The dipole polarisability of Zn+ and the highℓ Rydberg levels of Zn

Abstract

An accurate 1-electron model of Zn + is developed and used to evaluate the long-range asymptotic form of the polarisation potential for an electron interacting with a Zn + 'core' up to terms of order r −8 . The static dipole polarisability of Zn + is calculated to be 16.7 au, in good agreement with an effective experimental value derived from observed zinc 4snf term values. Radiative lifetimes for 4p 1 2 , 3 2 resonance levels and several other excited levels of Zn + are also calculated. Energies of 4sn Rydberg levels of Zn for = 3 and 4 and n up to 26 are evaluated in first-and second-order perturbation theory; the 4snf energies are in accord with a recent measurement.

Relativistic calculations of the lifetimes and hyperfine structure constants in67Zn+

“…the lifetime of the 4D 5/2 state should be less than the lifetime of 4D 3/2 state according to both experiments available [9,10]. This was not found in any of the ab initio studied so far [9,[11][12][13]. Our calculated lifetimes for the 4D 3/2 and 4D 5/2 states which are reported here have the same order, as well as being in good agreement with the experimental results.…”

Millimeter-wave spectroscopy of Zn I in1D2,1F3and1G4Rydberg states

“…This closed-shell core, according to relativistic random-phase calculations of Johnson et al [30], contributes a further 2.296 a , 0 3 bringing the semi-empirical value into closer agreement with our work. Theoretical values from Laughlin [21] cover a wide range that overlaps our value. The value from Ilias and Neogrady [31,32], using the most sophisticated theory so far, is in very close agreement.…”

“…The root-mean-square deviation of the whole fit of energy level separations was σ RMS = 3.3 MHz, which justifies the pragmatic application of singlechannel QDT. The quantum-defect coefficients, which are the main results of this work, are listed in table 2 where the quantum defects from [12] and [21] are shown for comparison.…”

Radiative Lifetimes of Zn I, II Excited States

“…On the theoretical side, the different approaches used for calculation of radiative parameters of Zn II include the multiconfigurational HF method [25], the Coulomb approximation [26], the polarisation potential approach [27], the pseudopotential approximation [28], the relativistic model potential method taking core polarisation into account [29], the Dirac-Fock method [30] and the oneelectron approximation including core polarization effects [36]. Two different approaches, i.e.…”