Binding Energy (redirected from mass deficiency)

binding energy

Energy required to separate a particle from a system of particles or to disperse all the particles of a system. Nuclear binding energy is the energy required to separate an atomic nucleus into its constituent protons and neutrons. It is also the energy that would be released by combining individual protons and neutrons into a single nucleus. Electron binding energy, or ionization potential, is the energy required to remove an electron from an atom, molecule, or ion, and also the energy released when an electron joins an atom, molecule, or ion. The binding energy of a single proton or neutron in a nucleus is about a million times greater than that of a single electron in an atom.

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binding energy [′bīn·diŋ ¦en·ər·jē]

(physics)

Abbreviated BE. Also known as total binding energy (TBE).

The net energy required to remove a particle from a system.

The net energy required to decompose a system into its constituent particles.

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Energy, Binding 

(also separation energy), the energy of any bound system of particles (such as an atom) equal to the work required to decompose the system into constituent particles such that they are an infinite distance from each other and cannot interact. It is a negative quantity, since energy is released in the course of the formation of the bound state, and its absolute value characterizes the bond strength (for example, the stability of nuclei).

According to the Einstein relation, the binding energy is equivalent to the mass defect Δm: ΔE = Δmc², where c is the velocity of light in a vacuum (seeMASS DEFECT). It is determined by the type of interaction between the particles in a given system. Thus, the binding energy of the nucleus is due to the strong interactions of the nucleons in the nucleus (in the more stable nuclei of intermediate atoms, the specific binding energy is ~8 × 10⁶ electron volts [eV]). The energy may be released when light nuclei fuse into heavier ones, as well as upon the fission of heavy nuclei, which is explained by the decrease of the specific binding energy with increasing atomic number.

The binding energy of electrons in an atom or molecule is determined by the electromagnetic interactions, and for each electron it is proportional to the ionization potential; it is equal to 13.6 eV for an electron of the hydrogen atom in the normal state. These same interactions are responsible for the binding energy of atoms in a molecule or crystal. In the case of the gravitational interaction, the binding energy is ordinarily small; however, it may be of considerable magnitude for certain celestial objects, such as black holes.