Question

which of the following orbitals are degenerate?------3dxy, 4dxy, 3dz2, 4dyz ,4dz2​

Answer 1

Hey!!

== Answer ==

=> 3dxy, 3dz2 is a group degenerate orbitals where n = 3.

=> 4dxy, 4dyz, 4dz2​ is a another group of degenerate orbitals where n = 4.

Answer 2

Answer: 3dxy and $3dz^2$

4dxy, 4dyz and $4dz^2$

Explanation:

Degenerate orbitals are those orbitals which have same value of energy.

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...

Energy of orbitals is given by the expression:

$E=\frac{-Z^2hR}{n^2}$

As E depends only on quantum number n, thus orbitals which have same value of n will have same energy.

3dxy and $3dz^2$ with n=3, will have same energy and and are degenerate

4dxy, 4dyz and $4dz^2$ with n=4, will have same energy and and are degenerate