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 <https://github.com/LupoLab/optmat/blob/main/src/optmat/data/sources/hohm_1994c.toml>`__ · :doc:`Catalogue </the-data/sources>` · :doc:`Review register </register>`

DOI: `10\.1016/0301\-0104\(94\)00296\-7 <https://doi.org/10.1016/0301-0104%2894%2900296-7>`__

**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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: text

   {
     "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 :doc:`review register </register>` for the checks and decisions.