tolstikhina_2014 ================ I\. Yu\. Tolstikhina, T\. Morishita and O\. I\. Tolstikhin, "Application of the many\-electron weak\-field asymptotic theory of tunneling ionization to atoms", Phys\. Rev\. A 90, 053413 \(2014\) `Source record `__ · :doc:`Catalogue ` · :doc:`Review register ` DOI: `10\.1103/PhysRevA\.90\.053413 `__ **Source kind:** theory **Recorded technique:** The many\-electron weak\-field asymptotic theory \(ME\-WFAT\) of tunnelling ionisation \(Tolstikhin, Madsen & Morishita, Phys\. Rev\. A 89, 013421 \(2014\), ref\. 2\)\: in a static field F the rate is Gamma = \|g\|^2 W\(F\) \[1 \+ O\(F ln F\)\] \(Eq\. 1\), W\(F\) the one\-electron field factor \(Eq\. 2\), and g the asymptotic coefficient of the Dyson orbital \(Eqs\. 3\-6\), 'an exact asymptotic result, provided the wave functions in Eq\. \(3\) are exact' \(apart from the nonrelativistic approximation; p\. 053413\-2\)\. Implemented here with Hartree\-Fock orbitals of the atom and the ion \(Froese Fischer's program, ref\. 15, its 2008 version\) in the one\-configuration approximation\: g = sqrt\(p\) R\_N g\_N \(Eq\. 17\), p the occupation factor \(2 for a closed\-shell atom\: 'for S = 0 there are two electrons in the atom that have equal ionization rates', p\. \-3\), R\_N the relaxation coefficient from the overlaps of the ionic and atomic orbitals \(Eq\. 14, Appendix\), g\_N the asymptotic coefficient of the ionising HF orbital \(Eqs\. 11\-12\), kappa from its orbital energy \(Eq\. 10\)\. Leading order in the weak\-field limit; valid for F well below F\_c ~ kappa^4/8\|2 \- kappa\| \(p\. \-2\)\. **Materials in structured entries:** Ar, He, Kr, Ne, Xe **Dataset quantities:** ionization\_model\_parameter, tunnelling\_structure\_coefficient **Contents:** 20 datasets; 0 formulas. Curation notes -------------- Journal pp\. 053413\-1 to \-9 = PDF pages 1\-9\. Identity checked against the first page\. WHAT IS TAKEN\. Table I \(p\. 053413\-4, tbl\_bb65aa194b35; every taken cell checked against the table image\)\: for He \(1s\), Ne \(2p\), Ar \(3p\), Kr \(4p\) and Xe \(5p\), all 1S with p = 2 and M = 0, the orbital exponent kappa, the relaxation coefficient R\_N, the orbital's coefficient g\_N and the atom's g\. Not taken\: H \(g = sqrt 2 by definition\), Li, Be, B, Na, Mg, Al \(not curated materials\), and Tables II\-IV \(open shells, configuration interaction\)\. WHAT THEY ARE\. Hartree\-Fock, nonrelativistic, leading order in the weak\-field limit\. 'We also include in the table Kr and Xe, since they are of interest for applications \(although relativistic effects in these atoms may be non\-negligible\)' \(p\. \-4\)\. kappa is the HF orbital exponent \(Koopmans\), 0\.8 to 3\.6 % above sqrt\(2 I\_p\) of the measured ionisation energies \(He 1\.354958 against 1\.3443, Ne 1\.304155 against 1\.2590, Ar 1\.087215 against 1\.0762\)\. For helium the accurate two\-electron g is 2\.932 \(ref\. 2\), 'much closer' to Table I's 2\.942 than 2\.990 without R\_N \(p\. \-5\)\: relaxation is weak \(R\_N 0\.977 to 0\.985\) and for helium correlation changes g by 0\.3 %\. WHAT THEY TEST\. With tong\_2002's C\_l the same formula is optmat's one\-electron static rate at weak field, so \(g/g\_TZL\)^2, g\_TZL = sqrt\(2\(2l\+1\)/kappa\) 2^\(\-1/kappa\) C\_l, is the atom's weak\-field rate over the model's one electron\: He 1\.66, Ar 1\.72, Kr 1\.78, Xe 1\.82, but Ne 0\.53, its g\_N half of what tong\_2002's C\_l implies \(TC\-852\)\. **Recorded bibliographic identity status:** VALIDATED. This concerns identification of the source; it does not establish the scientific correctness of its contents. Datasets -------- tolstikhina\_2014/g\_He ~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "g_He", "material": "He", "file": "He/tolstikhina_2014__g_He.csv", "table": "tbl_bb65aa194b35", "quantity": "tunnelling_structure_coefficient", "abscissa": "label", "use": "check", "parameters": { "model": "wfat", "orbital": "1s", "m": 0, "normalisation": "Tolstikhina et al. 2014 Eqs. (11)-(12): g_N = lim r->inf sqrt(2(2l+1)/kappa) (2r)^(-1/kappa) e^(kappa r) P_nl(r), P_nl the radial orbital times r, kappa the orbital exponent (Eq. 10); g = sqrt(p) R_N g_N (Eq. 17); the static rate Gamma = |g|^2 (kappa/2) (4 kappa^2/F)^(2/kappa - 1) exp(-2 kappa^3/3F) (Eqs. 1-2), atomic units. Per electron, g_N R_N = sqrt(2(2l+1)/kappa) 2^(-1/kappa) C_l in Tong, Zhao & Lin's C_l (tong_2002), with which Eqs. (1)-(2) are the static ADK rate", "electrons": "the atom (p = 2 included)" } } Table I \(p\. 053413\-4\), column g\: the atom's weak\-field coefficient g = sqrt\(p\) R\_N g\_N \(Eq\. 17\), p = 2, the ionising 1s orbital with m = 0, Hartree\-Fock with relaxation; the rate Gamma = \|g\|^2 W\(F\) \(Eq\. 1\)\. Includes the occupation factor\: its square counts both electrons of the orbital\. tolstikhina\_2014/g\_orbital\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "g_orbital_He", "material": "He", "file": "He/tolstikhina_2014__g_orbital_He.csv", "table": "tbl_bb65aa194b35", "quantity": "tunnelling_structure_coefficient", "abscissa": "label", "use": "check", "parameters": { "model": "wfat", "orbital": "1s", "m": 0, "normalisation": "Tolstikhina et al. 2014 Eqs. (11)-(12): g_N = lim r->inf sqrt(2(2l+1)/kappa) (2r)^(-1/kappa) e^(kappa r) P_nl(r), P_nl the radial orbital times r, kappa the orbital exponent (Eq. 10); g = sqrt(p) R_N g_N (Eq. 17); the static rate Gamma = |g|^2 (kappa/2) (4 kappa^2/F)^(2/kappa - 1) exp(-2 kappa^3/3F) (Eqs. 1-2), atomic units. Per electron, g_N R_N = sqrt(2(2l+1)/kappa) 2^(-1/kappa) C_l in Tong, Zhao & Lin's C_l (tong_2002), with which Eqs. (1)-(2) are the static ADK rate", "electrons": "one electron (the orbital)" } } Table I \(p\. 053413\-4\), column g\_N\: the asymptotic coefficient of the ionising Hartree\-Fock 1s orbital \(Eqs\. 11\-12\), m = 0, one electron, without relaxation\. tolstikhina\_2014/relaxation\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "relaxation_He", "material": "He", "file": "He/tolstikhina_2014__relaxation_He.csv", "table": "tbl_bb65aa194b35", "quantity": "ionization_model_parameter", "unit": "1", "abscissa": "none", "use": "check", "parameters": { "model": "wfat", "parameter": "R_N" } } Table I \(p\. 053413\-4\), column R\_N\: the relaxation coefficient of the ionising 1s orbital \(Eq\. 14\), from the overlaps of the Hartree\-Fock orbitals of the ion and the atom \(Appendix\)\. tolstikhina\_2014/kappa\_He ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "kappa_He", "material": "He", "file": "He/tolstikhina_2014__kappa_He.csv", "table": "tbl_bb65aa194b35", "quantity": "ionization_model_parameter", "unit": "au", "abscissa": "none", "use": "check", "parameters": { "model": "wfat", "parameter": "kappa" } } Table I \(p\. 053413\-4\), column kappa \(the CSV's header 'x'\)\: the exponent of the ionising Hartree\-Fock 1s orbital, kappa = sqrt\(\-2 epsilon\_N\) \(Eq\. 10\), printed with its digits grouped by spaces\. Not sqrt\(2 I\_p\) of the measured ionisation energy\. tolstikhina\_2014/g\_Ne ~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "g_Ne", "material": "Ne", "file": "Ne/tolstikhina_2014__g_Ne.csv", "table": "tbl_bb65aa194b35", "quantity": "tunnelling_structure_coefficient", "abscissa": "label", "use": "check", "parameters": { "model": "wfat", "orbital": "2p", "m": 0, "normalisation": "Tolstikhina et al. 2014 Eqs. (11)-(12): g_N = lim r->inf sqrt(2(2l+1)/kappa) (2r)^(-1/kappa) e^(kappa r) P_nl(r), P_nl the radial orbital times r, kappa the orbital exponent (Eq. 10); g = sqrt(p) R_N g_N (Eq. 17); the static rate Gamma = |g|^2 (kappa/2) (4 kappa^2/F)^(2/kappa - 1) exp(-2 kappa^3/3F) (Eqs. 1-2), atomic units. Per electron, g_N R_N = sqrt(2(2l+1)/kappa) 2^(-1/kappa) C_l in Tong, Zhao & Lin's C_l (tong_2002), with which Eqs. (1)-(2) are the static ADK rate", "electrons": "the atom (p = 2 included)" } } Table I \(p\. 053413\-4\), column g\: the atom's weak\-field coefficient g = sqrt\(p\) R\_N g\_N \(Eq\. 17\), p = 2, the ionising 2p orbital with m = 0, Hartree\-Fock with relaxation; the rate Gamma = \|g\|^2 W\(F\) \(Eq\. 1\)\. Includes the occupation factor\: its square counts both electrons of the orbital\. tolstikhina\_2014/g\_orbital\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "g_orbital_Ne", "material": "Ne", "file": "Ne/tolstikhina_2014__g_orbital_Ne.csv", "table": "tbl_bb65aa194b35", "quantity": "tunnelling_structure_coefficient", "abscissa": "label", "use": "check", "parameters": { "model": "wfat", "orbital": "2p", "m": 0, "normalisation": "Tolstikhina et al. 2014 Eqs. (11)-(12): g_N = lim r->inf sqrt(2(2l+1)/kappa) (2r)^(-1/kappa) e^(kappa r) P_nl(r), P_nl the radial orbital times r, kappa the orbital exponent (Eq. 10); g = sqrt(p) R_N g_N (Eq. 17); the static rate Gamma = |g|^2 (kappa/2) (4 kappa^2/F)^(2/kappa - 1) exp(-2 kappa^3/3F) (Eqs. 1-2), atomic units. Per electron, g_N R_N = sqrt(2(2l+1)/kappa) 2^(-1/kappa) C_l in Tong, Zhao & Lin's C_l (tong_2002), with which Eqs. (1)-(2) are the static ADK rate", "electrons": "one electron (the orbital)" } } Table I \(p\. 053413\-4\), column g\_N\: the asymptotic coefficient of the ionising Hartree\-Fock 2p orbital \(Eqs\. 11\-12\), m = 0, one electron, without relaxation\. tolstikhina\_2014/relaxation\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "relaxation_Ne", "material": "Ne", "file": "Ne/tolstikhina_2014__relaxation_Ne.csv", "table": "tbl_bb65aa194b35", "quantity": "ionization_model_parameter", "unit": "1", "abscissa": "none", "use": "check", "parameters": { "model": "wfat", "parameter": "R_N" } } Table I \(p\. 053413\-4\), column R\_N\: the relaxation coefficient of the ionising 2p orbital \(Eq\. 14\), from the overlaps of the Hartree\-Fock orbitals of the ion and the atom \(Appendix\)\. tolstikhina\_2014/kappa\_Ne ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "kappa_Ne", "material": "Ne", "file": "Ne/tolstikhina_2014__kappa_Ne.csv", "table": "tbl_bb65aa194b35", "quantity": "ionization_model_parameter", "unit": "au", "abscissa": "none", "use": "check", "parameters": { "model": "wfat", "parameter": "kappa" } } Table I \(p\. 053413\-4\), column kappa \(the CSV's header 'x'\)\: the exponent of the ionising Hartree\-Fock 2p orbital, kappa = sqrt\(\-2 epsilon\_N\) \(Eq\. 10\), printed with its digits grouped by spaces\. Not sqrt\(2 I\_p\) of the measured ionisation energy\. tolstikhina\_2014/g\_Ar ~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "g_Ar", "material": "Ar", "file": "Ar/tolstikhina_2014__g_Ar.csv", "table": "tbl_bb65aa194b35", "quantity": "tunnelling_structure_coefficient", "abscissa": "label", "use": "check", "parameters": { "model": "wfat", "orbital": "3p", "m": 0, "normalisation": "Tolstikhina et al. 2014 Eqs. (11)-(12): g_N = lim r->inf sqrt(2(2l+1)/kappa) (2r)^(-1/kappa) e^(kappa r) P_nl(r), P_nl the radial orbital times r, kappa the orbital exponent (Eq. 10); g = sqrt(p) R_N g_N (Eq. 17); the static rate Gamma = |g|^2 (kappa/2) (4 kappa^2/F)^(2/kappa - 1) exp(-2 kappa^3/3F) (Eqs. 1-2), atomic units. Per electron, g_N R_N = sqrt(2(2l+1)/kappa) 2^(-1/kappa) C_l in Tong, Zhao & Lin's C_l (tong_2002), with which Eqs. (1)-(2) are the static ADK rate", "electrons": "the atom (p = 2 included)" } } Table I \(p\. 053413\-4\), column g\: the atom's weak\-field coefficient g = sqrt\(p\) R\_N g\_N \(Eq\. 17\), p = 2, the ionising 3p orbital with m = 0, Hartree\-Fock with relaxation; the rate Gamma = \|g\|^2 W\(F\) \(Eq\. 1\)\. Includes the occupation factor\: its square counts both electrons of the orbital\. tolstikhina\_2014/g\_orbital\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "g_orbital_Ar", "material": "Ar", "file": "Ar/tolstikhina_2014__g_orbital_Ar.csv", "table": "tbl_bb65aa194b35", "quantity": "tunnelling_structure_coefficient", "abscissa": "label", "use": "check", "parameters": { "model": "wfat", "orbital": "3p", "m": 0, "normalisation": "Tolstikhina et al. 2014 Eqs. (11)-(12): g_N = lim r->inf sqrt(2(2l+1)/kappa) (2r)^(-1/kappa) e^(kappa r) P_nl(r), P_nl the radial orbital times r, kappa the orbital exponent (Eq. 10); g = sqrt(p) R_N g_N (Eq. 17); the static rate Gamma = |g|^2 (kappa/2) (4 kappa^2/F)^(2/kappa - 1) exp(-2 kappa^3/3F) (Eqs. 1-2), atomic units. Per electron, g_N R_N = sqrt(2(2l+1)/kappa) 2^(-1/kappa) C_l in Tong, Zhao & Lin's C_l (tong_2002), with which Eqs. (1)-(2) are the static ADK rate", "electrons": "one electron (the orbital)" } } Table I \(p\. 053413\-4\), column g\_N\: the asymptotic coefficient of the ionising Hartree\-Fock 3p orbital \(Eqs\. 11\-12\), m = 0, one electron, without relaxation\. tolstikhina\_2014/relaxation\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "relaxation_Ar", "material": "Ar", "file": "Ar/tolstikhina_2014__relaxation_Ar.csv", "table": "tbl_bb65aa194b35", "quantity": "ionization_model_parameter", "unit": "1", "abscissa": "none", "use": "check", "parameters": { "model": "wfat", "parameter": "R_N" } } Table I \(p\. 053413\-4\), column R\_N\: the relaxation coefficient of the ionising 3p orbital \(Eq\. 14\), from the overlaps of the Hartree\-Fock orbitals of the ion and the atom \(Appendix\)\. tolstikhina\_2014/kappa\_Ar ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "kappa_Ar", "material": "Ar", "file": "Ar/tolstikhina_2014__kappa_Ar.csv", "table": "tbl_bb65aa194b35", "quantity": "ionization_model_parameter", "unit": "au", "abscissa": "none", "use": "check", "parameters": { "model": "wfat", "parameter": "kappa" } } Table I \(p\. 053413\-4\), column kappa \(the CSV's header 'x'\)\: the exponent of the ionising Hartree\-Fock 3p orbital, kappa = sqrt\(\-2 epsilon\_N\) \(Eq\. 10\), printed with its digits grouped by spaces\. Not sqrt\(2 I\_p\) of the measured ionisation energy\. tolstikhina\_2014/g\_Kr ~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "g_Kr", "material": "Kr", "file": "Kr/tolstikhina_2014__g_Kr.csv", "table": "tbl_bb65aa194b35", "quantity": "tunnelling_structure_coefficient", "abscissa": "label", "use": "check", "parameters": { "model": "wfat", "orbital": "4p", "m": 0, "normalisation": "Tolstikhina et al. 2014 Eqs. (11)-(12): g_N = lim r->inf sqrt(2(2l+1)/kappa) (2r)^(-1/kappa) e^(kappa r) P_nl(r), P_nl the radial orbital times r, kappa the orbital exponent (Eq. 10); g = sqrt(p) R_N g_N (Eq. 17); the static rate Gamma = |g|^2 (kappa/2) (4 kappa^2/F)^(2/kappa - 1) exp(-2 kappa^3/3F) (Eqs. 1-2), atomic units. Per electron, g_N R_N = sqrt(2(2l+1)/kappa) 2^(-1/kappa) C_l in Tong, Zhao & Lin's C_l (tong_2002), with which Eqs. (1)-(2) are the static ADK rate", "electrons": "the atom (p = 2 included)" } } Table I \(p\. 053413\-4\), column g\: the atom's weak\-field coefficient g = sqrt\(p\) R\_N g\_N \(Eq\. 17\), p = 2, the ionising 4p orbital with m = 0, Hartree\-Fock with relaxation; the rate Gamma = \|g\|^2 W\(F\) \(Eq\. 1\)\. Includes the occupation factor\: its square counts both electrons of the orbital\. tolstikhina\_2014/g\_orbital\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "g_orbital_Kr", "material": "Kr", "file": "Kr/tolstikhina_2014__g_orbital_Kr.csv", "table": "tbl_bb65aa194b35", "quantity": "tunnelling_structure_coefficient", "abscissa": "label", "use": "check", "parameters": { "model": "wfat", "orbital": "4p", "m": 0, "normalisation": "Tolstikhina et al. 2014 Eqs. (11)-(12): g_N = lim r->inf sqrt(2(2l+1)/kappa) (2r)^(-1/kappa) e^(kappa r) P_nl(r), P_nl the radial orbital times r, kappa the orbital exponent (Eq. 10); g = sqrt(p) R_N g_N (Eq. 17); the static rate Gamma = |g|^2 (kappa/2) (4 kappa^2/F)^(2/kappa - 1) exp(-2 kappa^3/3F) (Eqs. 1-2), atomic units. Per electron, g_N R_N = sqrt(2(2l+1)/kappa) 2^(-1/kappa) C_l in Tong, Zhao & Lin's C_l (tong_2002), with which Eqs. (1)-(2) are the static ADK rate", "electrons": "one electron (the orbital)" } } Table I \(p\. 053413\-4\), column g\_N\: the asymptotic coefficient of the ionising Hartree\-Fock 4p orbital \(Eqs\. 11\-12\), m = 0, one electron, without relaxation\. tolstikhina\_2014/relaxation\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "relaxation_Kr", "material": "Kr", "file": "Kr/tolstikhina_2014__relaxation_Kr.csv", "table": "tbl_bb65aa194b35", "quantity": "ionization_model_parameter", "unit": "1", "abscissa": "none", "use": "check", "parameters": { "model": "wfat", "parameter": "R_N" } } Table I \(p\. 053413\-4\), column R\_N\: the relaxation coefficient of the ionising 4p orbital \(Eq\. 14\), from the overlaps of the Hartree\-Fock orbitals of the ion and the atom \(Appendix\)\. tolstikhina\_2014/kappa\_Kr ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "kappa_Kr", "material": "Kr", "file": "Kr/tolstikhina_2014__kappa_Kr.csv", "table": "tbl_bb65aa194b35", "quantity": "ionization_model_parameter", "unit": "au", "abscissa": "none", "use": "check", "parameters": { "model": "wfat", "parameter": "kappa" } } Table I \(p\. 053413\-4\), column kappa \(the CSV's header 'x'\)\: the exponent of the ionising Hartree\-Fock 4p orbital, kappa = sqrt\(\-2 epsilon\_N\) \(Eq\. 10\), printed with its digits grouped by spaces\. Not sqrt\(2 I\_p\) of the measured ionisation energy\. tolstikhina\_2014/g\_Xe ~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "g_Xe", "material": "Xe", "file": "Xe/tolstikhina_2014__g_Xe.csv", "table": "tbl_bb65aa194b35", "quantity": "tunnelling_structure_coefficient", "abscissa": "label", "use": "check", "parameters": { "model": "wfat", "orbital": "5p", "m": 0, "normalisation": "Tolstikhina et al. 2014 Eqs. (11)-(12): g_N = lim r->inf sqrt(2(2l+1)/kappa) (2r)^(-1/kappa) e^(kappa r) P_nl(r), P_nl the radial orbital times r, kappa the orbital exponent (Eq. 10); g = sqrt(p) R_N g_N (Eq. 17); the static rate Gamma = |g|^2 (kappa/2) (4 kappa^2/F)^(2/kappa - 1) exp(-2 kappa^3/3F) (Eqs. 1-2), atomic units. Per electron, g_N R_N = sqrt(2(2l+1)/kappa) 2^(-1/kappa) C_l in Tong, Zhao & Lin's C_l (tong_2002), with which Eqs. (1)-(2) are the static ADK rate", "electrons": "the atom (p = 2 included)" } } Table I \(p\. 053413\-4\), column g\: the atom's weak\-field coefficient g = sqrt\(p\) R\_N g\_N \(Eq\. 17\), p = 2, the ionising 5p orbital with m = 0, Hartree\-Fock with relaxation; the rate Gamma = \|g\|^2 W\(F\) \(Eq\. 1\)\. Includes the occupation factor\: its square counts both electrons of the orbital\. tolstikhina\_2014/g\_orbital\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "g_orbital_Xe", "material": "Xe", "file": "Xe/tolstikhina_2014__g_orbital_Xe.csv", "table": "tbl_bb65aa194b35", "quantity": "tunnelling_structure_coefficient", "abscissa": "label", "use": "check", "parameters": { "model": "wfat", "orbital": "5p", "m": 0, "normalisation": "Tolstikhina et al. 2014 Eqs. (11)-(12): g_N = lim r->inf sqrt(2(2l+1)/kappa) (2r)^(-1/kappa) e^(kappa r) P_nl(r), P_nl the radial orbital times r, kappa the orbital exponent (Eq. 10); g = sqrt(p) R_N g_N (Eq. 17); the static rate Gamma = |g|^2 (kappa/2) (4 kappa^2/F)^(2/kappa - 1) exp(-2 kappa^3/3F) (Eqs. 1-2), atomic units. Per electron, g_N R_N = sqrt(2(2l+1)/kappa) 2^(-1/kappa) C_l in Tong, Zhao & Lin's C_l (tong_2002), with which Eqs. (1)-(2) are the static ADK rate", "electrons": "one electron (the orbital)" } } Table I \(p\. 053413\-4\), column g\_N\: the asymptotic coefficient of the ionising Hartree\-Fock 5p orbital \(Eqs\. 11\-12\), m = 0, one electron, without relaxation\. tolstikhina\_2014/relaxation\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "relaxation_Xe", "material": "Xe", "file": "Xe/tolstikhina_2014__relaxation_Xe.csv", "table": "tbl_bb65aa194b35", "quantity": "ionization_model_parameter", "unit": "1", "abscissa": "none", "use": "check", "parameters": { "model": "wfat", "parameter": "R_N" } } Table I \(p\. 053413\-4\), column R\_N\: the relaxation coefficient of the ionising 5p orbital \(Eq\. 14\), from the overlaps of the Hartree\-Fock orbitals of the ion and the atom \(Appendix\)\. tolstikhina\_2014/kappa\_Xe ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: text { "id": "kappa_Xe", "material": "Xe", "file": "Xe/tolstikhina_2014__kappa_Xe.csv", "table": "tbl_bb65aa194b35", "quantity": "ionization_model_parameter", "unit": "au", "abscissa": "none", "use": "check", "parameters": { "model": "wfat", "parameter": "kappa" } } Table I \(p\. 053413\-4\), column kappa \(the CSV's header 'x'\)\: the exponent of the ionising Hartree\-Fock 5p orbital, kappa = sqrt\(\-2 epsilon\_N\) \(Eq\. 10\), printed with its digits grouped by spaces\. Not sqrt\(2 I\_p\) of the measured ionisation energy\. 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.