hausler_1988 ============ H\. Häusler and K\. Kerl, "Mean polarizabilities and second and third virial coefficients of the gases C2H4, C2H6, and SF6", Int\. J\. Thermophys\. 9, 117 \(1988\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1007/bf00504004 `__ **Source kind:** measurement **Recorded technique:** Absolute refractivity with an evacuated Michelson interferometer, He\-Ne laser at 632\.99 nm \(two isotherms at the green Hg line\), stainless\-steel sample cell l\(296\.28 K\) = 42\.592\(14\) cm, 250\-340 K and 0\-3 MPa\: the gas is pumped out in 12\-35 pressure steps \(pressure to 1\.8e\-4 of the transducer's 3\.5 MPa, temperature to 10 mK\) while the fringes are counted \(Eq\. 1, pp\. 118\-119\)\. The Lorentz\-Lorenz function of the ideal\-gas density is fitted by a recursive residual procedure \(Eqs\. 2\-4\), weighted \(w\_k = p\_k\) and unweighted\. SF6 purity 99\.9 %\. **Materials in structured entries:** SF6 **Dataset quantities:** molar\_refractivity **Contents:** 17 datasets; 0 formulas. Curation notes -------------- Page numbers are the journal's \(117\-130; pdf page 1 = p\. 117\)\. The library directory's author field is garbled \('H?usler'\); the citation is the paper's\. Reduction \(Eqs\. 2 and 5, pp\. 119\-120\)\: LL\* = \(n^2 \- 1\)/\(n^2 \+ 2\)/rho\_0 = sum\_i A\_i rho\_0^\(i\-1\), rho\_0 = p/RT \(R = 8\.31432\); A\_1 = 4 pi N\_A alpha\_0/3 is the molar refractivity of the free molecule \(zero density\), so no state applies\. B and C \(Table I, second part\) assume b\_R = A\_1/4 \(Eq\. 9\) and c\_R = 0 \(Eq\. 10\)\: equation\-of\-state quantities, not extracted\. Uncertainty\: 'As usual, standard deviations Delta A\_i of the corresponding last figures are given in parentheses' \(p\. 121\), 1 sigma of the fit\. 'The uncertainties of the unweighted data are always up to 10 times larger' \(p\. 121\); the pressure measurement at low density 'limits the accuracy of measured polarizabilities' \(p\. 118\), and the scatter of A\_1 hides any temperature dependence \(p\. 124\)\. Table I is split by the library into two tables \(the second has lost its row labels; its rows follow the first's order, checked on the image, pp\. 122\-123\)\. Only A\_1 is taken; the second part's 10^24 alpha\_0 \(cm^3\) is 3 A\_1/\(4 pi N\_A\)\. Means \(p\. 124, text\)\: 'The averages of A\_1 \(633 nm\) in cm^3 mol^\-1 in Table I'\: SF6 10\.995\(42\) \(w\), 10\.995\(36\) \(uw\), leaving out 'the obvious bad value 10\.8477 in Table I at 337 K' \(the uw mean also leaves out 337 K\)\. Checked\: the mean and sample standard deviation of the other five weighted values are 10\.99518 and 0\.0420; of the unweighted 10\.99500 and 0\.0365\. Inline datasets A\_1\_mean\_w\_SF6 and A\_1\_mean\_uw\_SF6, use = 'check'\. The authors compare with St\-Arnaud and Bose's 11\.348\(21\) \(\[24\], st\_arnaud\_1979, at 323 K\)\: 'The reason for the pronounced deviation in the case of SF6 is not yet clear\. However, this deviation cannot be attributed only to the stated impurity of 0\.1%' \(pp\. 124\-125\)\. This paper's mean is 3\.1 % below St\-Arnaud and Bose, and 2\.9 % below optmat's fit/SF6 at 632\.99 nm \(11\.322 cm^3/mol, checked 2026\-09\-26\)\: an outlier, a check only\. The 546\.22 nm isotherm \(10\.9680 w\) is 0\.25 % below the 633 nm mean, which the authors read as anomalous dispersion in the visible \(p\. 124\); fit/SF6 has normal dispersion there \(11\.362 at 546\.22 nm, \+0\.35 % over 633 nm\), and the difference is within the scatter of the 633 nm isotherms \(standard deviation 0\.38 %\)\. Their supporting argument, the higher static A\_eps\(323 K\) = 16\.478 cm^3/mol of Sutter \(\[17\]; inline dataset A\_eps\_sutter\_SF6\), reflects SF6's large vibrational polarizability, not optical dispersion\. Not extracted\: C2H4 and C2H6 \(not curated species; their means 10\.567\(38\), 10\.571\(95\) and 11\.159\(41\), 11\.163\(43\), against 10\.610\(9\) \[22\] and 11\.26 \[3\]\); A\_2\-A\_4, B and C of Table I; Table II \(fits of C\(T\), Eq\. 14\); Figs\. 1\-4\. **Recorded bibliographic identity status:** VALIDATED\_WITH\_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- hausler\_1988/A\_1\_w\_257\_42K\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_w_257_42K_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_w_257_42K_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 257.42 } } Table I \(p\. 122\), SF6 isotherm 257\.42\(13\) K, p\_max 7\.94e5 Pa, K = 12\: A\_1 of the weighted \(w\_k = p\_k\) fit, standard deviation of the last digits in the sigma column\. hausler\_1988/A\_1\_uw\_257\_42K\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_uw_257_42K_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_uw_257_42K_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 257.42 } } Table I \(p\. 122\), SF6 isotherm 257\.42\(13\) K, p\_max 7\.94e5 Pa, K = 12\: A\_1 of the unweighted fit, standard deviation of the last digits in the sigma column\. hausler\_1988/A\_1\_w\_268\_86K\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_w_268_86K_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_w_268_86K_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 268.86 } } Table I \(p\. 122\), SF6 isotherm 268\.86\(1\) K, p\_max 10\.95e5 Pa, K = 14\: A\_1 of the weighted \(w\_k = p\_k\) fit, standard deviation of the last digits in the sigma column\. hausler\_1988/A\_1\_uw\_268\_86K\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_uw_268_86K_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_uw_268_86K_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 268.86 } } Table I \(p\. 122\), SF6 isotherm 268\.86\(1\) K, p\_max 10\.95e5 Pa, K = 14\: A\_1 of the unweighted fit, standard deviation of the last digits in the sigma column\. hausler\_1988/A\_1\_w\_282\_61K\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_w_282_61K_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_w_282_61K_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 282.61 } } Table I \(p\. 122\), SF6 isotherm 282\.61\(1\) K, p\_max 15\.11e5 Pa, K = 18\: A\_1 of the weighted \(w\_k = p\_k\) fit, standard deviation of the last digits in the sigma column\. hausler\_1988/A\_1\_uw\_282\_61K\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_uw_282_61K_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_uw_282_61K_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 282.61 } } Table I \(p\. 122\), SF6 isotherm 282\.61\(1\) K, p\_max 15\.11e5 Pa, K = 18\: A\_1 of the unweighted fit, standard deviation of the last digits in the sigma column\. hausler\_1988/A\_1\_w\_298\_31K\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_w_298_31K_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_w_298_31K_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 298.31 } } Table I \(p\. 122\), SF6 isotherm 298\.31\(1\) K, p\_max 22\.44e5 Pa, K = 20\: A\_1 of the weighted \(w\_k = p\_k\) fit, standard deviation of the last digits in the sigma column\. hausler\_1988/A\_1\_uw\_298\_31K\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_uw_298_31K_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_uw_298_31K_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 298.31 } } Table I \(p\. 122\), SF6 isotherm 298\.31\(1\) K, p\_max 22\.44e5 Pa, K = 20\: A\_1 of the unweighted fit, standard deviation of the last digits in the sigma column\. hausler\_1988/A\_1\_w\_298\_32K\_hg\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_w_298_32K_hg_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_w_298_32K_hg_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 298.32 } } Table I \(p\. 122\), SF6 isotherm 298\.32\(1\) K at 546\.22 nm \(note a; 546\.226 nm in the text, p\. 124\), p\_max 17\.19e5 Pa, K = 13\: A\_1 of the weighted \(w\_k = p\_k\) fit, standard deviation of the last digits in the sigma column\. Not in the authors' 633 nm means; the authors read its lower value as 'anomalous dispersion' of SF6 in the visible \(p\. 124\), which the other SF6 data do not support \(record notes\)\. hausler\_1988/A\_1\_uw\_298\_32K\_hg\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_uw_298_32K_hg_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_uw_298_32K_hg_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 298.32 } } Table I \(p\. 122\), SF6 isotherm 298\.32\(1\) K at 546\.22 nm \(note a; 546\.226 nm in the text, p\. 124\), p\_max 17\.19e5 Pa, K = 13\: A\_1 of the unweighted fit, standard deviation of the last digits in the sigma column\. Not in the authors' 633 nm means; the authors read its lower value as 'anomalous dispersion' of SF6 in the visible \(p\. 124\), which the other SF6 data do not support \(record notes\)\. hausler\_1988/A\_1\_w\_318\_04K\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_w_318_04K_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_w_318_04K_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 318.04 } } Table I \(p\. 122\), SF6 isotherm 318\.04\(1\) K, p\_max 23\.47e5 Pa, K = 28\: A\_1 of the weighted \(w\_k = p\_k\) fit, standard deviation of the last digits in the sigma column\. hausler\_1988/A\_1\_uw\_318\_04K\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_uw_318_04K_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_uw_318_04K_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 318.04 } } Table I \(p\. 122\), SF6 isotherm 318\.04\(1\) K, p\_max 23\.47e5 Pa, K = 28\: A\_1 of the unweighted fit, standard deviation of the last digits in the sigma column\. hausler\_1988/A\_1\_w\_337\_73K\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_w_337_73K_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_w_337_73K_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "excluded", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 337.73 } } Table I \(p\. 122\), SF6 isotherm 337\.73\(1\) K, p\_max 20\.85e5 Pa, K = 20\: A\_1 of the weighted \(w\_k = p\_k\) fit, standard deviation of the last digits in the sigma column\. Excluded\: 'the obvious bad value 10\.8477 in Table I at 337 K was not considered' in the authors' means \(p\. 124\)\. hausler\_1988/A\_1\_uw\_337\_73K\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_uw_337_73K_SF6", "material": "SF6", "file": "SF6/hausler_1988__A_1_uw_337_73K_SF6.csv", "table": "tbl_e56cd39cc6f5", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "excluded", "uncertainty": { "column": true, "level": "1 sigma" }, "parameters": { "temperature_k": 337.73 } } Table I \(p\. 122\), SF6 isotherm 337\.73\(1\) K, p\_max 20\.85e5 Pa, K = 20\: A\_1 of the unweighted fit, standard deviation of the last digits in the sigma column\. Excluded\: the authors leave the 337 K isotherm out of both means \(p\. 124; the unweighted mean 10\.995 is that of the other five\)\. hausler\_1988/A\_1\_mean\_w\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_mean_w_SF6", "material": "SF6", "table": "text", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" } } 1 inline points in the source record. p\. 124\: the average of the weighted A\_1 \(633 nm\) of SF6, 10\.995\(42\) cm^3/mol, over the five isotherms 257\-318 K \(337 K left out\); the parenthesised figure is the sample standard deviation of the values \(checked\)\. 3\.1 % below st\_arnaud\_1979's 11\.348\(21\)\. hausler\_1988/A\_1\_mean\_uw\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_1_mean_uw_SF6", "material": "SF6", "table": "text", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "1 sigma" } } 1 inline points in the source record. p\. 124\: the average of the unweighted A\_1 \(633 nm\) of SF6, 10\.995\(36\) cm^3/mol, over the same five isotherms; the sample standard deviation of the values \(checked\)\. hausler\_1988/A\_eps\_sutter\_SF6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "A_eps_sutter_SF6", "material": "SF6", "table": "text", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "nm", "use": "reproduced", "reproduced_from": [ "H. Sutter, Dielectr. Relat. Mol. Process. 1, 66 (1972)" ], "parameters": { "temperature_k": 323 } } 1 inline points in the source record. p\. 124\: 'the even higher first dielectric virial coefficient A\_eps\(323 K\) = 16\.478 cm^3 mol^\-1 \[17\]' \(static, no uncertainty given here\)\. 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.