“…[96] 3p 6 3d 10 , 3s 2 3p 5 3d 9 , 3s3p 5 3d 10 Co-like W 3s 2 3p 6 3d 9 , 3s3p 6 3d 10 , 3s 2 3p 6 3d 8 4s, RMBPT&MCDHF 5 [34,97] 3s 2 3p 6 3d 8 4d, 3s 2 3p 5 3d 9 4p, 3s 2 3p 5 3d 9 4f, 3s 2 3p 4 3d 10 4p, 3s3p 6 3d 9 4s, 3s 2 3p 5 3d 10 , 3s 2 3p 6 3d 8 4p, 3s 2 3p 6 3d 8 4f, 3s 2 3p 5 3d 9 4s, 3s 2 3p 5 3d 9 4d Ga-like W 4s 2 4p, 4s 2 4d, 4s4p In our works for M-shell and N-shell tungsten ions, [29,30,34,[96][97][98][99][100][101] atomic properties (of n = 3 states for Mshell and n = 4 states for N-shell) including excitation energies, wavelengths, and transition properties from Al-like W 61+ through Co-like W 47+ , Ga-like W 43+ through Se-like W 40+ , and W 38+ ions are calculated and cross-checked by using the RMBPT and MCDHF approaches. The two datasets are in excellent agreement with each other on the order of 0.01% for M-shell and 0.1% for N-shell tungsten ions.…”