Question

calculate the total number of angular and radial nodes present in 3D and 4f orbitals

Answer 1

In addition to three planar nodes, (or one planar and two conical nodes in the case of the 4fx 3, 4fy 3, and 4fz 3 orbitals), f-orbitals display a number of radial nodes that separate the largest, outer, component from the inner components. The number of nodes is related to the principal quantum number, n.

Answer 2

Answer: radial nodes and angular nodes for 3d are 0 and 2 respectively.

radial nodes and angular nodes for 4f are 0 and 3 respectively.

Explanation:

Principle Quantum Numbers : It describes the size of the orbital and the energy level. It is represented by n. Where, n = 1,2,3,4....

Azimuthal Quantum Number : It describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...

1. For 3d

n= 3 and l= 2

radial nodes =  n-l-1 = 3-2-1 = 0

angular nodes = l = 2

2. For 4f:

n= 4 and l= 3

radial nodes = n-l-1 = 4-3-1 = 0

angular nodes = l = 3