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.


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


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


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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.


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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.