Quantum Numbers Calculator

Calculate, validate, and understand the four quantum numbers that describe electron states.

Quantum Numbers

Principal Quantum Number (n) - Energy Level

Angular Momentum Quantum Number (l) - Subshell

Magnetic Quantum Number (ml) - Orbital Orientation

Spin Quantum Number (ms) - Electron Spin

Quantum Numbers Status

VALID

(2, 1, 0, +0.5)

nOrbital

lShape

Dumbbell

2n2Max e- (Shell)

4l+2Max e- (Subshell)

Node Information:

Radial Nodes

Angular Nodes

Total Nodes

Spin State:

Up (alpha)

n (Principal)

Energy level/shell. Values: 1, 2, 3, ... Determines size and energy.

l (Angular Momentum)

Subshell shape. Values: 0 to n-1. s=0, p=1, d=2, f=3.

ml (Magnetic)

Orbital orientation. Values: -l to +l. Determines spatial orientation.

ms (Spin)

Electron spin. Values: +1/2 or -1/2. Intrinsic angular momentum.