The twofold diabatization of the KRb $(1\sim 2)^1\Pi$ complex in the   framework of \emph{ab initio} and deperturbation approaches
  We performed a diabatization of the mutually perturbed $1^1\Pi$ and $2^1\Pi$ states of KRb based on both electronic structure calculation and direct coupled-channel deperturbation analysis of experimental energies. The potential energy curves (PECs) of the diabatic states and their scalar coupling were constructed from the \textit{ab initio} adiabatic PECs by analytically integrating the radial $\langle \psi_1^{ad}|\partial /\partial R|\psi_2^{ad}\rangle$ matrix element obtained by a finite-difference method. The diabatic potentials and electronic coupling function were refined by the least squares fitting of the rovibronic termvalues of the $1^1\Pi\sim 2^1\Pi$ complex. The empirical PECs combined with the coupling function as well as the diabatized spin-orbit coupling and transition dipole matrix elements are useful for further deperturbation treatment of both singlet and triplet states manifold. 
S. V. Kozlov, E. A. Pazyuk, and A. V. Stolyarov
physics.chem-ph physics.atm-clus