Question

How many electrons can be described by the quantum numbers n=3 l=3 ml=1?

Answer 1

Since each orbital can hold a maximum of 2 electrons, one having spin-up and one having spin-down, you can say that you have.

5orbitals ⋅2 e−1orbital =10 e−

Therefore, a maximum number of 10 electrons can share these two quantum numbers in an atom. n=3,l=2.

Answer 2

The number of electrons described by the quantum numbers n=3 l=3 ml=1 is 10.

Given,

Quantum number orientation of the electronic configuration, n=3, l=3 and m=1.

To find,

number of electrons described by the quantum numbers n=3 l=3 ml=1.

Solution:

• The solution of Schrodinger wave equation provides us with mainly three quantum numbers, which are listed below:
• Principal quantum number(n)
• Azimuthal quantum number(l)
• Magnetic quantum number(ml).
• n represents the shell number.
• l represents the shape of the subshell, value of l depends on n. Its values can be from 0 to (n-1).
• ml represents orientation of electron cloud in a 3D space. Its values range from -l to +l.

Thus, the value of l given in the question is wrong, its value can only be 0, 1 and 2.

Taking the value of l to be 2.

It describes that 3rd shell has a d-subshell(l=2) and its orientation is dxy/dzx.

As d-subshell contains 10 electrons, thus 10 electrons are present.

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