6f radial distribution function

Schematic plot of the 6f radial distribution function r2R6f2 (R6f = radial wave function).

Schematic plot of the 6f orbitals radial distribution function.

For 6f-orbitals, the radial distribution function is related to the product obtained by multiplying the square of the radial wave function R6f by r2. By definition, it is independent of direction.

In addition to three planar or conical nodes, f-orbitals (n > 4) 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 nf orbital has (n - 4) radial nodes, so the 6f-orbitals have (6 - 4) = 2 radial nodes, as shown in the above plot. Further radial nodes are evident in the higher f-orbitals (7f) while lower f orbitals (4f and 5f) display fewer.

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