hourri_1997#
A. Hourri, J. M. St-Arnaud and T. K. Bose, “Dielectric and pressure virial coefficients of imperfect gases: CO2-SF6 mixtures”, J. Chem. Phys. 106, 1780 (1997)
Source record · Catalogue · Review register
DOI: 10.1063/1.473317
Source kind: measurement
Recorded technique: Static dielectric constant of five CO2-SF6 mixtures at 322.85 K: capacitance bridge at 1 kHz (Andeen-Hagerling 2500A, 5e-6 pF), stainless-steel gold-plated cells (compressibility correction kappa = 2e-8 MPa^-1) in a bath controlled to 10 mK (Pt thermometer). A_eps and B_p from absolute measurements to 1.4 MPa (quartz transducer, 0.01 %, against a 0.005 % standard), CM RT/P against CM (Eq. 7); B_eps and C_eps from the differential expansion technique of Buckingham, Cole and Sutter (two cells, Eq. 8, slope and curvature). Mixtures by weighing, checked by gas chromatography; CO2 and SF6 99.9 % minimum purity (pp. 3-4).
Materials in structured entries: CO2, SF6
Dataset quantities: molar_refractivity, refractivity_virial_coefficient
Contents: 5 datasets; 0 formulas.
Curation notes#
Identity checked against the first page (pdf page 1 is the publisher’s cover; journal pp. 1780-1785 = pdf pages 2-7). Page numbers below are pdf pages.
SCOPE. The mixtures are not curated species: only the pure-gas rows of Table I and the pure-SF6 B_eps of the text are recorded. Table I’s pure rows are reprints: ‘The pure components values are from the literature’ (caption, p. 5), SF6 A_eps from Ref. 4 (Hosticka and Bose 1974 = hosticka_1974), CO2 A_eps, B_eps, C_eps from Ref. 10 (Bose and Cole 1970 = bose_1970); both originals re-pointed 2026-09-27 (323.3 K and 49.7 degrees C). Their temperatures are not stated here (the table is ‘at 322.85 K’ for this work); the CO2 B_eps, 50.7 +- 0.9, is the Bose and Cole value that achtermann_1991 reprints at 322.9 K (B_eps_bose_cole_1970_322.9_CO2).
THE STATIC QUANTITIES. CM/rho = A_eps + B_eps rho + C_eps rho^2 (Eq. 1), the static (1 kHz) Clausius-Mossotti expansion; for these non-polar gases A_eps = (4 pi N_A/3) alpha (Eq. 4), the electronic plus vibrational static polarizability (SF6’s vibrational part is large: about 14 au of 44, hohm_2013). B_eps = B_OR + B_IR + B_R (Eq. 10): the orientation part (from the hexadecapole of SF6), the vibrational (infrared) induction part (B_IR = 24.2 cm^6/mol^2 for SF6, Birnbaum and Bose, Eq. 13) and the optical refractivity virial B_R, so B_eps is not an optical refractivity virial.
UNCERTAINTY. ‘The uncertainties indicated are three standard deviations from the best least squares fit’ (p. 4), for this work’s values; the text’s B_eps11 = 65.14 +- 1.80 is stored as ‘3 sigma’. The level of the literature reprints is not stated here.
TEXT VALUES (pp. 4-6). Pure SF6: ‘Our value of B_eps11 = 65.14 +- 1.80 cm^6/mol^2, obtained from the intercept, agrees well with the literature values’ (p. 4; the intercept at X = 0 of the mixtures’ B_eps against the CO2 mole fraction, Eq. 3): recorded inline (B_eps_SF6). B_OR(SF6) = 18.24 +- 2.20 = 65.14 - 24.2 - 22.7 (p. 5), giving the SF6 hexadecapole moment 10.75 +- 0.75 e-42 esu cm^4 (abstract; Lennard-Jones (7-28) sigma = 0.468 nm, eps/k = 439 K; alpha(SF6) = 6.558e-24 cm^3). Reprinted from Achtermann et al. 1991 (Ref. 28; achtermann_1991): B_R = 22.7 +- 0.5 (SF6) and 1.9 +- 0.2 cm^6/mol^2 (CO2), A_R = 6.644 +- 0.002 (CO2) and 11.323 +- 0.002 cm^3/mol (SF6) (pp. 5-6; not recorded again). Table II: alpha = 2.913 +- 0.002 (CO2, Ref. 10) and 6.558 +- 0.007 e-24 cm^3 (SF6, Ref. 4), the reprinted A_eps divided by 4 pi N_A/3 (7.350 -> 2.9135, 16.543 -> 6.5576, computed 2026-09-26); Lennard-Jones (6-12) parameters eps/k 218.8, 225.36, 222.06 K and sigma 3.819, 5.16, 4.489 Angstrom (CO2, SF6, mixed).
Not extracted (mixtures or no quantity): the mixture rows of Table I (X = 0.105-0.902, A_eps, B_eps, C_eps, B_p); B_eps12 + B_eps21 = 109.86 +- 2.40 cm^6/mol^2, B_p12 = -146.15 +- 6.33 cm^3/mol (Kielich: -151.70), B_R12 = 6.57 +- 0.42 (geometric mean), B_IR (mixture) = 6.49, B_OR = 90.23 +- 3.29 cm^6/mol^2; the CO2 quadrupole moment (4.48 +- 0.30) e-26 esu cm^2 and Table III’s terms; the pure B_p (SF6 -229.12, extrapolated from Ref. 25; CO2 -102.37, from Ref. 24).
Hazards of the extraction: in Table I ‘±’ extracts as ‘6’ and a leading minus as ‘2’ (e.g. ‘2205.2260.24’ for -205.22 +- 0.24); fixed in the script for the cells used, checked against the image.
Recorded bibliographic identity status: VALIDATED. This concerns identification of the source; it does not establish the scientific correctness of its contents.
Datasets#
hourri_1997/A_eps_hosticka_SF6#
{
"id": "A_eps_hosticka_SF6",
"material": "SF6",
"file": "SF6/hourri_1997__A_eps_hosticka_SF6.csv",
"table": "tbl_d52ac5f743cd",
"quantity": "molar_refractivity",
"unit": "cm3/mol",
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"hosticka_1974"
],
"uncertainty": {
"column": true,
"level": "3 sigma"
},
"parameters": {
"includes": "electronic + vibrational static polarizability"
}
}
Table I, mole fraction of CO2 0: A_eps = 16.543 +- 0.017 cm^3/mol (footnote a, Reference 4, Hosticka and Bose 1974 = hosticka_1974, re-pointed 2026-09-27): the static molar polarization of SF6, electronic plus vibrational; the original’s 323.3 K value, digit for digit (checked). The ‘±’ extracts as ‘6’ (structural fix). The original’s errors are three standard deviations: level corrected to ‘3 sigma’.
hourri_1997/A_eps_bose_cole_CO2#
{
"id": "A_eps_bose_cole_CO2",
"material": "CO2",
"file": "CO2/hourri_1997__A_eps_bose_cole_CO2.csv",
"table": "tbl_d52ac5f743cd",
"quantity": "molar_refractivity",
"unit": "cm3/mol",
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"bose_1970"
],
"uncertainty": {
"column": true,
"level": "3 sigma"
},
"parameters": {
"includes": "electronic + vibrational static polarizability"
}
}
Table I, mole fraction of CO2 1: A_eps = 7.350 +- 0.006 cm^3/mol (footnote c, Reference 10, Bose and Cole 1970 = bose_1970, re-pointed 2026-09-27): static, electronic plus vibrational; the original’s 49.7 degrees C (322.85 K) value, digit for digit (checked). The original’s errors are three standard deviations: level corrected to ‘3 sigma’.
hourri_1997/B_eps_bose_cole_CO2#
{
"id": "B_eps_bose_cole_CO2",
"material": "CO2",
"file": "CO2/hourri_1997__B_eps_bose_cole_CO2.csv",
"table": "tbl_d52ac5f743cd",
"quantity": "refractivity_virial_coefficient",
"unit": "cm6/mol2",
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"bose_1970"
],
"uncertainty": {
"column": true,
"level": "3 sigma"
},
"parameters": {
"order": 2
}
}
Table I, pure CO2: B_eps = 50.7 +- 0.9 cm^6/mol^2 (Reference 10, Bose and Cole 1970 = bose_1970, re-pointed 2026-09-27; the original prints 50.7 +- 0.93 at 49.7 degrees C): the STATIC DIELECTRIC second virial coefficient, dominated by the quadrupole-induced orientation term, not the optical B_R (1.9 +- 0.2 by achtermann_1991). The same reprint as achtermann_1991’s B_eps_bose_cole_1970_322.9_CO2 (322.9 K). The original’s errors are three standard deviations: level corrected to ‘3 sigma’.
hourri_1997/C_eps_bose_cole_CO2#
{
"id": "C_eps_bose_cole_CO2",
"material": "CO2",
"file": "CO2/hourri_1997__C_eps_bose_cole_CO2.csv",
"table": "tbl_d52ac5f743cd",
"quantity": "refractivity_virial_coefficient",
"unit": "cm9/mol3",
"abscissa_unit": "nm",
"use": "reproduced",
"reproduced_from": [
"bose_1970"
],
"uncertainty": {
"column": true,
"level": "3 sigma"
},
"parameters": {
"order": 3
}
}
Table I, pure CO2: C_eps = -2515 +- 235 cm^9/mol^3 (Reference 10 = bose_1970, re-pointed 2026-09-27; its 49.7 degrees C value, digit for digit; the minus extracts as a leading ‘2’, the ‘±’ as ‘6’: structural fix). The static dielectric third virial coefficient. The original’s errors are three standard deviations: level corrected to ‘3 sigma’.
hourri_1997/B_eps_SF6#
{
"id": "B_eps_SF6",
"material": "SF6",
"table": "text",
"quantity": "refractivity_virial_coefficient",
"unit": "cm6/mol2",
"abscissa_unit": "nm",
"use": "check",
"uncertainty": {
"column": true,
"level": "3 sigma"
},
"parameters": {
"order": 2,
"temperature_k": 322.85
}
}
1 inline points in the source record.
p. 4 (repeated p. 5): ‘Our value of B_eps11 = 65.14 +- 1.80 cm^6/mol^2, obtained from the intercept’, the pure-SF6 limit (X = 0) of the mixtures’ B_eps against the CO2 mole fraction (Eq. 3), at 322.85 K. The STATIC DIELECTRIC second virial coefficient: B_eps = B_OR + B_IR + B_R = 18.24 + 24.2 + 22.7 by the authors (p. 5); not the optical B_R. achtermann_1991 reprints Hosticka and Bose’s 63.31 +- 2.80 at 323.3 K. Three standard deviations (p. 4).
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.