gaiser_2010 =========== C\. Gaiser and B\. Fellmuth, Europhys\. Lett\. 90, 63002 \(2010\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1209/0295\-5075/90/63002 `__ **Source kind:** measurement **Recorded technique:** Dielectric\-constant gas thermometry \(DCGT\) at PTB\: the relative capacitance change gamma = eps\_r \- 1 \+ eps\_r kappa\_eff p of a gas\-filled capacitor measured along isotherms at 26\-36 K \(seven pairs of helium and neon isotherms at identical temperatures, 7\-19 points each\), fitted by the third\-order expansion p = A\_1 \(mu \+ A\_2 mu^2 \+ A\_3 mu^3\) in mu = gamma/\(gamma \+ 3\) \(Eq\. \(1\)\)\. Combining the helium and neon A\_1 at the same temperature eliminates RT \(Eq\. \(3\)\); the neon molar polarizability follows from the ab initio helium value \(Lach et al\. 2004\)\. Very low measuring frequency\: the static polarizability\. Neon 99\.9993 % \(5 ppm He and 4 ppm H2 measured\), helium 99\.9999 % through a cold trap \(pp\. 2\-3\)\. **Materials in structured entries:** Ne **Dataset quantities:** molar\_refractivity, polarizability **Contents:** 6 datasets; 0 formulas. Curation notes -------------- The molar polarizability is A\_eps = N\_A alpha\_0 / \(3 eps0\) \(p\. 2\), the package's molar refractivity \(unit cm3/mol, printed values x 1e\-7 m^3/mol = 0\.1 cm^3/mol\: scale 0\.1\)\. It is a density\-independent \(zero\-density\) static quantity\: the virial terms are in A\_2, A\_3 of the isotherm fit, which the paper does not report, so there is no refractivity virial coefficient to extract\. alpha\_0 in a\.u\. is derived 'via the fundamental constants given in \[10\]' \(CODATA 2006\)\: 3 A\_eps/\(4 pi N\_A a0^3\) gives 2\.661098 for the mean \(checked 2026\-09\-24; 2\.661099 with CODATA 2018\)\. Uncertainty\: 'relative standard uncertainty of about 11 parts in 10^6' \(abstract\); Table 2's weighted mean has u\_r = 10\.6 ppm \(one standard uncertainty\)\. The weights are the inverse squared combined uncertainties; the type\-B part 'almost independent of temperature on the level of 8 ppm' is common to all temperatures, which is why the mean's 10\.6 ppm exceeds the 8\.5 ppm an independent average would give \(recomputed 2026\-09\-24; the weighted mean itself reproduces, 9\.947271\)\. Table 1 gives the budgets at 26 and 36 K \(67\.2 and 16\.8 ppm\), not extracted\. Comparison values in the text \(not in tables\)\: Christiansen et al\. \(1998\) non\-relativistic CCSD\(T\) A\_eps = 9\.943\(37\) x 10^\-7 m^3/mol; the authors' rescaling of Klopper et al\. \(2004\) to a quasi\-FCI plus relativistic estimate, 9\.950\(08\) x 10^\-7 m^3/mol \(uncertainty 7\.5 x 10^\-10 m^3/mol, private communication\), and of Franke et al\. \(2001\), 9\.956\(22\) x 10^\-7 m^3/mol \(p\. 5\)\. Orcutt and Cole's \(1967\) value deviates by about 0\.3 % with a stated 0\.1 % \(p\. 4\), and their helium value deviates from theory by about 0\.4 %, suggesting a systematic excess; shown in Fig\. 2 only\. The two optical He\-Ne\-laser measurements \(Burns et al\. 1986; Hohm and Kerl 1990\) are shown in Fig\. 2 only, transferred to static values with a correction of about \-5\.6 x 10^\-9 m^3/mol from Klopper et al\.'s frequency dependence \(p\. 4\)\. **Recorded bibliographic identity status:** VALIDATED. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- gaiser\_2010/molar\_polarizability ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "molar_polarizability", "material": "Ne", "file": "Ne/gaiser_2010__molar_polarizability.csv", "table": "tbl_7249e8b90cbe", "quantity": "molar_refractivity", "unit": "cm3/mol", "scale": 0.1, "abscissa_unit": "nm", "use": "primary", "uncertainty": { "relative": 1.06e-05, "level": "1 sigma" } } Table 2 'Weighted mean'\: A\_eps = 9\.94727 x 10^\-7 m^3/mol, static \(DCGT at very low frequency\), the paper's result \(abstract, p\. 4\)\. gaiser\_2010/molar\_polarizability\_by\_temperature ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "molar_polarizability_by_temperature", "material": "Ne", "file": "Ne/gaiser_2010__molar_polarizability_by_temperature.csv", "table": "tbl_7249e8b90cbe", "quantity": "molar_refractivity", "unit": "cm3/mol", "scale": 0.1, "abscissa_unit": "nm", "use": "check", "uncertainty": { "relative": 0.00029, "level": "1 sigma", "relative_rows": { "26": 6.72e-05, "27": 3.19e-05, "28": 0.00029, "30": 2.61e-05, "32": 1.58e-05, "34": 1.69e-05, "36": 1.68e-05 }, "systematic_relative": 8e-06 } } Table 2, the seven per\-isotherm values \(row ids are the temperatures T\_i in K\), whose weighted mean is molar\_polarizability\: a check, not fitted beside it\. Per\-row relative standard uncertainties from the u\_r column; about 8 ppm of each is common type\-B\. relative = 290e\-6 is only a fallback \(the largest row\)\: every row has its own value in relative\_rows, but the loader counts an uncertainty as stated only when relative, absolute or column is set\. gaiser\_2010/alpha\_au ~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "alpha_au", "material": "Ne", "file": "Ne/gaiser_2010__alpha_au.csv", "table": "tbl_7249e8b90cbe", "quantity": "polarizability", "unit": "au", "abscissa_unit": "nm", "use": "check", "uncertainty": { "relative": 1.06e-05, "level": "1 sigma" } } Table 2 'Weighted mean', alpha\_0 = 2\.66110 a\.u\.\: the same measurement as molar\_polarizability converted with CODATA 2006 \(reproduces, source notes\); a check\. Reproduced as 2\.66110\(3\) by Lesiuk et al\. 2020 and Wang et al\. 2021\. gaiser\_2010/christiansen\_1998 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "christiansen_1998", "material": "Ne", "table": "text", "quantity": "molar_refractivity", "unit": "cm3/mol", "scale": 0.1, "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "O. Christiansen, C. Hättig and J. Gauss, J. Chem. Phys. 109, 4745 (1998)" ], "uncertainty": { "column": true, "level": "not stated" } } 1 inline points in the source record. p\. 5\: 'The final, non\-relativistic estimate for A\_eps^Ne = 9\.943\(37\) x 10^\-7 m^3/mol' \(CCSD\(T\)\)\. Theory without relativistic corrections\. gaiser\_2010/klopper\_2004\_rescaled ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "klopper_2004_rescaled", "material": "Ne", "table": "text", "quantity": "molar_refractivity", "unit": "cm3/mol", "scale": 0.1, "abscissa_unit": "nm", "use": "check", "reproduced_from": [ "W. Klopper, S. Coriani, T. Helgaker and P. Jørgensen, J. Phys. B: At. Mol. Opt. Phys. 37, 3753 (2004)" ], "uncertainty": { "column": true, "level": "not stated" } } 1 inline points in the source record. p\. 5\: the authors' quasi\-FCI estimate from Klopper et al\.'s CCSD\(T\) and CCSD\[T\] results \(CCSD\(T\) \+ 1/9 of the difference, following Franke et al\.\) plus Klopper et al\.'s relativistic corrections\: 9\.950\(08\) x 10^\-7 m^3/mol, uncertainty 7\.5 x 10^\-10 m^3/mol \(Klopper, private communication\)\. Derived by Gaiser and Fellmuth from theory\: a check\. gaiser\_2010/franke\_2001\_rescaled ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "franke_2001_rescaled", "material": "Ne", "table": "text", "quantity": "molar_refractivity", "unit": "cm3/mol", "scale": 0.1, "abscissa_unit": "nm", "use": "check", "reproduced_from": [ "R. Franke, H. Müller and J. Noga, J. Chem. Phys. 114, 7746 (2001)" ], "uncertainty": { "column": true, "level": "not stated" } } 1 inline points in the source record. p\. 5\: Franke et al\.'s CCSD\(T\) and CCSD\[T\] data rescaled by the same one\-ninth rule\: 9\.956\(22\) x 10^\-7 m^3/mol\. Derived by Gaiser and Fellmuth\: a check\. \(Franke et al\.'s own final estimate is shown in Fig\. 2 only\.\) 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.