For any atom, over there are 7 5f orbitals. The f-orbitals are unusual in the there room two set of orbitals in typical use. The first set is known as the general set, this page. The 2nd set is the cubic set, this page and these can be proper to use if the atom is in a cubic environment, for instance. Three of the orbitals are usual to both sets. These are are the 5fxyz, 5fz3, and also 5fz(x2-y2) orbitals.

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The higher f-orbitals (6f and also 7f) space more complicated since lock have an ext spherical nodes while the lower orbitals (5f) have none.

5f atom orbitals general set


The shape of the 7 5f orbitals (general set). from left to right: (top row) 5fz3, (next to optimal row) 5fyz2, 5fxz2, (next to bottom row) 5fxyz, and 5fz(x2-y2), (bottom row) 5fy(3x2-y2), 5fx(x2-3y2). For each, the environment-friendly zones room where the wave features have confident values and the white zones denote negative values.


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The seven 5f orbitals. Use the previous and next symbols to see various other views


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The seven 5f orbitals including orbital nodes. Use the previous and also next symbols to see other views


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


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

The 5fz3 orbit (top row in the picture above) has actually a planar node in the xy aircraft and two conical nodes v their exes along the z-axis.

The 5fyz2 and 5fxz2 orbitals (next to height row in the photo above) are regarded each various other by a 90° rotation about the z-axis. At very first sight, they are similar in form to the 5fy(3x2-y2) and 5fx(x2-3y2) orbitals yet they room not. While these orbitals contain 6 lobes, the nodal planes are not in ~ 60° to each other and also two that the 6 lobes room "bean-shaped".

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

The 5fy(3x2-y2) and 5fx(x2-3y2) orbitals (bottom heat in the picture above) are related to each other by a 90° rotation around the z-axis. Each orbital has actually six lobes be separate by three nodal planes lying in ~ 60° to every other.

5f atomic orbitals cubic set

The shape of the seven 5f orbitals (cubic set). from left to right: (top row) 5fy3, 5fz3, 5fx3, (middle row) 5fy(z2-x2), 5fz(x2-y2), and 5fx(z2-y2)(bottom row) 5fxyz. For each, the green zones room where the wave functions have optimistic values and also the white zones denote an adverse values.


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In the cubic set of 5f orbitals, there are two distinct 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 5fz(x2-y2) (bottom two rows in the photo 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 also z-axis respectively. Every orbital has three nodal planes, which for the 5fxyz room the xy, xz, and yz planes.

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The 5fx3, 5fy3, and also 5fz3 orbitals (top row in the picture above) has actually a planar node in the xy airplane and 2 conical nodes orientated follow me the z-axis. The other two orbitals are connected through 90° rotations.