Semi-empirical calculations of oscillator strengths and hyperfine constants for Ti II

•The method of simultaneous determination of all the attributes of atomic structure.•The semi-empirical method of parameterization of oscillator strengths.•Illustration of the method application for the example of Ti II data.

As the result of our studies on the atomic structure of complex atoms we produced high quality wave functions for both the even and odd systems of configurations. The quality of wave functions was proved via comparison of the expected and experimental hyperfine structure constants and gJ-factors. These wave functions were used for the parametrization of the oscillator strengths for electromagnetic transitions in Ti II, where reliable experimental data were available. The least squares fit to experimental values for some transitions, published in the NIST Atomic Spectra Database, allowed us to obtain the values of transition integrals and parametrize the oscillator strengths.