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Quantum Number Calculator

Quantum Number Calculator

Specify the type of Quantum number and add the value of n and the calculator will calculate the quantum numbers instantly.


Enter the value of 𝑛: Enter the value of 𝑙:


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The quantum number calculator allows you to find out the possible values for the quantum against the provided shell or sub-shell.

You just have to put the values in the respective fields of this tool and get the allowed combination of quantum numbers and know the maximum number of electrons in a matter of seconds. 

What is a Quantum Number?

It’s a set of values that are used to describe the electrons of an atom clearly. They are used to tell about the energy of electrons, angular momentum, spin and magnetic moment. It basically defines the approx location of the electrons inside the atom. 

There are a total of four Quantum numbers that help in knowing the complete details about the electron of an atom.

Let’s take a look at them:

  • principle quantum number(n).
  • Angular momentum quantum number (l).
  • Spin quantum number (ms), 
  • Number of orbitals.

Principle Quantum Number(n):

This value tells about the main energy shell or state of the electron. It is represented by n. The allowable values for n are:

n =1234……

When the value of n is one, it’s called the first shell. This shell is the closest one and has the lowest energy as compared to the other shells. 

Angular Momentum Quantum Number:

A number that helps in defining the shape of the orbit is known as the angular momentum quantum number. This number is denoted by the l and it can range from zero to n-1.

L= SQRT [l(l+1)]x (h/2)

It also provides the number of subshells and sublevels of a shell and additionally the shape of the orbit. 

Magnetic Quantum Number:

The magnetic quantum number helps in knowing the total number of orbits and the orientation. This number is represented by the symbol of “ml”. Allowed values are “ml = -1, 0, +1”.

Spin Quantum Number:

This value is independent of n, I and m. It allows you to easily determine the direction in which the electron is spinning. The electron spin quantum number is represented by “ms”. 

It can take two values such as; −1/2 or +1/2. 

S = SQRT[S(s+1)] (h/2)

Working of Quantum Number Calculator:

Use our online quantum calculator to find out the quantum number conveniently. As it let the users perform the calculations by just adding the inputs! Let’s see how:

  • Choose the type of “Quantum number” from the drop-down menu of the calculator.
  • Enter the value of “n” in the specified field. 
  • Tap on “calculate”.
  • Quantum Numbers.
  • Allowed combinations of quantum numbers.

Get the assistance of this online quantum number calculator and identify all allowable combinations of quantum numbers for an electron.


What Do Quantum Numbers Tell Us?

This is a number of series that are utilized to represent the location of an electron in the atom. It specifies the properties of the atomic orbitals. 

Which Characteristic is Given by the Angular Momentum Quantum Number?

Let’s take a look at the following characteristics that are given by angular momentum quantum number:

  • Orbital size
  • Orbital shape
  • A number of subshells

Which Quantum Number describes the Average Relative Distance of the Electron from the Nucleus?

The average relative distance of the electron is described by the principal quantum number (n). An increase in the value of “n” means an increase in the distance of electrons from the nucleus. 

How to Find ml Quantum Number?

ml is used to represent the magnetic quantum number, it basically refers to the number of orbitals in a subshell of the atom.
ml = 2l + 1. 

You can also find the ml quantum number with the help of a free quantum numbers calculator effortlessly. 


From the source of Quantum Numbers. What are Quantum Numbers?

From the source of Wikipedia: Quantum, Discovery.