# What are the different kinds of f orbitals?

##### 2 Answers

#### Explanation:

So there is only one kind of

So the

With the different dimensions. Hope it helps.

They are quite complicated, and can often do combinations of

For an introduction into these kinds of bonds:

The **three types** (here, we use the convention that outer atoms point their

**Two lobes** -

- The
#f_(z^3)# (#m_l = 0# ) is the only one that only#sigma# bonds. It can bond head-on along the#z# axis.

**Six lobes** -

- The
#f_(y(3x^2 - y^2))# (#m_l = -3# ) can#sigma# bond along the#x# axes (for example, with a#p_y# orbital) AND#pi# bond along the#y# axes (for example, with a#p_x# orbital, or a#d_(xy)# orbital).

It can alternatively form a

#phi# bond (a six-lobed side-on overlap) along the#xy# plane (with another#f_(y(3x^2 - y^2))# orbital in a bimetallic complex).

- The
#f_(x(x^2 - 3y^2))# (#m_l = +3# ) can#sigma# bond along the#y# axes (for example, with a#p_y# orbital) AND#pi# bond along the#x# axes (for example, with a#p_x# orbital, or a#d_(xy)# orbital).

It can alternatively form a

#phi# bond (a six-lobed side-on overlap) along the#xy# plane (with another#f_(x(x^2 - 3y^2))# orbital in a bimetallic complex).

- The
#f_(yz^2)# (#m_l = -1# ) can form decent#sigma# bonds along the#y# axes, AND/OR#pi# bonds along the#y# AND#z# axes.

It can alternatively form a

#phi# bond (a six-lobed side-on overlap) along the#yz# plane (with another#f_(yz^2)# orbital in a bimetallic complex).

- The
#f_(xz^2)# (#m_l = +1# ) can form decent#sigma# bonds along the#x# axes, AND/OR#pi# bonds along the#x# AND#z# axes.

It can alternatively form a

#phi# bond (a six-lobed side-on overlap) along the#xz# plane (with another#f_(xz^2)# orbital in a bimetallic complex).

**Eight lobes** -

- The
#f_(z(x^2 - y^2))# (#m_l = -2# ) is for#pi# bonding along ANY of the axes,#x,y# , or#z# . The lobes lie above and below each of the axes, but also along them.

It can alternatively form a

#delta# bond with another#f_(z(x^2 - y^2))# orbital in a bimetallic complex.

- The
#f_(xyz)# (#m_l = +2# ) is for#delta# bonding along ANY of the planes (#xz, yz, xy# ) (for example, with#d_(xy)# ,#d_(xz)# , or#d_(yz)# orbitals).

It can alternatively form a

#pi# bond with another#f_(xyz)# orbital in a bimetallic complex.