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Atomic orbitals: 5f (cubic set)For any atom, there are seven 5f 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 5f_{xyz}, 5f_{z3}, and 5f_{z(x2y2)} orbitals. Follow the links towards the base of the page for information about individual orbitals. The shape of the seven 5f orbitals (cubic set). From left to right: (top row) 5f_{y3}, 5f_{x3}, 5f_{z3}, (middle row) 5f_{x(z2y2)}, 5f_{y(z2x2)}, 5f_{z(x2y2)}, and (bottom row) 5f_{xyz}. For each, the blue zones are where the wave functions have negative values and the silver zones denote positive values. In the cubic set of 5f orbitals, there are two distinct shapes, each of which possess a number of planar and conical nodes. Each of the 5f orbitals possess one radial node. The 5f_{xyz}, 5f_{x(z2y2)}, 5f_{y(z2x2)}, and 5f_{z(x2y2)} (bottom two rows in the image above) each have eight lobes. The 5f_{x(z2y2)}, 5f_{y(z2x2)}, and 5f_{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 5f_{xyz} are the xy, xz, and yz planes. The 5f_{x3}, 5f_{y3}, and 5f_{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 5f wave functions
Links to 5f electron density functions
Links to 5f 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: Friday 24th January, 2020 