“…Essentially, this entails substituting the off-diagonal element of the matrix of the DPESs, denoted as V 12 , with its absolute value, | V 12 |. However, it is well-known that the LiH 2 system possesses a conical intersection (CI) seam in C 2 v configurations, which couples its ground (1 2 A ′) and first excited states (2 2 A ′). ,,,, In a two-state system featuring a CI seam, the off-diagonal elements of the matrix of the DPESs have to satisfy an antisymmetry constraint, which results from the geometric quantization of the derivative coupling . Additionally, the permutation of identical nuclei introduces another symmetry constraint on the off-diagonal elements.…”