# 6*f* radial distribution function

**Schematic plot of the 6 f radial distribution function r^{2}R_{6f}^{2}** (

*R*

_{6f}= radial wave function).

For 6*f*-orbitals, the radial distribution function is related to the product obtained by multiplying the square of the radial wave function *R*_{6f} by *r*^{2}. 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 6*f*-orbitals have (6 - 4) = 2 radial nodes, as shown in the above plot. Further radial nodes are evident in the higher *f*-orbitals (7*f*) while lower *f* orbitals (4*f* and
5*f*) display fewer.

The Orbitron

^{TM}, 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.