# 6*g* atomic orbitals

For any atom, there are nine 6*g* orbitals. The higher *g*-orbitals (7*g*) are more complex since they have more spherical nodes while lower *g*-orbitals (6*g*) have none.

**The shapes of the nine 6 g orbitals.** From left to right: (top row) 6

*g*

_{z4}, (next to top row) 6

*g*

_{z3x}and 6

*g*

_{z3y}, (middle row) 6

*g*

_{z2xy}and 6

*g*

_{z2(x2 - y2)}, (next to bottom row) 6

*g*

_{zx3}and 6

*g*

_{zy3}, (bottom row) 6

*g*

_{xy(x2-y2)}and 6

*g*

_{x4 + y4}. For each, the purple zones are where the wave functions have positive values and the white zones denote negative values.

The 6*g*_{xy(x2-y2)} and 6*g*_{x4 + y4} (bottom row in the image above) are related to each other by a 22.5° rotation about the *z*-axis.

The 6*g*_{zx3} [an abbreviation for 6*g*_{xz(x2 - 3y2)}] and 6*g*_{zy3} [an abbreviation for 6*g*_{yz(3x2 - y2)}] orbitals (next to bottom row in the image above) are related to each other by a 30° rotation about the *z*-axis.

The 6*g*_{z2xy} [an abbreviation for 6*g*_{xy(6z2 - x2 - y2)}] and 6*g*_{z2(x2 - y2)} [an abbreviation for 6*g*_{(x2 - y2)(6z2 - x2 - y2)}] orbitals (middle row in the image above) are related to each other by a 45° rotation about the *z*-axis.

The 6*g*_{z3x} and 6*g*_{z3y} (next to top row in the image above) are related to each other by a 90° rotation about the *z*-axis.

The Orbitron

^{TM}, 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.