7g radial distribution function

Schematic plot of the 7g radial distribution function r2R6g2 (R6g = radial wave function).

Schematic plot of the 7g orbitals radial distribution function.

For 7g-orbitals, the radial distribution function is related to the product obtained by multiplying the square of the radial wave function R5g by r2. By definition, it is independent of direction.

In addition to planar and conical nodes, g-orbitals (n > 5) 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 ng orbital has (n - 5) radial nodes, so the 7g-orbitals have (7 - 5) = 2 radial nodes, as shown in the above plot. Further radial nodes become evident in the higher g-orbitals (8g, 9g, ...) but fewer in the lower orbitals (5g and 6g).

The OrbitronTM, a gallery of orbitals on the WWW: https://winter.group.shef.ac.uk/orbitron/
Copyright 2002-2023 Prof. Mark Winter [The University of Sheffield]. All rights reserved.