Theoretical model for the hydrogen bond
Please go through papers by Prof. Ralf Ludwig. You will certainly gain a lucid understanding of the subject both at experimental end as well as computational end. He advocates use of low frequency vibrational modes such as Far IR along with quantum chemistry for studying hydrogen bonding and allied weak interactions in very simplistic yet the most accurate way.

References:


"Hydrogen Bonding in protic ionic liquids: Reminiscent of Water." K. Fumino, A. Wulf, R. Ludwig., Angew. Chem., 2009, 121, 3230-3233. Angew. Chem. Int. Ed., 2009, 48, 3184-3186.  
"Advancing into Water’s “No Man’s Land”: Two Liquid States?" D. Paschek, R. Ludwig, Angew. Chem., 2014, 126 (44), 11888-1890. Angew. Chem. Int. Ed., 2014, 53 (44), 11699–11701.