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The splitting of potential energy levels for ground state X2пg of Ox2 (x = +1,-1) under spin-orbit coupling(SOC) has been calculated by using the spin-orbit (SO) multi-configuration quasi-degenerate perturbation theory (SO-MCQDPT).Their Murrell Sorbic (M-S) potential functions are gained,and then the spectroscopic constants for electronic states 2п1/2 and 2п3/2 are derived from the M-S function.The vertical excitation energies for Ox2 (x=+1,-1) are v[O2+1(2п3/2 → X2п1/2)]=195.652cm-1,and v[O2-1(2п1/2 → X2п3/2)] =-182.568cm-1,respectively.All the spectroscopic data for electronic states 2п1/2 and 2п3/2 are given for the first time.