Hydrogen bond

In chemistry, a hydrogen bond (H-bond) is a specific type of molecular interaction that exhibits partial covalent character and cannot be described as a purely electrostatic force. It occurs when a hydrogen (H) atom, covalently bonded to a more electronegative donor atom or group (Dn), interacts with another electronegative atom bearing a lone pair of electrons—the hydrogen bond acceptor (Ac). Unlike simple dipole–dipole interactions, hydrogen bonding arises from charge transfer (nB → σ*AH), orbital interactions, and quantum mechanical delocalization, making it a resonance-assisted interaction rather than a mere electrostatic attraction. The general notation for hydrogen bonding is Dn−H···Ac, where the solid line represents a polar covalent bond, and the three dots indicate the hydrogen bond. Hydrogen bond donors have a protic hydrogen attached to an electronegative atom such as nitrogen (N), oxygen (O), and fluorine (F). Hydrogen bond acceptors have a lone pair of electrons, such as the nitrogen atom of amines and amides and the oxygen atom of carboxylates and water. The term "hydrogen bond" is generally used for well-defined, localized interactions with significant charge transfer and orbital overlap, such as those in DNA base pairing or ice. In contrast, "hydrogen-bonding interactions" is a broader term used when the interaction is weaker, more dynamic, or delocalized, such as in liquid water, supramolecular assemblies (e.g.: lipid membranes, protein-protein interactions), or weak C-H···O interactions. This distinction is particularly relevant in structural biology, materials science, and computational chemistry, where hydrogen bonding spans a continuum from weak van der Waals-like interactions to nearly covalent bonding. Hydrogen bonding can occur between separate molecules (intermolecular) or within different parts of the same molecule (intramolecular). Its strength varies considerably, depending on geometry, environment, and the donor-acceptor pair, typically ranging from 4.2 to 167.4 kJ/mol (1 to 40 kcal/mol). This places hydrogen bonds stronger than van der Waals interactions but generally weaker than covalent or ionic bonds. Hydrogen bonding plays a fundamental role in chemistry, biology, and materials science. It is responsible for the anomalously high boiling point of water, the stabilization of protein and nucleic acid structures, and key properties of materials like paper, wool, and hydrogels. In biological systems, hydrogen bonds mediate molecular recognition, enzyme catalysis, and DNA replication, while in materials science, they contribute to self-assembly, adhesion, and supramolecular organization.

Bonding

Definitions and general characteristics In a hydrogen bond, the electronegative atom not covalently attached to the hydrogen is named the proton acceptor, whereas the one covalently bound to the hydrogen is named the proton donor. This nomenclature is recommended by the IUPAC. The hydrogen of the donor is protic and therefore can act as a Lewis acid and the acceptor is the Lewis base. Hydrogen bonds are represented as H···Y system, where the dots represent the hydrogen bond. Liquids that display hydrogen bonding (such as water) are called associated liquids.

Hydrogen bonds arise from a combination of electrostatics (multipole-multipole and multipole-induced multipole interactions), covalency (charge transfer by orbital overlap), and dispersion (London forces). In weaker hydrogen bonds, hydrogen atoms tend to bond to elements such as sulfur (S) or chlorine (Cl); even carbon (C) can serve as a donor, particularly when the carbon or one of its neighbors is electronegative (e.g., in chloroform, aldehydes and terminal acetylenes). Gradually, it was recognized that there are many examples of weaker hydrogen bonding involving donor other than N, O, or F and/or acceptor Ac with electronegativity approaching that of hydrogen (rather than being much more electronegative). Although weak (about 4.2 kJ/mol (1 kcal/mol)), "non-traditional" hydrogen bonding interactions are ubiquitous and influence structures of many kinds of materials. The definition of hydrogen bonding has gradually broadened over time to include these weaker attractive interactions. In 2011, an IUPAC Task Group recommended a modern evidence-based definition of hydrogen bonding, which was published in the IUPAC journal Pure and Applied Chemistry. This definition specifies:

The hydrogen bond is an attractive interaction between a hydrogen atom from a molecule or a molecular fragment X−H in which X is more electronegative than H, and an atom or a group of atoms in the same or another molecule, in which there is evidence of bond formation.

Bond strength Hydrogen bonds can vary in strength from weak (1–2 kJ/mol) to strong (161.5 kJ/mol in the bifluoride ion, HF2-). Typical enthalpies in vapor include:

F−H···F− (161.5 kJ/mol (38.6 kcal/mol)), illustrated uniquely by HF2- O−H···N (29 kJ/mol (6.9 kcal/mol)), illustrated water-ammonia O−H···O (21 kJ/mol (5.0 kcal/mol)), illustrated water-water, alcohol-alcohol N−H···N (13 kJ/mol (3.1 kcal/mol)), illustrated by ammonia-ammonia N−H···O (8 kJ/mol (1.9 kcal/mol)), illustrated water-amide OH+3···OH2 (18 kJ/mol (4.3 kcal/mol)) The strength of intermolecular hydrogen bonds is most often evaluated by measurements of equilibria between molecules containing donor and/or acceptor units, most often in solution. The strength of intramolecular hydrogen bonds can be studied with equilibria between conformers with and without hydrogen bonds. The most important method for the identification of hydrogen bonds also in complicated molecules is crystallography, sometimes also NMR-spectroscopy. Structural details, in particular distances between donor and acceptor which are smaller than the sum of the van der Waals radii can be taken as indication of the hydrogen bond strength. One scheme gives the following somewhat arbitrary classification: those that are 63 to 167 kJ/mol (15 to 40 kcal/mol), 21 to 63 kJ/mol (5 to 15 kcal/mol), and 0 to 21 kJ/mol (0 to 5 kcal/mol) are considered strong, moderate, and weak, respectively. Hydrogen bonds involving C−H bonds are both very rare and weak.

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