Excitation energies of levels in the 3d⁹4s configuration for W⁴⁶⁺ from different theoretical approaches compared to experiment and other calculations

<p><b>Table 1.</b> Excitation energies of levels in the 3d⁹4s configuration for W⁴⁶⁺ from different theoretical approaches compared to experiment and other calculations.</p> <p><strong>Abstract</strong></p> <p>Based on the multi-configuration Dirac–Hartree–Fock method and using the GRASPVU package, a theoretical investigation was performed to study the lifetimes of hyperfine levels of the first excited level 3d⁹4s ³D₃ in Ni-like ions (<em>Z</em> = 72–79) for all stable isotopes with nuclear spin. Comparisons between hyperfine-induced electric quadrupole transition rates and the pure magnetic octupole transition rates show that the extra electric quadrupole transition channel caused by the nuclear magnetic dipole and electric quadrupole hyperfine interaction is important for most hyperfine levels in each individual ion. Lifetimes of most hyperfine levels are sensitive to this extra decay channel. Extreme cases are found in ¹⁸¹Ta, ¹⁸⁵Re and ¹⁸⁷Re, where lifetimes of some hyperfine levels are shortened by more than an order of magnitude.</p

Lifetime (in ms) and transition rate (in s⁻¹) of the hyperfine level of 3d⁹4s ³D₃ either with or without nuclear quadrupole HFI

<p><b>Table 4.</b> Lifetime (in ms) and transition rate (in s⁻¹) of the hyperfine level of 3d⁹4s ³D₃ either with or without nuclear quadrupole HFI. Notation <em>f</em> denotes the natural abundance of a different isotope with nuclear spin <em>I</em> and µ denotes the magnetic dipole moment in nuclear magnetons. Notation <em>Q</em> denotes the nuclear electric quadrupole moment in barns. Values of <em>I</em>, µ and <em>Q</em> are referred from [<a href="http://iopscience.iop.org/0953-4075/46/14/145001/article#b467799bib27" target="_blank">27</a>], where the uncertainties of µ and <em>Q</em> values are quoted in parentheses. The values of <em>f</em> are referred from [<a href="http://iopscience.iop.org/0953-4075/46/14/145001/article#b467799bib28" target="_blank">28</a>]. All lifetimes are given in ms (<em>a</em>[<em>b</em>] = <em>a</em> <b>×</b> 10^<em>b</em>).</p> <p><strong>Abstract</strong></p> <p>Based on the multi-configuration Dirac–Hartree–Fock method and using the GRASPVU package, a theoretical investigation was performed to study the lifetimes of hyperfine levels of the first excited level 3d⁹4s ³D₃ in Ni-like ions (<em>Z</em> = 72–79) for all stable isotopes with nuclear spin. Comparisons between hyperfine-induced electric quadrupole transition rates and the pure magnetic octupole transition rates show that the extra electric quadrupole transition channel caused by the nuclear magnetic dipole and electric quadrupole hyperfine interaction is important for most hyperfine levels in each individual ion. Lifetimes of most hyperfine levels are sensitive to this extra decay channel. Extreme cases are found in ¹⁸¹Ta, ¹⁸⁵Re and ¹⁸⁷Re, where lifetimes of some hyperfine levels are shortened by more than an order of magnitude.</p

Lifetimes of different hyperfine levels of 3d⁹4s ³D₃, <em>τ_F</em>, relative to the lifetime of 3d⁹4s ³D₃ which decays by the pure M3 transition, <em>τ_M3</em>

<p><strong>Figure 2.</strong> Lifetimes of different hyperfine levels of 3d⁹4s ³D₃, <em>τ_F</em>, relative to the lifetime of 3d⁹4s ³D₃ which decays by the pure M3 transition, <em>τ_M3</em>. Results for all hyperfine levels of different isotopes in table <a href="http://iopscience.iop.org/0953-4075/46/14/145001/article#b467799t4" target="_blank">4</a> are presented.</p> <p><strong>Abstract</strong></p> <p>Based on the multi-configuration Dirac–Hartree–Fock method and using the GRASPVU package, a theoretical investigation was performed to study the lifetimes of hyperfine levels of the first excited level 3d⁹4s ³D₃ in Ni-like ions (<em>Z</em> = 72–79) for all stable isotopes with nuclear spin. Comparisons between hyperfine-induced electric quadrupole transition rates and the pure magnetic octupole transition rates show that the extra electric quadrupole transition channel caused by the nuclear magnetic dipole and electric quadrupole hyperfine interaction is important for most hyperfine levels in each individual ion. Lifetimes of most hyperfine levels are sensitive to this extra decay channel. Extreme cases are found in ¹⁸¹Ta, ¹⁸⁵Re and ¹⁸⁷Re, where lifetimes of some hyperfine levels are shortened by more than an order of magnitude.</p

Convergence of the calculated transition rates for two E2 transitions and one M3 transition in W⁴⁶⁺

<p><b>Table 2.</b> Convergence of the calculated transition rates for two E2 transitions and one M3 transition in W⁴⁶⁺. All transition rates are given in s⁻¹. Each E2 transition rate is given in both Babushkin and Coulomb gauges (<em>a</em>[<em>b</em>] = <em>a</em> <b>×</b> 10^<em>b</em>).</p> <p><strong>Abstract</strong></p> <p>Based on the multi-configuration Dirac–Hartree–Fock method and using the GRASPVU package, a theoretical investigation was performed to study the lifetimes of hyperfine levels of the first excited level 3d⁹4s ³D₃ in Ni-like ions (<em>Z</em> = 72–79) for all stable isotopes with nuclear spin. Comparisons between hyperfine-induced electric quadrupole transition rates and the pure magnetic octupole transition rates show that the extra electric quadrupole transition channel caused by the nuclear magnetic dipole and electric quadrupole hyperfine interaction is important for most hyperfine levels in each individual ion. Lifetimes of most hyperfine levels are sensitive to this extra decay channel. Extreme cases are found in ¹⁸¹Ta, ¹⁸⁵Re and ¹⁸⁷Re, where lifetimes of some hyperfine levels are shortened by more than an order of magnitude.</p

Calculated transition rates (in s⁻¹) of the M3 transition and two E2 transitions in ions along the Ni-like isoelectronic sequence

<p><b>Table 3.</b> Calculated transition rates (in s⁻¹) of the M3 transition and two E2 transitions in ions along the Ni-like isoelectronic sequence. Each E2 transition rate is given in both Babushkin and Coulomb gauges (<em>a</em>[<em>b</em>] = <em>a</em> <b>×</b> 10^<em>b</em>).</p> <p><strong>Abstract</strong></p> <p>Based on the multi-configuration Dirac–Hartree–Fock method and using the GRASPVU package, a theoretical investigation was performed to study the lifetimes of hyperfine levels of the first excited level 3d⁹4s ³D₃ in Ni-like ions (<em>Z</em> = 72–79) for all stable isotopes with nuclear spin. Comparisons between hyperfine-induced electric quadrupole transition rates and the pure magnetic octupole transition rates show that the extra electric quadrupole transition channel caused by the nuclear magnetic dipole and electric quadrupole hyperfine interaction is important for most hyperfine levels in each individual ion. Lifetimes of most hyperfine levels are sensitive to this extra decay channel. Extreme cases are found in ¹⁸¹Ta, ¹⁸⁵Re and ¹⁸⁷Re, where lifetimes of some hyperfine levels are shortened by more than an order of magnitude.</p

Additional file 1: Table S1. of Attitudes of consumers and live-poultry workers to central slaughtering in controlling H7N9: a cross-sectional study

Summarizes the survey protocols. Table S2. shows detailed information on the enrolled cities, live-poultry-restricted areas and sample size for each survey. Table S3. shows attitudes and preventive behaviors among consumers and live-poultry workers. Table S4. shows perception of the policy among consumers. Table S5. shows acceptability rate of the policy among consumers in different cities selected. Table S6. shows results of univariate analysis for policy acceptability among consumers. Table S7. shows results of univariate analysis for policy acceptability among live-poultry workers. Q1. shows the questionnaire used for investigating consumers. Q2. shows the questionnaire used for investigating live-poultry traders. Q3. shows the questionnaire used for investigating poultry farm workers (DOCX 90 kb)

Additional file 1: of Attitudes towards suicide in urban and rural China: a population based, cross-sectional study

Appendix 1. Scale of Public Attitudes about Suicide (SPAS) (translated from the original Chinese). (DOCX 16 Kb