a how many radial nodes are present in the radial eigenfunct

a   how many radial nodes are present in the radial eigenfunction associated with the 3p atomic orbital associated with the 3p atomic orbital for hydrogen like atom?? what about the corresponding sperical harmonic??

b for the hydrogen like Platinium ion (Pt 77+), at what values of r will the radial nodes appear in the 3d orbital??

Solution

follow this

To determine radial nodes, you use the equation (n - l - 1)

So for 3s, s has an l value of 0, so the number of radial nodes would be (3 (for the principle quantum number) - 0 (azimuthal quantum number) - 1) = 2 radial nodes

For 3p, it would be (3 - 1 - 1) = 1 radial node

To answer your last question, radial nodes are places where the wave function is zero meaning that the probability of finding an election in those spots is zero.

Just to clear the other questions if there are any:

l = angular node (another word would be planar)
total nodes = (n - 1)