Hyperfine structure and isotope shift analysis of singly ionized titanium

Abstract

The even-parity low configuration system of Ti II has been considered on the basis of the experimental data found in the literature, and its fine structure has been reanalyzed by simultaneous parameterization of one-and two-body interactions for the model space (3d + 4s) 3 . Furthermore, the main one-electron hyperfine structure parameters for these configurations have been evaluated. For instance, for 3d 2 4s 1 , a 01 3d = −63.2 (3.1) MHz and a 10 4s = −984.1 (7.1) MHz. Field shifts (FS) and specific mass shifts (SMS) of the main Ti II configurations are deduced by means of ab initio estimates combined with a small quantity of experimental isotope shift data available in the literature: FS(3d 3 ) = −63.3 MHz, FS(3d 2 4p 1 ) = −49.7 MHz, FS(3d 1 4s 2 ) = 98.2 MHz, FS(4s 2 4P 1 ) = 163.4 MHz and SMS(3d 3 ) = 1453.3 MHz, SMS(3d 1 4s 2 ) = −2179.7 MHz, . . ., referred to 3d 2 4s 1 for the pair Ti 46 -Ti 48 .

Fine Structure Analysis of the Configuration System of V II. Part I: Even-Parity Levels

“…relative to Ti I [14] and Ti II [7]. Since these ratios are very close for these two neighbour elements in the Periodic Table, we can conclude that the deduced ( ) In Table 7 we have listed the measured hfs constants A given in MHz, used in our fitting procedure.…”

Mass-independent analysis of the stable isotopologues of gas-phase titanium monoxide – TiO

“…The authors thank C. Amiot for providing us with his experimental data. Also the authors thank E. of Ti (N = 2) [98], or Ti + (N = 1) [99]. Where the one-body-parameter a κk nl (l N +M s 2−M ) are related to the model-space parameters a κk nl ,…”

“…with a 01 3d (X/X + ) being atomic/ionic nuclear spin-orbit coupling constant. The atomic [98] and ionic [99] parameters of titanium (a 01 3d (T i), a 01 3d (T i + ))in the specific electronic configurations (Appendix) are derived from literature and are listed in Table 7. From our experimentally derived nuclear spin-orbit parameter a( 47 T iO) = −53.155 (43) MHz, the ionic character of TiO is derived applying Eq.…”

“…(A.4) & (A.13) → 2A = c 2 atom ζ 3d (T i) A 3d δ (T i) +c 2 ion ζ 3d (T i + ) A 3d δ (T i + ) . (A.19)Furthermore, we use the atomic Ti spin-orbit parameter ζ 3d (T i) = ζ 3d (3d 3 4s 1 ) = 82.4(50) cm −1[105] and the ionic Ti with ζ 3d (T i + ) = ζ 3d (3d 2 4s 1 ) = 111(30) cm −1[99] within our FAC method. Determining the ionic character results in a value ofc 2 ion = 2A − ζ 3d (T i) ζ 3d (T i + ) − ζ 3d (T i)…”

“…In the further description the parameters derived from are called 'mixed parameter values'. In this paper, we use the model-space parameter description (3d + 4s) N +2 of Ti (N = 2)[98], or Ti + (N = 1)[99]. Where the one-body-parameter a κk nl (l N +M s 2−M ) are related to the model-space parameters a κk nl , a κk nl (l N +M s 2−M ) = a κk nl κk = 01, 12.…”