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 · Catalogue · 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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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#
{
"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 review register for the checks and decisions.