For any atom, over there are 7 5*f* 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 5*f**xyz*, 5*f**z*3, and also 5*f**z*(*x*2-*y*2) orbitals.

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

## 5*f* atom orbitals general set

**The shape of the 7 5 f orbitals (general set).** from left to right: (top row) 5

*f*

*z*3, (next to optimal row) 5

*f*

*y*

*z*2, 5

*f*

*x*

*z*2, (next to bottom row) 5

*f*

*xyz*, and 5

*f*

*z*(

*x*2-

*y*2), (bottom row) 5

*f*

*y*(3

*x*2-

*y*2), 5

*f*

*x*(

*x*2-3

*y*2). For each, the environment-friendly zones room where the wave features have confident values and the white zones denote negative values.

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

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

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

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

The 5*f**z*3 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 5*f**y**z*2 and 5*f**x**z*2 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 5*f**y*(3*x*2-*y*2) and 5*f**x*(*x*2-3*y*2) 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 5*f**xyz* and 5*f**z*(*x*2-*y*2) (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 5*f**xyz* room the *xy*, *xz*, and *yz* planes.

The 5*f**y*(3*x*2-*y*2) and 5*f**x*(*x*2-3*y*2) 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.

## 5*f* atomic orbitals cubic set

**The shape of the seven 5 f orbitals (cubic set).** from left to right: (top row) 5

*f*

*y*3, 5

*f*

*z*3, 5

*f*

*x*3, (middle row) 5

*f*

*y*(

*z*2-

*x*2), 5

*f*

*z*(

*x*2-

*y*2), and 5

*f*

*x*(

*z*2-

*y*2)(bottom row) 5

*f*

*xyz*. For each, the green zones room where the wave functions have optimistic values and also the white zones denote an adverse values.

In the cubic set of 5*f* orbitals, there are two distinct shapes, every of which own a variety of planar and conical nodes. The 5*f* orbitals each possess one radial node.

The 5*f**xyz*, 5*f**x*(*z*2-*y*2), 5*f**y*(*z*2-*x*2), and 5*f**z*(*x*2-*y*2) (bottom two rows in the photo above) each have actually eight lobes. The 5*f**x*(*z*2-*y*2), 5*f**y*(*z*2-*x*2), and 5*f**z*(*x*2-*y*2) 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 5*f**xyz* room the *xy*, *xz*, and *yz* planes.

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The 5*f**x*3, 5*f**y*3, and also 5*f**z*3 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.