\. \- Eq\. \(14\)\-\(15\), p\. 69\: n at \(p, T\) from n0 by Lorentz\-Lorenz with ideal\-gas scaling\. \- Eq\. \(16\)\-\(17\), p\. 71\: Miller's rule, the anharmonic coupling xi/f^2 of Table 1 \(not extracted\)\. \- Eq\. \(18\), p\. 72\: gamma\(\-w3a; w1a, w1a, w1a\) = \(omega\_0 \- omega\_3b\)/\(omega\_0 \- omega\_3a\) gamma\(\-w3b; \.\.\.\), the single\-resonance transfer from 1\.055 um to 694\.3 nm used for Table 2 column \(a\)\. Measurement \(pp\. 69\-70\)\: single ~5 ps pulses of a mode\-locked Nd\-phosphate glass laser, lambda\_1 = 1\.055 um, I10\(z\_m\) ~ 2e9 W/cm^2; cells 4\.52 cm \(He, Ne; 0\.9\-2\.5 x 10^5 Pa\) and 1\.18 cm \(others; 0\-0\.9 x 10^5 Pa\) centred 8 cm behind the focus \(b = 0\.44 cm, f = 30\.5 cm\), in a vacuum chamber with Maker\-fringe\-minimum windows; T = 296 K \(Figs\. 2, 3 captions\)\. gamma\(3\) is the best fit of Eq\. \(12\) to eta/I10^2 against pressure, using the refractivities of Table 1\. Absolute\: energies calibrated against a pyroelectric meter\. Part\: THG has no rotational contribution and the atoms' values are electronic; N2's contains its \(small\) vibrational THG part, recorded as total\. Lehmeier's density is the ideal gas at 296 K \(Eq\. \(13\)\); the local\-field factor is included\. **Recorded bibliographic identity status:** VALIDATED\_WITH\_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- lehmeier\_1985/standard\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "standard_He", "material": "He", "file": "He/lehmeier_1985__standard_He.csv", "table": "tbl_3d2f3ba324ee", "quantity": "refractivity", "scale": 1e-05, "abscissa_unit": "um", "wavelength_medium": "vacuum", "state": "1atm_0C", "density": "unknown", "use": "reproduced", "reproduced_from": [ "dalgarno_1960" ] } Rows n1 \(lambda\_1 = 1\.055 um\) and n3 \(the third harmonic, 0\.3516667 um = lambda\_1/3\)\. Table 1, footnote a\)\: taken from Dalgarno and Kingston \(Ref\. 21, cited as Proc\. Roy\. Soc\. A259 \(1966\) 424; the paper is of 1960\)\. The helium n30 value carries the mark c\), the note giving chi\(3\) of helium, presumably a misprint for a\)\. Used by the paper to compute Delta k\_0 and chi\(3\); not measured here\. lehmeier\_1985/standard\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "standard_Ne", "material": "Ne", "file": "Ne/lehmeier_1985__standard_Ne.csv", "table": "tbl_3d2f3ba324ee", "quantity": "refractivity", "scale": 1e-05, "abscissa_unit": "um", "wavelength_medium": "vacuum", "state": "1atm_0C", "density": "unknown", "use": "reproduced", "reproduced_from": [ "dalgarno_1960" ] } Rows n1 \(lambda\_1 = 1\.055 um\) and n3 \(the third harmonic, 0\.3516667 um = lambda\_1/3\)\. Table 1, footnote a\)\: taken from Dalgarno and Kingston \(Ref\. 21, cited as Proc\. Roy\. Soc\. A259 \(1966\) 424; the paper is of 1960\)\. Used by the paper to compute Delta k\_0 and chi\(3\); not measured here\. lehmeier\_1985/standard\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "standard_Ar", "material": "Ar", "file": "Ar/lehmeier_1985__standard_Ar.csv", "table": "tbl_3d2f3ba324ee", "quantity": "refractivity", "scale": 1e-05, "abscissa_unit": "um", "wavelength_medium": "vacuum", "state": "1atm_0C", "density": "unknown", "use": "reproduced", "reproduced_from": [ "dalgarno_1960" ] } Rows n1 \(lambda\_1 = 1\.055 um\) and n3 \(the third harmonic, 0\.3516667 um = lambda\_1/3\)\. Table 1, footnote a\)\: taken from Dalgarno and Kingston \(Ref\. 21, cited as Proc\. Roy\. Soc\. A259 \(1966\) 424; the paper is of 1960\)\. Used by the paper to compute Delta k\_0 and chi\(3\); not measured here\. lehmeier\_1985/standard\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "standard_Kr", "material": "Kr", "file": "Kr/lehmeier_1985__standard_Kr.csv", "table": "tbl_3d2f3ba324ee", "quantity": "refractivity", "scale": 1e-05, "abscissa_unit": "um", "wavelength_medium": "vacuum", "state": "1atm_0C", "density": "unknown", "use": "reproduced", "reproduced_from": [ "dalgarno_1960" ] } Rows n1 \(lambda\_1 = 1\.055 um\) and n3 \(the third harmonic, 0\.3516667 um = lambda\_1/3\)\. Table 1, footnote a\)\: taken from Dalgarno and Kingston \(Ref\. 21, cited as Proc\. Roy\. Soc\. A259 \(1966\) 424; the paper is of 1960\)\. Used by the paper to compute Delta k\_0 and chi\(3\); not measured here\. lehmeier\_1985/standard\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "standard_Xe", "material": "Xe", "file": "Xe/lehmeier_1985__standard_Xe.csv", "table": "tbl_3d2f3ba324ee", "quantity": "refractivity", "scale": 1e-05, "abscissa_unit": "um", "wavelength_medium": "vacuum", "state": "1atm_0C", "density": "unknown", "use": "reproduced", "reproduced_from": [ "dalgarno_1960" ] } Rows n1 \(lambda\_1 = 1\.055 um\) and n3 \(the third harmonic, 0\.3516667 um = lambda\_1/3\)\. Table 1, footnote a\)\: taken from Dalgarno and Kingston \(Ref\. 21, cited as Proc\. Roy\. Soc\. A259 \(1966\) 424; the paper is of 1960\)\. Used by the paper to compute Delta k\_0 and chi\(3\); not measured here\. lehmeier\_1985/standard\_N2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "standard_N2", "material": "N2", "file": "N2/lehmeier_1985__standard_N2.csv", "table": "tbl_3d2f3ba324ee", "quantity": "refractivity", "scale": 1e-05, "abscissa_unit": "um", "wavelength_medium": "vacuum", "state": "1atm_0C", "density": "unknown", "use": "reproduced", "reproduced_from": [ "Landolt-Boernstein, Teil 8, Optische Konstanten, eds. K. H. Hellwege and A. M. Hellwege (Springer, Berlin, 1962) p. 6-885" ] } Rows n1 \(lambda\_1 = 1\.055 um\) and n3 \(the third harmonic, 0\.3516667 um = lambda\_1/3\)\. Table 1, footnote b\)\: taken from Landolt\-Boernstein \(Ref\. 22\); the original compilation is not in the library\. Used by the paper to compute Delta k\_0 and chi\(3\); not measured here\. lehmeier\_1985/gamma\_thg\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_thg_He", "material": "He", "file": "He/lehmeier_1985__gamma_thg_He.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-64, "abscissa_unit": "um", "use": "primary", "uncertainty": { "relative": 0.1, "level": "not stated" }, "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 1 \(p\. 71\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-64 C m^4/V^3, the paper's measurement at lambda\_1 = 1\.055 um \(vacuum\: lambda\_1 = 2 pi c/omega\_1\), 5 ps pulses, 296 K, 0\-2\.5 x 10^5 Pa, fitted with Eqs\. \(12\), \(13\), \(15\) \(ideal\-gas N, Lorentz local field\)\. Relative error \+\-0\.1 \(p\. 71\: 'The relative error of the normalized energy conversion is estimated to be about \+\-0\.2 leading to a relative error of the third hyperpolarizabilities of \+\-0\.1'\)\. Convention\: Lehmeier's own \(p\. 67, Eq\. \(1\)\)\: P\_NL = 4 eps0 chi\(3\) EEE on the real field, chi\(3\) = eps0^\-1 N L\(4\) gamma\(3\) \(Eq\. \(13\), p\. 69\), so the per\-molecule dipole is p = 4 gamma\(3\) E^3 and gamma\_T = 24 gamma\(3\) \(Shelton and Rice's Taylor series, p = \.\.\. \+ gamma\_T E^3/6\)\. An atom\: THG has no nuclear contribution; the value is electronic\. lehmeier\_1985/gamma\_thg\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_thg_Ne", "material": "Ne", "file": "Ne/lehmeier_1985__gamma_thg_Ne.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-64, "abscissa_unit": "um", "use": "primary", "uncertainty": { "relative": 0.1, "level": "not stated" }, "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 1 \(p\. 71\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-64 C m^4/V^3, the paper's measurement at lambda\_1 = 1\.055 um \(vacuum\: lambda\_1 = 2 pi c/omega\_1\), 5 ps pulses, 296 K, 0\-2\.5 x 10^5 Pa, fitted with Eqs\. \(12\), \(13\), \(15\) \(ideal\-gas N, Lorentz local field\)\. Relative error \+\-0\.1 \(p\. 71\: 'The relative error of the normalized energy conversion is estimated to be about \+\-0\.2 leading to a relative error of the third hyperpolarizabilities of \+\-0\.1'\)\. Convention\: Lehmeier's own \(p\. 67, Eq\. \(1\)\)\: P\_NL = 4 eps0 chi\(3\) EEE on the real field, chi\(3\) = eps0^\-1 N L\(4\) gamma\(3\) \(Eq\. \(13\), p\. 69\), so the per\-molecule dipole is p = 4 gamma\(3\) E^3 and gamma\_T = 24 gamma\(3\) \(Shelton and Rice's Taylor series, p = \.\.\. \+ gamma\_T E^3/6\)\. An atom\: THG has no nuclear contribution; the value is electronic\. lehmeier\_1985/gamma\_thg\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_thg_Ar", "material": "Ar", "file": "Ar/lehmeier_1985__gamma_thg_Ar.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-64, "abscissa_unit": "um", "use": "primary", "uncertainty": { "relative": 0.1, "level": "not stated" }, "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 1 \(p\. 71\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-64 C m^4/V^3, the paper's measurement at lambda\_1 = 1\.055 um \(vacuum\: lambda\_1 = 2 pi c/omega\_1\), 5 ps pulses, 296 K, 0\-2\.5 x 10^5 Pa, fitted with Eqs\. \(12\), \(13\), \(15\) \(ideal\-gas N, Lorentz local field\)\. Relative error \+\-0\.1 \(p\. 71\: 'The relative error of the normalized energy conversion is estimated to be about \+\-0\.2 leading to a relative error of the third hyperpolarizabilities of \+\-0\.1'\)\. Convention\: Lehmeier's own \(p\. 67, Eq\. \(1\)\)\: P\_NL = 4 eps0 chi\(3\) EEE on the real field, chi\(3\) = eps0^\-1 N L\(4\) gamma\(3\) \(Eq\. \(13\), p\. 69\), so the per\-molecule dipole is p = 4 gamma\(3\) E^3 and gamma\_T = 24 gamma\(3\) \(Shelton and Rice's Taylor series, p = \.\.\. \+ gamma\_T E^3/6\)\. An atom\: THG has no nuclear contribution; the value is electronic\. lehmeier\_1985/gamma\_thg\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_thg_Kr", "material": "Kr", "file": "Kr/lehmeier_1985__gamma_thg_Kr.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-64, "abscissa_unit": "um", "use": "primary", "uncertainty": { "relative": 0.1, "level": "not stated" }, "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 1 \(p\. 71\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-64 C m^4/V^3, the paper's measurement at lambda\_1 = 1\.055 um \(vacuum\: lambda\_1 = 2 pi c/omega\_1\), 5 ps pulses, 296 K, 0\-2\.5 x 10^5 Pa, fitted with Eqs\. \(12\), \(13\), \(15\) \(ideal\-gas N, Lorentz local field\)\. Relative error \+\-0\.1 \(p\. 71\: 'The relative error of the normalized energy conversion is estimated to be about \+\-0\.2 leading to a relative error of the third hyperpolarizabilities of \+\-0\.1'\)\. Convention\: Lehmeier's own \(p\. 67, Eq\. \(1\)\)\: P\_NL = 4 eps0 chi\(3\) EEE on the real field, chi\(3\) = eps0^\-1 N L\(4\) gamma\(3\) \(Eq\. \(13\), p\. 69\), so the per\-molecule dipole is p = 4 gamma\(3\) E^3 and gamma\_T = 24 gamma\(3\) \(Shelton and Rice's Taylor series, p = \.\.\. \+ gamma\_T E^3/6\)\. An atom\: THG has no nuclear contribution; the value is electronic\. lehmeier\_1985/gamma\_thg\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_thg_Xe", "material": "Xe", "file": "Xe/lehmeier_1985__gamma_thg_Xe.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-64, "abscissa_unit": "um", "use": "primary", "uncertainty": { "relative": 0.1, "level": "not stated" }, "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 1 \(p\. 71\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-64 C m^4/V^3, the paper's measurement at lambda\_1 = 1\.055 um \(vacuum\: lambda\_1 = 2 pi c/omega\_1\), 5 ps pulses, 296 K, 0\-2\.5 x 10^5 Pa, fitted with Eqs\. \(12\), \(13\), \(15\) \(ideal\-gas N, Lorentz local field\)\. Relative error \+\-0\.1 \(p\. 71\: 'The relative error of the normalized energy conversion is estimated to be about \+\-0\.2 leading to a relative error of the third hyperpolarizabilities of \+\-0\.1'\)\. Convention\: Lehmeier's own \(p\. 67, Eq\. \(1\)\)\: P\_NL = 4 eps0 chi\(3\) EEE on the real field, chi\(3\) = eps0^\-1 N L\(4\) gamma\(3\) \(Eq\. \(13\), p\. 69\), so the per\-molecule dipole is p = 4 gamma\(3\) E^3 and gamma\_T = 24 gamma\(3\) \(Shelton and Rice's Taylor series, p = \.\.\. \+ gamma\_T E^3/6\)\. An atom\: THG has no nuclear contribution; the value is electronic\. lehmeier\_1985/gamma\_thg\_N2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_thg_N2", "material": "N2", "file": "N2/lehmeier_1985__gamma_thg_N2.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability", "unit": "SI", "scale": 1e-64, "abscissa_unit": "um", "use": "primary", "uncertainty": { "relative": 0.1, "level": "not stated" }, "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "total" } } Table 1 \(p\. 71\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-64 C m^4/V^3, the paper's measurement at lambda\_1 = 1\.055 um \(vacuum\: lambda\_1 = 2 pi c/omega\_1\), 5 ps pulses, 296 K, 0\-2\.5 x 10^5 Pa, fitted with Eqs\. \(12\), \(13\), \(15\) \(ideal\-gas N, Lorentz local field\)\. Relative error \+\-0\.1 \(p\. 71\: 'The relative error of the normalized energy conversion is estimated to be about \+\-0\.2 leading to a relative error of the third hyperpolarizabilities of \+\-0\.1'\)\. Convention\: Lehmeier's own \(p\. 67, Eq\. \(1\)\)\: P\_NL = 4 eps0 chi\(3\) EEE on the real field, chi\(3\) = eps0^\-1 N L\(4\) gamma\(3\) \(Eq\. \(13\), p\. 69\), so the per\-molecule dipole is p = 4 gamma\(3\) E^3 and gamma\_T = 24 gamma\(3\) \(Shelton and Rice's Taylor series, p = \.\.\. \+ gamma\_T E^3/6\)\. N2\: the paper does not separate a vibrational part; THG's is small \(gamma\(\-3w; w, w, w\) has no rotational part\), so the value is nearly electronic, recorded as total\. lehmeier\_1985/gamma\_thg\_esu\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_thg_esu_He", "material": "He", "file": "He/lehmeier_1985__gamma_thg_esu_He.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "um", "use": "check", "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 1 \(p\. 71\), the same gamma\(3\) in 10^\-39 esu\: gamma\_thg\_He times 8\.0888e24 \(the conversion printed in Table 2's caption, from Minck et al\., Ref\. 17\), in Lehmeier's convention \(a quarter of Ward and New's esu chi, Table 2 note b\)\. Not independent of the SI column\. lehmeier\_1985/gamma\_thg\_esu\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_thg_esu_Ne", "material": "Ne", "file": "Ne/lehmeier_1985__gamma_thg_esu_Ne.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "um", "use": "check", "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 1 \(p\. 71\), the same gamma\(3\) in 10^\-39 esu\: gamma\_thg\_Ne times 8\.0888e24 \(the conversion printed in Table 2's caption, from Minck et al\., Ref\. 17\), in Lehmeier's convention \(a quarter of Ward and New's esu chi, Table 2 note b\)\. Not independent of the SI column\. lehmeier\_1985/gamma\_thg\_esu\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_thg_esu_Ar", "material": "Ar", "file": "Ar/lehmeier_1985__gamma_thg_esu_Ar.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "um", "use": "check", "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 1 \(p\. 71\), the same gamma\(3\) in 10^\-39 esu\: gamma\_thg\_Ar times 8\.0888e24 \(the conversion printed in Table 2's caption, from Minck et al\., Ref\. 17\), in Lehmeier's convention \(a quarter of Ward and New's esu chi, Table 2 note b\)\. Not independent of the SI column\. lehmeier\_1985/gamma\_thg\_esu\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_thg_esu_Kr", "material": "Kr", "file": "Kr/lehmeier_1985__gamma_thg_esu_Kr.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "um", "use": "check", "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 1 \(p\. 71\), the same gamma\(3\) in 10^\-39 esu\: gamma\_thg\_Kr times 8\.0888e24 \(the conversion printed in Table 2's caption, from Minck et al\., Ref\. 17\), in Lehmeier's convention \(a quarter of Ward and New's esu chi, Table 2 note b\)\. Not independent of the SI column\. lehmeier\_1985/gamma\_thg\_esu\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_thg_esu_Xe", "material": "Xe", "file": "Xe/lehmeier_1985__gamma_thg_esu_Xe.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "um", "use": "check", "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 1 \(p\. 71\), the same gamma\(3\) in 10^\-39 esu\: gamma\_thg\_Xe times 8\.0888e24 \(the conversion printed in Table 2's caption, from Minck et al\., Ref\. 17\), in Lehmeier's convention \(a quarter of Ward and New's esu chi, Table 2 note b\)\. Not independent of the SI column\. lehmeier\_1985/gamma\_thg\_esu\_N2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_thg_esu_N2", "material": "N2", "file": "N2/lehmeier_1985__gamma_thg_esu_N2.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "um", "use": "check", "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "total" } } Table 1 \(p\. 71\), the same gamma\(3\) in 10^\-39 esu\: gamma\_thg\_N2 times 8\.0888e24 \(the conversion printed in Table 2's caption, from Minck et al\., Ref\. 17\), in Lehmeier's convention \(a quarter of Ward and New's esu chi, Table 2 note b\)\. Not independent of the SI column\. lehmeier\_1985/chi\_ratio\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "chi_ratio_Ne", "material": "Ne", "file": "Ne/lehmeier_1985__chi_ratio_Ne.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability_ratio", "abscissa_unit": "um", "use": "check", "parameters": { "reference_material": "He", "process": "thg", "part": "electronic" } } Table 1 \(p\. 71\), chi\_0\(3\)/chi\_0\(3\)\(He\)\: the ratio of the susceptibilities at standard conditions \(1 atm, 0 degrees C\), so the ratio of gamma\(3\) times the ratio of the Lorentz factors L\(4\) \(which differ from 1 by less than 0\.3 %\)\. Derived from the gamma column, not independent\. lehmeier\_1985/chi\_ratio\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "chi_ratio_Ar", "material": "Ar", "file": "Ar/lehmeier_1985__chi_ratio_Ar.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability_ratio", "abscissa_unit": "um", "use": "check", "parameters": { "reference_material": "He", "process": "thg", "part": "electronic" } } Table 1 \(p\. 71\), chi\_0\(3\)/chi\_0\(3\)\(He\)\: the ratio of the susceptibilities at standard conditions \(1 atm, 0 degrees C\), so the ratio of gamma\(3\) times the ratio of the Lorentz factors L\(4\) \(which differ from 1 by less than 0\.3 %\)\. Derived from the gamma column, not independent\. lehmeier\_1985/chi\_ratio\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "chi_ratio_Kr", "material": "Kr", "file": "Kr/lehmeier_1985__chi_ratio_Kr.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability_ratio", "abscissa_unit": "um", "use": "check", "parameters": { "reference_material": "He", "process": "thg", "part": "electronic" } } Table 1 \(p\. 71\), chi\_0\(3\)/chi\_0\(3\)\(He\)\: the ratio of the susceptibilities at standard conditions \(1 atm, 0 degrees C\), so the ratio of gamma\(3\) times the ratio of the Lorentz factors L\(4\) \(which differ from 1 by less than 0\.3 %\)\. Derived from the gamma column, not independent\. lehmeier\_1985/chi\_ratio\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "chi_ratio_Xe", "material": "Xe", "file": "Xe/lehmeier_1985__chi_ratio_Xe.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability_ratio", "abscissa_unit": "um", "use": "check", "parameters": { "reference_material": "He", "process": "thg", "part": "electronic" } } Table 1 \(p\. 71\), chi\_0\(3\)/chi\_0\(3\)\(He\)\: the ratio of the susceptibilities at standard conditions \(1 atm, 0 degrees C\), so the ratio of gamma\(3\) times the ratio of the Lorentz factors L\(4\) \(which differ from 1 by less than 0\.3 %\)\. Derived from the gamma column, not independent\. lehmeier\_1985/chi\_ratio\_N2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "chi_ratio_N2", "material": "N2", "file": "N2/lehmeier_1985__chi_ratio_N2.csv", "table": "tbl_3d2f3ba324ee", "quantity": "hyperpolarizability_ratio", "abscissa_unit": "um", "use": "check", "parameters": { "reference_material": "He", "process": "thg", "part": "total" } } Table 1 \(p\. 71\), chi\_0\(3\)/chi\_0\(3\)\(He\)\: the ratio of the susceptibilities at standard conditions \(1 atm, 0 degrees C\), so the ratio of gamma\(3\) times the ratio of the Lorentz factors L\(4\) \(which differ from 1 by less than 0\.3 %\)\. Derived from the gamma column, not independent\. lehmeier\_1985/gamma\_694\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_694_He", "material": "He", "file": "He/lehmeier_1985__gamma_694_He.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "check", "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(a\)\: this work's 1\.055 um values transferred to 694\.3 nm with the one\-resonance approximation Eq\. \(18\), p\. 72, gamma\(\-w3a; \.\.\.\) = \(omega\_0 \- omega\_3b\)/\(omega\_0 \- omega\_3a\) gamma\(\-w3b; \.\.\.\), omega\_0 from Table 2's nu\_0 column \(the lowest transition entering the dispersion formula\)\. A model extrapolation of gamma\_thg, not a measurement\. Lehmeier's convention \(see gamma\_thg\_He\)\. lehmeier\_1985/gamma\_694\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_694_Ne", "material": "Ne", "file": "Ne/lehmeier_1985__gamma_694_Ne.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "check", "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(a\)\: this work's 1\.055 um values transferred to 694\.3 nm with the one\-resonance approximation Eq\. \(18\), p\. 72, gamma\(\-w3a; \.\.\.\) = \(omega\_0 \- omega\_3b\)/\(omega\_0 \- omega\_3a\) gamma\(\-w3b; \.\.\.\), omega\_0 from Table 2's nu\_0 column \(the lowest transition entering the dispersion formula\)\. A model extrapolation of gamma\_thg, not a measurement\. Lehmeier's convention \(see gamma\_thg\_Ne\)\. lehmeier\_1985/gamma\_694\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_694_Ar", "material": "Ar", "file": "Ar/lehmeier_1985__gamma_694_Ar.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "check", "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(a\)\: this work's 1\.055 um values transferred to 694\.3 nm with the one\-resonance approximation Eq\. \(18\), p\. 72, gamma\(\-w3a; \.\.\.\) = \(omega\_0 \- omega\_3b\)/\(omega\_0 \- omega\_3a\) gamma\(\-w3b; \.\.\.\), omega\_0 from Table 2's nu\_0 column \(the lowest transition entering the dispersion formula\)\. A model extrapolation of gamma\_thg, not a measurement\. Lehmeier's convention \(see gamma\_thg\_Ar\)\. lehmeier\_1985/gamma\_694\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_694_Kr", "material": "Kr", "file": "Kr/lehmeier_1985__gamma_694_Kr.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "check", "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(a\)\: this work's 1\.055 um values transferred to 694\.3 nm with the one\-resonance approximation Eq\. \(18\), p\. 72, gamma\(\-w3a; \.\.\.\) = \(omega\_0 \- omega\_3b\)/\(omega\_0 \- omega\_3a\) gamma\(\-w3b; \.\.\.\), omega\_0 from Table 2's nu\_0 column \(the lowest transition entering the dispersion formula\)\. A model extrapolation of gamma\_thg, not a measurement\. Lehmeier's convention \(see gamma\_thg\_Kr\)\. lehmeier\_1985/gamma\_694\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_694_Xe", "material": "Xe", "file": "Xe/lehmeier_1985__gamma_694_Xe.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "check", "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(a\)\: this work's 1\.055 um values transferred to 694\.3 nm with the one\-resonance approximation Eq\. \(18\), p\. 72, gamma\(\-w3a; \.\.\.\) = \(omega\_0 \- omega\_3b\)/\(omega\_0 \- omega\_3a\) gamma\(\-w3b; \.\.\.\), omega\_0 from Table 2's nu\_0 column \(the lowest transition entering the dispersion formula\)\. A model extrapolation of gamma\_thg, not a measurement\. Lehmeier's convention \(see gamma\_thg\_Xe\)\. lehmeier\_1985/gamma\_694\_N2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "gamma_694_N2", "material": "N2", "file": "N2/lehmeier_1985__gamma_694_N2.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "check", "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "total" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(a\)\: this work's 1\.055 um values transferred to 694\.3 nm with the one\-resonance approximation Eq\. \(18\), p\. 72, gamma\(\-w3a; \.\.\.\) = \(omega\_0 \- omega\_3b\)/\(omega\_0 \- omega\_3a\) gamma\(\-w3b; \.\.\.\), omega\_0 from Table 2's nu\_0 column \(the lowest transition entering the dispersion formula\)\. A model extrapolation of gamma\_thg, not a measurement\. Lehmeier's convention \(see gamma\_thg\_N2\)\. lehmeier\_1985/ward\_new\_normalized\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "ward_new_normalized_He", "material": "He", "file": "He/lehmeier_1985__ward_new_normalized_He.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "ward_1969" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(c\)\: Ward and New's \(Refs\. 1, 3\) THG coefficients 'normalized to helium with gamma\_1111\(3\)\(He\) = 1 x 10^\-39 esu' \(note c\), i\.e\. Ward and New's set \(i\) ratios to He times 1e\-39 esu\. Reproduced and rescaled\: Ward and New scale to chi\_He = 4\.0e\-39 esu \(Sitz and Yaris\), so these are ward\_1969's set \(i\) divided by 4 \(Ne 8\.9/4 = 2\.23, Ar 126/4 = 31\.5, Kr 386/4 = 96\.5, Xe 979/4 = 245, N2 107/4 = 26\.8\: all reproduce\)\. Column \(b\), Ward and New's ranges divided by 4 \(note b\), is not extracted\. lehmeier\_1985/ward\_new\_normalized\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "ward_new_normalized_Ne", "material": "Ne", "file": "Ne/lehmeier_1985__ward_new_normalized_Ne.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "ward_1969" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(c\)\: Ward and New's \(Refs\. 1, 3\) THG coefficients 'normalized to helium with gamma\_1111\(3\)\(He\) = 1 x 10^\-39 esu' \(note c\), i\.e\. Ward and New's set \(i\) ratios to He times 1e\-39 esu\. Reproduced and rescaled\: Ward and New scale to chi\_He = 4\.0e\-39 esu \(Sitz and Yaris\), so these are ward\_1969's set \(i\) divided by 4 \(Ne 8\.9/4 = 2\.23, Ar 126/4 = 31\.5, Kr 386/4 = 96\.5, Xe 979/4 = 245, N2 107/4 = 26\.8\: all reproduce\)\. Column \(b\), Ward and New's ranges divided by 4 \(note b\), is not extracted\. lehmeier\_1985/ward\_new\_normalized\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "ward_new_normalized_Ar", "material": "Ar", "file": "Ar/lehmeier_1985__ward_new_normalized_Ar.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "ward_1969" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(c\)\: Ward and New's \(Refs\. 1, 3\) THG coefficients 'normalized to helium with gamma\_1111\(3\)\(He\) = 1 x 10^\-39 esu' \(note c\), i\.e\. Ward and New's set \(i\) ratios to He times 1e\-39 esu\. Reproduced and rescaled\: Ward and New scale to chi\_He = 4\.0e\-39 esu \(Sitz and Yaris\), so these are ward\_1969's set \(i\) divided by 4 \(Ne 8\.9/4 = 2\.23, Ar 126/4 = 31\.5, Kr 386/4 = 96\.5, Xe 979/4 = 245, N2 107/4 = 26\.8\: all reproduce\)\. Column \(b\), Ward and New's ranges divided by 4 \(note b\), is not extracted\. lehmeier\_1985/ward\_new\_normalized\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "ward_new_normalized_Kr", "material": "Kr", "file": "Kr/lehmeier_1985__ward_new_normalized_Kr.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "ward_1969" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(c\)\: Ward and New's \(Refs\. 1, 3\) THG coefficients 'normalized to helium with gamma\_1111\(3\)\(He\) = 1 x 10^\-39 esu' \(note c\), i\.e\. Ward and New's set \(i\) ratios to He times 1e\-39 esu\. Reproduced and rescaled\: Ward and New scale to chi\_He = 4\.0e\-39 esu \(Sitz and Yaris\), so these are ward\_1969's set \(i\) divided by 4 \(Ne 8\.9/4 = 2\.23, Ar 126/4 = 31\.5, Kr 386/4 = 96\.5, Xe 979/4 = 245, N2 107/4 = 26\.8\: all reproduce\)\. Column \(b\), Ward and New's ranges divided by 4 \(note b\), is not extracted\. lehmeier\_1985/ward\_new\_normalized\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "ward_new_normalized_Xe", "material": "Xe", "file": "Xe/lehmeier_1985__ward_new_normalized_Xe.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "ward_1969" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(c\)\: Ward and New's \(Refs\. 1, 3\) THG coefficients 'normalized to helium with gamma\_1111\(3\)\(He\) = 1 x 10^\-39 esu' \(note c\), i\.e\. Ward and New's set \(i\) ratios to He times 1e\-39 esu\. Reproduced and rescaled\: Ward and New scale to chi\_He = 4\.0e\-39 esu \(Sitz and Yaris\), so these are ward\_1969's set \(i\) divided by 4 \(Ne 8\.9/4 = 2\.23, Ar 126/4 = 31\.5, Kr 386/4 = 96\.5, Xe 979/4 = 245, N2 107/4 = 26\.8\: all reproduce\)\. Column \(b\), Ward and New's ranges divided by 4 \(note b\), is not extracted\. lehmeier\_1985/ward\_new\_normalized\_N2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "ward_new_normalized_N2", "material": "N2", "file": "N2/lehmeier_1985__ward_new_normalized_N2.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "ward_1969" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "total" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(c\)\: Ward and New's \(Refs\. 1, 3\) THG coefficients 'normalized to helium with gamma\_1111\(3\)\(He\) = 1 x 10^\-39 esu' \(note c\), i\.e\. Ward and New's set \(i\) ratios to He times 1e\-39 esu\. Reproduced and rescaled\: Ward and New scale to chi\_He = 4\.0e\-39 esu \(Sitz and Yaris\), so these are ward\_1969's set \(i\) divided by 4 \(Ne 8\.9/4 = 2\.23, Ar 126/4 = 31\.5, Kr 386/4 = 96\.5, Xe 979/4 = 245, N2 107/4 = 26\.8\: all reproduce\)\. Column \(b\), Ward and New's ranges divided by 4 \(note b\), is not extracted\. lehmeier\_1985/sitz\_yaris\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "sitz_yaris_He", "material": "He", "file": "He/lehmeier_1985__sitz_yaris_He.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "P. Sitz and R. Yaris, J. Chem. Phys. 49, 3546 (1968)" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(d\), Ref\. 12\: P\. Sitz and R\. Yaris, J\. Chem\. Phys\. 49 \(1965\) 3546 \(as printed; Ward and New cite it as J\. Chem\. Phys\. 49, 3546 \(1968\)\)\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/mizuno\_He ~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "mizuno_He", "material": "He", "file": "He/lehmeier_1985__mizuno_He.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "J. Mizuno, J. Phys. B: Atom. Molec. Phys. 5, 1875 (1972)" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(e\), Ref\. 16\: J\. Mizuno, J\. Phys\. B 5 \(1972\) 1875\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/mizuno\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "mizuno_Ne", "material": "Ne", "file": "Ne/lehmeier_1985__mizuno_Ne.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "J. Mizuno, J. Phys. B: Atom. Molec. Phys. 5, 1875 (1972)" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(e\), Ref\. 16\: J\. Mizuno, J\. Phys\. B 5 \(1972\) 1875\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/klingbeil\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "klingbeil_He", "material": "He", "file": "He/lehmeier_1985__klingbeil_He.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "R. Klingbeil, V. G. Kaveeshwar and R. P. Hurst, Phys. Rev. A 4, 1760 (1971)" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(f\), Ref\. 15\: R\. Klingbeil, V\. G\. Kaveeshwar and R\. P\. Hurst, Phys\. Rev\. A 4 \(1971\) 1760\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/dawes\_He ~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "dawes_He", "material": "He", "file": "He/lehmeier_1985__dawes_He.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "dawes_1968" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(g\), Ref\. 11\: E\. L\. Dawes, Phys\. Rev\. 169 \(1968\) 47\. Reproduced and rescaled\: Dawes's Table I absolute values \(in Ward's esu, 0\.9, 1\.7, 28, 71, 222\) divided by 4 into Lehmeier's convention \(0\.225, 0\.425, 7, 17\.75, 55\.5; the printed Kr 17\.8 is rounded, the printed Xe 55\.4 is 0\.2 % below 222/4\)\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/dawes\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "dawes_Ne", "material": "Ne", "file": "Ne/lehmeier_1985__dawes_Ne.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "dawes_1968" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(g\), Ref\. 11\: E\. L\. Dawes, Phys\. Rev\. 169 \(1968\) 47\. Reproduced and rescaled\: Dawes's Table I absolute values \(in Ward's esu, 0\.9, 1\.7, 28, 71, 222\) divided by 4 into Lehmeier's convention \(0\.225, 0\.425, 7, 17\.75, 55\.5; the printed Kr 17\.8 is rounded, the printed Xe 55\.4 is 0\.2 % below 222/4\)\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/dawes\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "dawes_Ar", "material": "Ar", "file": "Ar/lehmeier_1985__dawes_Ar.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "dawes_1968" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(g\), Ref\. 11\: E\. L\. Dawes, Phys\. Rev\. 169 \(1968\) 47\. Reproduced and rescaled\: Dawes's Table I absolute values \(in Ward's esu, 0\.9, 1\.7, 28, 71, 222\) divided by 4 into Lehmeier's convention \(0\.225, 0\.425, 7, 17\.75, 55\.5; the printed Kr 17\.8 is rounded, the printed Xe 55\.4 is 0\.2 % below 222/4\)\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/dawes\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "dawes_Kr", "material": "Kr", "file": "Kr/lehmeier_1985__dawes_Kr.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "dawes_1968" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(g\), Ref\. 11\: E\. L\. Dawes, Phys\. Rev\. 169 \(1968\) 47\. Reproduced and rescaled\: Dawes's Table I absolute values \(in Ward's esu, 0\.9, 1\.7, 28, 71, 222\) divided by 4 into Lehmeier's convention \(0\.225, 0\.425, 7, 17\.75, 55\.5; the printed Kr 17\.8 is rounded, the printed Xe 55\.4 is 0\.2 % below 222/4\)\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/dawes\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "dawes_Xe", "material": "Xe", "file": "Xe/lehmeier_1985__dawes_Xe.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "dawes_1968" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(g\), Ref\. 11\: E\. L\. Dawes, Phys\. Rev\. 169 \(1968\) 47\. Reproduced and rescaled\: Dawes's Table I absolute values \(in Ward's esu, 0\.9, 1\.7, 28, 71, 222\) divided by 4 into Lehmeier's convention \(0\.225, 0\.425, 7, 17\.75, 55\.5; the printed Kr 17\.8 is rounded, the printed Xe 55\.4 is 0\.2 % below 222/4\)\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/tripathi\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "tripathi_He", "material": "He", "file": "He/lehmeier_1985__tripathi_He.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "B. P. Tripathi, R. K. Laloraya and S. L. Srivastava, Phys. Rev. A 4, 2076 (1971)" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(h\), Ref\. 14\: B\. P\. Tripathi, R\. K\. Laloraya and S\. L\. Srivastava, Phys\. Rev\. A 4 \(1971\) 2076\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/tripathi\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "tripathi_Ne", "material": "Ne", "file": "Ne/lehmeier_1985__tripathi_Ne.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "B. P. Tripathi, R. K. Laloraya and S. L. Srivastava, Phys. Rev. A 4, 2076 (1971)" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(h\), Ref\. 14\: B\. P\. Tripathi, R\. K\. Laloraya and S\. L\. Srivastava, Phys\. Rev\. A 4 \(1971\) 2076\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/tripathi\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "tripathi_Ar", "material": "Ar", "file": "Ar/lehmeier_1985__tripathi_Ar.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "B. P. Tripathi, R. K. Laloraya and S. L. Srivastava, Phys. Rev. A 4, 2076 (1971)" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(h\), Ref\. 14\: B\. P\. Tripathi, R\. K\. Laloraya and S\. L\. Srivastava, Phys\. Rev\. A 4 \(1971\) 2076\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/tripathi\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "tripathi_Kr", "material": "Kr", "file": "Kr/lehmeier_1985__tripathi_Kr.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "B. P. Tripathi, R. K. Laloraya and S. L. Srivastava, Phys. Rev. A 4, 2076 (1971)" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(h\), Ref\. 14\: B\. P\. Tripathi, R\. K\. Laloraya and S\. L\. Srivastava, Phys\. Rev\. A 4 \(1971\) 2076\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/langhoff\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "langhoff_He", "material": "He", "file": "He/lehmeier_1985__langhoff_He.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "P. W. Langhoff, J. D. Lyons and R. P. Hurst, Phys. Rev. 148, 18 (1966)" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(i\), Ref\. 10\: P\. W\. Langhoff, J\. D\. Lyons and R\. P\. Hurst, Phys\. Rev\. 148 \(1966\) 18\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/langhoff\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "langhoff_Ne", "material": "Ne", "file": "Ne/lehmeier_1985__langhoff_Ne.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "P. W. Langhoff, J. D. Lyons and R. P. Hurst, Phys. Rev. 148, 18 (1966)" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(i\), Ref\. 10\: P\. W\. Langhoff, J\. D\. Lyons and R\. P\. Hurst, Phys\. Rev\. 148 \(1966\) 18\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/langhoff\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "langhoff_Ar", "material": "Ar", "file": "Ar/lehmeier_1985__langhoff_Ar.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "P. W. Langhoff, J. D. Lyons and R. P. Hurst, Phys. Rev. 148, 18 (1966)" ], "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71, unlabelled in the library\), gamma\_1111\(3\)\(\-w3; w1, w1, w1\) in 10^\-39 esu at the ruby fundamental 694\.3 nm \(as printed; air or vacuum not stated\), column \(i\), Ref\. 10\: P\. W\. Langhoff, J\. D\. Lyons and R\. P\. Hurst, Phys\. Rev\. 148 \(1966\) 18\. A theoretical value as Lehmeier prints it; whether Lehmeier rescaled it into his convention \(a factor 4 below Ward and New's\) is stated only for column \(b\) and can be checked only for Dawes\. Theories are electronic\. lehmeier\_1985/dc\_kerr\_buckingham\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "dc_kerr_buckingham_He", "material": "He", "file": "He/lehmeier_1985__dc_kerr_buckingham_He.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "buckingham_1968" ], "parameters": { "process": "dc_kerr", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71\), last column\: gamma\_1111\(3\)\(\-w; w, 0, 0\) in 10^\-39 esu from dc Kerr measurements \(Ref\. 25, Buckingham and Dunmur 1968\) at 632\.8 nm \(p\. 72\)\. As printed these are Buckingham and Dunmur's gamma \(their table, 10^36 gamma in esu\: He 0\.027, Ne 0\.051, Ar 0\.59, Kr 1\.4, Xe 3\.9, in the Taylor convention of their Eq\. \(1\), Pi = alpha \+ gamma F F/2\) divided by 24 \(1\.125, 2\.125, 24\.58, 58\.33, 162\.5 x 10^\-39\: all reproduce\), i\.e\. converted into Lehmeier's convention \(gamma\_T/24\); Lehmeier does not state the route \(checked 2026\-09\-26\)\. ward\_1969's chi^K are the same values divided by 6\. Atoms\: electronic\. lehmeier\_1985/dc\_kerr\_buckingham\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "dc_kerr_buckingham_Ne", "material": "Ne", "file": "Ne/lehmeier_1985__dc_kerr_buckingham_Ne.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "buckingham_1968" ], "parameters": { "process": "dc_kerr", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71\), last column\: gamma\_1111\(3\)\(\-w; w, 0, 0\) in 10^\-39 esu from dc Kerr measurements \(Ref\. 25, Buckingham and Dunmur 1968\) at 632\.8 nm \(p\. 72\)\. As printed these are Buckingham and Dunmur's gamma \(their table, 10^36 gamma in esu\: He 0\.027, Ne 0\.051, Ar 0\.59, Kr 1\.4, Xe 3\.9, in the Taylor convention of their Eq\. \(1\), Pi = alpha \+ gamma F F/2\) divided by 24 \(1\.125, 2\.125, 24\.58, 58\.33, 162\.5 x 10^\-39\: all reproduce\), i\.e\. converted into Lehmeier's convention \(gamma\_T/24\); Lehmeier does not state the route \(checked 2026\-09\-26\)\. ward\_1969's chi^K are the same values divided by 6\. Atoms\: electronic\. lehmeier\_1985/dc\_kerr\_buckingham\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "dc_kerr_buckingham_Ar", "material": "Ar", "file": "Ar/lehmeier_1985__dc_kerr_buckingham_Ar.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "buckingham_1968" ], "parameters": { "process": "dc_kerr", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71\), last column\: gamma\_1111\(3\)\(\-w; w, 0, 0\) in 10^\-39 esu from dc Kerr measurements \(Ref\. 25, Buckingham and Dunmur 1968\) at 632\.8 nm \(p\. 72\)\. As printed these are Buckingham and Dunmur's gamma \(their table, 10^36 gamma in esu\: He 0\.027, Ne 0\.051, Ar 0\.59, Kr 1\.4, Xe 3\.9, in the Taylor convention of their Eq\. \(1\), Pi = alpha \+ gamma F F/2\) divided by 24 \(1\.125, 2\.125, 24\.58, 58\.33, 162\.5 x 10^\-39\: all reproduce\), i\.e\. converted into Lehmeier's convention \(gamma\_T/24\); Lehmeier does not state the route \(checked 2026\-09\-26\)\. ward\_1969's chi^K are the same values divided by 6\. Atoms\: electronic\. lehmeier\_1985/dc\_kerr\_buckingham\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "dc_kerr_buckingham_Kr", "material": "Kr", "file": "Kr/lehmeier_1985__dc_kerr_buckingham_Kr.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "buckingham_1968" ], "parameters": { "process": "dc_kerr", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71\), last column\: gamma\_1111\(3\)\(\-w; w, 0, 0\) in 10^\-39 esu from dc Kerr measurements \(Ref\. 25, Buckingham and Dunmur 1968\) at 632\.8 nm \(p\. 72\)\. As printed these are Buckingham and Dunmur's gamma \(their table, 10^36 gamma in esu\: He 0\.027, Ne 0\.051, Ar 0\.59, Kr 1\.4, Xe 3\.9, in the Taylor convention of their Eq\. \(1\), Pi = alpha \+ gamma F F/2\) divided by 24 \(1\.125, 2\.125, 24\.58, 58\.33, 162\.5 x 10^\-39\: all reproduce\), i\.e\. converted into Lehmeier's convention \(gamma\_T/24\); Lehmeier does not state the route \(checked 2026\-09\-26\)\. ward\_1969's chi^K are the same values divided by 6\. Atoms\: electronic\. lehmeier\_1985/dc\_kerr\_buckingham\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "dc_kerr_buckingham_Xe", "material": "Xe", "file": "Xe/lehmeier_1985__dc_kerr_buckingham_Xe.csv", "table": "tbl_905211afbf03", "quantity": "hyperpolarizability", "unit": "esu", "scale": 1e-39, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "buckingham_1968" ], "parameters": { "process": "dc_kerr", "convention": "lehmeier_1985", "part": "electronic" } } Table 2 \(p\. 71\), last column\: gamma\_1111\(3\)\(\-w; w, 0, 0\) in 10^\-39 esu from dc Kerr measurements \(Ref\. 25, Buckingham and Dunmur 1968\) at 632\.8 nm \(p\. 72\)\. As printed these are Buckingham and Dunmur's gamma \(their table, 10^36 gamma in esu\: He 0\.027, Ne 0\.051, Ar 0\.59, Kr 1\.4, Xe 3\.9, in the Taylor convention of their Eq\. \(1\), Pi = alpha \+ gamma F F/2\) divided by 24 \(1\.125, 2\.125, 24\.58, 58\.33, 162\.5 x 10^\-39\: all reproduce\), i\.e\. converted into Lehmeier's convention \(gamma\_T/24\); Lehmeier does not state the route \(checked 2026\-09\-26\)\. ward\_1969's chi^K are the same values divided by 6\. Atoms\: electronic\. lehmeier\_1985/chi\_He ~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "chi_He", "material": "He", "table": "text", "quantity": "nonlinear_susceptibility", "unit": "m2/V2", "scale": 1e-28, "abscissa_unit": "um", "state": "1atm_0C", "density": "ideal", "use": "check", "parameters": { "process": "thg", "convention": "lehmeier_1985", "part": "electronic" } } 1 inline points in the source record. Table 1 note c\) \(p\. 71\)\: chi\_0\(3\)\(He\) = 3\.43 x 10^\-28 m^2/V^2, chi\_1111\(3\)\(\-w3; w1, w1, w1\) of helium at standard conditions \(p0 = 1 atm, T0 = 0 degrees C; N0 = 2\.6869e19 cm^\-3, ideal gas, p\. 69\) in Lehmeier's convention P\_NL = 4 eps0 chi\(3\) EEE \(Eq\. \(1\), p\. 67\)\. It is Eq\. \(13\) applied to gamma\_thg\_He\: 2\.6869e25 m^\-3 x 1\.13e\-64 / 8\.854e\-12 = 3\.43e\-28 \(L\(4\) = 1\.0001; checked 2026\-09\-26\)\. Not independent\. 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.