For any atom, there are 7 5f orbitals. The f-orbitals room unusual in that there room two sets of orbitals in common use. The first set is well-known as the general set, this page. The second set is the cubic set, this page and also these could be proper to use if the atom is in a cubic environment, because that instance. 3 of the orbitals are typical to both sets. These space are the 5fxyz, 5fz3, and 5fz(x2-y2) orbitals.

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The higher f-orbitals (6f and 7f) room more complex since they have more spherical nodes when the reduced orbitals (5f) have actually none.

## 5f atom orbitals general set

The shape of the 7 5f orbitals (general set). from left to right: (top row) 5fz3, (next to height row) 5fyz2, 5fxz2, (next to bottom row) 5fxyz, and also 5fz(x2-y2), (bottom row) 5fy(3x2-y2), 5fx(x2-3y2). Because that each, the green zones space where the wave features have hopeful values and also the white area denote an adverse values.

The 7 5f orbitals. Use the previous and also next icons to see other views

The seven 5f orbitals consisting of orbital nodes. Use the previous and next icons to see various other views

Nodes of the 7 5f orbitals. Use the previous and next symbols to see various other views

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In the general collection of 5f orbitals, there room four unique shapes, every of which own a variety of planar and conical nodes. The 5f orbitals carry out not possess any kind of radial nodes.

The 5fz3 orbital (top row in the photo above) has a planar node in the xy airplane and 2 conical nodes through their exes follow me the z-axis.

The 5fyz2 and also 5fxz2 orbitals (next to peak row in the photo above) are related to each other by a 90° rotation around the z-axis. At very first sight, castle are comparable in form to the 5fy(3x2-y2) and also 5fx(x2-3y2) orbitals yet they space not. While this orbitals contain six lobes, the nodal planes room not at 60° to every other and two of the six lobes space "bean-shaped".

The 5fxyz and also 5fz(x2-y2) (next to bottom row in the photo above) each have actually eight lobes and also are related to each other by a 45° rotation about the z-axis. Every orbital has actually three nodal planes, which for the 5fxyz space the xy, xz, and also yz planes.

The 5fy(3x2-y2) and 5fx(x2-3y2) orbitals (bottom heat in the image above) are pertained to each various other by a 90° rotation around the z-axis. Each orbital has six lobes be separated by 3 nodal plane lying in ~ 60° to every other.

## 5f atomic orbitals cubic set

The shape of the seven 5f orbitals (cubic set). from left come right: (top row) 5fy3, 5fz3, 5fx3, (middle row) 5fy(z2-x2), 5fz(x2-y2), and also 5fx(z2-y2)(bottom row) 5fxyz. Because that each, the environment-friendly zones are where the wave features have confident values and also the white area denote negative values.

In the cubic collection of 5f orbitals, there space two unique shapes, every of which own a variety of planar and conical nodes. The 5f orbitals each possess one radial node.

The 5fxyz, 5fx(z2-y2), 5fy(z2-x2), and also 5fz(x2-y2) (bottom 2 rows in the image above) each have actually eight lobes. The 5fx(z2-y2), 5fy(z2-x2), and 5fz(x2-y2) orbitals are pertained to each various other by 45° rotations around the x, y, and z-axis respectively. Each orbital has three nodal planes, which for the 5fxyz room the xy, xz, and also yz planes.

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The 5fx3, 5fy3, and 5fz3 orbitals (top row in the picture above) has a planar node in the xy plane and two conical nodes orientated along the z-axis. The other two orbitals are related through 90° rotations.