Extended analysis of the system of even configurations of Ta II
Abstract We performed a parametric study of the fine (fs) and hyperfine structure (hfs) for the even parity configurations of ionized tantalum (Ta II) using improved experimental fs and hfs data for 88 levels. A multi-configuration fitting procedure was performed for 47 configurations taking into account second-order perturbation theory including the effects of closed to open shell excitations. The fs and hfs parameters were calculated. Predicted values of level energies up to 86 000 cm − 1 are given, as well as g J -Lande factors, magnetic dipole and electric quadrupole hyperfine structure constants A and B , when no experimental values are available.
The purpose of this paper is to discuss the estimation for eigenvalues of TD matrices which was introduced in Section 2. We prove that all the eigenvalues of TD matrices are located in one disk. We shall conclude the paper with a numerical example which will show the effectiveness of our new results.