rourke_2021 =========== P\. M\. C\. Rourke, J\. Phys\. Chem\. Ref\. Data 50, 033104 \(2021\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1063/5\.0055412 `__ **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 ~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "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 ~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "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 ~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "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 ~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "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 ~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "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 ~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "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 ~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "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 ~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "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 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "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 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "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 :doc:`review register ` for the checks and decisions.