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Hydrogen Bonding

The electrostatic attraction between a hydrogen atom bonded to an electronegative atom (O, N) and another electronegative atom, vital for stabilizing secondary structures.
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The statement of the theorem

Define the hydrogen bond potential VH−bondV_{H-bond} between a donor (D), a hydrogen (H), and an acceptor (A) based on distance rDAr_{DA} and the angle θDHA\theta_{DHA}. A common empirical form is: VH−bond=ϵH−bond(1rDA)(cos⁡(θDHA−θ0)−1)exp⁡(−k(rDA−r0)2).V_{H-bond} = \epsilon_{H-bond} \left( \frac{1}{r_{DA}} \right) \left( \cos(\theta_{DHA} - \theta_0) - 1 \right) \exp\left( -k (r_{DA} - r_0)^2 \right). The total H-bond energy EH−bondE_{H-bond} is the sum over all potential donor-acceptor pairs: EH−bond=∑pairsVH−bond.E_{H-bond} = \sum_{\text{pairs}} V_{H-bond}.