Cukrowski Ignacy, Zaaiman Stéfan, Hussain Shahnawaz
Department of Chemistry, Faculty of Natural and Agricultural Sciences, University of Pretoria, Lynnwood Road, Hatfield, Pretoria 0002, South Africa.
Department of Computer Science and Engineering, Indian Institute of Technology, Kharagpur 721302, India.
Molecules. 2025 Apr 27;30(9):1944. doi: 10.3390/molecules30091944.
A non-linear (non-additive) increase in stability of hexamers follows an increase in the total number of (i) (a double proton acceptor) plus (a double proton donor) waters commonly linked with anticooperativity and (ii) the total number of intermolecularly delocalized electrons () in the 3D space occupied by a hexamer. Subsequently, we obtained nearly a perfect linear correlation between increase in the cluster stability and . Individual water molecules that act as either or (i) delocalize the largest number of electrons throughout a cluster; (ii) are involved in the strongest attractive, hence energy-stabilizing intermolecular interaction with the remaining five waters; (iii) have the most significant quantum component of the intermolecular interaction energy and (iv) relative to six non-interacting water molecules, stabilize a hexamer the most, as quantified by a purposely derived -FAMSEC energy term. Clearly, the approach used in the unified, molecular-wide and electron density (MOWeD)-based concept of chemical bonding contradicts the commonly accepted view that and water molecules are involved in anticooperativity in 3D water hexamers. Consequently, we propose here a general definition of cooperativity that should be applicable to any -membered molecular cluster, namely
六聚体稳定性的非线性(非加和性)增加,是随着(i)(双质子受体)加上(双质子供体)通常与反协同性相关联的水的总数增加,以及(ii)六聚体占据的三维空间中分子间离域电子()的总数增加而出现的。随后,我们在簇稳定性的增加与之间获得了近乎完美的线性相关性。充当或的单个水分子(i)在整个簇中离域最多数量的电子;(ii)参与与其余五个水最强的吸引性、因此能量稳定的分子间相互作用;(iii)具有分子间相互作用能的最显著量子成分;以及(iv)相对于六个非相互作用的水分子,通过特意推导的-FAMSEC能量项量化,最能稳定六聚体。显然,基于统一的、分子范围和电子密度(MOWeD)的化学键概念中使用的方法,与通常接受的观点相矛盾,即和水分子在三维水六聚体中参与反协同性。因此,我们在此提出一个适用于任何元分子簇的协同性的一般定义,即