hohm_1994c#

U. Hohm and U. Trümper, “Temperature dependence of the dipole polarizability of xenon (1S0) due to dynamic non-resonant Stark effect caused by black-body radiation”, Chem. Phys. 189, 443 (1994)

Source record · Catalogue · Review register

DOI: 10.1016/0301-0104(94)00296-7

Source kind: measurement

Recorded technique: The evacuated high-temperature Michelson interferometer of Hohm and Kerl (Meas. Sci. Technol. 1, 329 (1990); hohm_1990), quartz sample cell, 290-1100 K; four sources at once, He-Ne lasers at the vacuum wavelengths 632.99, 594.096 and 543.516 nm and a He-Cd laser at 325.13 nm (at most 2 mW, ‘to exclude non-linear effects’). At each temperature 4-8 isothermal measurements between 1e4 and 5e5 Pa, up to 24 pressure points each; the polarizabilities follow from the Fourier transform of the pressure-dependent interferograms (hohm_1990b, hohm_1993), extrapolated to zero density (Eq. 9). Xenon purity better than 99.99 % (Linde) (pp. 444-445).

Materials in structured entries: Xe

Dataset quantities: cauchy_moment, polarizability

Contents: 12 datasets; 6 formulas.

Curation notes#

Identity checked against the first page (Chem. Phys. 189 (1994) 443-449, received 1 August 1994). Page numbers are the journal’s: p. = pdf page + 442. The paper olney_1997 cites as Ref. [102] for the xenon polarizability its S(-2) was renormalised to.

WHAT THE VALUES ARE (pp. 444-446). alpha(omega, T_k) = lim_(p -> 0) [(n^2 - 1)/(n^2 + 2)] (3/4 pi) (k_B T_k/p)/a0^3 (Eq. 9): the polarizability of the free atom in atomic units (a0^3, i.e. 4 pi eps0 a0^3), at the four frequencies of the table’s note, omega_1 = 0.07198116, omega_2 = 0.07669359, omega_3 = 0.08383075, omega_4 = 0.1401389 au (the text’s 632.99, 594.096, 543.516 and 325.13 nm, vacuum wavelengths; 45.563353/lambda(nm) reproduces the printed omegas). No state: zero-density values. Each is ‘the arithmetic mean of 4 to 8 independent measurements; the errors given in parentheses are the statistical rms errors’ (pp. 445-446, and Table 1’s note a). Uncertainty budget (p. 445): Delta p/p < 5e-4, Delta T/T < 2e-4, Delta N/N < 1e-4, Delta l/l < 1.7e-4, Delta lambda/lambda < 1.5e-5 ‘would yield an overall uncertainty in the polarizability of Delta alpha/alpha < 10^-3’; the pressure error cancels in the extrapolation, and the cell length and wavelength errors are common to all data, so for relative changes ‘the remaining uncertainty is determined by Delta T and Delta N and results in Delta alpha/alpha ~ 3 x 10^-4’; ‘the absolute uncertainty is at least in the order of Delta alpha ~ 0.008 au’. Recorded: the rms errors as the per-point sigma, and 0.008 au/27.8 au = 3e-4 as a systematic relative uncertainty common to all points (its level is not stated; ‘at least’ is the paper’s word).

TEMPERATURE DEPENDENCE. ‘An increase of Delta alpha/alpha ~ 0.2 %/1000 K has been detected, which increases slightly with the frequency omega of the measuring light’ (abstract), attributed to the dynamic non-resonant Stark shift of the atomic levels by black-body radiation: alpha(0, T) = S0(-2) + C S0(-4) T^2 + D S0(-6) T^4 + ... (Eq. 12, C = 40 (pi k_B/E_H)^2/21 = 1.885340e-10 K^-2, D = 8 (pi k_B/E_H)^4 = 7.837694e-20 K^-4 for alpha and omega in au; computed from the paper’s k_B and E_H: 1.885341e-10 and 7.837695e-20, as printed). The measured b1 exceeds the Eq. (16) prediction by a factor R(omega) = 1.57-1.62 (p. 448), ‘a little bit outside their error limits’ (p. 447); the authors suspect their measured temperature dependence is too large by R(0) (p. 448). Table 1’s values are flat to +-0.01 au up to 666 K and rise by about 0.035 au above 760 K (Fig. 1, not digitised).

DIPOLE SUMS (p. 447, dataset dipole_sums_Xe): S0(-2) = 27.120(8), S0(-4) = 127.36(89), S0(-6) = 860(12), S0(-8) = 6407(602), ‘obtained with a special fitting procedure from our zero-temperature limits alpha(omega, 0) [21, 25]’ (Hohm, Mol. Phys. 78, 929 (1993) = hohm_1993; Hohm, Z. Naturforsch. A 48, 878 (1993), not in the library). The Eq. (16) predictions of Table 2 use instead Kumar and Meath’s (1985) room-temperature S(-2k), k = 1-5 (kumar_1985: C S(-4) = 1.88534e-10 x 129.6 = 2.443e-8 K^-2, the printed 2.44; at omega_1, 2.506e-8, the printed 2.50; checked).

COMPARISONS (computed 2026-09-27). At 294.26 K and 632.99 nm, 27.808(17) au = 4.1207 angstrom^3, against hohm_1990’s 300-1100 K mean 4.1217(40) angstrom^3 = 27.815 au (-0.02 %), and against hohm_1994b’s 27.8952(71) au at 293.60 K (-0.31 %; at 325.13 nm 30.015 against 30.1116, -0.32 %; at 594.096 and 543.516 nm -0.31 % and -0.31 %): the same laboratory, the same method, the same year, and a 0.3 % difference, 11 times this paper’s stated absolute uncertainty and 12 times hohm_1994b’s printed one. hohm_1994b’s xenon is +0.47 % above optmat’s fit/Xe at 633 nm (its record’s notes), so this paper’s room-temperature values lie about +0.16 % above it. The dispersion alpha(omega_4) - alpha(omega_1) agrees: 2.207 here, 2.2164 in hohm_1994b. olney_1997 (Table 1 note n) prints 27.124 for this paper’s xenon value and uses 27.12 as S(-2): the 294.26 K alpha(omega -> 0) = 27.1239(6), or S0(-2) = 27.120(8).

NOT EXTRACTED: Fig. 1 (alpha(0, T) with Eq. (14)’s fit and Eq. (13)’s theory curve), Fig. 2 (Delta alpha(T) = alpha(omega_4, T) - alpha(omega_1, T), formula eq_delta_alpha), the theory of Section 2 (Eqs. 1-8, 10-13, 15-16; Eqs. 14-16 are the formulas below).

Recorded bibliographic identity status: VALIDATED_WITH_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents.

Datasets#

hohm_1994c/alpha_294.26_Xe#

{
  "id": "alpha_294.26_Xe",
  "material": "Xe",
  "file": "Xe/hohm_1994c__alpha_294.26_Xe.csv",
  "table": "tbl_080bc44cea27",
  "quantity": "polarizability",
  "unit": "au",
  "abscissa_unit": "hartree",
  "wavelength_medium": "vacuum",
  "use": "primary",
  "uncertainty": {
    "column": true,
    "level": "rms",
    "systematic_relative": 0.0003
  },
  "parameters": {
    "temperature_k": 294.26
  }
}

Table 1 (p. 446) at 294.26 K (the room-temperature measurement): alpha(omega_k, T) at the vacuum wavelengths 632.99, 594.096, 543.516 and 325.13 nm (omega in hartree as printed in the table’s note), the mean of 4-8 independent measurements, each extrapolated to zero density (Eq. 9). Sigma: the statistical rms error printed on the last digits; the absolute uncertainty is ‘at least ~ 0.008 au’ (about 3e-4, common to all points and temperatures: the systematic part).

hohm_1994c/alpha_387.11_Xe#

{
  "id": "alpha_387.11_Xe",
  "material": "Xe",
  "file": "Xe/hohm_1994c__alpha_387.11_Xe.csv",
  "table": "tbl_080bc44cea27",
  "quantity": "polarizability",
  "unit": "au",
  "abscissa_unit": "hartree",
  "wavelength_medium": "vacuum",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "rms",
    "systematic_relative": 0.0003
  },
  "parameters": {
    "temperature_k": 387.11
  }
}

Table 1 (p. 446) at 387.11 K (a high-temperature point of the temperature series (its use is decided at review)): alpha(omega_k, T) at the vacuum wavelengths 632.99, 594.096, 543.516 and 325.13 nm (omega in hartree as printed in the table’s note), the mean of 4-8 independent measurements, each extrapolated to zero density (Eq. 9). Sigma: the statistical rms error printed on the last digits; the absolute uncertainty is ‘at least ~ 0.008 au’ (about 3e-4, common to all points and temperatures: the systematic part).

hohm_1994c/alpha_477.88_Xe#

{
  "id": "alpha_477.88_Xe",
  "material": "Xe",
  "file": "Xe/hohm_1994c__alpha_477.88_Xe.csv",
  "table": "tbl_080bc44cea27",
  "quantity": "polarizability",
  "unit": "au",
  "abscissa_unit": "hartree",
  "wavelength_medium": "vacuum",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "rms",
    "systematic_relative": 0.0003
  },
  "parameters": {
    "temperature_k": 477.88
  }
}

Table 1 (p. 446) at 477.88 K (a high-temperature point of the temperature series (its use is decided at review)): alpha(omega_k, T) at the vacuum wavelengths 632.99, 594.096, 543.516 and 325.13 nm (omega in hartree as printed in the table’s note), the mean of 4-8 independent measurements, each extrapolated to zero density (Eq. 9). Sigma: the statistical rms error printed on the last digits; the absolute uncertainty is ‘at least ~ 0.008 au’ (about 3e-4, common to all points and temperatures: the systematic part).

hohm_1994c/alpha_564.57_Xe#

{
  "id": "alpha_564.57_Xe",
  "material": "Xe",
  "file": "Xe/hohm_1994c__alpha_564.57_Xe.csv",
  "table": "tbl_080bc44cea27",
  "quantity": "polarizability",
  "unit": "au",
  "abscissa_unit": "hartree",
  "wavelength_medium": "vacuum",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "rms",
    "systematic_relative": 0.0003
  },
  "parameters": {
    "temperature_k": 564.57
  }
}

Table 1 (p. 446) at 564.57 K (a high-temperature point of the temperature series (its use is decided at review)): alpha(omega_k, T) at the vacuum wavelengths 632.99, 594.096, 543.516 and 325.13 nm (omega in hartree as printed in the table’s note), the mean of 4-8 independent measurements, each extrapolated to zero density (Eq. 9). Sigma: the statistical rms error printed on the last digits; the absolute uncertainty is ‘at least ~ 0.008 au’ (about 3e-4, common to all points and temperatures: the systematic part).

hohm_1994c/alpha_665.73_Xe#

{
  "id": "alpha_665.73_Xe",
  "material": "Xe",
  "file": "Xe/hohm_1994c__alpha_665.73_Xe.csv",
  "table": "tbl_080bc44cea27",
  "quantity": "polarizability",
  "unit": "au",
  "abscissa_unit": "hartree",
  "wavelength_medium": "vacuum",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "rms",
    "systematic_relative": 0.0003
  },
  "parameters": {
    "temperature_k": 665.73
  }
}

Table 1 (p. 446) at 665.73 K (a high-temperature point of the temperature series (its use is decided at review)): alpha(omega_k, T) at the vacuum wavelengths 632.99, 594.096, 543.516 and 325.13 nm (omega in hartree as printed in the table’s note), the mean of 4-8 independent measurements, each extrapolated to zero density (Eq. 9). Sigma: the statistical rms error printed on the last digits; the absolute uncertainty is ‘at least ~ 0.008 au’ (about 3e-4, common to all points and temperatures: the systematic part).

hohm_1994c/alpha_762.24_Xe#

{
  "id": "alpha_762.24_Xe",
  "material": "Xe",
  "file": "Xe/hohm_1994c__alpha_762.24_Xe.csv",
  "table": "tbl_080bc44cea27",
  "quantity": "polarizability",
  "unit": "au",
  "abscissa_unit": "hartree",
  "wavelength_medium": "vacuum",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "rms",
    "systematic_relative": 0.0003
  },
  "parameters": {
    "temperature_k": 762.24
  }
}

Table 1 (p. 446) at 762.24 K (a high-temperature point of the temperature series (its use is decided at review)): alpha(omega_k, T) at the vacuum wavelengths 632.99, 594.096, 543.516 and 325.13 nm (omega in hartree as printed in the table’s note), the mean of 4-8 independent measurements, each extrapolated to zero density (Eq. 9). Sigma: the statistical rms error printed on the last digits; the absolute uncertainty is ‘at least ~ 0.008 au’ (about 3e-4, common to all points and temperatures: the systematic part).

hohm_1994c/alpha_859.09_Xe#

{
  "id": "alpha_859.09_Xe",
  "material": "Xe",
  "file": "Xe/hohm_1994c__alpha_859.09_Xe.csv",
  "table": "tbl_080bc44cea27",
  "quantity": "polarizability",
  "unit": "au",
  "abscissa_unit": "hartree",
  "wavelength_medium": "vacuum",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "rms",
    "systematic_relative": 0.0003
  },
  "parameters": {
    "temperature_k": 859.09
  }
}

Table 1 (p. 446) at 859.09 K (a high-temperature point of the temperature series (its use is decided at review)): alpha(omega_k, T) at the vacuum wavelengths 632.99, 594.096, 543.516 and 325.13 nm (omega in hartree as printed in the table’s note), the mean of 4-8 independent measurements, each extrapolated to zero density (Eq. 9). Sigma: the statistical rms error printed on the last digits; the absolute uncertainty is ‘at least ~ 0.008 au’ (about 3e-4, common to all points and temperatures: the systematic part).

hohm_1994c/alpha_965.00_Xe#

{
  "id": "alpha_965.00_Xe",
  "material": "Xe",
  "file": "Xe/hohm_1994c__alpha_965.00_Xe.csv",
  "table": "tbl_080bc44cea27",
  "quantity": "polarizability",
  "unit": "au",
  "abscissa_unit": "hartree",
  "wavelength_medium": "vacuum",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "rms",
    "systematic_relative": 0.0003
  },
  "parameters": {
    "temperature_k": 965
  }
}

Table 1 (p. 446) at 965.00 K (a high-temperature point of the temperature series (its use is decided at review)): alpha(omega_k, T) at the vacuum wavelengths 632.99, 594.096, 543.516 and 325.13 nm (omega in hartree as printed in the table’s note), the mean of 4-8 independent measurements, each extrapolated to zero density (Eq. 9). Sigma: the statistical rms error printed on the last digits; the absolute uncertainty is ‘at least ~ 0.008 au’ (about 3e-4, common to all points and temperatures: the systematic part).

hohm_1994c/alpha_1079.69_Xe#

{
  "id": "alpha_1079.69_Xe",
  "material": "Xe",
  "file": "Xe/hohm_1994c__alpha_1079.69_Xe.csv",
  "table": "tbl_080bc44cea27",
  "quantity": "polarizability",
  "unit": "au",
  "abscissa_unit": "hartree",
  "wavelength_medium": "vacuum",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "rms",
    "systematic_relative": 0.0003
  },
  "parameters": {
    "temperature_k": 1079.69
  }
}

Table 1 (p. 446) at 1079.69 K (a high-temperature point of the temperature series (its use is decided at review)): alpha(omega_k, T) at the vacuum wavelengths 632.99, 594.096, 543.516 and 325.13 nm (omega in hartree as printed in the table’s note), the mean of 4-8 independent measurements, each extrapolated to zero density (Eq. 9). Sigma: the statistical rms error printed on the last digits; the absolute uncertainty is ‘at least ~ 0.008 au’ (about 3e-4, common to all points and temperatures: the systematic part).

hohm_1994c/alpha_static_T_Xe#

{
  "id": "alpha_static_T_Xe",
  "material": "Xe",
  "file": "Xe/hohm_1994c__alpha_static_T_Xe.csv",
  "table": "tbl_080bc44cea27",
  "quantity": "polarizability",
  "unit": "au",
  "abscissa_unit": "hartree",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "rms",
    "systematic_relative": 0.0003
  },
  "parameters": {
    "temperature_range_k": "294.26-1079.69"
  }
}

Table 1 (p. 446), column alpha(omega -> 0): the static polarizability ‘obtained by extrapolation of alpha(omega, T) with a Cauchy-type dispersion formula’ (p. 445) from the four measured frequencies, at 294.26-1079.69 K (row = temperature in K; abscissa 0 = static). Sigma: the statistical rms error on the last digits (much smaller than the measured points’, the extrapolation’s scatter only). Not independent of the alpha_<T>_Xe datasets.

hohm_1994c/b0_Xe#

{
  "id": "b0_Xe",
  "material": "Xe",
  "file": "Xe/hohm_1994c__b0_Xe.csv",
  "table": "tbl_5107ed7c9cd1",
  "quantity": "polarizability",
  "unit": "au",
  "abscissa_unit": "hartree",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  },
  "parameters": {
    "temperature_k": 0
  }
}

Table 2 (p. 447), b0(omega): the intercept of the fit alpha(omega_k, T) = b0 + b1 T^2 (Eq. 14) to Table 1’s nine temperatures at each frequency (and the static column, row 0), i.e. the polarizability extrapolated to T = 0 K in the authors’ black-body-Stark model. Uncertainty on the last digits, level not stated (the fits’ errors). Derived from Table 1: not independent of it. The formulas eq14_* hold b0 with b1.

hohm_1994c/dipole_sums_Xe#

{
  "id": "dipole_sums_Xe",
  "material": "Xe",
  "table": "text",
  "quantity": "cauchy_moment",
  "unit": "au",
  "abscissa": "order",
  "abscissa_unit": "1",
  "use": "check",
  "uncertainty": {
    "column": true,
    "level": "not stated"
  }
}

4 inline points in the source record.

p. 447: ‘our zero-temperature dipole sums S0(-2) = 27.120(8), S0(-4) = 127.36(89), S0(-6) = 860(12) and S0(-8) = 6407(602), which are obtained with a special fitting procedure from our zero-temperature limits alpha(omega, 0) [21, 25]’ (hohm_1993; Hohm, Z. Naturforsch. A 48, 878 (1993), not in the library): refraction-derived Cauchy moments of the zero-temperature polarizability. Uncertainties on the last digits, level not stated. ‘Reliable values from our zero-temperature data are only obtainable for S0(-2), S0(-4) and S0(-6)’ (p. 447). Against kumar_1985’s DOSD S(-2) 27.16, S(-4) 129.6, S(-6) 824.7, S(-8) 6227.

Formulas#

hohm_1994c/eq14_0#

{
  "id": "eq14_0",
  "material": "Xe",
  "equation": "Eq. (14), p. 448, with Table 2 (p. 447) (row omega = 0)",
  "printed": "alpha(omega, T) = b0(omega) + b1(omega) T^2; omega = 0: b0 = 27.1196(73) au, 10^8 b1 = 3.91(1.2) K^-2; Eq. (16) theory 10^8 b1 = 2.44 K^-2",
  "variable": "T: temperature in K; alpha in atomic units; omega = 0: the static polarizability (Table 1's extrapolated alpha(omega -> 0))",
  "range": "294-1080 K",
  "coefficients": {
    "b0": "27.1196",
    "b0_sigma": "0.0073",
    "b1": "3.91e-8",
    "b1_sigma": "1.2e-8",
    "b1_theory": "2.44e-8"
  },
  "check": "At 294.26 K gives 27.1230 against Table 1's 27.1239(6); at 1079.69 K 27.1652 against 27.1591(30). The theoretical b1 = C S(-4) = 1.88534e-10 x 129.6 (kumar_1985) = 2.443e-8, the printed 2.44. Checked 2026-09-27."
}

Least-squares fit of the nine alpha(omega -> 0, T) of Table 1 against T^2 (Fig. 1, full line). b1_theory: Eq. (16) (Eq. 13 at omega = 0), C S0(-4), with Kumar and Meath’s room-temperature dipole sums. The ratio R(0) = 3.91/2.44 = 1.60: the authors think their measured temperature dependence is likely too large by this factor (p. 448). The rms errors of the fits are large (p. 447).

hohm_1994c/eq14_omega1#

{
  "id": "eq14_omega1",
  "material": "Xe",
  "equation": "Eq. (14), p. 448, with Table 2 (p. 447) (row omega = 0.07198116 au)",
  "printed": "alpha(omega, T) = b0(omega) + b1(omega) T^2; omega = 0.07198116 au: b0 = 27.8029(75) au, 10^8 b1 = 3.92(1.2) K^-2; Eq. (16) theory 10^8 b1 = 2.50 K^-2",
  "variable": "T: temperature in K; alpha in atomic units at omega_1 = 0.07198116 au (632.99 nm, vacuum)",
  "range": "294-1080 K",
  "coefficients": {
    "b0": "27.8029",
    "b0_sigma": "0.0075",
    "b1": "3.92e-8",
    "b1_sigma": "1.2e-8",
    "b1_theory": "2.50e-8"
  },
  "check": "At 294.26 K gives 27.8063 against Table 1's 27.808(17); at 1079.69 K 27.8486 against 27.8451(52). Eq. (16) with kumar_1985's S(-2) ... S(-10): 2.506e-8, the printed 2.50. Checked 2026-09-27."
}

Least-squares fit of Table 1’s alpha(omega_1, T) against T^2. b1_theory from Eq. (16) with Kumar and Meath’s dipole sums (k = 1-5).

hohm_1994c/eq14_omega2#

{
  "id": "eq14_omega2",
  "material": "Xe",
  "equation": "Eq. (14), p. 448, with Table 2 (p. 447) (row omega = 0.07669359 au)",
  "printed": "alpha(omega, T) = b0(omega) + b1(omega) T^2; omega = 0.07669359 au: b0 = 27.8994(75) au, 10^8 b1 = 4.07(1.2) K^-2; Eq. (16) theory 10^8 b1 = 2.51 K^-2",
  "variable": "T: temperature in K; alpha in atomic units at omega_2 = 0.07669359 au (594.096 nm, vacuum)",
  "range": "294-1080 K",
  "coefficients": {
    "b0": "27.8994",
    "b0_sigma": "0.0075",
    "b1": "4.07e-8",
    "b1_sigma": "1.2e-8",
    "b1_theory": "2.51e-8"
  },
  "check": "At 294.26 K gives 27.9029 against Table 1's 27.905(18). Checked 2026-09-27."
}

As eq14_omega1, at omega_2.

hohm_1994c/eq14_omega3#

{
  "id": "eq14_omega3",
  "material": "Xe",
  "equation": "Eq. (14), p. 448, with Table 2 (p. 447) (row omega = 0.08383075 au)",
  "printed": "alpha(omega, T) = b0(omega) + b1(omega) T^2; omega = 0.08383075 au: b0 = 28.0601(77) au, 10^8 b1 = 3.97(1.2) K^-2; Eq. (16) theory 10^8 b1 = 2.53 K^-2",
  "variable": "T: temperature in K; alpha in atomic units at omega_3 = 0.08383075 au (543.516 nm, vacuum)",
  "range": "294-1080 K",
  "coefficients": {
    "b0": "28.0601",
    "b0_sigma": "0.0077",
    "b1": "3.97e-8",
    "b1_sigma": "1.2e-8",
    "b1_theory": "2.53e-8"
  },
  "check": "At 294.26 K gives 28.0635 against Table 1's 28.066(17). Checked 2026-09-27."
}

As eq14_omega1, at omega_3.

hohm_1994c/eq14_omega4#

{
  "id": "eq14_omega4",
  "material": "Xe",
  "equation": "Eq. (14), p. 448, with Table 2 (p. 447) (row omega = 0.1401389 au)",
  "printed": "alpha(omega, T) = b0(omega) + b1(omega) T^2; omega = 0.1401389 au: b0 = 30.0105(83) au, 10^8 b1 = 4.38(1.3) K^-2; Eq. (16) theory 10^8 b1 = 2.70 K^-2",
  "variable": "T: temperature in K; alpha in atomic units at omega_4 = 0.1401389 au (325.13 nm, vacuum)",
  "range": "294-1080 K",
  "coefficients": {
    "b0": "30.0105",
    "b0_sigma": "0.0083",
    "b1": "4.38e-8",
    "b1_sigma": "1.3e-8",
    "b1_theory": "2.70e-8"
  },
  "check": "At 294.26 K gives 30.0143 against Table 1's 30.015(18); at 1079.69 K 30.0616 against 30.0581(53). Checked 2026-09-27."
}

As eq14_omega1, at omega_4. b1 increases with frequency (p. 448).

hohm_1994c/eq_delta_alpha#

{
  "id": "eq_delta_alpha",
  "material": "Xe",
  "equation": "text, p. 447 (Fig. 2)",
  "printed": "Delta alpha(T) = alpha(omega_4, T) - alpha(omega_1, T) = 2.2077(10) + 4.6(1.7) x 10^-9 T^2",
  "variable": "T: temperature in K; Delta alpha in atomic units, the difference of the polarizabilities at 325.13 and 632.99 nm",
  "range": "294-1080 K",
  "coefficients": {
    "a": "2.2077",
    "a_sigma": "0.0010",
    "b": "4.6e-9",
    "b_sigma": "1.7e-9"
  },
  "check": "At 294.26 K gives 2.2081 against Table 1's 30.015 - 27.808 = 2.207; at 1079.69 K 2.2131 against 2.2130. Checked 2026-09-27."
}

The authors’ fit of the measured dispersion against temperature: ‘an experimentally detected increase in the dispersion of the dipole polarizability of xenon with rising temperature’ (p. 447).

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.