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The splitting of low-lying states for hydroxyl molecule under spin--orbit coupling
Authors:Li Gui-Xi  Gao Tao  Chen Dong  Li Yue-Xun  Zhang Yun-Guang and Zhu Zheng-He
Affiliation:Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610065, China; Laiyang Agriculture College, Qingdao 266109, China
Abstract:The splitting of potential energy curves for the states $X^{2}\Pi _{3/2}$, $^{2}\Pi _{1/2}$ and $A^{2}\Sigma ^{ +}$ of hydroxyl OH under spin--orbit coupling (SOC) has been calculated by using the SO multi-configuration quasi-degenerate perturbation theory (SO-MCQDPT). Their Murrell--Sorbie (M--S) potential functions have been derived, then, the spectroscopic constants for $X^{2}\Pi _{3/2}$,$^{ 2}\Pi _{1/2}$ and $A^{2}\Sigma ^{ + }$ have been derived from the M--S function. The calculated dissociation energies for the three states are $D_{0}$OH($X^{2}\Pi _{3/2})$]=34966.632cm$^{-1}$, $D_{0}$OH($^{2}\Pi _{1/2})$]=34922.802cm$^{-1}$, and $D_{0}$OH($A^{2}\Sigma ^{ + })$]=17469.794cm$^{-1}$, respectively. The vertical excitation energy $\nu {{ }^2\Pi _{1/2} ( {\nu = 0} ) \to {X}{ }^2\Pi _{3/2} ( {\nu = 0} )} ] = 139.6{\rm cm}^{-{\rm 1}}$. All the spectroscopic data for the $X^{2}\Pi _{3/2}$ and $^{2}\Pi _{1/2 }$ are given for the first time except the dissociation energy of $X^{2}\Pi _{3/2}$.
Keywords:SOC  SO--MCQDPT method  spectroscopic constants  OH radical
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