Question

What is the difference between the probability density and the radial probability density?

Short answer

The difference between the probability density and the radial probability density is proved below.

Step-by-step solution

Given Information

We need to find the difference between the probability density and the radial probability density.

Explanation

Now, in three-dimensional space, the probability density ${\left|\psi \left(x,y,z\right)\right|}^2$is the like of finding an electron in a volume $\sigma V$ta a given position $x,y,z$. The radial probability density ${\left|R_{nl}\right|}^2$is like of finding an electron at the distance $r$from the origin. then, both have units of ${\left(length\right)}^{-3}$