lehmeier_1985#

H. J. Lehmeier, W. Leupacher and A. Penzkofer, Opt. Commun. 56, 67 (1985)

Source record · Catalogue · Review register

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#

{
  "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#

{
  "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#

{
  "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#

{
  "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#

{
  "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#

{
  "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#

{
  "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#

{
  "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"
  }
}

lehmeier_1985/gamma_thg_Ar#

{
  "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"
  }
}

lehmeier_1985/gamma_thg_Kr#

{
  "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"
  }
}

lehmeier_1985/gamma_thg_Xe#

{
  "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"
  }
}

lehmeier_1985/gamma_thg_N2#

{
  "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#

{
  "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#

{
  "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#

{
  "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#

{
  "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#

{
  "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#

{
  "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#

{
  "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#

{
  "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"
  }
}

lehmeier_1985/chi_ratio_Kr#

{
  "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"
  }
}

lehmeier_1985/chi_ratio_Xe#

{
  "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"
  }
}

lehmeier_1985/chi_ratio_N2#

{
  "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"
  }
}

lehmeier_1985/gamma_694_He#

{
  "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#

{
  "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"
  }
}

lehmeier_1985/gamma_694_Ar#

{
  "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"
  }
}

lehmeier_1985/gamma_694_Kr#

{
  "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"
  }
}

lehmeier_1985/gamma_694_Xe#

{
  "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"
  }
}

lehmeier_1985/gamma_694_N2#

{
  "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"
  }
}

lehmeier_1985/ward_new_normalized_He#

{
  "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#

{
  "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"
  }
}

lehmeier_1985/ward_new_normalized_Ar#

{
  "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"
  }
}

lehmeier_1985/ward_new_normalized_Kr#

{
  "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"
  }
}

lehmeier_1985/ward_new_normalized_Xe#

{
  "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"
  }
}

lehmeier_1985/ward_new_normalized_N2#

{
  "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"
  }
}

lehmeier_1985/sitz_yaris_He#

{
  "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#

{
  "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#

{
  "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"
  }
}

lehmeier_1985/klingbeil_He#

{
  "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#

{
  "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#

{
  "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"
  }
}

lehmeier_1985/dawes_Ar#

{
  "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"
  }
}

lehmeier_1985/dawes_Kr#

{
  "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"
  }
}

lehmeier_1985/dawes_Xe#

{
  "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"
  }
}

lehmeier_1985/tripathi_He#

{
  "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#

{
  "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"
  }
}

lehmeier_1985/tripathi_Ar#

{
  "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"
  }
}

lehmeier_1985/tripathi_Kr#

{
  "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"
  }
}

lehmeier_1985/langhoff_He#

{
  "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#

{
  "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"
  }
}

lehmeier_1985/langhoff_Ar#

{
  "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"
  }
}

lehmeier_1985/dc_kerr_buckingham_He#

{
  "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#

{
  "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"
  }
}

lehmeier_1985/dc_kerr_buckingham_Ar#

{
  "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"
  }
}

lehmeier_1985/dc_kerr_buckingham_Kr#

{
  "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"
  }
}

lehmeier_1985/dc_kerr_buckingham_Xe#

{
  "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"
  }
}

lehmeier_1985/chi_He#

{
  "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 review register for the checks and decisions.