We report the review of the experimental results obtained at the Institute of Laser Engineering, Osaka University, of the soft X-ray lasing in various Ni-like ions whose atomic numbers range from 47(Ag) to 66(Dy). The lasing wavelengths are between 14 nm and 5 nm. X-ray lasing in these materials were obtained when the plasma profiles were properly controlled in time and space by irradiation of curved slab targets with multiple laser pulses. We also describe the original work of the atomic physics calculations which provide the transition energies, transition probabilities and other atomic constants for Ni-like ion species whose atomic numbers range from 36 to 92 calculated with GRASP code (multi-configuration Dirac Fock code) and YODA code (relativistic distorted wave code). Based on these atomic constants, we have calculated the kinetics of the population inversion with a simplified rate equation model in conjunction with a one-dimensional hydrodynamic code to find out the desired pumping conditions. We show a possibility for significant improvement in the pumping efficiency with the use of a picosecond laser irradiating a properly configured preformed plasma. Finally, a simplified estimation of the pumping efficiency is described based on the atomic constants and plasma physics issues.
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Daido et al. (1997) studied this question.