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Atomic orbitals: 5f (cubic set)For any atom, there are seven 7f orbitals. The forbitals are unusual in that there are two sets of orbitals in common use. Those shown here are the cubic set and these are appropriate to use if the atom is in a cubic environment, for instance. The other set is known as the general set. Three of the orbitals are common to both sets. These are are the 7f_{xyz}, 7f_{z3}, and 7f_{z(x2y2)} orbitals. Follow the links towards the base of the page for information about individual orbitals. The shape of the seven 7f orbitals (cubic set). From left to right: (top row) 7f_{y3}, 7f_{x3}, 7f_{z3}, (middle row) 7f_{x(z2y2)}, 7f_{y(z2x2)}, 7f_{z(x2y2)}, and (bottom row) 7f_{xyz}. For each, the blue zones are where the wave functions have negative values and the gold zones denote positive values. In the cubic set of 7f orbitals, there are two distinct shapes, each of which possess a number of planar and conical nodes. Each of the 7f orbitals possess three radial nodes. The 7f_{xyz}, 7f_{x(z2y2)}, 7f_{y(z2x2)}, and 7f_{z(x2y2)} (bottom two rows in the image above) each have eight lobes. The 7f_{x(z2y2)}, 7f_{y(z2x2)}, and 7f_{z(x2y2)} orbitals are related to each other by 45° rotations about the x, y, and zaxis respectively. Each orbital has three nodal planes, which for the 7f_{xyz} are the xy, xz, and yz planes. The 7f_{x3}, 7f_{y3}, and 7f_{z3} orbitals (top row in the image above) has a planar node in the xy plane and two conical nodes orientated along the zaxis. The other two orbitals are related through 90° rotations. Links to 7f wave functions
Links to 7f electron density functions
Links to 7f electron "dotdensity" functions  

The Orbitron is a gallery of orbitals on the WWW The Orbitron^{TM}, a gallery of orbitals on the WWW, URL: http://winter.group.shef.ac.uk/orbitron/Copyright 20022015 Prof Mark Winter [The University of Sheffield]. All rights reserved. Document served: Wednesday 21st October, 2020 