#
RADIAL PROBABILITY DISTRIBUTION CURVES - ATOMIC ORBITALS

# 5) The correct radial probability distribution
curve for the hydrogen atomic orbital with principal quantum number, n = 3
and azimuthal quantum number, *l* = 1 is: (4πr^{2}ψ^{2 }=
radial probability density function and r = radial distance from the nucleus)

**Logic:**

Radial distribution curve gives an idea about the electron density at a
radial distance from the nucleus. The value of 4πr^{2}ψ^{2}
(radial probability density function) becomes zero at a nodal point, also known
as radial node.

The number of radial nodes for an orbital = n-*l*-1.

Where n = principal quantum number and l= azimuthal quantum number.

## **Solution:**

Since n = 3 and l = 1 for the given atomic orbital (3p orbital), the number
of radial nodes = 3-1-1 = 1.

Hence the radial probability distribution curve should contain a trough
representing a radial node.

There are two graphs showing this behavior. The correct one is option-3,
since the distance of maximum probability occurs at greater distance. I mean the
crest with more height should be farther from smaller crest

### Homework:

1) Which of the above curve corresponds to s orbital?

2) Mention the orbitals which can show radial probability distribution curve
given under option-1?

3) Is it possible to get the shapes of orbitals with the help of these
curves?

4) What is exactly radial node? (copied from adichemistry.com). What s the
difference between angular node and radial node?

5) Calculate the number of radial nodes for 1s, 2s, 3s, 2p, 3p, 4p, 3d, 4d
& 5d orbitals.