Atomic orbitals: 5d radial distribution function

Schematic plot of the 5d radial distribution function r2R5d2 (R5d = radial wave function).

Schematic plot of the 4d orbitals radial distribution function.

For 5d-orbitals, the radial distribution function is related to the product obtained by multiplying the square of the radial wave function R5d by r2. By definition, it is independent of direction.

In addition to two planar nodes (or two conical node in the case of the 4dz2 orbital), d-orbitals, display a number of radial nodes that separate the largest, outer, component from the inner components. The number of nodes is related to the principal quantum number, n. In general, the nd orbitals have (n - 3) radial nodes. Therefore, the 5d-orbitals each have (5 - 3) = 2 radial nodes, as shown in the above plot. Further radial nodes become evident in higher d-orbitals (6d and 7d) but fewer nodes in lower d-orbitals (3d and 4d)


The OrbitronTM, a gallery of orbitals on the WWW: https://winter.group.shef.ac.uk/orbitron/
Copyright 2002-2021 Prof Mark J. Winter [Department of Chemistry, The University of Sheffield]. All rights reserved.