rourke_2021#

P. M. C. Rourke, J. Phys. Chem. Ref. Data 50, 033104 (2021)

Source record · Catalogue · Review register

Source kind: compilation

Recorded technique: Review of the reference data of refractive-index gas metrology (RIGM) for helium, neon, argon and nitrogen, with recommended values (Table 3), new fits of literature data for C_eps (He, Ne, Ar), B_rho (Ar, N2) and C_rho (N2), and re-analyses of RIGM and DCGT measurements (Tables 4-6).

Materials in structured entries: Ar, He, N2, Ne

Dataset quantities: molar_refractivity, refractivity_virial_coefficient

Contents: 10 datasets; 0 formulas.

Curation notes#

Working equation (Eqs. (1)-(5)): (n^2 - 1)/(n^2 + 2) = sum_i A_i (p/(N_A k_B T))^i with A_1 = A_eps + A_mu (zero-density molar electric polarizability plus molar magnetic susceptibility); for optical RIGM A_R replaces A_eps + A_mu, B_R replaces B_eps and C_R replaces C_eps, ‘understood to be at the frequency of the measuring laser’, 632.9908 nm for the tabulated optical values (p. 4, Table 3 note a). A_R therefore INCLUDES the magnetic A_mu; the static A_eps does not. 632.9908 nm is taken as the vacuum wavelength of the He-Ne laser (the paper does not say; the air wavelength of that line would be near 632.8 nm). ‘All uncertainties in the present work have been converted to standard uncertainties (k = 1)’ (p. 4). Page numbers are the library pdf pages (pdf page 1 is the publisher’s cover; the article page is one less).

Datasets: the Table 3 rows with a number in a curated quantity. The recommended values are other authors’ (reproduced) except the helium A_R, which Rourke assembles (check). The table also recommends, without a quantity here (FORMAT NEED: a molar magnetic susceptibility A_mu = 4 pi chi_0/3, and third virial coefficients C_eps, C_R): A_mu He -7.921(4) x 10^-6 (Bruch and Weinhold, relativistic treatment), Ne -3.1713(71) x 10^-5 (Lesiuk et al. 2020, i.e. lesiuk_2020’s chi_0), Ar -8.09(57) x 10^-5 cm^3/mol (Barter et al., uncertainty raised by Rourke to 7 %, p. 13); C_R Ar -85.4(20) cm^9/mol^3 at 303 K (Achtermann et al. 1993), N2 -89(10) cm^9/mol^3 at 302.919 K (Achtermann et al. via Egan et al. 2016); C_eps fits He (7.69744e-3 T - 3.00555) (0.22), Ne (5.32572e-3 T - 5.21418) (0.69), Ar (0.224542 T - 139.502) (20) cm^9/mol^3 (the present work’s weighted straight lines through Table 4); D_eps He -2.3(15), Ne 3.5(77), Ar 140(190) cm^12/mol^4 at 298 K. The text adds C_R Ar -86.6(20) at 323 K (Achtermann et al. 1991) and -79(10) at 298 K (Coulon et al. 1981), N2 -85(10) at 298 K (Montixi et al. 1983) (p. 15). B_eps, B_R of He, Ne, Ar are pointers to the supplementary files of Garberoglio and Harvey (2020) and Hellmann et al. (2021), not in the library (B_R ‘listed without uncertainties’).

Text values extracted inline: neon A_R derived by Rourke from Lesiuk et al.’s dispersion coefficients, Gaiser and Fellmuth’s A_eps and Lesiuk et al.’s chi_0: 1.000249(14) cm^3/mol at 632.9908 nm, 38 ppm above Egan et al.’s measurement, ‘outside the combined standard uncertainties’, and 0.9956018(34) at 1550 nm (p. 13); Egan et al.’s (2016) nitrogen A_R 4.446139(16) cm^3/mol at 302.919 K, not recommended because it is traceable to a mercury manometer (p. 13). The helium A_R retardation correction of Pachucki and Puchalski, -0.140 ppm at 633 nm, has no uncertainty (p. 13).

Not extracted: Table 1 (data needs), Table 2 (copper heat-capacity coefficients), Table 4 (C_eps compilation), Tables 5-6 (B_rho of He, Ne, Ar, N2 and its budgets): no refractive quantity.

Recorded bibliographic identity status: VALIDATED. This concerns identification of the source; it does not establish the scientific correctness of its contents.

Datasets#

rourke_2021/A_eps_He#

{
  "id": "A_eps_He",
  "material": "He",
  "file": "He/rourke_2021__A_eps_He.csv",
  "table": "tbl_9524b9b87512",
  "quantity": "molar_refractivity",
  "unit": "cm3/mol",
  "abscissa_unit": "nm",
  "use": "reproduced",
  "reproduced_from": [
    "M. Puchalski, K. Szalewicz, M. Lesiuk, and B. Jeziorski, Phys. Rev. A 101, 022505 (2020)"
  ],
  "uncertainty": {
    "column": true,
    "level": "1 sigma"
  }
}

Table 3: recommended static A_eps = 0.51725408(5) cm^3/mol (theory, QED calculation with the fixed N_A and h; ‘agrees with the previous best A_eps calculation (Puchalski et al. 2016) but with uncertainty reduced from 0.12 to 0.10 ppm’, p. 11). The original is not in the library; puchalski_2016 gives 0.51725413(6).

rourke_2021/A_eps_Ne#

{
  "id": "A_eps_Ne",
  "material": "Ne",
  "file": "Ne/rourke_2021__A_eps_Ne.csv",
  "table": "tbl_9524b9b87512",
  "quantity": "molar_refractivity",
  "unit": "cm3/mol",
  "abscissa_unit": "nm",
  "use": "reproduced",
  "reproduced_from": [
    "gaiser_2018"
  ],
  "uncertainty": {
    "column": true,
    "level": "1 sigma"
  }
}

Table 3: recommended static A_eps = 0.9947114(24) cm^3/mol, Gaiser and Fellmuth 2018 (DCGT).

rourke_2021/A_eps_Ar#

{
  "id": "A_eps_Ar",
  "material": "Ar",
  "file": "Ar/rourke_2021__A_eps_Ar.csv",
  "table": "tbl_9524b9b87512",
  "quantity": "molar_refractivity",
  "unit": "cm3/mol",
  "abscissa_unit": "nm",
  "use": "reproduced",
  "reproduced_from": [
    "gaiser_2018"
  ],
  "uncertainty": {
    "column": true,
    "level": "1 sigma"
  }
}

Table 3: recommended static A_eps = 4.140686(10) cm^3/mol, Gaiser and Fellmuth 2018 (DCGT).

rourke_2021/A_R_He#

{
  "id": "A_R_He",
  "material": "He",
  "file": "He/rourke_2021__A_R_He.csv",
  "table": "tbl_9524b9b87512",
  "quantity": "molar_refractivity",
  "unit": "cm3/mol",
  "abscissa_unit": "nm",
  "use": "check",
  "reproduced_from": [
    "puchalski_2016",
    "M. Puchalski, K. Szalewicz, M. Lesiuk, and B. Jeziorski, Phys. Rev. A 101, 022505 (2020)",
    "K. Pachucki and M. Puchalski, Phys. Rev. A 99, 041803(R) (2019)"
  ],
  "uncertainty": {
    "column": true,
    "level": "1 sigma"
  }
}

Table 3: A_R = 0.52025565(5) cm^3/mol at 632.9908 nm (note a), assembled by Rourke: Puchalski et al.’s (2016) frequency dependence added to Puchalski et al.’s (2020) A_eps, with Pachucki and Puchalski’s retardation correction (-0.140 ppm at 633 nm, no uncertainty) (p. 13). Includes A_mu (Eq. (3) with A_R in place of A_eps + A_mu). Derived from theory: a check.

rourke_2021/A_R_Ne#

{
  "id": "A_R_Ne",
  "material": "Ne",
  "file": "Ne/rourke_2021__A_R_Ne.csv",
  "table": "tbl_9524b9b87512",
  "quantity": "molar_refractivity",
  "unit": "cm3/mol",
  "abscissa_unit": "nm",
  "use": "reproduced",
  "reproduced_from": [
    "egan_2019"
  ],
  "uncertainty": {
    "column": true,
    "level": "1 sigma"
  }
}

Table 3: A_R = 1.000211(16) cm^3/mol at 632.9908 nm (note a), Egan et al. 2019 (optical RIGM traceable to helium theory).

rourke_2021/A_R_Ar#

{
  "id": "A_R_Ar",
  "material": "Ar",
  "file": "Ar/rourke_2021__A_R_Ar.csv",
  "table": "tbl_9524b9b87512",
  "quantity": "molar_refractivity",
  "unit": "cm3/mol",
  "abscissa_unit": "nm",
  "use": "reproduced",
  "reproduced_from": [
    "egan_2019"
  ],
  "uncertainty": {
    "column": true,
    "level": "1 sigma"
  }
}

Table 3: A_R = 4.195685(64) cm^3/mol at 632.9908 nm (note a), Egan et al. 2019.

rourke_2021/A_R_N2#

{
  "id": "A_R_N2",
  "material": "N2",
  "file": "N2/rourke_2021__A_R_N2.csv",
  "table": "tbl_9524b9b87512",
  "quantity": "molar_refractivity",
  "unit": "cm3/mol",
  "abscissa_unit": "nm",
  "use": "reproduced",
  "reproduced_from": [
    "egan_2019"
  ],
  "uncertainty": {
    "column": true,
    "level": "1 sigma"
  },
  "parameters": {
    "temperature_k": 293.1529
  }
}

Table 3: A_R = 4.446107(68) cm^3/mol at 632.9908 nm and 293.1529 K (row id; nitrogen’s A_R depends on temperature, p. 13), Egan et al. 2019.

rourke_2021/B_R_N2#

{
  "id": "B_R_N2",
  "material": "N2",
  "file": "N2/rourke_2021__B_R_N2.csv",
  "table": "tbl_9524b9b87512",
  "quantity": "refractivity_virial_coefficient",
  "unit": "cm6/mol2",
  "abscissa_unit": "nm",
  "use": "reproduced",
  "reproduced_from": [
    "achtermann_1991",
    "P. F. Egan, J. A. Stone, J. E. Ricker, and J. H. Hendricks, Rev. Sci. Instrum. 87, 053113 (2016)"
  ],
  "uncertainty": {
    "column": true,
    "level": "1 sigma"
  },
  "parameters": {
    "temperature_k": 302.919
  }
}

Table 3: B_R = 0.81(20) cm^6/mol^2 at 302.919 K and 632.9908 nm (note a), ‘Achtermann et al. (Refs. 13, 94)’: Achtermann et al.’s (1991) measurements as used by Egan et al. (2016) at 302.919 K; achtermann_1991 gives 0.89(6) at 323 K. Egan et al. 2016 is not in the library.

rourke_2021/A_R_Ne_derived#

{
  "id": "A_R_Ne_derived",
  "material": "Ne",
  "table": "text",
  "quantity": "molar_refractivity",
  "unit": "cm3/mol",
  "abscissa_unit": "nm",
  "use": "check",
  "reproduced_from": [
    "lesiuk_2020",
    "gaiser_2018"
  ],
  "uncertainty": {
    "column": true,
    "level": "1 sigma"
  }
}

2 inline points in the source record.

p. 13: A_R of neon from Lesiuk et al.’s (2020) dispersion coefficients and chi_0 with Gaiser and Fellmuth’s A_eps: 1.000249(14) cm^3/mol at 632.9908 nm and 0.9956018(34) at 1550 nm (vacuum assumed). Derived by Rourke from theory and DCGT: a check; 38 ppm above Egan et al.’s measured 1.000211(16).

rourke_2021/A_R_N2_egan_2016#

{
  "id": "A_R_N2_egan_2016",
  "material": "N2",
  "table": "text",
  "quantity": "molar_refractivity",
  "unit": "cm3/mol",
  "abscissa_unit": "nm",
  "use": "reproduced",
  "reproduced_from": [
    "P. F. Egan, J. A. Stone, J. E. Ricker, and J. H. Hendricks, Rev. Sci. Instrum. 87, 053113 (2016)"
  ],
  "uncertainty": {
    "column": true,
    "level": "1 sigma"
  },
  "parameters": {
    "temperature_k": 302.919
  }
}

1 inline points in the source record.

p. 13: ‘Egan et al. earlier measured A_R to be 4.446139(16) cm^3 mol^-1 at 302.919 K’ (632.9908 nm assumed, the laser of Ref. 13 is not named here); not recommended because it is traceable to a mercury manometer. Row id: the temperature. The original is not in the library.

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.