Erratum to: A UB3LYP and UMP2 theoretical investigation on unusual cation-π interaction between the triplet state HB=BH $$ \left( {{}^3\Sigma_g^{-} } \right) $$ and H+, Li+, Na+, Be2+ or Mg2+

Journal of Molecular Modeling -     

Fully relativistic rovibrational energies and spectroscopic constants of the lowest {\text{X}}:(1)0_g^{ + } , A′:(1)2 u , A:(1)1 u , {\text{B}}\prime :(1)0_u^{ - } and {\text{B}}:(1)0_u^{ + } states of molecular chlorine

The main goal of this paper is to present the rovibrational energies and spectroscopic constants of the Cl(2) molecular system in the relativistic states [Formula: see text], A':(1)2( u ), A:(1)1( u ), [Formula: see text] and [Formula: see text]. More precisely, we have evaluated the Cl(2) ω ( e ), ω ( e ) x ( e ), ω ( e ) y ( e ), α ( e ), γ ( e ) and B ( e ) rovibrational spectroscopic constants using two different procedures. The first was obtained by combining the rovibrational energies, calculated through solving Schr?dinger's nuclear equation and the diatomic rovibrational energy equation. The second was obtained by using the Dunham method. The calculated properties are in good agreement with available experimental data.     

A B3LYP and MP2(full) theoretical investigation into the cooperativity effect between dihydrogen-bonding and H–M∙∙∙π (M = Li, Na, K) interactions among HF, MH with the π-electron donor C2H2, C2H4 or C6H6

The DFT-B3LYP/6-311++G(3df,2p) and MP2(full)/6-311++G(3df,2p) calculations were carried out on the binary complex formed by HM (M?=?Li, Na, K) and HF or the π-electron donor (C₂H₂, C₂H₄, C₆H₆), as well as the ternary system FH???HM???C₂H₂/C₂H₄/C₆H₆. The cooperativity effect between the dihydrogen-bonding and H–M???π interactions was investigated. The result shows that the equilibrium distances R _H???H and R _M???π in the ternary complex decrease and both the H???H and H–M???π interactions are strengthened when compared to the corresponding binary complex. The cooperativity effect of the dihydrogen bond on the H–M???π interaction is more pronounced than that of the M???π bond on the H???H interaction. Furthermore, the values of cooperativity effect follow the order of FH???HNa???π?>?FH???HLi???π?>?FH???HK???π and FH???HM???C₆H₆?>?FH???HM???C₂H₄?>?FH???HM???C₂H₂. The nature of the cooperativity effect was revealed by the analyses of the charge of the hydrogen atoms in H???H moiety, atom in molecule (AIM) and electron density shifts methods.