The scaling study for the hydrogen bonding networks

The theory of reversible gelation is shown to be applicable to the hydrogen bonding (HB) system by analyzing their similarities in statistical viewpoint. The size distribution of HB cluster, the gelation condition and the relationship between the equilibrium conversions and Gibbs free energy for the one-component HB system are given. Based on these results, the sol–gel phase transition for some HB systems is predicted to take place by obtaining the generalized scaling law satisfied by the radius of gyration of HB clusters. Furthermore, taking water clusters as an example, several possible experimental plans to test the sol–gel phase transition are proposed.