lach_2004 ========= G\. Lach, B\. Jeziorski and K\. Szalewicz, "Radiative Corrections to the Polarizability of Helium", Phys\. Rev\. Lett\. 92, 233001 \(2004\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1103/PhysRevLett\.92\.233001 `__ **Source kind:** theory **Recorded technique:** Ab initio static dipole polarizability of the helium atom\: the complete alpha^3 QED correction for infinite nuclear mass, including the electric\-field dependence of the Bethe logarithm \(integral representation, Eqs\. 10\-14, explicitly correlated Slater bases up to 1024 functions\), plus the nonrelativistic value with nuclear motion, the alpha^2 relativistic correction, estimates of the alpha^2 m\_e/M and alpha^3 m\_e/M recoil terms and the one\-loop alpha^4 term \(Eq\. 19\) \(pp\. 1\-4\)\. The library's directory name lost the author's initial L \(Lach\)\. **Materials in structured entries:** He **Dataset quantities:** molar\_refractivity, polarizability **Contents:** 2 datasets; 0 formulas. Curation notes -------------- Table IV, 'Contributions to the polarizability of 4He in atomic units x 1e\-6' \(read on the image; the CSV lost the minus signs and parentheses\)\: nonrelativistic approximation 1 383 809\.986\.\.\. \(with the mass\-polarization term, computed in reduced atomic units, p\. 4, and given in atomic units\: it equals puchalski\_2016's 4He alpha\_0^\(0\)\); alpha^2 relativistic \-80\.35\(2\) \(Pachucki and Sapirstein \-80\.358\(27\), Cencek et al\. \-80\.34\(2\)\); alpha^3 QED without the field derivative of ln k0 30\.473\(1\) \(Pachucki and Sapirstein 30\.474\(1\)\); alpha^3 QED from that derivative 0\.193\(2\); alpha^4, alpha^2 m\_e/M\_He and alpha^3 m\_e/M\_He terms 0\.49\(23\); total 1 383 760\.79\(23\)\. In the text\: the alpha^2 m\_e/M correction is \-0\.07\(2\)e\-6 a\.u\. \(preliminary\), the alpha^3 m\_e/M one smaller than 0\.05e\-6, the alpha^4 one\-loop estimate 0\.56e\-6 a\.u\. with a 40 % uncertainty \('very conservatively', p\. 4\); the abstract gives the complete alpha^3 QED correction 0\.000 030 666\(3\) a\.u\. for infinite nuclear mass; d^2 ln k0/dE^2 = 0\.0512\(4\) \(Eq\. 18\); the P\(r12^\-3\) contribution 0\.371 61\(1\)e\-6 \(p\. 2\)\. Recommended molar polarizability \(p\. 4, abstract\)\: 0\.517 254 19\(9\)\(4\) cm^3/mol, 'the first of the two error bounds is of theoretical origin and the second reflects the uncertainty of the Avogadro constant' \(CODATA 1998, Ref\. 1\)\. Overall error 0\.2 ppm\. The uncertainties are called 'error bounds'; their level is not stated\. Superseded by puchalski\_2016 \(same group\)\: the static total 1\.38376077\(14\) there recomputes the field derivative of the Bethe logarithm \(0\.183 instead of 0\.193 u a0^3\), adds the computed recoil \-0\.0935 u a0^3 and reduces the alpha^4 allowance to 25 %\. Both datasets are checks\. **Recorded bibliographic identity status:** VALIDATED. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- lach\_2004/alpha\_static ~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "alpha_static", "material": "He", "file": "He/lach_2004__alpha_static.csv", "table": "tbl_81cac1358e95", "quantity": "polarizability", "unit": "au", "scale": 1e-06, "abscissa_unit": "angstrom", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "not stated" } } Table IV 'Total'\: static polarizability of 4He 1 383 760\.79\(23\) x 1e\-6 a\.u\. \(nonrelativistic with nuclear motion, alpha^2, alpha^3 QED, recoil and alpha^4 estimates\)\. Superseded by puchalski\_2016 \(1\.38376077\(14\)\); a check\. lach\_2004/molar\_polarizability ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "molar_polarizability", "material": "He", "table": "text", "quantity": "molar_refractivity", "unit": "cm3/mol", "abscissa_unit": "angstrom", "wavelength_medium": "vacuum", "use": "check", "uncertainty": { "column": true, "level": "not stated" } } 1 inline points in the source record. p\. 4 and abstract\: '0\.517 254 19\(9\)\(4\) cm3/mol as our recommended value of the molar polarizability of helium' \(4He, static\); the sigma is the theoretical \(9\), the \(4\) is from the 1998 Avogadro constant \(combined \(10\) in puchalski\_2016 Table IX\)\. The same number as alpha\_static converted; a check\. 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.