Bond-dissociation energy 2026-10-13
A bond-dissociation energy specifies the energy needed for a stated dissociation into separated fragments. An energy from the lowest vibrational state, an energy from the bottom of a potential energy well, and a finite-temperature molar dissociation enthalpy require different conventions; do not silently mix them in an electronegativity formula.
Which fragments, in which quantum states, and at which temperature? For a neutral gaseous molecule with a specified two-electron covalent bond, the usual thermochemical convention is homolysis,Each fragment receives one of the two bonding Electrons; the dots denote unpaired Electrons. The final fragments are isolated from each other, with their own relaxed molecular geometry and specified electronic quantum states. The energy cost includes this relaxation, rather than merely stretching the initial chemical bond while freezing everything else. For a neutral parent, heterolysis instead produces , or the opposite assignment of electric charges; those are different final states and different energies. A value for gaseous neutral fragments cannot be transferred to ions, a chemical solution, or a solid without accounting for those changed conditions.[ref]
bond-dissociation energy. definition of bond-dissociation energy: molar enthalpy for homolysis of a specified molecular entity
The distinction is useful beyond terminology. Pauling electronegativity compares consistently defined bond-dissociation energies; photodissociation can reveal a specified ground-state threshold; a thermal chemical reaction balance requires compatible enthalpies. A threshold is also different from an activation energy: it compares initial and final quantum states, whereas a barrier can obstruct the path between them.
Heterolysis 2026-10-13
Radical (chemistry) 2026-10-13
A radical has one or more unpaired Electrons. In a simple atomic orbital or molecular orbital occupancy picture, an unpaired Electron occupies a spatial orbital without an opposite-spin partner in that orbital. A dot such as marks this electronic property; it does not mean a missing Electron or positive electric charge. Free radicals can be neutral or charged. Terminology also has a boundary: metal ions exhibiting paramagnetism are not normally called free radicals just because they have unpaired Electrons.[ref]
Glossary of Terms Used in Physical Organic Chemistry (IUPAC Recommendations 1994): R entries by International Union of Pure and Applied Chemistry. Glossary of Terms Used in Physical Organic Chemistry, IUPAC Recommendations 1994: radical (or free radical), opening definition and metal-ion qualification
Compare three species containing the same single proton. The hydrogen atom has one Electron in its atomic orbital, and is a neutral radical. The hydrogen cation has no Electrons, so no unpaired Electron. The hydrogen anion has two Electrons paired in its atomic orbital. It is charged but is not a radical in its ground state. With protons, Electrons, and positive elementary charge , the independent electric charge count isThe electron pair and electric charge questions require different information. An odd ensures that not all Electrons can be paired; an even alone does not ensure pairing, as the molecular orbital description of molecular oxygen illustrates.
Electric charge and unpaired Electrons are different properties
. Left: actual ground state occupancies of , , and . Right: stipulated two-orbital models with fixed illustrate neutral, positive, and negative free radicals; those boxes are not assignments for particular chemical substances. Arrows label spin occupancy, not particle trajectories. Details.The distinction matters whenever a chemical reaction mechanism uses dots and charge signs together. Homolysis gives one bonding Electron to each fragment, while heterolysis assigns both to one fragment. A radical chain reaction can pass an unpaired Electron from one species to another without generating net electric charge. Detection then exploits the unpaired Electron's spin and magnetic moment, rather than merely measuring whether the sample carries an electric charge.
