Question

what is radial function ,angular function and wave function

Answer 1

A wave function is a mathematical expression of a wave, which contains all the information about the wave, and is generally expressed by Ψ.
Atomic orbitals (which are a wave function) can be expressed by spherical coordinates, i.e. r , θ , and Ï• . For a point (r, θ, Ï•) , where the variable r represents the distance from the center of the nucleus, θ represents the angle to the positive z-axis, and Ï• represents the angle to the positive x-axis in the xy-plane.
Thus
Ψ (r, θ, Ï•) = R(r) Y (θ, Ï•)
The part which depends on the distance from centre, i.e. R(r) is called radial function, and the part which depends on θ and Ï•, i.e. Y (θ, Ï•) is called angular function.