where m$_{j}$ is the z -projection of the total angular momentum. In Table I the contributions of the individual terms to Δ g SE SQED and Δ g VP SQED are presented in the Feynman and Coulomb gauges. The contributions of Δ E VP( C ) SQED and Δ E VP( H ) SQED are zero in the Uehling approximation that we employed for U ml $_{VP}$. The diagram F , which is gauge invariant itself, is calculated only in the Feynman gauge. It can be seen from the table that the total results in the different gauges are in a fair agreement with each other. Additionally, we estimated the Wichmann-Kroll part of the magnetic-loop diagrams taking the one-electron value from Ref. [15], and assuming the same screening ratio as for the electric-loop diagrams. In Table III the individual terms and the total values of the g factor for Li-like lead $^{208}$Pb 79+ and uranium $^{238}$U89+ are presented. The contribution of the screened self-energy correction Δ g SE SQED amounts to − 3 . 3(2) × 10 − 6 for $^{208}$Pb 79+ and − 4 . 9(9) × 10 − 6 for $^{238}$U$^{89+}$. The estimated un- certainty of the result is rather large due to the cancellation of the individual terms presented in Table I. The values obtained previously with local screening potentials are − 3 . 5(1 . 2) × 10 − 6 and − 3 . 1(1 . 5) × 10 − $^{6}$, respectively [27]. The contribution of the screened vacuum-polarization Δ g VP SQED is 1 . 53(3) × 10 − 6 for $^{208}$Pb 79+ and 2 . 55(5) × 10 − 6 for $^{238}$U$^{89+}$. The other contributions to the g factor presented in Table III were considered in details in our previous studies [26, 27]. The accuracy of the g factor value is about 10% better than that from Ref. [27] and is almost completely determined by the higher-orders of the interelectronic-interaction correction. The total value of the hyperfine splitting of a Li-like ion canbe written as, where E$_{F}$ is the non-relativistic value of the hyperfine splitting (Fe rmi energy), A ( αZ ) is the one- electron relativistic factor, δ and ε are the corrections for distributions of the charge and magnetic moment over the nucleus, respectively. The interelectronic-interaction corrections of first and higher orders in 1 /Z are represented by the functions B ( αZ ) and C ( Z, αZ ) , respectively. The term x$_{QED}$ corresponds to the one-electron QED corrections. The details on these contributions can be found in Refs. [40, 47] and references therein. The operator T$_{0}$ for the hyperfine splitting is given by Δ E ( a ) hfs = E$_{F}$ [ A ( αZ )(1 − δ )(1 − ε ) + 1 Z B ( αZ ) + 1 Z $_{2}$C ( Z, αZ ) + x$_{QED}$ + x$_{SQED}$ ] , (71) B. Hyperfine splitting T$_{0}$ = E$_{F}$G$_{a}$ [ r × α ]$_{z}$ r 3 . (72) 17