A quantitative and a qualitative study of the resonance assisted double   proton transfer in formic acid dimer
  We have performed ab initio molecular dynamics simulations to study the nature of the synchronous double proton transfer in formic acid dimer. In order to understand the evolution of the bonding during the double proton transfer, we have used the electron localization function and the molecular orbital isosurfaces. During the dynamics of the double proton transfer in formic acid dimer the two formic acid monomers approach each other, forming Speakman-Hadzi type, of short strong hydrogen bonds at the transition state. The Speakman-Hadzi type of short strong hydrogen bonds are also shown to be polar covalent bonds. Based on the concept of resonance assisted hydrogen bond proposed by Gilli et al (Gilli P, Bertolasi V, Ferretti V & G. Gilli, J. Am. Chem. Soc., 116 (1994). 909-915), we show that the proton at the transition state is connected by a conjugated O-C-O structures, indicating a resonance assisted hydrogen bond. On this basis the double proton transfer process in the formic acid dimer can be termed as a resonance assisted double proton transfer. Our finding on the above analysis suggest that the synchronous double proton transfer in the formic acid dimer is due to the formation of (a) Speakman-Hadzi type of short strong hydrogen bonds and (b) Resonance assisted hydrogen bond at the transition state. 
Sharan Shetty, Sourav Pal, Dilip G. Kanhere, Annick Goursot