R(r) is the radial part of the wave function and r is the distance of electron from the nucleus.

For an orbital in B^(+4) , radial function is R_((r)) =(1)/(9sqrt(6))((Z)/(a_(0)))^(3//4) (4- sigma )sigma e^(-sigma//2) where sigma =(Zr)/(a_(0)), a_(0)=0.529 Å, Z= atomic number, and r is the radial distance from the nucleus. Find the distance of the rdial node from the nucleus.

Radial part of the wave function depends on quantum numbers

Radial part of the wave function depends on quantum numbers

The radial part of wave function depends on the quantum numbers.

Radial part of the wave function depends upon quantum numbers-

When Schrodinger wave equation in polar coordinates is solved the solution for Phi is of the form Psi (r, theta , phi)= R(r) , Y(theta , phi) . Here R(r) is radial part of wave function and Y(theta, phi) is angular part of the wave function. The region or space where probability of finding electron is zero is called nodal surface. If the probability of finding electron is zero then Psi^2 (r, theta, phi)=0 implies Psi (r, theta, phi)=0 If the radial wave function is equal to zero we get radial node and if angular part is equal to zero we get angular nodes. Total no. of nodes for any orbital = n - 1. Where ‘n’ is principal quantum number. Number of radial nodes for 4f orbital

The variation of radial probability density R^2 (r) as a function of distance r of the electron from the nucleus for 3p orbital:

The variation of radial probability density R^2 (r) as a function of distance r of the electron from the nucleus for 3p orbital: