Quantum mechanics

Chemical physics

Crystal (programming language)

Pure mathematics

Classical electron radius

Materials science

Computer security

Field (mathematics)

Scattering

RADIUS

Atomic physics

Molecule

Computer science

Atomic radius

Physics

Mathematics

Ionic radius

Tetrahedron

Ionic bonding

Crystallography

Chemistry

Programming language

Atoms in molecules

Bond length

The Journal of Chemical Physics

A set of empirical atomic radii has been set up, such that the sum of the radii of two atoms forming a bond in a crystal or molecule gives an approximate value of the internuclear distance. These radii give fair agreement with experiment in over 1200 cases of bonds in all types of crystals and molecules, with an average deviation of about 0.12 Å. The radii are similar to a set suggested by W. L. Bragg in 1920, but refined by consideration of many more crystals. They hold for covalent, metallic, and ionic binding equally well. These radii agree remarkably well with calculated radii of maximum radial charge density in the outermost shells of the atoms, as taken from previously unpublished calculations of D. Liberman, J. T. Waber, and D. T. Cromer, of the Los Alamos Laboratory, by relativistic self‐consistent field calculation, using the exchange correction suggested in 1951 by the present author. There is discussion of the probable reason for this agreement, and discussion of the relation of these radii to the ionic radii of Pauling, Zachariasen, and others, and the tetrahedral and metallic radii of Pauling.

Atomic Radii in Crystals