Abstract: In this paper, by using the relativistic multi-configuration Dirac-fock extended average level model, we calculate 113 levels of all the 2s²2p⁵、2s²2p⁴3l、2s2p⁵3l and 2p⁶3l configuration of lasing matter with the F-like type plasma,Ce,Gd, Lu, Th, U ions, which can produce coherent radiation feasibility of soft Xray, and results are prented for all allowed tranitory strong coherent radiation wavelength value from the singly excited M-subshell states to the tow-lying 2s²2p(²P_3/2,²P_1/2) configuration and 2s2p⁶(²S_1/2) configuration.

Key words: F-like ion, relativistic multi-configuration, Dirac-Fock extended average level model, Breit correction, Quantum electrodynamic correction