# Atomic orbitals: 2*p* radial distribution function

**Schematic plot of the 2 p radial distribution function 4πr^{2}ψ_{2p}^{2}**

For 2*p*-orbitals, the radial distribution function is related to the product obtained by multiplying the square of the radial wave function *R*_{2p} by *r*^{2}. By definition, it is independent of direction.

All of *p*-orbitals have one planar node, The 2*p* radial distribution function show no radial nodes but the higher *p* orbitals do. The number of nodes is related to the principal quantum number, *n*. In general, the *np* orbital have (*n* - 2) radial nodes. Therefore, the 2*p*-orbital has (2 - 2) = 0 radial nodes, as shown in the above plot. Radial nodes become evident in the higher *p*-orbitals (
3*p*,
4*p*,
5*p*,
6*p*, and
7*p*).

The Orbitron

^{TM}, 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.