Question

Question #9f08d

Answer 1

Here's what I get.

Explanation:

An angular node is a planar or conical surface.

A radial node is a spherical surface surrounding the nucleus.

For a given orbital:

• `"number of nodes" = n-1`
• `"number of angular nodes" = l`
• `"number of radial nodes" = n – l – 1`

For a `4p` orbital

`n = 4; l = 1`

• `"Number of nodes" = 4-1= 3`
• `"Number of angular nodes" = 1`
• `"Number of radial nodes" = 4 – 1 – 1 = 2`

Thus, a `4p` orbital has one angular node and two radial nodes.

(Adapted from fineartamerica.com)

For example, a `4p_z` orbital has an angular node in the `xy` plane, with a small spherical node close to the nucleus and a larger one further out.

For a `5f` orbital

`n = 5; l = 3`

• `"Number of nodes" = 5-1= 4`
• `"Number of angular nodes" = 3`
• `"Number of radial nodes" = 5 – 3 – 1 = 1`

A `5f` orbital has three angular nodes and one radial node.

Above is a picture of one of the `"5f"` orbitals.

You can see a radial node and three planar nodes perpendicular to the screen.