# How many radial nodes are in a given atomic orbital as a function of #n# and #l#?

##### 1 Answer

The total number of **nodes** in general is given by

#"Number of Nodes" = n - 1# ,where

#n# is theprincipal quantum number, and#n = 1, 2, 3, 4, . . . # , given as the numerical coefficient for the orbital.

The **angular momentum quantum number**

#"Number of Angular Nodes" = l#

Since there are only two types (radial, angular), it follows that:

#color(blue)(barul(|stackrel(" ")(" ""Number of Radial Nodes" = n - l - 1" ")|))#

*CHALLENGE: Given the above radial density distribution, how many radial nodes are in each orbital? Can you show what it is, mathematically? If there were radial nodes in a radial density distribution, can you describe what you would see occur in the graph?*