Quantum Numbers Calculator

Validate quantum number sets and explore electron configurations

Example Calculations

Quantum Number Rules

n (Principal): Positive integer (1, 2, 3, ...) - determines energy level and size

l (Azimuthal): 0 to n-1 - determines orbital shape (0=s, 1=p, 2=d, 3=f)

ml (Magnetic): -l to +l - determines orbital orientation in space

ms (Spin): +1/2 or -1/2 - determines electron spin direction

Pauli Exclusion: No two electrons can have identical quantum number sets

What are Quantum Numbers?

Quantum numbers are a set of four numbers that describe the unique quantum state of an electron in an atom. They arise from solutions to the SchrΓΆdinger equation and define the electron's energy, orbital shape, spatial orientation, and spin. Understanding quantum numbers is fundamental to electron configuration, chemical bonding, and predicting atomic properties.